I really need help on this
Answer:
A) sarah = $ 937.33 ; claire = $928.00
Step-by-step explanation:
compund interest formula :
A = P ( 1 + r/100) ^ n
A is the amount invested
P is the principle
r is the rate of interest
n is the number of years
A = 800 * ( 1 + 2 /100) ^8
=937.33
Sarah has $ 937.33
simple interest formula :
= PRT / 100
P is the principle
R is the rate
T is the number of years
= 800*2*8 /100
=128
128 + 800 = 928
claire has $ 928
The correct option of your given question is A
Step-by-step explanation:
Given,
For Sarah
Principle(P) = $800
Rate of interest(r) = 2%
Time(T) = 8 years
To find,
The compound interest
The simple interest
Formula
Compound interest = P{[tex](1+\frac{r}{100)} ^{T}[/tex])}
= $ 937.33 ( by putting the values of P, r, T we get)
For Claire
Principle(P) = $800
Rate of interest(I) = 2%
Time(T) = 8 years
Simple interest = [tex]\frac{P X I X T}{100}[/tex]
= [tex]\frac{800 X 2 X 8}{100}[/tex]
= $ 128
Total amount after 8 years for Claire = $ (800 + 128 )
= $ 928
Hence, Sarah = $ 937.33
Claire = $928