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3 years ago

Evaluate the expression 2b ^3+5 when b=3

Mathematics

1 answer:

pochemuha3 years ago

3 0

Answer:

Step-by-step explanation:

b^3 is 27

2(27) is 54

54+5 is 59

if u mean (2b)^3 then 2b is 6

6^3 is 216

plus 5 is 221

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3 years ago

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Romashka-Z-Leto [24]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Greg deposited $4000 into an account with 4.6% interest, compounded semiannually. Assuming that no withdrawals are made, how muc

Zinaida [17]

The amount in account after 7 years is $ 5499.445

Solution:

The formula for total amount in compound interest is given as:

$A = p(1+\frac{r}{n})^{nt}$

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Here given that,

A = ?

P = 4000

t = 7 years

$r = 4.6 \% = \frac{4.6}{100} = 0.046$

n = 2 ( since compounded semi annually)

Substituting the values in formula, we get

$A = 4000(1+\frac{0.046}{2})^{2 \times 7}\\\\Simplify\ the\ above\ expression\\\\A = 4000(1+0.023)^{14}\\\\A = 4000(1.023)^{14}\\\\A = 4000 \times 1.37486\\\\A = 5499.445$

Thus amount in account after 7 years is $ 5499.445

4 0

4 years ago