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9966 [12]
3 years ago
8

Find the product.

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0
(2n+1)(2n-1)(n+5)
=(4n^2+2n-2n-1)(n+5)
=(4n^2-1)(n+5)
=4n^3-n+20n^2-5
4n^3+20n^2-n-5
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A plastic storage bin is shaped like a rectangular prism. The height of the bin is 9 inches. The bottom of the bin has an area o
Charra [1.4K]

Answer:

<em>1620in³</em>

Step-by-step explanation:

Volume of a rectangular prism = BH

B is the Base area

H is the height of the prism.

Given

B = 180in²

H = 9in

get the volume of the prism

Volume of the prism  = 180 * 9

Volume of the prism  = 1620in³

<em>Hence the volume of the rectangular prism is 1620in³</em>

4 0
2 years ago
In horizontal analysis the percent change is computed by: a. Subtracting the analysis period amount from the base period amount.
Sonja [21]

Answer:

  b. Subtracting the base period amount from the analysis period amount, dividing the result by the base period amount, then multiplying that amount by 100%

Step-by-step explanation:

A percentage change can be computed from ...

  ((new amount) -(old amount))/(old amount) × 100%

This best matches the description of choice B.

_____

<em>Comment on the answer</em>

The formula offered in the question will show the "percent change" from 100 to 103 as 3. It is not 3; rather, it is 3%. The final multiplication must be by 100% in order to arrive at the proper number.

3 0
3 years ago
Problem Solve for t.<br> 2(t+1) = 10
Svetllana [295]

t=4

explanation

2(t+1)=10

2t+2=10

2t=8

t=4

5 0
3 years ago
Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until
alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

<u>Month 0</u> (first payment)

$250

Month 1

250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})

<u>Month 2</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)

<u>Month 3</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)

<u>Month 24 (2 years)</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})

The sum  

1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}

is the sum of the first 24 terms of a geometric sequence with common ratio \frac{12.04}{12} which is

\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0
3 years ago
Find the values for a and b that would make the following equation true.
ale4655 [162]

Answer:

\left(ax^2\right)\left(-6x^b\right)=12x^5\\\\(-6a)x^{2+b}=12x^5\to -6a=12\ and\ 2+b=5\\\\-6a=12\ \ \ |:(-6)\\a=-2\\\\2+b=5\ \ \ |-2\\b=3

Answer:\ a=-2;\ b=3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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