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Todd currently has $5,000. what was the value of his money four years ago if he's earned 4 percent interest each year? $4,274.02 $4,113.51 $4,109.64

Respuesta :

Aliwohaish12
A=p(1+r)^t
5000=p(1+0.04)^4
P=5,000÷1.04^(4)
P=4,274.02
JeanaShupp

Answer: $4,274.02

Step-by-step explanation:

Given: The amount Todd has currently (P) = $5,000

The rate of interest (r) = 4%=0.04

Let the amount of money he has four years ago be x.

The formula to calculate compound amount after x years is given by :-

[tex]A=P(1+r)^x\\\\\Rightarrow\$5,000=P(1+0.04)^4\\\\\Rightarrow\$5,000=P(1.04)^4\\\\\Rightarrow\$5,000=P(1.16985856)\\\\\Rightarrow P=\frac{\$5,000}{1.16985856}=\$4274.02095515\approx\$4,274.02[/tex]

Hence, the amount of money he has four years ago = $4,274.02

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