Mathematics Middle School

A stock investment went up 25% in 2006. Starting at this increased value, what percent would it have to go down in 2007 to be back to its original price at the beginning of 2006?

PS The answer is not 25%

Answers

Answer 1
Is it -25%. I’m guessing. I’m not sure if that is correct.
Answer 2

It is 20%. Is that helpful at all?

Related Questions

The length of a rectangle is 6 cm longer than the width. If the length is increased by 9 cm and the width by 5 cm, the perimeter will be 160 cm. Find the dimensions of the ORIGINAL rectangle.

Answers

We're going to make the equation in terms of w, since the length is 6 cm longer. We are going to have the equation equal 160 cm, since that is the perimeter.
2(w+5) + 2(w+ 6 + 9) = 160
We can add in the parenthesis.
2(w+5) + 2(w+15)
Distribute.
2w+10+2w+30=160
Add like terms.
4w+ 40 = 160
4w=120
w=30
The width is 30 cm and the length is 36 cm.
Let's check by making the rectangle again.
2(45) + 2(35)=160
90+ 70 = 160

what is the probability of spinning a 2 and flipping tails

Answers

if you mean getting a 2 on a dice then the answer would be
4/6 or 2/3

it cost $35 for one adult and two children to attend a show. It cost $60 for two adults and three children to attend the same show. How much does it cost one adult to attend the show?

Answers

assume that,
adult = x
child = y

x+2y = 35 (1st equation)
2x+3y = 60 (2nd equation)
x = 35-2y (3rd equation)

Substitute 3 into 2 :

2(35-2y) + 3y =60
70-4y +3y = 60
y = 10

x+2y = 35
x+2(10) =35
x +20 =35
x = 15

One adult = $15


The drama club members buy 864 bags of popcorn to serve during the intermission of their play. Popcorn comes in cases of 24 bags, and they pay $18 for each case. How much did they pay for all of the popcorn

Answers

The answer is $648
Hope this helps

Final answer:

The drama club purchased 36 cases of popcorn at $18 per case, resulting in a total cost of $648 for all the popcorn.

Explanation:

The question involves calculating the total amount spent on popcorn by the drama club, which requires some basic arithmetic and understanding of multiplication and division. To find the total cost, we first need to determine how many cases of popcorn the club bought and then multiply that number by the cost per case.

Step-by-Step Calculation

Determine the number of cases: Divide the total number of bags of popcorn (864) by the number of bags per case (24).

Calculate the total cost: Multiply the number of cases by the cost per case ($18).

Now, let's perform these steps:

Number of cases = 864 bags ÷ 24 bags/case = 36 cases

Total cost = 36 cases × $18/case = $648

Therefore, the drama club paid $648 for all the popcorn.

A computer was on sale for 2/3 of the original price. If the original price was $900 what was the sale price? show work please.

Answers

Divide $900 by 2/3 .
The computer now costs : $600.

So first you divide 900 by 3, which gives you 300,right? 300 is only one third of the 900, so you need to get to two thirds, which is why you would add another 300, which brings you to $600.

what is the value 1/2 ×3+5.2y when x=2 and y=3

Answers

The answer is 18.6, because when multiplying all the variables with the coefficients the equation is 1/2*6+15.6, 6 turns into 3 because it is halved and the rest of the equation stays the same so the new equation now is 3+15.6 and you simply add them and it is 18.6.
18.6 because one half times 2 Is just 1. 1 times 3 is 3. 5.2 times 3 equals 15.6. Then add 15.6 and 3 which gives you 18.6

Help me please

This is the choices for the first one

A)-x^2

B)2x^2

C)(x/2)^2

D)x^2

Second

A)10+x

B)10-x

C)10x

D)7-x

Third

A)3x-10

B)(3x-)/2

C)(3x-10)/2

D)3x/2

Answers

Left-most section:
.. You can tell from the point (3, 9) that the only viable choice is selection D.

Center section:
.. When you extend the graph to the y-axis, you see the y-intercept is 10. The slope is negative, so selection B is appropriate.

Right section:
.. The line goes up 3 grid points for each 2 to the right, so the slope is 3/2. In point-slope form the equation of that line can be written as
.. y = (3/2)(x -6) +4 = (3/2)x -9 +4 = (3/2)x -5 = (3x -10)/2 . . . . . selection C

Choose the equation that models the graph below

Answers

C the Y intercept is 0 4 the slope is 1 / 4

Carissa leaves a 20% tip at her favorite restaurant. Her bill is $32.18. What tip should she leave?

Answers

Final answer:

Carissa should leave a tip amounting to $6.43 at her favorite restaurant. This is calculated by converting the 20% tip rate to a decimal and multiplying that by the bill total of $32.18.

Explanation:

To calculate the tip that Carissa would leave based on a 20% rate, you would use the formula for percentage calculations which is (Percentage / 100) × Total. In this case, the percentage is 20 and the total is $32.18, her restaurant bill.

Step-by-step calculation:

Convert the percentage to a decimal by dividing by 100: 20/100 = 0.2.Multiply the result by the total bill: 0.2 × $32.18 = $6.43.

So, Carissa should leave a $6.43 tip at her favorite restaurant.

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What binomial must be subtracted from 7t-5) so that the difference of the 2 polynomials is (5r+8)?

Answers

1) Given binomials:

First binomial 7r - 5
Second binomial 5r + 8

2) To pass from 7r to 5r you have to subtract 2r, so the first term of the binomial to be subtracted is 2r

3) To pass form - 5 to + 8, you have fo subtract  - 13

4) So the answer is 2r - 13, option b.


You plan on financing a home theater system for $1,752. The audio shop offers a 15% APR for a 25 month loan. Use this information, and the table above, to determine the monthly payments. Round your answer to the nearest cent.
a.
$29.89
c.
$82.04
b.
$70.08
d.
$85.32

Answers

Final answer:

To calculate the monthly payments for a $1,752 home theater system at 15% APR over 25 months, convert APR to a monthly rate and apply the loan payment formula, yielding an estimated payment not precisely matching the provided options. This suggests a potential discrepancy in calculation or provided options.

Explanation:

To determine the monthly payments for financing a home theater system at a 15% APR for a 25-month loan costing $1,752, we use the formula for calculating the monthly payment on an amortizing loan. First, convert the annual interest rate to a monthly rate by dividing by 12. In this case, 15% annually becomes 1.25% per month. Then, apply the formula: Monthly Payment = P * (r(1+r)^n) / ((1+r)^n - 1), where P=principal amount ($1,752), r=monthly interest rate (0.0125), and n=number of payments (25).

Plugging into the formula gives us: Monthly Payment = 1,752 * (0.0125(1+0.0125)^25) / ((1+0.0125)^25 - 1), which calculates to approximately $76.55.

However, since the provided options do not include this exact figure, it's essential to note that either there's been a miscalculation or a misunderstanding in the method or given options. The closest provided option is $70.08.

Rectangle ABCD has vertices A(8, 5) , B(8, 10) , C(14, 10) , and D(14, 5) . A dilation with a scale factor of 1.2 and centered at the origin is applied to the rectangle. Which vertex in the dilated image has coordinates of (9.6, 6) ?

A′

B′

C′

D′

Answers

The vertex A' corresponds to the coordinates (9.6, 6).

To find the vertex in the dilated image with coordinates (9.6, 6), we can apply the formula for dilation.

In a dilation centered at the origin with a scale factor of 1.2, the coordinates of a point (x, y) are transformed to (1.2x, 1.2y).

Let's calculate the coordinates of the vertices after dilation:

Vertex A' = (1.2 * x-coordinate of A, 1.2 * y-coordinate of A)

= (1.2 * 8, 1.2 * 5)

= (9.6, 6)

Vertex B' = (1.2 * x-coordinate of B, 1.2 * y-coordinate of B)

= (1.2 * 8, 1.2 * 10)

= (9.6, 12)

Vertex C' = (1.2 * x-coordinate of C, 1.2 * y-coordinate of C)

= (1.2 * 14, 1.2 * 10)

= (16.8, 12)

Vertex D' = (1.2 * x-coordinate of D, 1.2 * y-coordinate of D)

= (1.2 * 14, 1.2 * 5)

= (16.8, 6)

Comparing the coordinates of the dilated vertices to the given coordinates (9.6, 6), we can conclude that the vertex with coordinates (9.6, 6) is Vertex A' of the dilated image.

The vertex A' corresponds to the coordinates (9.6, 6).

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For the end-of-year party, Mt.Rise Middle School ordered 112 pizzas. There were eight fewer veggie pizzas than there were pepperoni pizzas. There were three times as many combo pizzas as pepperoni pizzas. Use the 5-D process to define a variable and write an equation for this situation. Then determine how many of each kind of pizza were ordered.

Answers

Let the number of pepperoni pizzas be x
pepperoni = x
veggie = x - 8    [There were eight fewer veggie than pepperoni]
combo = 3x       [There were three times as many combo as pepperoni]

Given that the total Pizza: 112
x + x - 8 + 3x = 112
5x - 8 = 112
5x = 112 + 8
5x = 120
x = 24

x= 24
x - 8 = 16
3x = 72

So there were 24 pepperoni pizza, 16 veggie pizza and 72 combo pizza

Rose bought some spinach. She used 3/5 of the spinach on a pan of spinach pie for a party and 3/4 of the remaining spinach for a pan for her family. She used the rest of the spinach to make a salad.
What fraction of the spinach did she use ti make the salad?

b. If Rose used 3 pounds of spinach to make the pan of spinach pie for the party , how many pounds of spinach did Rose use to make salad?

Answers

Quantity of spinach that Rose bought: x

Quantity used on the pan of spinach pie for the party: (3/5)x

Remaining spinach: x-(3/5)x=(1-3/5)x=(5/5-3/5)x=[(5-3)/5]x=(2/5)x

Quantity used on a pan for her family: (3/4)(2/5)x=[(3*2)/(4*5)]=(6/20)x
Quantity used on a pan for her family:(3/10)x

Quantity use to make the salad: x-(3/5)x-(3/10)x=(1-3/5-3/10)x
Quantity use to make the salad: [(10*1-2*3-1*3)/10]x=[(10-6-3)/10]x
Quantity use to make the salad: (1/10)x

a. What fraction of the spinach did she use to make the salad?
She used 1/10 of the spinach to make the salad.

b. If Rose used 3 pounds of spinach to make the pan of spinach pie for the party , how many pounds of spinach did Rose use to make salad?

Quantity used on the pan of spinach pie for the party: (3/5)x= 3 pounds
Quantity used to make the salad: (1/10)x=?

We need to find x. Solving for x in the quantity used on the pan of spinach pie for the party:
(3/5)x=3 pounds
(5/3)(3/5)x=(5/3)(3 pounds)
x=15/3 pounds
x= 5 pounds

Quantity of spinach that Rose bought: x= 5 pounds

Now we can find the quantity used to make the salad:
(1/10)x=(1/10)(5 pounds)=(5/10) pounds=(1/2) pound = 0.5 pound

Answer: Quantity used to make the salad is 1/2=0.5 pound

Stacey worked 12 hours and Amy worked 6 hours. They made the same amount of money per hour. If they made a total of $90 how much did they make per hour

Answers

[tex]Stacey { \to 12hours} [/tex]

[tex]Amy { \to 6hours} [/tex]

[tex]12 x 5 = 30 6 x 5 = 30 60 + 30 = 90 [/tex]

They made $5 an hour.

Javier bought 47 sports cards. 3/8 of them were baseball cards. How many baseball were baseball cards?

Answers

The number of cards is 3/8 of 48.
In math, "of" usually means "times."

3/8 of 48 = 3/8 * 48 = 3/8 * 48/1 = (3 * 48)/(8 * 1) = 144/8 = 18

Answer: 18 cards

X is 85% of 13, 60% of 4.5 is Y

Answers

x=85/100 * 13
x=11.05

y=60/100 * 4.5
y=2.7

7) David bought a computer that was 20% off the regular price of $1080. If an 8% sales tax was added to the cost of the computer, what was the total price David paid?
8) Suzanne bought a sweater at the sale price of $25. The original cost of the sweater was $40. What percent represents the discount that Suzanne received when buying the sweater?
9) Leo bought a used car for x dollars. One year later the value of the car was 0.88 x. Which expression is another way to describe the change in the value of the car?

Answers

Hello there! I can help you!

7. Okay. So the computer was originally $1,080, and the discount is 20%, but David would still have to pay 80% of the original price. To find the sale price, let's multiply. 1,080 * 80% (0.8) is 864. The sale price of the compuet is $864, but now we must add the sales tax to find the total price. We will multiply by 108%, because 100% (representing the price + 8% is 108%, and doing this will get us stright to the total price. 864 * 108% (1.08) is 933.12. There. David paid a total price of $933.12 for the computer.

8. Okay. So we are looking for the amount of discount for the sweater Suzanne bought. First off, let's subtract the prices to find the difference. 40 - 25 is 15. Now, let's divide that by 40 (the original price) to find the discount. 15/40 is 0.375. Or 37.5% when converted into a percentage. There. Suzanne received a 37.5% discount on the sweater when she bought it.

9. So the car was bought for x dollars. 0.88 represents 88%, so the value of the car is 88% of the previous year. An expression that is a way to describe the change in car value is x * (100 - 0.12)^t, because you car loses 12% of the remaining value each year, which leaves 88% of it remaining, and having the t as the exponent represents the number of years. That expression helps find the value of the car currently and can help you compare the values.

Just by looking at y = −x 2 + 1, how do you know that it does not represent a line?
A) x is squared.
B) There is no constant term.
C) There is an increase of 1.
D) The coefficient is − 1.

Answers

the answer is A but im not 100% sure 

Answer:

x is squared. is correct.

y = mx + b represents a line. The x term is to the first power. In y = −x2 + 1, the x is squared.

What is the volume of this pyramid?



7560 cm³
5040 cm³
2520 cm³
1728 cm³

Answers

volume of triangular pyramid = 1/3 x area of base x height

1/3 x (1/2 x 18 x 24) x 35
=2520cm3

the answer is C

Answer:

C) 2520 cm^3

Step-by-step explanation:

The given pyramid is a triangle base pyramid.

Volume of a pyramid = 1/3(base area* height)

Here the base is a right triangle with base 24 cm and height 18.

The height of the pyramid is 35 cm.

Plug in the given values in the formula, we get

V = 1/3 (1/2*24*18)*35

= 1/3(216)(35)

= 72*35

V= 2520 cm^3

The volume of the given pyramid is C) 2520 cm^3

Hope this will helpful.

Thank you.

What is the surface area in square feet of a rectangular prism with dimensions of 2 feet by 3 feet by 4 feet as shown in the net?

Answers

Answer: 52 square feet

Step-by-step explanation:

The surface area of a rectangular prism is given by :-

[tex]S.A.=2(lw+wh+hl)[/tex], where l is length , w is width and h is height of then prism.

Given: Dimensions of the rectangular prism :   [tex]l\times w\times h=[/tex] 2 feet by 3 feet by 4 feet

Then , the surface area of a rectangular prism will be:-

[tex]S.A.=2(2(3)+(3)(4)+(2)(4))\\\\\Rightarrow\ S.A.=52\text{ inches}^2[/tex]

Hence, the surface area  of a rectangular prism= 52 square feet

Simon's water cooler can hold up to 4.2 gallons of water in it. Simons fills the cooler so that there is water in all but 25% of the cooler. How much more water would Simon need to add to fill the entire 100% of the cooler?
A 1.05 gallons
B 3.95 gallons
C 3.15 gallons
D 1.7 gallons

Answers

Based on the information given we know that 75% of the cooler is filled, because 25% is left. We only need to know what 25% of 4.2 is though, because the question is asking how much more he would need. 
25% of 4.2 is equal to .25*4.2 which equals 1.05. 
So in this scenario, the correct answer would be A.

In Mr.Martinez's sixth period class, there are 8 boys and 12 girls. what is the probability of randomly selecting a girl?

Answers

the probability of choosing a girl is 12/20
Girls=12
Boys=8
Total students=8+12=20

Probability of girls=number of girls/total number of students=12/20=6/10=60%


Answer=60%

ellie brought 60 cookies to class today. 30% of them have mint filing. how many cookies have the mint filling

Answers

60 cookies X 0.30 = 18 mint filling

Compare the dimensions of the prisims. How many time greather is the surface area of the red prism than the surface area of the blue prism

Answers

Answer:

The dimensions of the red prism are  1.5

times the dimensions of the blue prism.

The surface area of the red prism is  2.25

times the surface area of the blue prism.

Step-by-step explanation:

Final answer:

To compare the surface areas of the red and blue prisms, divide the surface area of the red prism by the surface area of the blue prism. In this case, the surface area of the red prism is 2 times greater than the surface area of the blue prism.

Explanation:

To compare the surface areas of the red and blue prisms, we need to find the surface area of each prism. The surface area of a prism is found by adding the areas of all of its faces.

Let's say the surface area of the red prism is 100 square units and the surface area of the blue prism is 50 square units. To find out how many times greater the surface area of the red prism is than the blue prism, we can divide the surface area of the red prism by the surface area of the blue prism: 100/50 = 2.

Therefore, the surface area of the red prism is 2 times greater than the surface area of the blue prism.

Help me please I can’t do this

Answers

9. 5 qt
10. 6 cups
11. 35 pt
12. 30 cups
13. 18 qt

Which pair shows equivalent expressions?
A.2(2/5x + 2)=2 2/5x + 1
B.2(2/5x + 2)=4/5x + 4
C.2(2/5x + 4)=4/5x + 2
D.2(2/5x + 4)=2 2/5x + 8

Answers

Which pair shows equivalent expressions?

A.2(2/5x + 2)=2 2/5x + 1

B.2(2/5x + 2)=4/5x + 4

C.2(2/5x + 4)=4/5x + 2

D.2(2/5x + 4)=2 2/5x + 8

Solution:

[tex] 2(\frac{2}{5}x + 2) [/tex]

Let us distribute 2 inside the parenthesis.

That is, we use distributive property:

a(b+c)=ab+ac

[tex] 2(\frac{2}{5}x + 2) =\frac{2*2}{5}x+2*2 [/tex]

So, [tex] 2(\frac{2}{5}x + 2) =\frac{4}{5}x+4 [/tex]

Answer:Option (b)

[tex] 2(\frac{2}{5}x+4) [/tex]

Applying distributive property, a(b+c)=ab+ac

[tex] 2(\frac{2}{5}x+4) =2*\frac{2}{5} x+2*4 [/tex]

[tex] 2(\frac{2}{5}x+4) =\frac{2*2}{5} x+2*4 [/tex]

[tex] 2(\frac{2}{5}x+4) =\frac{4}{5} x+8 [/tex]

So, Option (B) is correct.

Answer:

B.

Step-by-step explanation:

Fred pays 2/5 of his annual salary in federal, state, and local taxes. His annual salary is 102,000. How much of his salary does he get to keep after taxes are paid? 1) $61,000 2) $72,300 3) $61,200 4) $94,900

Answers

I think it might be 3) $61,200.

find the solutions to the system; y=x^2-3x-1 and y=8x-1

a) (0,-1) and (11,388)

b) (0,-1) and (11,87)

c) (-1,0) and (87,11)

d) no solution


I know the first step is to make them equal to each other, x^2-3x-1=8x-1

Answers

x^2-3x-1=8x-1
x^2-3x-8x+1-1=0
x^2-11x=0
x(x-11)=0

x=0 or x=11

when x=0, y=-1
          x=11, y=8*11-1, y=87
⇒ b is the answer

1/2m-4=5
What is the variable 'M' equal to.

Answers

Hey there! :D

1/2m-4=5

Add 4 on both sides. 

1/2m=9

Divide both sides by 1/2. 

m=18

I hope this helps!
~kaikers
so the given equation is [tex] \frac{1}{2} [/tex]m - 4 = 5

We should add 4 on either side as our first step, in order to find the value of the variable

[tex] \frac{1}{2} [/tex]m - 4 ( + 4 ) = 5 ( + 4 )
- 4 and + 4 cancels out in the left hand side

We are left with
[tex] \frac{1}{2} [/tex]m = 9

To find the value of m, we should divide each side by [tex] \frac{1}{2} [/tex]
(diving by a fraction can also be done by multiplying the reciprocal)
[tex] \frac{1}{2} [/tex]m = 9 ÷ [tex] \frac{1}{2} [/tex]
[tex] \frac{1}{2} and \frac{1}{2} [/tex]  cancels out

m = 18

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