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2 years ago

This year the school basketball team spent $400 on uniforms. Next year they will spend $600. What was the percent increase?

Mathematics

2 answers:

Pavlova-9 [17]2 years ago

6 0

100%= 400
half of 400 is 200
200+400 is 600
50% increase
150% all together

MA_775_DIABLO [31]2 years ago

3 0

The percent increase from $400 to $600 is 50%.

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A rectangular tank with a square base, an open top, and a volume of 8 comma 7888,788 ft cubedft3 is to be constructed of sheet

Vlad [161]

Answer:

26 ft square by 13 ft high

Step-by-step explanation:

The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...

2·(8788 ft^3) = (26 ft)^3

The square bottom of the tank is 26 ft square, and its height is 13 ft.

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<em>Solution using derivatives</em>

If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...

x^2 + 4x(8788/x^2) = x^2 +35152/x

The derivative of this is zero when area is minimized:

2x -35152/x^2 = 0

x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576

x = 26

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As the attached graph shows, a graphing calculator can also provide the solution.

5 0

3 years ago

The cost of fighting crime in a country increased significantly during the period 1982–1999. Total spending on police, courts, a

Mice21 [21]

Answer:

t→+[infinity] [ P ( t ) ] = $62.957 billion

t→+[infinity] [ f ( t ) ] = $143.214 billion

Step-by-step explanation:

Given:

- Total spending on police, courts, and prisons in the period 1982–1999 could be approximated, respectively,

P(t) = 1.743*t + 29.84 billion dollars (2 ≤ t ≤ 19)

C(t) = 1.096*t + 10.65 billion dollars (2 ≤ t ≤ 19)

J(t) = 1.917*t + 12.36 billion dollars (2 ≤ t ≤ 19)

Find:

- Compute lim t→+[infinity] for:

P ( t ) and P ( t ) + C ( t ) + J ( t )

Solution:

- The limit as t→+[infinity] for the above three function can be accounted for by considering the domain of each function.

- All functions : P ( t ) , C ( t ) , J ( t ) have the domain 2 ≤ t ≤ 19:

- So in other words, lim t→+[infinity] = lim t→19

- The limits are as follows:

lim t→19 [ P ( 19 ) ] = 1.743*19 + 29.84 = $62.957 billion

- The function f ( t ) is as follows:

f( t ) = P ( t ) + C ( t ) + J ( t ) = 4.756*t + 52.85 billion dollars

lim t→19 [ f ( 19 ) ] = 4.756*19 + 52.85 = $143.214 billion

3 0

3 years ago

A recent poll of 700 people who work indoors found that 278 smoke. if the researchers want to be 98% confident of their results

Mice21 [21]

Answer:

We are given:

$\hat{p}=\frac{278}{700}=0.397$

$z_{\frac{0.02}{2}}=2.33$ is the critical value at 0.02 significance level

$E=0.035$ is the margin of error

Therefore, the required sample size is:

$n=\hat{p}(1-\hat{p}) \left(\frac{z_{\frac{0.02}{2}} }{E} \right )^{2}$

$=0.397(1-0.397) \left( \frac{2.33}{0.035} \right)^2$

$=0.239391 \times 4431.755102$

$=1060.922286 \approx 1061$

Therefore, the required sample size n = 1061

5 0

3 years ago

Use the parabola tool to graph the quadratic function f(x)=2x^2−12x+11

GenaCL600 [577]

Answer:

xtp= 4/2

for y- interception subt xTp into equation ytp = 10

6 0

1 year ago

Your school raised 125% of its fundraising goal. The school raised $6750. What was the goal?

lozanna [386]

Let, the Goal = x
It would be: x * 125% = 6750
x * 1.25 = 6750 [ 125% = 1.25]
x = 6750 / 1.25
x = 5400

In short, Your Answer would be $5400

Hope this helps!

7 0

3 years ago

Read 2 more answers