Answer:
1. 14.8
2. 16.4
3. 10.6
4. 17.4
5. 46
Step-by-step explanation:
$225 grows 3.2% in an account. How much money is in the account after the growth? Express your answer to two decimal places.
Answer:
To find out how much money is in the account after the growth, we can use the formula:
FV = PV(1+r)
Where FV is the future value of the account, PV is the present value of the account, and r is the rate of growth expressed as a decimal.
In this case,
PV = $225
r = 3.2% = 0.032 (as a decimal)
By substituting the values in the formula:
FV = PV(1+r)
FV = $225 * (1 + 0.032)
FV = $225 * 1.032
FV ≈ $232.7 (rounded to two decimal places)
Therefore, the account has $232.7 after the growth of 3.2%.
Answer: $232.20
Step-by-step explanation:
3.2%=0.032
225x0.032=7.2
225+7.2=232.2
Can you solve this for me? Thanks! :>
Answer:
It would be C
Step-by-step explanation:
Maria claims that any fraction located between 1/5 and 1/7 on a number line must have a denominator of 6.
Enter a fraction that shows Maria's claim is incorrect.
Step-by-step explanation:
I want to know about exponent and surds
Explanation:
Let's rewrite each given fraction with a common denominator of 5*7 = 35.
1/5 = (1/5)*(7/7) = 7/35
1/7 = (1/7)*(5/5) = 5/35
Then we can see that 6/35 is between 5/35 and 7/35, since 6 is between 5 and 7.
Put another way: 5/35 < 6/35 < 7/35 since 5 < 6 < 7
This then means 1/7 < 6/35 < 1/5
Therefore, Maria's claim is incorrect.
ANY FAKE/TROLL ANSWERS WILL BE REPORTED
On the graph, two right triangles have the line as the hypotenuse. In this task, you will use these triangles to show that the slope between points E and A is the same as the slope between points A and C.
A graph depicts two right triangles DEA and BAC which have the line as the hypotenuse.
Part A
Which angles of the triangles measure 90°
Part B
To show that the other two angle measurements in each triangle are equal, you can use parallel lines cut by a transversal. Which two pairs of line segments formed by triangle sides are parallel, and what is the transversal for each pair?
Part C
Which angle has the same measurement as angle DEA, and how do you know that the measurement is the same?
Part D
Which angle has the same measurement as angle DAE and why (vertical, corresponding, alternate interior, or alternate exterior angles)?
Part E
Are the two triangles congruent? Why or why not?
Part F
Are the two triangles similar? Why or why not?
Part G
Write a fraction setting the vertical length of the larger triangle over its horizontal length. What does this fraction represent?
Part H
Write a fraction setting the vertical length of the smaller triangle over its horizontal length. What does this fraction represent?
Part I
To see if the slopes are the same, write an equation setting the two fractions equal to each other. Is this equation true? Why or why not? What does that mean about the slope between points E and A and the slope between the points A and C?
Space used (includes formatting): 0 / 15000
Answer:
Step-by-step explanation:
We know that the Slope is always given as, where the rise is the vertical height of the slope and run is the horizontal length of the slope.
For Δ ADE,
rise = DE = 4 units,
run = DA = 6 units,
For Δ ABC,
rise = AB = 2 units,
run = BC = 3 units,
,
Thus, the slope of line EA and AC is equal.
We know in a Right Angle Triangle the side opposite to the right angle is the longest side and it is known as hypotenuse.
As already mentioned in the question " two right triangles have the line as the hypotenuse", which means line EA and line AC are already said as the hypotenuse of the triangles. therefore, the angle opposite to them is the right angle in the triangles.
1.)
In ΔABC, the hypotenuse is the line AC, therefore, the right angle is the opposite angle which is ∠ABC.
Similarly, In ΔEDA, the hypotenuse is the line EA, therefore, the right angle is the opposite angle which is ∠EDA.
2.)
Parallel lines are those lines that always maintain the same distance between them and will never meet. whereas, a transversal is a line that crosses two or more parallel lines. As shown in the image below,
Here, there are two pairs of parallel lines cut by a transversal
Pair I: line ED and line AB are a pair of parallel lines, which can be easily seen if both the lines are extended, while AD (or x-axis), line BC(only if extended), and line EC are the transverses between them.
Pair II: line DA and line BC are a pair of parallel lines, which can be easily seen if both the lines are extended, while AB (or y-axis), line ED(only if extended), and line EC are the transverses between them.
I hope this is helpful. Hope you get good grades!
Quadrilateral W X Y Z was dilated with the origin as the center of dilation to create quadrilateral W ′ X ′ Y ′ Z ′ . The quadrilateral was dilated using a scale factor of 2. The lengths of the sides of quadrilateral W X Y Z are given. Enter the lengths of the sides of quadrilateral W ′ X ′ Y ′ Z ′ below. (Decimal values may be used.)
Answer: you are
Step-by-step explanation: a musty aughhh creature
(btw the moderator that keeps deleting my comments g3ts 0ff to drawn leaves and moderators’ also obsessed with me)
It is due in a bit please!
Answer: B
Step-by-step explanation:
It says that Haley and Greg sold popcorn for 3 hours, and in that process, Haley sold 15 and Greg sold 9. Each of these popcorn boxes costs $2.
First, we will have to add the number of popcorn boxes each one had in order to find the total. We get
(15 + 9)
Then, we can see that each box costs $2. Multiply the number of popcorn boxes by 2 and use the distributive property.
(15 + 9)*2
= (15*2 + 9*2)
Next, we will need to divide by the number of hours to get how much Haley and Greg sold per hour.
(15*2 + 9*2)/3
Can you solve this for me? Thank you! :>
Answer:
p=7/2
Step-by-step explanation:
2p=7
/2. /2
p=7/2
now to check
2(7/2)=7
14/2=7
7=7
its true
hopes this helps
HELLLPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Mary works for a company that ships packages and must measure the size of each box that needs to be shipped. Mary measures a box and finds the length is
inches, the width is 14 inches, and the height is 15 inches. What is the volume of the box? [Type your answer as a number.]
Answer:
13
Step-by-step explanation:
14-15=1
but if you average it out that is the volume
Choose the numeral that matches the words: nine and nine hundredths BTW: need it it decimal
Answer:
9.09
Step-by-step explanation:
I think
One afternoon, Dillon and 3 friends visit the zoo. They split the cost of parking the car evenly. Then each person buys a ticket to enter the zoo. By the end of the afternoon, each person has also purchased 2 bottles of water.
• Let p represent the parking cost.
• Let t represent the ticket cost.
• Let w represent the cost of a bottle of water.
Use the dropdowns to complete the statements.
(A) One way to express the total cost is to find the cost per person for a ticket and water. Then multiply this expression by
Choose...
and add
the parking cost
.
(B) The expression for total cost described in part A is
Choose...
+
p
.
(C) Another way to express the total cost is to add the cost of
Choose...
tickets plus the cost of
Choose...
bottles of water plus
the parking cost
.
(D) The expression for total cost described in part C is
Choose...
.
Answer: You didn't write the whole question, but I will write an equation.
p/4 + 4t + 6w
Step-by-step explanation:
So for the parking ticket, its the cost divided by 4 because Dillon and 3 friends are 4. They each bought a ticket so 4t, and 3*2 is 6 so the water bottle is 6w.
Answer:
Step-by-step explanation:
Joseph has a bag filled with 2 red, 4 green, 15 yellow, and 9 purple marbles. Determine P(not purple) when choosing one marble from the bag.
70%
50%
30%
20%
Answer:
Step-by-step explanation:
i took a test with this qeston is 20
When Alex bought his new car
in 2006, it was worth $28,350.
In 2015, it was worth a third
of its original value. Find the
rate of change in the value of
the car from 2006 to 2015.
A) -$1,275/yr
B) -$1,500/yr
C) -$1,650/yr
D) -$1,800/yr
E) -$2,100/yr
Answer:
A) -$1,275/yr
Step-by-step explanation:
The value of the car in 2015 was a third of its original value in 2006, which means that the value of the car decreased by 2/3.
To find the rate of change, we can use the formula:
rate of change = (final value - initial value) / (time elapsed)
In this case, the initial value is $28,350, the final value is a third of that value, which is $28,350 * (2/3) = $18,900. The time elapsed is 2015 - 2006 = 9 years.
So the rate of change is:
rate of change = ($18,900 - $28,350) / 9 = -$9,450 / 9 = -$1,050/yr
Therefore, the rate of change in the value of the car from 2006 to 2015 is -$1,050/yr.
The correct option is A) -$1,275/yr
The rate of change in the value of the car from 2006 to 2015 is -$1,800/yr, the correct option is D
What is the average rate of change?The average Rate of Change of the function f(x) can be calculated as;
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]
f(x) represents the function x
Given;
Its worth in 2006= $28,350
In 2015 it was worth a third of its original value
Now,
Car value in 2015= 1/3 x 28,350
=9450
Number of years from 2006 to 2015
=8
Rate of change in value per year= 9450/8
=1181
Therefore, the rate of change will be -$1,800/yr
Learn more about average rate;
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Sandy used a virtual coin toss app to show the results of flipping a coin 80 times, 800 times, and 3,000 times. Explain what most likely happened in Sandy's experiment.
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 80 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 800 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 3,000 flips.
Answer:
In Sandy's experiment of flipping a coin, it is most likely that Sandy's experimental probability was closest to the theoretical probability in the experiment with 3,000 flips.
The Law of Large Numbers states that as the number of trials or experiments increases, the experimental results should approach the theoretical probability more closely. In this case, since the number of flips increases from 80 to 800 to 3,000, the experiment with 3,000 flips provides a larger sample size and is more likely to converge towards the theoretical probability.
Therefore, the experiment with 3,000 flips would provide a better approximation of the theoretical probability compared to the experiments with 80 or 800 flips.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
8
Step-by-step explanation:
Brandon is on a diet. The graph
above shows his weight from the
start of the diet. Find the rate
of change from the sixth week
to the eighth week.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{194})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{178}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{178}-\stackrel{y1}{194}}}{\underset{\textit{\large run}} {\underset{x_2}{8}-\underset{x_1}{6}}} \implies \cfrac{ \stackrel{Lbs}{-16 }}{ \underset{Weeks}{2} } \implies \cfrac{\stackrel{Lbs}{-8}}{\underset{Weeks}{1}}\implies {\Large \begin{array}{llll} -8~\frac{Lbs}{Week} \end{array}}[/tex]
Need answer asap, will give brainly if its right
Answer: 36 inches (in.)
Step-by-step explanation:
The first thing you need to do is form a right triangle from the starting point to the hole to the corner where the ball is at. Right triangles have a hypotenuse (the longest side), and two legs (the shorter sides).
We are told next to the drawing that it’s 39 feet from the staring point to the hole (given a straight line). This is the length of our hypotenuse. We are also given the length of one of the legs, with it being 36 feet.
We need to find the length of the last leg, the length from the ball to the hole. To do this, we can use the Pythagorean Theorem. The Pythagorean Theorem states that the square of each of the legs equals the square of the hypotenuse. The formula for the Pythagorean Theorem is [tex]a^{2} +b^{2} =c^{2}[/tex], with [tex]a[/tex] and [tex]b[/tex] being the legs, and [tex]c[/tex] representing the hypotenuse.
Input the given values into the formula and you get the following:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]36^{2} + x^{2} =39^{2}[/tex]
[tex]\sqrt{36^{2} } +\sqrt{x^2} =\sqrt{39^2}[/tex]
[tex]36 +x =39[/tex]
[tex]x=3[/tex]
Therefore, the length from the ball to the hole is 3 feet (ft.).
BUT WAIT
The question asks us to provide our answer in inches (in.), and 1 foot equals 12 inches.
Therefore, the distance from the ball to the hole is 36 inches (in.).
The table shows the numbers of bags of different flavors of potato
chips on a store shelf. A customer will randomly select one bag of
potato chips from the shelf.
Potato Chips
Flavor:
Plain = 12
Jalapeño = 18
Ranch = 8
Cheese = 20
Which statement about the flavor of the potato chips chosen is best
supported by the information in the table?
F) The flavor is least likely to be plain.
G) The flavor is twice as likely to be jalapeño as ranch.
H) The flavor is equally likely to be plain, jalapeño, ranch, or cheese.
J) The flavor is more than twice as likely to be cheese as it is to be ranch.
Answer:
Step-by-step explanation:
we can start with process of elimanation.
f) wrong. this is because 12 is the second smallest number out of the four with ranch being the smallest with 8.
g) wrong. this is because 8x2=16, which means its not twice as likely it would end up. being more than twice as likely.
h) wrong. all of these numbers are different, so are smaller and bigger than others, so the rate of probability is going to be different for each chip type.
j) right. this is because if we do 8x2=16, that is still smaller than 20 so it is MORE than 2x as likely since 20 is a greater number than 16.
CORRECT ANSWER: J.
hope this helped!!
The statement which best supported is J) The flavor is more than twice as likely to be cheese as it is to be ranch.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Total number of chips = 12 + 18 + 8 + 20 = 58
Probability of finding Plain chips = 12/58 = 0.2069
Probability of finding Jalapeno chips = 18/58 = 0.3103
Probability of finding Ranch chips = 8/58 = 0.1379
Probability of finding Cheese chips = 20/58 = 0.3448
The flavor is least likely to be Ranch, not plain.
Twice the probability of Ranch = 0.2759
Hence the correct option is The flavor is more than twice as likely to be cheese as it is to be ranch.
Learn more about probability here :
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You buy 20 cupcakes for $15 and are going to sell them for $2 each. You want to write an expression that represents how much money you will make each day that you sell cupcakes. Which of these quantities should be represented with a variable?
45 points
Answer:pls someone put an answer
Step-by-step explanation:
May someone please help me? It is due in a few please help me out!
Answer:
16 (G)
Step-by-step explanation:
Numerical ExpressionsThey are made up of numbers to form up a line of expression, and they follow the BODMAS rule.
SolutionGiven from the question:
[tex]4+6\ * (10-2^{3} )\\=4 + 6\ * (10-8)\\= 4 + 6 * 2\\= 4 + 12\\= 16[/tex]
Therefore the value of the expression is 16 (G)
Answer:
20Step-by-step explanation:
6 + 4 = 10
2³ = 2 × 2× 2
2 × 2 × 2 = 8
10 - 8 = 2
10 × 2 = 20
Hope it Helps!! :)
2. The formula for the surface area of a cube is 6s. Find the
surface area of a cube with a side length of 3 inches.
A. 36 sq. in.
B. 54 sq. in.
C.
81 sq. in.
D. 324 sq. in.
What is the measure of angle X?
A. 54°
B. 86°
C. 95°
D. 125°
Image includes question. Include the process and correct answer.
Answer:
I don't know
Step-by-step explanation:
I don't know
A kangaroo hops to a height of 1 m 8 cm and moves a distance of 2 m 50 cm in one hop. What is the difference between the height and the distance it covers ?
Answer: 1m42cm
Step-by-step explanation:
Distance - height = 2m50cm - 1m08cm = 1m42cm
The expression 2x + 4x represents the cost of buying the same number of cases of spring water, sold for $2 per case, and sparkling water, sold for $4 per case. What expression can be used to express the total cost?
Answer: 2x + 4x = (2 + 4)x = 6x
Step-by-step explanation:
The expression 2x + 4x represents the cost of buying the same number of cases of spring water and sparkling water. To express the total cost, we need to add the cost of buying the two types of water.
Since the expression 2x represents the cost of buying x cases of spring water, and 4x represents the cost of buying x cases of sparkling water, the total cost can be expressed as:
2x + 4x = (2 + 4)x = 6x
Therefore, the total cost of buying x cases of spring water and sparkling water can be expressed as 6x.
Alternatively, you can think of it as buying x cases of spring water at a cost of 2x dollars and x cases of sparkling water at a cost of 4x dollars. So the total cost is (2x+4x) dollars which is 6x dollars.
- C
Julia had a bag filled with gumballs. There were 1 lemon-lime, 2 watermelon, and 3 grape gumballs. What is the correct sample space for the gumballs in her bag?
Sample space = 1, 2, 3
Sample space = 1, 2, 3, 4, 5, 6
Sample space = lemon-lime, watermelon, grape
Sample space = lemon-lime, watermelon, watermelon, grape, grape, grape
Answer: D: Sample space = lemon-lime, watermelon, watermelon, grape, grape, grape
Step-by-step explanation:
What is the measure of angle F?
A. 60°
B. 65°
C. 110°
D. 125°
c 110
Step-by-step explanation:
crista
Answer:
C) 110°
Step-by-step explanation:
The answer is 110° because trapezium SDVL and FJRK are both equal.
Letter resemblence: (basically what letter in SDVL equals a letter in FJRK)
S = F
D = J
V = R
L = K
Anyone able to help me with this problem?
Answer:
since the 2 trapezium's are congruent SD should be equal to KO which is 2
so the answer is a)2 units
Hope it helps :)
Answer:
a. 2 units.
Step-by-step explanation:
The answer is two units because the trapezium ABSD is equal to PLOK, meaing that SD and KO should also be equal. Meaning that SD equals 2 units.
or
A pizza restaurant used its final 2/3 of a liter of pizza sauce to make some pizzas. They put 1/6 of a liter of sauce on each pizza. How many pizzas did they make?
Write your answer as a fraction or as a whole or mixed number.
Answer:
4
Step-by-step explanation:
1/6x = 2/3 Multiply each sides by 6
x = [tex]\frac{2}{3}[/tex] x [tex]\frac{6}{1}[/tex]
x = 4
Answer:
Step-by-step explanation:
if they used 1 liter of sauce on each pizza, it would be 1x=2/3.
So if we use this for 1/6 of a liter of sauce on each pizza…
(x is the number of pizza’s they make.)
= [tex]\frac{1}{6}[/tex]х=[tex]\frac{2}{3}[/tex]
x6 on both sides
= 1x=9
Therefore, the pizza restruant made 9 pizzas.
I need help on this it's due tomorrow please help.
Answer:
$8/hour
Step-by-step explanation:
You are given 3 points.
You need to use two of them to find the slope.
The slope is the rate of change.
Let's use points (1, 28) and (2, 36).
slope = (difference in y)/(difference in x)
slope = (y_2 - y_1)/(x_2 - x_1)
slope = (36 - 28)/(2 - 1)
slope = 8/1
slope = 8
Answer: The rate of change is $8/hour.
When given a set of cards laying face down that spell F, R, A, C, T, I, O, N, determine the probability of randomly drawing a vowel.
three sevenths
five sevenths
three eighths
five eighths
Answer: 3/8
Step-by-step explanation:
there are 8 letters in fraction and 3 of those are vowels
Answer:
Step-by-step explanation:3/8
