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gizmo_the_mogwai [7]
3 years ago
5

Kaylee decided to donate 30% of her savings if she has $238 in her savings account about how much will she Donate

Mathematics
1 answer:
balu736 [363]3 years ago
3 0

Answer: Donate $71.40

Step-by-step explanation:

To calculate a percentage of an amount, we have to multiply that percentage by the amount and divide by 100.

Donate =  $238 · 30 ÷ 100 = $7,140 ÷ 100 = $71.40

Answer : Donate $71.40

\textit{\textbf{Spymore}}

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Answer:

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2 years ago
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Mr. Blue drove from Allston to Brockton, a distance of 105 miles. On his way back, he increased his speed by 10 mph. If the jour
andrew-mc [135]

Answer:

His original speed was 60 mph.

Step-by-step explanation:

The average speed formula is shown below:

speed = distance / time

For the first leg of the trip Mr. Blue drove at a speed of "x" mph, for a distance of 105 miles, therefore the time that took to complete the trip is:

time 1 = distance / speed

time 1 = 105 / x h

On the second leg of the trip Mr. Blue drove faster at a speed of "x + 10" mph, so the time it took him to complete the trip was 15 minutes less, therfore:

time 2 = time1 - (15/60) = (105/x) - 0.25 = (105 - 0.25*x)/x h

Applyint the time and speed from the second leg to the average speed formula we have:

x + 10 = {105/[(105 - 0.25*x)/x]}

x + 10 = 105*x/(105 - 0.25*x)

(x + 10)*(105 - 0.25*x) = 105*x

105*x + 1050 -0.25*x² - 2.5*x = 105*x

-0.25*x² -2.5*x + 1050 = 0 /(-0.25)

x² + 10*x - 4200 = 0

x1 = [-(10) + sqrt((10)² - 4*(1)*(-4200))]/2 = 60

x2 = [-(10) - sqrt((10)² - 4*(1)*(-4200))]/2 = -70

Since his speed couldn't be negative the only possible value was 60 mph.

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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The daily cost of producing x high performance wheels for racing is given by the following​ function, where no more than 100 whe
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Answer:

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Step-by-step explanation:

Given cost function,

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So, the average cost per wheel,

A(x) = \frac{C(x)}{x}=\frac{0.09x^3-4.5x^2 + 180x}{x}=0.09x^2 - 4.5x + 180

Differentiating with respect to x,

A'(x) = 0.18x - 4.5

Again differentiating with respect to x,

A''(x) = 0.18

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Hence, the production would be 25 wheels for the lowest average cost per​ wheel.

And, lowest average cost,

A(x) = 0.09(25)² - 4.5(25) + 180 = $ 123.75

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The owner of a bookstore orders 32 copies of a book for $12.34 each.
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