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MA_775_DIABLO [31]
3 years ago
9

Which expressions are equivalent to 1/81 ? check all that apply. picture provided

Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0

{8}^{ - 1}  =  \frac{1}{8}

8-¹ ❌

{9}^{ - 2}  =  \frac{1}{ {9}^{2} }  =  \frac{1}{81}

9-² ✔️

\frac{ {9}^{8} }{ {9}^{4} }  =  {9}^{8 - 4}  =  {9}^{8}

9^8/9^4 ❌

\frac{9 {}^{8} }{ {9}^{10} }  =  {9}^{8 - 10}  =  {9}^{ - 2}  =  \frac{1}{9 {}^{2} }  =  \frac{1}{81}

9^8/9^10 ✔️

{9}^{ - 6}  \times  {9}^{3}  =  {9}^{ - 6 + 3}  =  {9}^{ - 3}  =  \frac{1}{9 {}^{3} }  =  \frac{1}{729}

9^-6 . 9³ ❌

{9}^{5} . \:  { 9}^{ - 7}  =  {9}^{5 - 7}  = 9 {}^{ - 2}  =  \frac{1}{ {9}^{2} }  =  \frac{1}{81}

9^5 . 9^-7 ✔️

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A car was originally purchased in January 2010 for 27000 dollars. The car depreciates at a rate of 18% every year.
Maksim231197 [3]

Answer:

Number of year(n) = 3.4 year (Approx)

Step-by-step explanation:

Given:

Purchase value of car = $27,000

Depreciation rate per year (d) = 18% = 0.18

Future price = half of its original value = $27,000 / 2 = $13,500

Find:

Number of year(n) = ?

Computation:

Future price  =Purchase value(1-d)^n\\\\13,500=27,000(1-0.18)^n\\\\0.5=(0.82)^n\\\\n=3.444(Approx)

Number of year(n) = 3.4 year (Approx)

5 0
4 years ago
A baker made 9 cupcakes, each a different type. Four people want to share them equally. How many cupcakes will each person get?
Leno4ka [110]

Answer: 2 1/4

Step-by-step explanation:

From the question, we are informed that a baker made 9 cupcakes which are to be shared equally by four people.

To get the number of cupcakes that each person gets, we divide the total number of cupcakes by the total number of people. This would be:

= 9 ÷ 4

= 2 1/4 cupcakes

Therefore, each person gets 2 1/4 cupcakes.

3 0
3 years ago
If the mean of the numbers 8, 9, 10, 11, and x is 12, then what is the value of x?
masha68 [24]

Answer:

C=22

Step-by-step explanation:

8+9+10+11+x divided by 5 gives 12

38+x divide by five gives 12

12×5=60

38+x=60

x=22

brainlist please

5 0
3 years ago
Flynn has $4 worth of quarters.
ANTONII [103]

Answer:

16 quarters

Step-by-step explanation:

4 x 4 = 16

$1 = 4 quarter

Flynn has 16 quarters.

5 0
2 years ago
Read 2 more answers
You invest an initial $500 in an account that has an annual interest rate of 2%, compounded quarterly. How much money will you h
Alborosie

Answer: $564

Step-by-step explanation:

You invested $500.

The annual rate is 2% and it is compounded quarterly.

You need the account balance after 6 years.

Convert the terms to their correct periodic figures.

Interest = 2%/4 = 0.5% per quarter

Period = 6 * 4 = 24 quarters

Formula for compound interest:

= Investment * ( 1 + rate) ^ time

= 500 * ( 1 + 0.5%)²⁴

= 563.579

= $564

7 0
3 years ago
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