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kolezko [41]
3 years ago
12

Rick and Sara have two children, Marcos and Jade. Use the clues to determine their ages. Rick is 4 years younger than Sara. Marc

os is 3 years older than Jade. Rick's age is twice the age of Marcos and Jade's ages combined. The youngest is 9 years old. How old is each??
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0

Step-by-step explanation:

Let age of rick = x

age of sara = y

age of marcos = a

age of jade = b

Rick is 4 years younger than Sara.

x = y - 4

Marcos is 3 years older than Jade.

a = b + 3

Rick's age is twice the age of Marcos and Jade's ages combined.

x = 2(a+b)

The youngest is 9 years old.

The youngest is jade because rick and sara are the parents and marcos is older than she is.

b = 9

How old is each??

a = b + 3

a = 9 + 3 = 12

Marcos is 12 years old

x = 2(a+b)

x = 2 (12 + 9)

x = 2 (21) = 42

Rick is 42 years old

x = y - 4

42 = y - 4

y = 42 + 4 = 46

Sara is 46 years old

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Alright, so you have the basic formula- good.
You have the A value (400), the interest rate r (7.5% -> .075 in decimal), and the final P value (8500). So, we only need to solve for t.

8500 = (400)(1+.075)^t
/400      /400
21.25 = 1.075^t
logarithms are the inverse of exponents, basically, if you have an example like
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if you put logbase10(1000), you'll get 3.
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log21.25(base 1.075) = t
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