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2 years ago

What is an advantage of renting a place to live?

Advanced Placement (AP)

2 answers:

Masteriza [31]2 years ago

9 0

Answer:

Most of the time rent is cheaper then a mortgage.

Explanation:

hope this helps :)

snow_tiger [21]2 years ago

4 0

Most of the time rent is cheaper then a mortgage.

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Surface Area of a can is 517.8 cm^2. Maximize the volume of this can using the measured surface area.

mafiozo [28]

Answer:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

Explanation:

Given

Object: Can (Cylinder)

$Surface\ Area = 517.8cm^2$

Required

Maximize the volume

The surface area is:

$S.A = 2\pi r^2 + 2\pi rh$

Substitute 517.8 for S.A

$517.8 = 2\pi r^2 + 2\pi rh$

Divide through by 2

$258.9 = \pi r^2 + \pi rh$

Factorize:

$258.9 = \pi r(r + h)$

Divide through by $\pi r$

$\frac{258.9}{\pi r} = r + h$

Make h the subject

$h = \frac{258.9}{\pi r} - r$ --- (1)

Volume (V) is calculated as:

$V = \pi r^2h$

Substitute (1) for h

$V = \pi r^2(\frac{258.9}{\pi r} - r)$

Open Bracket

$V = 258.9r - \pi r^3$

Differentiate V

$V' = 258.9 - 3\pi r^2$

Set V' to 0

$0 = 258.9 - 3\pi r^2$

Collect Like Terms

$3\pi r^2 = 258.9$

Divide through by 3

$\pi r^2 = 86.3$

Divide through by $\pi$

$r^2 = \frac{86.3}{\pi}$

$r^2 = \frac{86.3*7}{22}$

$r^2 = \frac{604.1}{22}$

Take square root of both sides

$r = \sqrt{\frac{604.1}{22}$

$r = 5.24$

Recall that:

$h = \frac{258.9}{\pi r} - r$

Substitute 5.24 for r

$h = \frac{258.9}{\pi * 5.24} - 5.24$

$h = \frac{258.9*7}{22 * 5.24} - 5.24$

$h = \frac{1812.3}{115.28} - 5.24$

$h = 15.72 - 5.24$

$h = 10.48$

Hence, the dimension that maximize the volume is:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

7 0

2 years ago

Your used car payment will be $250 per month. What financial challenge do you now face?

34kurt

Answer:

My car payment is higher than my discretionary spending.

Explanation:

If the car payment is going up, then the car payment may be higher than your discretionary spending. Discretionary spending is money that the government has implemented through an appropriations bill. This money is given to participents based on the funding available and the number of recipients eligible to receive funding.

6 0

2 years ago

Which of the following countries has established a democratic government MOST recently?

Degger [83]

Answer:

am thinking of India and south Africa and am pretty sure is India.

4 0

2 years ago

Will give brainliest<br> 11<br> Just say hi

PSYCHO15rus [73]

Answer:hi

Explanation: