Respuesta :

Answer:

A)  sarah = $ 937.33  ; claire = $928.00

Step-by-step explanation:

Sarah - Compound interest

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

Claire - Simple interest

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

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