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Evgen [1.6K]
3 years ago
7

Use the product to simplify the expression. write your answer in exponential notation.

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
5 0

(- 3)^{9}

using the law of exponents

a^{m}× a^{n} = a^{(m + n)}

(-3)^{7} × (-3)^{2} = (-3)^{7}


Zarrin [17]3 years ago
3 0
The answer to this question is 9^5
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Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account ba
Alik [6]

Answer:

We conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

Time period t = 8 years

To determine

Accrue Amount A = ?

Using the compound interest equation

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

  • Given that the interest is compounded 6 times each year, therefore, the value of n = 6.

now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}

\:A=2500\left(1+\frac{0.05}{6}\right)^{48}

A=2500\times 1.48935      ∵  \left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935

A=\:3723.38 $

Therefore, we conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

8 0
3 years ago
What is <br> 4/5n - 14 = 62 ?
balu736 [363]

Answer:n=95

Step-by-step explanation:

6 0
3 years ago
Whichwhich would you measure using inches? A. length of a pen B. height of a flagpole C. length of a cross-country race course D
Taya2010 [7]

Answer:

The length of a pen.

Step-by-step explanation:

A length of a pen is around three inches and is reasonable but all of the others are way too big and can be measured in feet or miles.

3 0
3 years ago
Mike and Julie surveyed students to determine how many had a grade of A in math. They recorded their findings for each survey in
grin007 [14]

20/4 = 5

40/8 = 5

60/12 = 5

80/16 = 5


Answer is 5

6 0
3 years ago
Read 2 more answers
Matt is saving to buy a new motorcycle. If he deposits $70 at the end of each month in an account that pays an annual interest r
gladu [14]
P = $70,  p = 2.5% = 0.025
q = 1 + 0.025 / 12 = 1.002
Future value of a periodic deposit:
A = P · q · ( q^30 - 1 ) / ( q - 1 )
A = 70 · 1.002 · ( 1.002^30 - 1 ) / ( 1.002 - 1 )
A = $2,166
Answer:
He will have $2.166 in 30 months.
6 0
4 years ago
Read 2 more answers
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