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jeyben [28]
3 years ago
10

$668 at 9.25% for 5 years

Mathematics
1 answer:
madreJ [45]3 years ago
8 0

Answer:

$21.17

Step-by-step explanation:

Simple Interest=P(1+r)^t

Compounded Interest=P(e^rt)

SI=668*(1.0925)^5

SI=1039.64

CI=668(e^(0.0925*5))

CI=1060.81

1060.81-1039.64=21.17

So the difference is $21.17, thus doing compounded interest is better.

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Which expressions are equivalent to the one below? Check all that apply. 21^x/3^x
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Answer:

<em>options:  A,C,E </em>are correct.

Step-by-step explanation:

We have to find the expression equivalent to the expression:

\dfrac{21^x}{3^x}

we know that: 21^x=(3\times7)^x\\\\21^x=3^x\times7^x

Hence,

\dfrac{21^x}{3^x}=\dfrac{3^x\times7^x}{3^x}=7^x-----(1)

A)   (\dfrac{21}{3})^x= 7^x  (same as(1))

Hence, option A is correct.

B)  7 ; which is a different expression from (1)

Option B is incorrect.

C) 7^x   (Same as (1))

Option C is correct.

D) (21-3)^x=18^x   which is a different expression from (1)

Hence, option D is incorrect.

E) \dfrac{7^x\times3^x}{3^x}=7^x   ; which is same as (1)

Hence, Option E is correct.

F) 3^x  ; which is not same as expression (1)

Hence, option F is incorrect.

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Step-by-step explanation:

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