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3 years ago

List combinations of three (length, width, and depth) that would give a volume of 1,536 cubic feet.

Mathematics

1 answer:

mel-nik [20]3 years ago

6 0

Answer:

Step-by-step explanation:

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Find the 8th term of the geometric sequence, given the first term and common ratio. a1=6 r=-1/3

Damm [24]

The rule of a geometric sequence:

$a_n=a_1r^{n-1}$

We have:

$a_1=6;\ r=-\dfrac{1}{3}$

Find $a_8=?\to n=8$

substitute:

$a_8=6\cdot\left(-\dfrac{1}{3}\right)^{8-1}=6\cdot\left(-\dfrac{1}{3}\right)^7=6\cdot\left(-\dfrac{1}{2187}\right)=-\dfrac{2}{729}$

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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

Month 0 (first payment)

$250

Month 1

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

Month 2

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

Month 3

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

Month 24 (2 years)

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

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.

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3 years ago

Find the radius of the congruent circles. Thanks and hope you have a good rest of your day!!

Daniel [21]

Answer:

the radius is 10 since 10 plus ten is 20

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3 years ago

What is the quotient of 15÷3?

Ludmilka [50]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

If Leslie travels 1/3 of a mile in 5/6 of an hour and maintains a constant speed, what is her distance per hour?

hammer [34]

D = S × T
S = D ÷ T
T =D ÷S

sorry thats all i can do

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3 years ago