The combined balance of both bank accounts at the end of 3 years is closest to $1039.76.
To calculate the combined balance of both bank accounts after 3 years, we'll calculate the balance for each account separately and then add them together.
For Bank A, we can use the compound interest formula:
A =[tex]P(1 + r/n)^(nt)[/tex]
Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount
r = annual interest rate (as a decimal)
n = number of times that interest is compounded per year
t = number of years
In this case, Wanda deposited $370 at a 2.25% interest rate compounded annually, so we have:
P = $370
r = 2.25% = 0.0225 (as a decimal)
n = 1 (compounded annually)
t = 3 years
Using the formula, we can calculate the balance for Bank A:
A_A = [tex]370(1 + 0.0225/1)^(1*3)[/tex]
=[tex]370(1.0225)^3[/tex]
= 370(1.0678450625)
= $394.76
For Bank B, we can use the simple interest formula:
A = P(1 + rt)
Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount
r = annual interest rate (as a decimal)
t = number of years
In this case, Wanda deposited $600 at a 2.5% simple interest rate, so we have:
P = $600
r = 2.5% = 0.025 (as a decimal)
t = 3 years
Using the formula, we can calculate the balance for Bank B:
A_B = 600(1 + 0.025*3)
= 600(1.075)
= $645
Finally, we can calculate the combined balance of both bank accounts:
Combined Balance = A_A + A_B
= $394.76 + $645
= $1039.76
Therefore, the combined balance of both bank accounts at the end of 3 years is closest to $1039.76.
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Consider the line 5x+2y=−4. What is the equation of the line parallel to the given line that passes through the point (−2, 6) in slope-intercept form? Enter your answer by filling in the boxes to complete the equation.
Answer:
y = -5/2x +1
Step-by-step explanation:
You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.
Parallel lineThe equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:
5(-2) +2(6) = c
-10 +12 = c
2 = c
Now we know the equation of the parallel line can be written as ...
5x +2y = 2
Slope-intercept formSolving for y puts this in slope-intercept form:
2y = -5x +2 . . . . . . . . subtract 5x
y = -5/2x +1 . . . . . . . . divide by 2
We don't know what your boxes look like, but we can separate the numbers to make it look like this:
[tex]\boxed{y=\dfrac{-5}{2}x+1}[/tex]
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What is the area of one of the triangular faces in this square
pyramid?
The area of one of the triangular faces is 31.5 square cm
How to determiene the area of one of the triangular facesFrom the question, we have the following parameters that can be used in our computation:
The square pyramid
The dimensions of the triangular faces are:
Base = 7 cm
Height = 9 cm
The area of the triangular faces is calculated as
Area = 1/2 * Base * Height
Substitute the known values in the above equation, so, we have the following representation
Area = 1/2 * 7 * 9
Evaluate
Area = 31.5
Hence. the area of one of the triangular faces is 31.5 square cm
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Debra has two coupons for a jacket.
Coupon A: 30% off of a $36 jacket
Coupon B: $14 rebate on a $36 jacket
Choose the coupon that gives the lower price.
Then fill in the blank with the correct value.
Coupon A gives the lower price.
The price with coupon A is $ less than the price with coupon B.
Coupon B gives the lower price.
The price with coupon B is $ less than the price with coupon A.
The price with coupon B is $25.20 less than the price with coupon A.
To determine which coupon gives the lower price, let's calculate the prices with each coupon.
Coupon A: 30% off of a $36 jacket:
Discounted price = $36 - 30% of $36
Discounted price = $36 - (0.30 × $36)
Discounted price = $36 - $10.80
Discounted price = $25.20
Coupon B: $14 rebate on a $36 jacket:
Discounted price = $36 - $14
Discounted price = $22
Comparing the prices, we can see that Coupon B gives the lower price of $22.
The price with coupon B is $25.20 less than the price with coupon A.
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-8x - 4y = 4
-5x - y = -11
Hello!
[tex]\sf -5x - y = -11\\\\\boxed{\sf y = 11 - 5x}[/tex]
so:
[tex]\sf -8x - 4(11-5x) = 4\\\\-8x - 44 + 20x = 4\\\\12x - 44 = 4\\\\12x = 4 + 44\\\\12x = 48\\\\\\x = \dfrac{48}{12} \\\\\Large\boxed{\textbf{x = 4}}[/tex]
so:
[tex]\sf y = 11 - 5x\\\\y = 11 - 5*4\\\\y = 11 - 20\\\\\Large\boxed{ \textbf{y = -9}}[/tex]
If a = 10 cm, b = 25 cm, c = 15 cm, and d = 19 cm, what is the area of the poster?
(please help i need this assignment done ASAP)
The area of the posters is given as [tex]250cm*^2 and 285cm^2[/tex]
What is the area of a poster?A poster is a large sheet that is placed either in a public space to promote something or on a wall as decoration
The area of a rectangle is given as l*w or l*b
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
where b = w
Area is 10*25
Therefore the area of the poster is given as [tex]250cm^2[/tex]
And the second poster is given as lbArea = 15*19 =[tex]285cm^2[/tex]
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With the air conditioner on, the electric bill was $265.00. With the air conditioner off, the bill was $235.00. What was the difference between the two bills?
Answer:
$30 difference
Step-by-step explanation:
To find the difference between two numbers, you must subtract the larger number from the smaller number. So to find the difference between these two bills, you need to subtract 265 - 235 = 30.
A quadratic function and an exponential function are graphed below. How do the decay rates of the functions
compare over the interval-2≤x≤0?
8
7
6+
6
4
The exponential function decays at one-half the rate of the quadratic function.
The exponential function decays at the same rate as the quadratic function.
The exponential function decays at two-thirds the rate of the quadratic function.
The required exponential function decays at half the rate of the quadratic function. Option A is correct.
From the graph, we can see that the quadratic function is decreasing faster than the exponential function over the interval -2 ≤ x ≤ 0. The decay rate of the quadratic function can be described as constant since it has a linear decrease. On the other hand, the decay rate of the exponential function is described by its rate parameter, which is the factor by which the function is decreasing at each unit of x.
To compare the decay rates of the functions, we can look at the slopes of their tangent lines at x = -1, which is the midpoint of the interval -2 ≤ x ≤ 0. The slope of the tangent line to the quadratic function at x = -1 is approximately -6, while the slope of the tangent line to the exponential function at x = -1 is approximately -3.
Since the slope of the tangent line to the exponential function is half of the slope of the tangent line to the quadratic function, we can conclude that the exponential function decays at half the rate of the quadratic function over the interval -2 ≤ x ≤ 0.
Therefore, the answer is, "The exponential function decays at half the rate of the quadratic function".
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find the equation of the e potential function represented by the table below:
(i’ll give brainlist !!)
The equation of the exponential potential function represented by the table is,
⇒ y = 4 (3ˣ)
We have to given that;
Table is,
x y
0 4
1 12
2 36
3 108
Let the equation of the exponential potential function represented by the table is,
y = a (bˣ)
Put x = 0, y = 4;
4 = a (b⁰)
a = 4
Put x = 1, y = 12
12 = a (b¹)
12 = 4b
b = 3
Thus, equation of the exponential potential function represented by the table is,
⇒ y = 4 (3ˣ)
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Write an equation of the line
that is parallel to y = -3x + 2
and passes through
the point (2,1).
Answer:
y=2x-5
Step-by-step explanation:
Answer:
y = -3x + 7
Step-by-step explanation:
Parallel lines have equal slopes, so we already know that the slope of the other line is -3.
Now we can plug in (2,1) into point-slope:
[tex]\begin{gathered}\bf{y-1=-3(x-2)}\\\bf{y-1=-3x+6}\\\bf{y=-3x+6+1}\\\bf{y=-3x+7}\end{gathered}[/tex]
Therefore, the equation is y = -3x + 7
Info related to the question
point-slope is [tex]\bf{y-y_1=m(x-x_1)}[/tex]Answer all three questions
The radius and height of the cylindrical portion is 1.93 ft and 7.72 ft.
What is the total volume of figure?The total volume of the figure is the sum of the volume of the two hemisphere and a cylinder is calculated as follows;
V = ²/₃πr³ + πr²h + ²/₃πr³
V = ⁴/₃πr³ + πr²h
when the height of the cylinder is given as 4r, and radius r.
V = ⁴/₃πr³ + πr²(4r)
V = ⁴/₃πr³ + 4πr³
When the total volume of the tank is 120 ft³, the radius and height of the cylinder is calculated as follows;
120 = ⁴/₃πr³ + 4πr³
3(120) = 4πr³ + 12πr³
360 = 16πr³
r³ = 360/16π
r³ = 7.162
r = ∛ (7.162)
r = 1.93 ft
The height of the cylinder is calculated as follows;
h = 4r
h = 4 x 1.93 ft
h = 7.72 ft
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Joe runs a business and needs to decide how many hours to stay open. Figure 2.2 illustrates his marginal benefit of staying open for each
additional hour Suppose that Joe's marginal cost of staying open per hour is $24. How many hours should Joe stay open?
The number of hours that Joe needs to stay open would be = 6 hours when derived from the given graph. That is option A.
How to calculate the number of hours Joe needs to stay open?To determine the number of hours Joe needs to stay open, the marginal cost given should be traced for its interception with the appropriate value for hours on the X axis.
Marginal cost is defined as the expense you pay to produce another service or product unit beyond what you intended to produce.
When plotted against the open hours, the number of hours he should be open would be = 6 hours.
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Select the correct answer. What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?
A. x2 + y2 − 4x + 2y + 1 = 0
B. x2 + y2 + 4x − 2y + 1 = 0
C. x2 + y2 + 4x − 2y + 9 = 0
D. x2 − y2 + 2x + y + 1 = 0
the distance from the center of the circle to a point on the circle is simply its radius, thus
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ r=\sqrt{(~~-4 - (-2)~~)^2 + (~~1 - 1~~)^2} \implies r=\sqrt{(-4 +2)^2 + (1 -1)^2} \\\\\\ r=\sqrt{( -2 )^2 + ( 0 )^2} \implies r=\sqrt{ 4 + 0 } \implies r=\sqrt{ 4 }\implies \stackrel{ radius }{r=2} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{-2}{h}~~,~~\underset{1}{k})}\qquad \stackrel{radius}{\underset{2}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - (-2) ~~ )^2 ~~ + ~~ ( ~~ y-1 ~~ )^2~~ = ~~2^2\implies (x+2)^2 + (y-1)^2 = 4 \\\\\\ (x^2+4x+4) + (y^2 - 2y + 1) = 4\implies \boxed{x^2+4x +y^2 -2y + 1 = 0}[/tex]
f(z) = 2² + 2z + 34
у
4
-2
of
A fg.h
6
44
24
+24
441
-6-
-8
9
2
6
•
-1 0 1 2 3
Hx) -7 -4 -12 5
Order the above functions, from least to greatest, by the rate of change of functions over the interval [0, 21.
Answer:
[tex]2z + 38[/tex]
Step-by-step explanation:
[tex]1. \: 4 + 2z + 34 \\ 2. \: 2z + (4 + 34) \\ 3. \: 2z + 38[/tex]
Consider the following advertisement for BrightLending, a short-term personal loan operator.
Loan amount: $800
Deposit date: Tuesday, May 17, 2022
Repayments: 22 payments of $203.40 bi-weekly
1st Payment due: Friday, May 27, 2022
a) If someone took out the $800 loan shown in the ad, how much would they pay in total for the loan?
b) How long is it taking this person to pay off the loan, in years?
Answer:
a) $4,475.20
b) it would take approximately 0.846 years or approximately 10 months to pay off the loan.
Step-by-step explanation:
if we nevermind the deposit and repayment dates, since they are not relevant for this case, so we have only a loan for $800 to be repaid in 22 weeks, at 203.40 every other week, biweekly namely.
Now, we can also nevermind the biweekly part, 22 payments are 22 regardless if it's done daily or yearly or bimonthly or bidecade, 22 is just 22.
a)
22 payments at 203.4 is just (22)(203.4) = 4474.8.
b)
how long does that take?
well, hell the loaner doesn't give much choices, you pay it every other week 22 times, how many weeks is that? 22*2 = 44 weeks.
Since we know a year has 52 weeks, then 44 weeks is just 44/52 of a year, namely
[tex]\cfrac{44}{52}\implies \cfrac{11}{13} ~~ \approx ~~ \text{\LARGE 0.85}~years[/tex]
find the first derivative with respect to x of the following function: f(x)=(7x+3)(4-3x)
The first derivative of [tex]f(x) = (7x + 3)(4 - 3x)[/tex] with respect to x is [tex]-42x + 19[/tex].
To find the first derivative of the function [tex]f(x) = (7x + 3)(4 - 3x)[/tex], we can apply the product rule of differentiation.
According to the product rule, if we have two functions, u(x) and v(x), the derivative of their product is given by:
[tex](fg)'(x) = f'(x)g(x) + f(x)g'(x)[/tex]
In our case, let's designate u(x) = 7x + 3 and v(x) = 4 - 3x. We can now compute the derivatives of u(x) and v(x):
u'(x) = 7 (the derivative of 7x is 7)
v'(x) = -3 (the derivative of -3x is -3)
Now, we can apply the product rule:
[tex]f'(x) = (7x + 3)(-3) + (7)(4 - 3x)[/tex]
[tex]= -21x - 9 + 28 - 21x[/tex]
[tex]= -42x + 19[/tex]
Therefore, the first derivative of [tex]f(x) = (7x + 3)(4 - 3x)[/tex] with respect to x is [tex]-42x + 19[/tex].
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What theorem shows that △ACE ≅ △BCD?
Two triangles, A C E and B C D, that meet in the center at C. Congruence marks show that E C is congruent to D C, and A C is congruent to B C.
A. Hypotenuse-Leg
B. Angle-Angle-Side
C. Angle-Side-Angle
D. Side-Angle-Side
Christine has the following data:
840 836 836 828 836 840 83 P
853
828
If the range is 25, which number could p be?
Step-by-step explanation:
Given that the range of the data is 25, we need to find the difference between the highest and lowest number in the dataset, excluding P. Let's first look at the known numbers:
828, 836, 836, 836, 840, 840, 853
The highest number currently in the dataset is 853, and the lowest number is 828.
To maintain a range of 25, we know that the highest number (H) minus the lowest number (L) must equal 25:
H - L = 25
We can now consider different scenarios for P:
1. If P is the lowest number (L), then:
H - P = 25
853 - P = 25
P = 853 - 25
P = 828
2. If P is the highest number (H), then:
P - L = 25
P - 828 = 25
P = 828 + 25
P = 853
In this case, the value of P can be either 828 or 853 in order to maintain a range of 25 within the dataset.
Convert the given cartesian equation to a polar equation
A) X^2+y^2=-2y
B)x^2+y^2=64
Answer:
A) r = -2sin(θ)
B) r = 8
Step-by-step explanation:
You want the polar coordinate versions of these Cartesian equations:
x² +y² = -2yx² +y² = 64ConversionThe conversion between Cartesian coordinates and polar coordinates can be accomplished using the relations ...
x = r·cos(θ)y = r·sin(θ)A)Substituting for x and y, we have ...
(r·cos(θ))² +(r·sin(θ))² = -2r·sin(θ)
Dividing by r and using the Pythagorean identity, we have ...
r = -2·sin(θ)
B)Substituting for x and y, we have ...
(r·cos(θ))² +(r·sin(θ))² = 64
Using the Pythagorean identity sin(θ)² +cos(θ)² = 1, this becomes ...
r² = 64
Taking the square root, we have ...
r = 8 . . . . . . the equation of a circle of radius 8.
__
Additional comment
You know the Cartesian equation for a circle is ...
(x -h)² +(y -k)² = r² . . . . . . . circle of radius r centered at (h, k)
The equation of (A) can be rearranged to x² +(y +1)² = 1, by adding 2y and completing the square. This is a circle of radius 1 centered at (0, -1), as shown in the graph.
The Cartesian equation of (B) is clearly a circle centered at the origin with radius 8, as shown in the graph.
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explain the formula of a triangle
Answer:
The formula of the area of a triangle is A = (1/2) x b x h.
A = area
b = base width
h = height of the triangle
The formula for the perimeter of a triangle is p = a + b + c.
p = perimeter
a = side 1
b = side 2
c = side 3
The sum of the interior angles of a triangle will always equal 180 degrees.
how many rectangles are here altogether
There are seven(7) rectangles altogether.
How many rectangles are here altogether?
A rectangle is a form of quadrilateral having opposing sides parallel and four right angles.
Rectangle ABCD
Rectangle ADEF
Rectangle FECB
Rectangle AGFO
Rectangle FOBH
Rectangle OEHC
Rectangle GDOE
In conclusion, there are 7 rectangles in the diagram.
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The expression can be written in the form
Answer:
A = 8B = 19C = -17Step-by-step explanation:
You want the values of A, B, C in A·log(x) +B·log(y) +C·log(z) = log(x^8y^19/z^17).
Rules of logarithmsIt is helpful to remember that ...
log(ab) = log(a) +log(b)
log(a/b) = log(a) -log(b)
log(a^b) = b·log(a)
Application[tex]\log{\left(\dfrac{x^8y^{19}}{z^{17}}\right)}=\log(x^8)+\log(y^{19})-\log(z^{17})\\\\=8\log(x)+19\log(y)-17\log{z}[/tex]
A = 8, B = 19, C = -17
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The vertices of triangle ABC are given: A (0;-1) B(12; -10) C(10;4)
Find:
a) the equation of the median and bisector drawn from vertex A;
b) the equation of the altitude from vertex B;
c) the point of intersection of the median and height;
d) the coordinates of the center of mass (the point of intersection of the medians).
How many two or three-digit numbers can you make using the digits 1, 7, 8, 5, and 2?
Answer:
the are so many numbers but here's one of them
Step-by-step explanation:
Since the number is less than 700, it cannot begin with a 7 or an 8.
So the hundreds digit can only be a 2 or a 5.
Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.
Hence, the number of such numbers is 2x3x2 which is 12.
The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.
What is a sample?A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 5 x 5
⇒ 25
The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 5 x 5 x 3
⇒ 125
The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 125 + 25
⇒ 150
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Ahmed wishes to buy up to 20 notebooks for his shop. he can buy either type A for $1.50 each or type B for $3. each he has a total of $45 he can spend. he must have at least 6 of each type in stock
Answer: I don't understand you question. Could you please rephrase your question?
Answer:
He can buy 12 notebooks Type A and 9 notebooks Type B.
Step-by-step explanation:
Type A = $1.50
Type B = $3.00
Spending money = $45
Note: He must have at least 6 of each item.
Type A
He can buy 12 notebooks
12 x $1.50 = $18
Type B
He can buy 9 notebooks
9 x $3.00 = $27
A total investment of $10,900
is made into two savings accounts. One account yields 7% simple interest and the other 9% simple interest. He earns a total of $921.00
interest for the year. How much was invested in the 7% account?
The amount invested in the 7% account (x) is $3000.
What are word problems in mathematics?Word problems are the problems we encounter in our daily lives or places of work, and we can use mathematical approaches to solve and provide solutions to these problems.
The question given has to do with providing solutions to finance.
From the question, if we have an investment of $10,900 into two savings accounts.
Say, account x and account y;
Then; x + y = 10,900 --- (1)interest of x = 7%interest of y = 9%
From (1)y = 10900 - x0.07x + 0.09y = 9210.07x + 0.09(10900 - x) = 9210.07x + 981 - 0.09x = 921
Solving for x;
x = $3000
From x + y = 10,9003000 + y = 10900y = 10900 - 3000y = $7900
Therefore, we can conclude that the amount invested in the 7% account (x) is $3000.
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People of taste are supposed to prefer fresh-brewed coffee to the instant variety. Or maybe many coffee drinkers just want their caffeine fix. A skeptic claims that only half of all coffee drinkers prefer fresh-brewed coffee. To test this claim, we ask a random sample of 50 coffee drinkers in a small city to take part in a study. Each person tastes two unmarked cups – one containing instant coffee and one containing fresh-brewed coffee – and says which he or she prefers. We find that 36 of the 50 choose the fresh coffee. Do these results give significant evidence that coffee drinkers favor fresh brewed coffee over instant coffee?
Yes, the results of this study provide convincing evidence that coffee drinkers generally prefer fresh-brewed coffee over instant coffee.
And, The sample of 50 coffee drinkers is large enough to provide a representative sample of the population of coffee drinkers in the small city.
Now, By having each participant taste two unmarked cups, one containing instant coffee and the other containing fresh-brewed coffee, the study provides a fair comparison between the two types of coffee.
And, The fact that 36 out of the 50 participants preferred fresh-brewed coffee suggests that a majority of coffee drinkers in this population do indeed prefer fresh-brewed coffee.
However, it is important to note that these results may not necessarily generalize to coffee drinkers in other populations or regions. This is significantly higher than the skeptic's claim that only 50% prefer fresh-brewed coffee, suggesting that there is a clear preference for fresh-brewed coffee among the sampled population.
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find the maximum rate of change of f(x, y, z) = e ^ (3x) * sin(y + 2z) at (3, - 1, 1) and the direction in which this m
Answer:
Max=3693.71
Direction=z
Step-by-step explanation:
The maximum rate of change of f(x, y, z) = e^(3x) * sin(y + 2z) at (3, -1, 1) is given by the magnitude of the gradient vector at that point.
The gradient of f(x, y, z) is given by the partial derivatives with respect to x, y, and z:
∇f(x, y, z) = <3e^(3x) * sin(y + 2z), e^(3x) * cos(y + 2z), 2e^(3x) cos(y + 2z)>
Evaluating this at (3, -1, 1), we get:
∇f(3, -1, 1) = <3e^9 * sin(1), e^9 * cos(1), 2e^9 cos(1)>
The magnitude of this gradient vector is:
|∇f(3, -1, 1)| = sqrt( (3e^9*sin(1))^2 + (e^9*cos(1))^2 + (2e^9*cos(1))^2 )
|∇f(3, -1, 1)| = sqrt( 13e^18*cos^2(1) + 9e^18 * sin^2(1) )
|∇f(3, -1, 1)| = sqrt( 22e^18 - 4e^18 * sin^2(1) )
|∇f(3, -1, 1)| ≈ 3693.71
Therefore, the maximum rate of change of f(x,y,z) at (3,-1,1) is approximately 3693.71.
To find the direction in which this maximum rate of change occurs, we need to look at the direction of the gradient vector:
∇f(3, -1, 1) = <3e^9 * sin(1), e^9 * cos(1), 2e^9 cos(1)>
The direction of the gradient vector is the unit vector in the same direction, which is:
u = <3e^9 * sin(1)/|∇f(3, -1, 1)|, e^9 * cos(1)/|∇f(3, -1, 1)|, 2e^9 cos(1)/|∇f(3, -1, 1)|>
u ≈ <0.000810088, 0.000274316, 0.999999>
Therefore, the maximum rate of change of f(x,y,z) occurs in the direction of the vector u≈<0.000810088, 0.000274316, 0.999999>, which points in the z-direction.
Answer:
Step-by-step explanation:
Which of the following is a way that you would employ arithmetic in a real-world situation?
a. choosing a grocery item based on a price-per-unit comparison
b. comparing your teammates' batting averages to determine the batting order c. calculating the height of a tree in your front yard
d. estimating how long it will take you to get from school to your soccer game
Answer: (A) choosing a grocery item based on a price-per-unit comparison
Step-by-step explanation: I did the test look at the pic for the entire test answers. It shows the points and score so you know it's correct.
The use of arithmetic in a real-world situation the one that specifically involves arithmetic as a calculation is choosing a grocery item based on a price-per-unit comparison. a.
Comparing prices of grocery items, it is often helpful to look at the price per unit (e.g. price per ounce price per pound price per liter) to determine item is the best value.
This requires calculating the cost per unit using arithmetic.
Comparing batting averages involves arithmetic as well but it is primarily a comparison of numbers rather than a calculation.
Calculating the height of a tree involves the use of trigonometry in addition to arithmetic.
Estimating travel time involves basic arithmetic but also factors such as distance traffic and route planning.
Comparing grocery store pricing it might be useful to look at the price per unit (such as the price per ounce, the price per pound or the price per litre) to determine which item is the better deal.
This involves arithmetic computation of the price per unit.
Math is used while comparing batting averages it is more of a comparison of numbers than a calculation.
In addition to arithmetic trigonometry is used to calculate a tree's height.
Basic mathematics as well as variables like route planning traffic and distance must be considered when estimating trip time.
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there are 36 goodies in a basket. 1/4 are apples, 1/6 was bluberry muffins and 7/12 was cookies. How many of each treat were in the basket?
Answer:
9 Apples
6 Muffins
21 Cookies
The latest online craze is a new game, Khan on Seven. You get
100
100100 points for playing the game. In addition, you get
50
5050 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the record, and he needs
18
,
000
18,00018, comma, 000 or more points to do so.
Write an inequality to determine the number of seven-letter words,
w
ww, Sal could make to break the record. Graph the solution set to this inequality.
Sal needs to make at least 358 seven-letter words to break the record.
The total number of points Sal can earn by making w seven-letter words is given by:
100 + 50w
To break the record, Sal needs to earn 18,000 points or more, so we can write the inequality:
100 + 50w ≥ 18,000
Simplifying this inequality, we get:
50w ≥ 17,900
w ≥ 358
So Sal needs to make at least 358 seven-letter words to break the record.
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