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user100 [1]
3 years ago
6

Choose the correct simplification of the expression 9 over h to the power of negative 3. h to the 3rd power over 9 9 over h to t

he 3rd power 9h3 This expression is already simplified.
Mathematics
2 answers:
trapecia [35]3 years ago
5 0

Answer: C = 9h^3

Mark brainliest!

pashok25 [27]3 years ago
3 0

Answer:

Hence, the simplified expression for the term  \dfrac{9}{h^{-3}} is:

9h^3.

Step-by-step explanation:

We are given a statement as:

expression 9 over h to the power of negative 3.

i.e. \dfrac{9}{h^{-3}}

As the variable term in the denominator is of negative power hence we will try to make the variable term power positive by shifting the term to the numerator.

Hence, This expression could also be written as:

9h^3

Hence, the simplified expression for the term  \dfrac{9}{h^{-3}} is:

9h^3.



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You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate
DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

Step-by-step explanation:

The formula for compound interest, including principal sum is:

A=P(1+\frac{r}{n})^{nt} , where

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount  
  • r is the annual interest rate (decimal)
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

   compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ 3000=2000(1+\frac{0.04}{12})^{12t}

- Divide both sides by 2000

∴ 1.5=(1+\frac{1}{300})^{12t}

∴ 1.5=(1\frac{1}{300})^{12t}

- Change the mixed number to an improper fraction

∴ (1.5)=(\frac{301}{300})^{12t}

- Insert ㏒ for both sides

∴ log(1.5)=log(\frac{301}{300})^{12t}

- Remember log(a)^{n}=nlog(a)

∴ log(1.5)=(12t)log(\frac{301}{300})

- Divide both sides by log(\frac{301}{300})

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

5 0
3 years ago
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