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Flura [38]
3 years ago
10

What is the solution of −81=b6 ? A. b = −486 B. b = −75 C. b = 13.5 D. b = 486

Mathematics
1 answer:
BartSMP [9]3 years ago
7 0
We have to isolate b to be alone. 
Soooo first we divide both sides by 6

-81 = b6
÷6  = ÷6  The right side cancels out and gets the b alone. While we solve the right side of the equal sign. 
-81 ÷ 6 = -13.5 
So this means we isolated b alone!
b = -13.5 

Our final answer is..
b = -13.5 

:)

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What is an equivalent expression for the quotient? 4²/4⁵
Lisa [10]

Answer:

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

Step-by-step explanation:

\frac{ {4}^{2} }{ {4}^{5} }  =  \frac{1}{ {4}^{ - 2} \times  {4}^{5}  }  =  \frac{1}{ {4}^{(5 - 2)} }  = \frac{1}{ {4}^{3} }

8 0
3 years ago
Tamira invests $5,000 in an account that pays 4% annual interest. How much will there be in the account after 3 years if the int
Talja [164]

Answer:

There will be $5624.32 in the account after 3 years if the interest is compounded annually.

There will be $5630.812 in the account after 3 years if the interest is compounded semi-annually.

There will be $5634.125 in the account after 3 years if the interest is compounded quarterly.

There will be $5636.359 in the account after 3 years if the interest is compounded monthly

Step-by-step explanation:

Tamira invests $5,000 in an account

Rate of interest = 4%

Time = 3 years

Case 1:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 1

Formula :A=P(1+r)^t

A=5000(1+0.04)^3

A=5624.32

There will be $5624.32 in the account after 3 years if the interest is compounded annually.

Case 2:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 2

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

A=5000(1+\frac{0.04}{2})^{2 \times 3}

A=5630.812

There will be $5630.812 in the account after 3 years if the interest is compounded semi-annually.

Case 3:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 4

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

A=5000(1+\frac{0.04}{4})^{4 \times 3}

A=5634.125

There will be $5634.125 in the account after 3 years if the interest is compounded quarterly.

Case 4:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 4

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

A=5000(1+\frac{0.04}{12})^{12 \times 3}

A=5636.359

There will be $5636.359 in the account after 3 years if the interest is compounded monthly

8 0
3 years ago
Joe is training for a race in 30 days. He needs to run a total of 135 miles. How many miles will joe need to run each day to be
marin [14]
He needs to run 4.5 miles each day.
4 0
3 years ago
What’s number 12 through 15 pls I need this ASAP
galben [10]

Answer:

12. 9

Step-by-step explanation:

12. Using Pythagoras theorem

let shortest distance be = x

8 square + 5 square = x square

64 + 25 = x square

89 = x square

Therefore x = square root of 89

Thus X = 9

8 0
3 years ago
Leah's house has media room with a large flat screen tv. The media room tv has a width of 8 feet and a height of 4.5 feet. The f
neonofarm [45]
The ratio of the media room tv's width to height is 8ft to 4.5ft or 8/4.5

since the ratio of the living room tv's width to height is the same, the ratio would be
x/27 = 8/4.5
with x being the living room tv's width. Solve for x
x = (8/4.5)(27)
   = 48
The width of the living room tv is 48 inches
4 0
3 years ago
Read 2 more answers
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