Answer:
33 nickels, 17 quarters
Step-by-step explanation:
q=quarters, n=nickels
Since total number of coins = 50 and he only has quarters and nickels,
q + n = 50.
Since a quarter is 0.25 dollars, a nickel is 0.05 dollars, and his total is $5.90,
0.25q + 0.05n = 5.90
Multiply the entire second equation by -4 to get -q and eliminate q from both equations: -4(0.25q + 0.05n = 5.90)
So, q + n = 50
And -q -0.2n = -23.6
Cancel q's and add down to combine both equations, so 0.8n = 26.4
Solve for n by dividing 0.8 by both sides, so n = 33
Plug n back into the first equation: q + 33 = 50 and q is thus 17.
Hope this helps!
I need help ASAP it’s compound interest and I’m not very good at it
Answer:
Part B:
5) She will have $4445.244256 in 3 years
Part C:
1) She will have $8081.130039 in 10 years
2) He will have $13360.55059 in 8 years
Step-by-step explanation:
The formula of the compound interest is A = P [tex](1+\frac{r}{n})^{nt}[/tex], where
A is the new valueP is the initial amountr is the rate in decimaln is the number of the periodt is the time in yearsPart B:
5)
∵ P = $4250
∵ r = 1.5% = 1.5 ÷ 100 = 0.015
∵ n = 4 ⇒ Compounded quartly
∵ t = 3 years
→ Substitute them in the formula above
∴ A = 4250 [tex](1+\frac{0.015}{4})^{4(3)}[/tex]
∴ A = 4250 [tex](1.00375)^{12}[/tex]
∴ A = 4445.244256
∴ She will have $4445.244256 in 3 years
Part C:
1)
∵ Grace deposits $6000
∴ P = 6000
∵ The account is compounded semi-annually at 3%
∴ r = 3% = 3 ÷ 100 = 0.03
∴ n = 2 ⇒ compounded semi-annually
∵ The time is 10 years
∴ t = 10
→ Substitute them in the formula above
∴ A = 6000 [tex](1+\frac{0.03}{2})^{2(10)}[/tex]
∴ A = 6000 [tex](1.015)^{20}[/tex]
∴ A = 8081.130039
∴ She will have $8081.130039 in 10 years
2)
∵ Danial opens an account that is compounded semi-annually at 5%
∴ r = 5% = 5 ÷ 100 = 0.05
∴ n = 2 ⇒ compounded semi-annually
∵ He deposits $9000
∴ P = 9000
∵ The time is 8 years
∴ t = 8
→ Substitute them in the formula above
∴ A = 9000 [tex](1+\frac{0.05}{2})^{2(8)}[/tex]
∴ A = 9000 [tex](1.025)^{16}[/tex]
∴ A = 13360.55059
∴ He will have $13360.55059 in 8 years
What is the difference of the fractions represented in the model?
Find the slope of the line that passes through the two points given.
(-3, 1) and (-1,5)
Answer:
2/-3
Step-by-step explanation:
A store sells candles. Each candle costs the same amount. During a sale, the store reduces the price of each candle by $1.70. Owen spends $11.96 on 4 candles at the sale price. what was the price of 1 candle before the sale?
Answer:
The regular sales price was $4.69
Answer:
4.69
Step-by-step explanation:
I had the maps test
40 points i will crown. A, B, C, or D.
Answer:
C. x > -3
Explanation:
The circle with no filling means it can not be equal
It goes ahead of -3 so it is greater than -3
Amelia fills a bucket with 3.5 gallons of water. A gallon of water is approximately 8.34 pounds. What is the weigh, in pounds, of the bucket?
Answer:hehdjjdjfhrjrg
Step-by-step explanation:jejejdjfhbwbqkdjjcifirocicufjr
A suppliers sold a machine levying 13% vat on rupees 320000 to a retailer. the retailer spent rupees 10000 for transportation and rupees 5000 for the local tax if the retailer sold it at a profit of rupees 15000 to a customer how much did the customer pay for the machine with 13% vat?
Answer:
395,500
Step-by-step explanation:
The computation is shown below:
Supplier to retailer = 320,000
Vat tax = 13%
Retailer spent for transportation = 10,000
local tax = 5,000
Profit = 15,000
Now based on the above information
the customer would pay the amount with 13% vat is
= (320,000 + 10,000 + 5,000 + 15,000) + 13% of total
= 350,000 + 13% of 350,000
= 350,000 + 45,500
= 395,500
The graph shows the level of ibuprofen, y units, in a patient’s bloodstream x hours after the ibuprofen was taken. Select the correct answer to complete the blanks in the sentence: "The level of ibuprofen in the patient's bloodstream increased from _____ hours to _____ hours."
The graph is missing, so i have attached it.
Answer:
From 0 hours to 2 hours.
Step-by-step explanation:
From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.
Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.
After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.
Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.
The lowest common denominator of 1/2 ,1/4 , and 1/4 is:
Answer:
LCD = 24
Step-by-step explanation:
Equivalent Fractions with the LCD
1 1/2 = 36/24
3/8 = 9/24
5/6 = 20/24
3 = 72/24
Hope this Helped! :}
HELP PLEASE!!!!!
Bernite is selling candy bars for a school fundraiser. The school paid $20.00 for a box of 15 king-size candy bars and Bernite sells them for $2.00 each. What is the relationship between the amount of candy sold and the amount of money earned?
The relationship is linear. More than 1 answer
a.) The relationship is non-linear.
b.) The relationship is proportional.
c.) The relationship is non-proportional.
d.) The relationship always results in a positive profit.
e.) The relationship always results in a negative profit.
Answer:
b
Step-by-step explanation:
1. If x=3-√3,
prove that x²
+36
x²
= x²
Answer:
we get [tex]x^2=12-6\sqrt{3}[/tex]
Step-by-step explanation:
We are given: [tex]x=3-\sqrt{3}[/tex]
We need to find [tex]x^2[/tex]
Note: Since question is not clear, I am assuming that we need to find [tex]x^2[/tex]
Solving:
[tex]x=3-\sqrt{3} \\Taking \ square \ on \ both \ sides\\x^2=(3-\sqrt{3})^2\\[/tex]
We know that [tex](a-b)^2= a^2-2ab+b^2[/tex]
Using formula and simplifying
[tex]x^2=(3)^2-2(3)(\sqrt{3})+(\sqrt{3})^2\\x^2=9-6\sqrt{3} +3\\x^2=12-6\sqrt{3} \\[/tex]
So, we get [tex]x^2=12-6\sqrt{3}[/tex]
Given that the population proportion is 0.82, the Normal distribution will provide a good approximation to the true sampling distribution of the sample proportion as long as:________.
A) n> 13.
B) n> 30.
C) n> 56.
D) n > 100.
Answer:
Then solution as long as n ≥ 56
Step-by-step explanation:
The Normal distribution will provide a good approximation to evaluate proportion tests when the following conditions are met:
n*p₀ > 10
n*q₀ > 10
As p₀ = 0,82 q₀ = 0,18 n = 13 30 56 and 100
We test:
A) n = 13 n*q₀ = 13*0,18 = 2,34 2,34 < 10
B) n = 30 n*q₀ = 30*0,18 = 5,4 5,4 < 10
C) n = 56 n*q₀ = 56 * 0,18 = 10,08
n*p₀ = 56 * 0,82 = 45,92
D) n = 100 n*q₀ = 18
n*p₀ = 82
If we test 55 we find that 55*0,18 = 9,9
Then solution as long as n ≥ 56
can you help me please
Answer:
The answers are:
2u = <10,2>-3u = <-18,-6>u+v = <11,3>3u-4v = <-9,-5>Step-by-step explanation:
Given vectors are:
u = <5,1>
v = <6,2>
The vectors are given in the form of ordered pairs, the operations can be applied on the coordinates of ordered pairs
Now,
[tex]2u = 2(5,1) = (10,2)[/tex]
[tex]-3v = -3(6,2) = (-18,-6)[/tex]
Now we have to add two vectors
In order to add two vectors, their respective coordinates are added:
So,
[tex]u+v = (5,1) + (6,2)\\= (5+6, 1+2)\\=(11,3)[/tex]
And
[tex]3u-4v = 3(5,1) - 4(6,2)\\= (15,3) - (24,8)\\= (15-24, 3-8)\\=(-9, -5)[/tex]
Hence,
The answers are:
2u = <10,2>-3u = <-18,-6>u+v = <11,3>3u-4v = <-9,-5>The campus bookstore knows from the past several semesters that a certain elementary statistics book has a demand that is approximated by a normal distribution with a mean of 250 and a standard deviation of 40. They buy these books for $105 each and sell them to unsuspecting undergraduates at $222 each. All demand for this book is realized by the middle of the semester, at which point the bookstore bundles them up and sells them to a vendor in another country for $40 each. What is the probability of sale for the last book that the bookstore should purchase for sale to a student
Answer:
0.357
Step-by-step explanation:
The computation of the probability of sale for the last book that the bookstore should purchase for sale to a student is shown below
Probability is
= 1 - ((Cs ) ÷ (Cs + co))
= 1 - (($225 - $105) ÷ ($117 + ($105 - $40)))
= 1 - 0.6428
= 0.357
Here Cs represent the notional loss in the case when the demand is underestimated
And Co represent the notional loss in the case when the demand is overestimated
answer this correctly pls and u get brainliest and 50 points
Answer:
32 degrees
Step-by-step explanation:
One straight line equals 180 degrees
if one angle from one side is 148, then 180-148=32
7) Let the random variable X represent the amount of money Dan makes doing lawn care in a randomly selected week in the summerAssume that is Normal with mean $ 240 and standard deviation $60. the probability that in a randomly selected week, Dan will make less than $255 is :
A. 0.6
B. 0.7
C. 0.8
D.0.9
E. 1
Answer:
Option A. 0.6 is the right answer.
Step-by-step explanation:
Given information is:
Mean = $240
SD = $60
The probability of Dan making less than $255 has to be found.
Let x = 255
First of all, we will find the z-score of the given value
[tex]z = \frac{x-mean}{SD}\\z = \frac{255-240}{60}\\z = \frac{15}{60}\\z = 0.25[/tex]
Now the z-score table will be used to see the probability of less than 0.25
Using the z-score table, we get:
P(x<0.25) = 0.5987
As the answer choices are rounded off to one decimal place, we will round off our answer to one digit after the decimal point
0.5987 => 0.6
Hence,
Option A. 0.6 is the right answer.
Triangle ABC is graphed below with vertices at A (-4,5), B (-6, -4) and C (4,-4). Use the following rule to produce
triangle A'B'C' using ABC as the original image.
F(x,y) — (x+2, -y)
Show Your Work
Someone help me to solve this problem asap! Please
Step-by-step explanation:
A(-4, 5) => A'(-4+2, -5) = A'(-2, -5)
B(-6, -4) => B'(-6+2, -(-4)) = B'(-4, 4)
C(4, -4) => C'(4+2, -(-4)) = C'(6, 4)
Hence the new coordinates are A'(-2, -5), B'(-4, 4) and C'(6, 4).
Order the following expressions by their values from least to greatest.
PLEASE ANSWER NOW FOR TESTT!!!
Answer:
l , k , j
Step-by-step explanation:
j is near to 1 so, j has greatest value
k has second great value
l has negative value
So,
l has least value also negative value.
A rectangle I has a perimeter of 28 units, an area of 48 square units, and sides that are either horizontal or vertical. If one vertex is the point (-5,-7) and the origin is in the interior of the rectangle, fi the vertex of the rectangle is opposite of (-5,-7).
Answer:
B, C, E
Step-by-step explanation:
On edge 2021
could you help me find whqt equivalent to 16x^2/y
Answer:
(2xy)⁴/x²y⁵
(4x)²/y
(4x)²y¯¹
Step-by-step explanation:
From the question given above, we obtained:
16x²/y
Thus, we can obtain the equivalent of the above expression as follow:
For Option 1:
(2x)⁴/x²y¯¹ = 2⁴x⁴/x²y¯¹
(2x)⁴/x²y¯¹ = 16x⁴/x²y¯¹
Recall:
1/A¯¹ = A
Therefore,
16x⁴/x²y¯¹ = 16x⁴y/x²
Recall:
Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ
Therefore,
16x⁴y/x² = 16x⁴¯²y = 16x²y
(2x)⁴/x²y¯¹ = 16x²y
Thus, (2x)⁴/x²y¯¹ is not equivalent to 16x²/y
For Option 2:
(2xy)⁴/x²y⁵ = 2⁴x⁴y⁴/x²y⁵
(2xy)⁴/x²y⁵ = 16x⁴y⁴/x²y⁵
Recall:
Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ
16x⁴¯² y⁴¯⁵ = 16x²y¯¹
Recall:
A¯¹ = 1/A
16x²y¯¹ = 16x²/y
(2xy)⁴/x²y⁵ = 16x²/y
Thus, (2xy)⁴/x²y⁵ is equivalent to 16x²/y
For Option 3:
(4x)²/y = 4²x²/y
(4x)²/y = 16x²/y
Thus, (4x)²/y is equivalent to 16x²/y
For Option 4:
(4x)²y¯¹ = 4²x²y¯¹
(4x)²y¯¹ = 16x²y¯¹
Recall:
A¯¹ = 1/A
16x²y¯¹ = 16x²/y
(4x)²y¯¹ = 16x²/y
Thus, (4x)²y¯¹ is equivalent to 16x²/y
For Option 5:
(4x/y)²
Recall:
(A/B)ⁿ = Aⁿ / Bⁿ
(4x/y)² = (4x)²/y²
(4x/y)² = 4²x²/y²
(4x/y)² = 16x²/y²
Thus, (4x/y)² is not equivalent to 16x²/y
SUMMARY:
(2x)⁴/x²y¯¹ is not equivalent to 16x²/y
(2xy)⁴/x²y⁵ is equivalent to 16x²/y
(4x)²/y is equivalent to 16x²/y
(4x)²y¯¹ is equivalent to 16x²/y
(4x/y)² is not equivalent to 16x²/y
Solve: 2x + 3x? - 11x-6=0
Answer:
To solve the following equation we must first combine like terms Recognize the easiest way to manipulate the equation Lastly rearrange to isolate for x: usually done with division2x+3x-11x-6=0
Combine like x variables
-6x-6=0
Add 6 to the right side
-6x = 6
Divide by -6
x=-1
Rate positively and give brainlist
Answer:
x = - 1
Step-by-step explanation:
2x + 3x - 11x - 6 = 0
-6x = 6
x = - 1
divide partial quotient 308 divide by 4
Answer:
77 is the answer your welcome
The given expression represents the area. Find the side length of the square.
9514 1404 393
Answer:
(4x +5)
Step-by-step explanation:
The square of a binomial is ...
(a +b)² = a² +2ab +b²
We assume that the given trinomial is a perfect square, so we can find the terms of the squared binomial by looking at the square roots of the first and last terms:
√(16x²) = 4x
√25 = 5
So, our first choice of side length for the square is ...
s = (4x +5) . . . . . side length of the square
__
Using the above identity, we can verify that the square of this gives the right area:
A = s² = (4x +5)² = (4x)² +2(4x)(5) +5²
A = 16x² +40x +25 . . . . . . as required
A parabola has x-intercepts at (3,0) and (9,0) and a maximum at 4. Write the equation of the
parabola in vertex form.
Then, convert the equation of the parabola to standard form.
Answer:
H!
Step-by-step explanation:
Question 1) In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row. A) Write an iterative rule to model the sequence formed by the number of seats in each row. Show your work. (B) Use the rule to determine which row has 100 seats. Show your work. ( No Plagiarism and only answer if you know how to work this problem out. Will Mark Brainliest).
It's forming an A. P. because each succeeding Te rm increases by a common value i. e. 6 here.
The A. P is
22,28,34,.....
So the n th term will be represented as
a+(n-1)d,
where a=22
And d=6
Now in (b) part the n th term is given i. e. 100
So by putting in the given values we could easily found the value of n
n=(100-22)/6=78/6=13
So the 13th term will be 100
Hope You Got It.
Select the equation in point-slope form for the line that passes through the point (1, –1) and has a slope of 4.
Is the answer
A. y + 1 = 4x – 1
B. y – 1 = 4x + 1
C. y – 1 = 4(x + 1)
D. y + 1 = 4(x – 1)
Answer:
I would say the best answer choice is B.
Please Help
3x^2-5x+2=0
Answer: C
Step-by-step explanation:
Let v be a vector with initial point (–5, –11) and terminal point (6, 2). What is Norm of vector v?
StartRoot 24 EndRoot
StartRoot 290 EndRoot
24
290
Answer:
B. [tex]\sqrt{290}[/tex]
Step-by-step explanation:
On Edge, just finished the test.
The correct answer is option B which is the norm of the vector v is √290.
What is a vector?The quantity that needs both the direction and the magnitude for their representation is called a vector.
The norm of vector v will be calculated as:-
Let v be a vector with an initial point (–5, –11) and terminal point (6, 2).
Norm = [tex]\sqrt{(6-(-5))^2+( 2-(-11))^2[/tex]
Norm = [tex]\sqrt{121 + 169\\[/tex]
Norm = [tex]\sqrt { 290[/tex]
Therefore the correct answer is option B which is the norm of the vector v is √290.
To know more about vectors follow
https://brainly.com/question/25705666
#SPJ2
Correlation and regression are concerned with (a) the relationship between two categorical variables. (b) the relationship between two quantitative variables. (c) the relationship between a quantitative explanatory variable and a categorical response variable. (d) the relationship between a categorical explanatory variable and a quantitative response variable.
Answer:
(b) the relationship between two quantitative variables
Step-by-step explanation:
Correlation and regression techniques can be explained as a statistical techniques which measures the degree and type of relationship that exists between two variables (dependent and independent). These evaluated variables must be quantitative in nature in other to apply thus statistical method of establishing relationship and making predictive analysis. The relationship may be univariate or multivariate in nature. The correlation and regression technique won't work on data presented or represented in categorical or labeled format. The relationship may be positive or negative with the correlation Coefficient measuring the strength of the relationship between the variables.
Viruses are in which domain of life?
A) Archaea
B) Bacteria
C) Eukarya
D) none of the above
Answer:
thanks for free points
