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Sagot :
Answer: He invests $470 and the balance is $517 at the end of 2 years
Answer:
$470
$517
Step-by-step explanation:
Simple interest formula: A = P(1 + rt)
where A is the final amount, P is the principal amount, r is the annual rate interest (in decimal form), t is time (in years)
Zachary invests $400 into an account that earns 3.5% simple interest for 5 years. So the account balance at the end of 5 years will be:
P = 400
r = 3.5% = 3.5/100 = 0.035
t = 5
⇒ A = 400(1 + 0.035 x 5) = 400 (1.175) = 470
So Zachary has $470 in his account after 5 years.
Now he is investing $470 into an account for 2 years earning 5% interest. So the new account balance at the end of 2 years will be:
P = 470
r = 5% = 5/100 = 0.05
t = 2
⇒ A = 470(1 + 0.05 x 2) = 470(1.1) = 517
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