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Tanya [424]
3 years ago
12

Annalise makes rectangular patchwork quilts out of leftover fabric scraps. The first scrap she is using to make a quilt has a wi

dth of 2x feet and a
Hength of 5x feet. When finished, the entire quilt will be 5 feet wider and 3 feet longer than the first fabric scrap used. Which of the following
functions will give the area, fx), of the quilt in square feet?
Mathematics
1 answer:
tekilochka [14]3 years ago
3 0

Answer:

Area = f(x)=10x^2 + 31x + 15

Step-by-step explanation:

The function is the area function of a rectangle.

Area of Rectangle = Length * Width

Length of fabric scrap = 5x

Length of rectangular patchwork will be 5x + 3

and

Width of fabric scrap = 2x

Width of rectangular patchwork will be 2x + 5

THus, Area = (5x+3)(2x+5) square feet.

Let's expand:

Area = f(x) = (5x+3)(2x+5)\\f(x)=10x^2 + 25x + 6x + 15\\f(x)=10x^2 + 31x + 15

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Answer:

100,000,000

Step-by-step explanation:

You can just add up the zeros, if that makes sense.

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he U.S. Bureau of Labor Statistics reports that the average annual expenditure on food and drink for all families is $5700. Assu
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Answer:

87.08% percentage of families spend more than $4000 annually on food and drink

Step-by-step explanation:

Given -

average annual expenditure on food and drink for all families is $5700

Mean  (\nu) = 5700

standard deviation (\sigma ) = 1500

Let X be the no of families spend annually on food and drink

percentage of families spend more than $4000 annually on food and drink =

P(X > 4000)  = P(\frac{X - \nu }{\sigma }> \frac{ 4000 - 5700}{1500})

                      =  P(Z > - 1.13)     Using  (Z = \frac{X - \nu }{\sigma })

                      =  1 - P(Z

                      = 1 - .1292

                      = .8708

                       = 87.08%

7 0
3 years ago
What does b represent in the equation of a line in the form y = mx + b?
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B is the y intercept.
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Round 24.787 to the nearest hundredth.<br> Help me plz
artcher [175]

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it that a comma or decimal

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The right expression to calculate how much money will be in an investment account 14 years from now if you deposit $5,000 now an
Svet_ta [14]

Answer:

The expression to compute the amount in the investment account after 14 years is: <em>FV</em> = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].

Step-by-step explanation:

The formula to compute the future value is:

FV=PV[1+\frac{r}{100}]^{n}

PV = Present value

r = interest rate

n = number of periods.

It is provided that $5,000 were deposited now and $3,000 deposited after 6 years at 10% compound interest. The amount of time the money is invested for is 14 years.

The expression to compute the amount in the investment account after 14 years is,

FV=5000[1+\frac{10}{100}]^{14}+3000[1+\frac{10}{100}]^{14-6}\\FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}

The future value is:

FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}\\=18987.50+6430.77\\=25418.27

Thus, the expression to compute the amount in the investment account after 14 years is: <em>FV</em> = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].

4 0
3 years ago
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