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3 years ago

A sequence in which each term is found by adding the same number

1 answer:

3 0

arithmetic sequencea sequence in which each term is found by adding the same number to the previous term

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The population of a small town is 40,740. It's population falls by 8% per year. How many years later will the population be 14,5

Mashutka [201]

Answer:

0.9101523758 ≈ 1 year

Step-by-step explanation:

The population of a small town is 40,740.

Its population falls by 8% per year.

Given: Compound interest Amount (A) = P( 1 + $\frac{r}{n}$ $)^{nt}$

14,550 = 40,740(1 + $\frac{-8}{100 * 1}$ $)^{t*1}$

14,550 = (40,740 - 3259.2 $)^{t}$

14,550 = (37,480.8 $)^{t}$

t * log 37,480.8 = log 14,550

t = $\frac{ log 14,550}{log 37,480.8}$ = 0.9101523758 ≈ 1 year

6 0

3 years ago

What is the width of a rectangle prism with the length of 13 feet volume of 11,232 ft.³ and height of 36

vekshin1

To get the volume of a rectangular prism, you multiply the base times the height by the width, so to get the width you would divide 11,232 by 13 which is 864, then you divide that by 36 to get 24, so the width would be 24.

5 0

3 years ago

L 11.4.2 Test (CST): Summarizing Data Question 2 of 11 Four classmates collect data by conducting a poll. They ask students chos

Lelechka [254]

Answer

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3 years ago

Which expression is equivalent to logbase12 ((1/2)/8w)?

Lunna [17]

$\bf \begin{array}{llll} \textit{logarithm of factors} \\\\ log_a(xy)\implies log_a(x)+log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm of rationals} \\\\ log_a\left( \frac{x}{y}\right)\implies log_a(x)-log_a(y) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \log_{12}\left( \cfrac{~~\frac{1}{2}~~}{8w} \right)\implies \begin{array}{llll} \log_{12}\left( \frac{1}{2} \right)&-&\log_{12}(8w)\\\\ \log_{12}(1)-\log_{12}(2)&-&[\log_{12}(8)+\log_{12}(w)] \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \log_{12}(1)-\log_{12}(2)-\log_{12}(8)-\log_{12}(w)~\hfill$

7 0

3 years ago

A garden is in the shape of a square with a perimeter of

ElenaW [278]

The perimeter of a square is the sum of its sides and they are all equal, so to obtain the length of each of them we divide the perimeter of the first fence between 4:

P1= 64 feet/4 sides

P1= 16 feet

Then, the length of each side of the second fence will increase 2 feet at each end, as shown in the figure. We have then that the perimeter of the second fence is:

P2 = 20 feet x 4 sides

P2 = 80 feet

The sum of the perimeters of both fences is:

PT = P1 + P2

PT = 64 feet + 80 feet

PT = 144 feet

Total cost = 1.17 $ x 144 feet

Total cost = 168.48 $

The total cost of the fences was $ 168.48

6 0

3 years ago