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Ugo [173]
1 year ago
8

Simplify the following expression (m3)÷m18

Mathematics
1 answer:
faust18 [17]1 year ago
5 0

Answer:

\boxed{ \bold{ \frac{1}{ {a}^{15} } }}

Step-by-step explanation:

({m}^{3} ) \:  \div  \:  {m}^{18}

  • We remove unnecessary parentheses.

{m}^{3}  \:  \div  \:  {m}^{18}

  • We calculate the quotient (it is negative).

{m}^{ - 15}

  • We transform the term into positive with this expression:

\boxed{ \boxed{{a}^{ - n}  \:  =  \:  \frac{1}{ {a}^{n} } }}

______________________

<h3>We apply the expression: </h3>

\boxed{ \bold{ \frac{1}{ {a}^{15} } }}

<h3><em><u>MissSpanish</u></em></h3>
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$800 is deposited in an account
Sergeeva-Olga [200]

Answer:

The balance after four years is $1129.27

Step-by-step explanation:

The formula for compound interest, including principal sum, is 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

∵ $800 is deposited in an account

∴ P = 800

∵ The account pays 9% annual interest

∴ r = 9% = 9 ÷ 100 = 0.09

∵ The interest is compounded annually

∴ n = 1

∵ The time is 4 years

∴ t = 4

- Substitute the values of P, r, n, and t in the formula above

∵ A=800(1+\frac{0.09}{1})^{(1)(4)}

∴ A=800(1.09)^{4}

∴ A = 1129.265

∴ The balance after four years is $1129.27

8 0
3 years ago
Which expression is equivalent to 1/27 ( 1 over 27 ) ?
harkovskaia [24]

Answer:

Option D

Step-by-step explanation:

Option A:

(3)¹ × (3)⁻¹⁰   =  (3)⁽¹⁻¹⁰⁾   = 3⁹

= 4\frac{1}{3^9}

= 4\frac{1}{19683}

Option B :

(3)⁻¹ × (3) ¹⁰   = 3⁽¹⁰⁻¹⁾

= 3⁹

= 19683

Option C :

(3⁻⁴) × (3)⁷   = 3⁽⁷⁻⁴⁾

               = 3³

Option D :

3⁴ × 3⁻⁷ = 3⁴⁻⁷

= 3⁻³

=  4\frac{1}{3^3}

= 4\frac{1}{27}

Therefore, option D is the answer.

3 0
3 years ago
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Norma-Jean [14]
Summer will pay $17.94 for 2.6 lbs of granola

6 0
2 years ago
PLEASE HELP ME<br> MATH IS HARD
nata0808 [166]

Answer:

C

Step-by-step explanation:

You have to add the whole equation not only a part of it.

3 0
3 years ago
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Mei puts 600.00 in an account to use for school expenses . The account earns 10% interest , compound quarterly. How much interes
ExtremeBDS [4]
She would have $960.

Hope this helped:D

8 0
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