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3 years ago

Someone help me with number 8

Mathematics

1 answer:

Gnesinka [82]3 years ago

6 0

Answer:

The answers are...:

The common ratio is -3

the sequence of the function is 2,-6, 18, -54, 162

and

the sequence of the function model is geometric

I hope this helps ^^"

Step-by-step explanation:

the common ratio is just from the -3 itself

the sequence model is just plugging n for every term so

a(1) would equal to 2, a(2)=-6 , a(3) would equal to -18, etc

and the geometric is bc it has the exponential that has (n-1), thus it is a geometric sequence

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A rectangular pool is 30 1/3 feet long and 12 1/2 feet wide. What is the area of the pool?

butalik [34]

About 379.1666666666666
The 6 is repeating. Or about 379 if your rounding.

4 0

4 years ago

Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous yea

Varvara68 [4.7K]

Answer: $56,900\left( 0.919\right)^x$

Step-by-step explanation:

Given

Marcos purchased a sailboat for $\$56,900$

Each year the boat will decrease in value by $8.1\%$

After 1 year it is

$\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\$

after another year it becomes

$\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2$

After $x$ years it is

$\Rightarrow 56,900\left( 1-0.081\right)^x$

$\Rightarrow 56,900\left( 0.919\right)^x$

5 0

3 years ago

8. Colby and Cheryl work in different local supermarkets. Colby regularly earns $8.90 per hour,

faust18 [17]

Answer:

colby

hourly rate =$8.90

overtime rate = time and a half = 1.5

the hourly overtime rate is the product of the overtime rate and the hourly rate.

hourly overtime rate= overtime rate × hourly rate

= 1.5 × $8.90

= $13.35

Cheryl

hourly rate = $7.10

overtime rate = double time = 2

the hourly overtime rate is the product of overtime rate and the hourly rate.

hourly overtime rate = overtime rate × hourly rate

= 2 × $7.10

= $14.20

<h3>Comparison</h3>

we note that the hourly overtime rate of cheryl is higher than the hourly overtime rate of colby, which implies that cheryl earns more for one hour of overtime.

we are also interested in the difference of the hourly overtime rate:

hourly overtime rate colby — hourly overtime rate cheryl

= $14.20 – $13.35

= $0.85

thus cheryl earns $0.85 more for one hour of overtime than colby .

<h3>result</h3>

<h2>cheryl,$0.85</h2>

그것이 당신에게 도움이되기를 바랍니다 :)

가장 똑똑한 것으로 표시하십시오 :)

좋은 하루 되세요 :)

5 0

3 years ago

a store sign reads "Take 75% of the original price when you take an additional 15% off the sale price, which is 60% off the orig

ExtremeBDS [4]

Answer:

The new price is 66% off the original not 75% off

Step-by-step explanation:

Let x be the original price

First take 60 percent off

x - x*60% = new price

x- .60x = .40x

The new price is .40x

Then take 15 % off

(.40x) - (.40x)*15%

.40x - .40x*.15

.40x - .06x

.34x

100 -.34 =.66

The new price is 66% off the original not 75% off

3 0

3 years ago

Ben jogged 4 and 1/2 miles in 1 and 1/4 hours at a constant rate. How far did Ben jog in one hour? *

Mrac [35]

let's firstly convert the mixed fractions to improper fractions and then proceed.

$\stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill$

$\begin{array}{ccll} miles&hours\\ \cline{1-2} \frac{9}{2}&\frac{5}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{9}{2}~~}{x}=\cfrac{~~ \frac{5}{4}~~}{1}\implies \cfrac{~~ \frac{9}{2}~~}{\frac{x}{1}}=\cfrac{5}{4}\implies \cfrac{9}{2}\cdot \cfrac{1}{x}=\cfrac{5}{4} \\\\\\ \cfrac{9}{2x}=\cfrac{5}{4}\implies 36=10x\implies \cfrac{36}{10}=x\implies \cfrac{18}{5}=x\implies 3\frac{3}{5}=x$

7 0

3 years ago