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Georgia [21]
2 years ago
10

Anne has 24 more cards than Devi.  Anne finds that 3/5 of Devi's cards are equal to 1/2 of her cards.  How many cards does Anne

have?
Mathematics
1 answer:
Sophie [7]2 years ago
8 0
A=24xD
3/5xD=1/2xA
3d/5=12
d=12x5/3
d=20
a=480
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Jack and Susie want to save to buy a trampoline for their children. They each open a savings account that earns 1.5% a
olasank [31]

Answer:

1,800(1.015)^{x}

Step-by-step explanation:

we have

f(x)=1,000(1.015)^{x}

g(x)=800(1.015)^{x}

we know that

To find the function that represent the total amount Jack and Suzie will save in x years, adds f(x) and g(x)

so

f(x)+g(x)=1,000(1.015)^{x}+800(1.015)^{x}

f(x)+g(x)=[1,000+800](1.015)^{x}

f(x)+g(x)=1,800(1.015)^{x}

8 0
2 years ago
Read 2 more answers
Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows: S(p) = 400 - 4
BlackZzzverrR [31]
S(p) = 400 - 4p + 0.00002p^4
D(p) = 2800 - 0.0012p^3

S(p) = D(p)
400 - 4p + 0.00002p^4 = 2800 - 0.0012p^3
0.00002p^4 + 0.0012p^3 - 4p - 2400 = 0
p = $96.24
6 0
2 years ago
This star is made up of 4 equilateral triangles of equal area and a square.
pentagon [3]

Answer:

24 cm

Step-by-step explanation:

Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.

Area of the shaded region (square) = 9\,\, cm^2

To find: the perimeter of the star

Solution:

Area of the shaded region (square) = 9\,\, cm^2

Area of square = (side)^2

(side)^2=9\\side=3\,\,cm

As each equilateral triangle has side lengths that are the same as the side length of the square,

length of side of the star = 3 cm

Perimeter is the sum of lengths of the sides.

Perimeter of star = sum of 8 sides of the star

= 8 × 3 = 24 cm

4 0
2 years ago
A print shop purchases a new printer for $25,000. The equipment depreciates at a rate of 5% each year. The relationship between
Pani-rosa [81]

Answer:

The value of the printer on the first year was $ 23,750.00. On the second year it was $ 22,562.5. On the third year it was $ 21,434.38.

Step-by-step explanation:

Since the printer depreciates at a rate of 5% per year, I believe the stated equation is miss typed. Therefore I'll answer this with the correct equation that would represent that setting:

y(x) = 25,000*0.95^x

In the first year the value of the printer is:

y(1) = 25,000*0.95^1 = 23,750

On the second year the value of the printer is:

y(2) = 25,000*0.95^2 = 22,562.5\\

On the third year the value of the printer is:

y(3) = 25,000*0.95^3 = 21,434.38\\

The value of the printer on the first year was $ 23,750.00. On the second year it was $ 22,562.5. On the third year it was $ 21,434.38.

5 0
2 years ago
Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the ta
Evgen [1.6K]

Answer:

1) He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.

2) He did not multiply the numerator and denominator by the correct number to equal 1,500.

5) He should have multiplied the numerator and denominator by 75, not 30,  because 20 x 75 = 1,500.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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