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fgiga [73]
3 years ago
10

Melissa put her $500 In a savings account that earns 4% interest compounded annually. How much will be in the account after 3 ye

ars? Round your answer to the nearest hundredth
Mathematics
2 answers:
kramer3 years ago
7 0

Answer: $562.43

Step-by-step explanation:

The initial start up amount is 500  and we want to expressed this as an exponential function. So since we know the initial value we need to find the rate of change. So if you earn 4% interest you are earning 4% percent more on top the actual 100%.

So 100%  + 4 % = 104% = 1.04  

The common difference is 1.04.

so  500 * 1.04^n= A where n is the number of years and A is the total amount.

A = 500 * 1.04^{3}  

A= 562.43

Serhud [2]3 years ago
4 0
<h3>Answer: $562.43</h3>

Work Shown:

A = P*(1+r/n)^(nt)

A = 500*(1+0.04/1)^(1*3)

A = 562.432

A = 562.43

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3 years ago
James is at a gift sale where everything costs $4 (tax included).
pantera1 [17]

Answer:

5 gifts

Step-by-step explanation:

Given information:

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  • Money left after purchasing gifts = at least $28

Let x = greatest number of gifts James can buy

Create an inequality with the given information:

⇒ 50 - 4x ≥ 28

<u>Solve the inequality</u>

Add 4x to both sides:

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⇒ 50 ≥ 28 + 4x

Subtract 28 from both sides:

⇒ 50 - 28 ≥ 28 + 4x - 28

⇒ 22 ≥ 4x

Divide both sides by 4

⇒ 22 ÷ 4 ≥ 4x ÷ 4

⇒ 5.5 ≥ x

⇒ x ≤ 5.5

We must <u>round down</u> to 5 as if James buys 6 gifts, he will only have $26 remaining.  Therefore, the greatest number of gifts James can buy is <u>5 gifts</u>.

3 0
2 years ago
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