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3 years ago

If r = 8 units and h = 10 units, what is the volume of the cylinder shown above? Use 3.14 for .

1 answer:

4 0

The formula of the volume of a cylinder:

$V=\pi r^2H$

We have:
r =8 u. ; H = 10 u.

substitute:

$V=\pi\cdot8^2\cdot10=\pi\cdot64\cdot10=640\pi\ u^3\approx640\cdot3.14=2009.6\ u^3$

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The net worthw(t) of a company is growing at a rate of′(t) = 2000−121t2dollarsper year, wheretis in years since 1990.(a) If the

stiv31 [10]

Answer:

The worth of the company in 2000 is $56,000.

Step-by-step explanation:

The growth rate of the company is:

$f'(t)=2000-12t^{2}$

To determine the worth of the company in 2000, first compute the change in the net worth during the period 1990 (t = 0) to 2000 (t = 10) as follows:

$\int\limits^{10}_{0} {2000-12t^{2}} \, dt =\int\limits^{10}_{0} {2000} \, dt-12\int\limits^{10}_{0} {t^{2}} \, dt=2000 |t|^{10}_{0}-12|\frac{t^{3}}{3}|^{10}_{0}\\=(2000\times10)-(4\times10^{3})\\=20000-4000\\=16000$

The increase in the company's net worth from 1990 to 2000 is $16,000.

If the company's worth was $40,000 in 1990 then the worth of the company in 2000 is:

Worth in 2000 = Worth in 1990 + Net increase in company's worth

$=40000+16000\\=56000$

Thus, the worth of the company in 2000 is $56,000.

4 0

3 years ago

In a shipment of onions , 12% are damaged. 1114 onions are undamage. find the total number of onions in the shipment

katrin2010 [14]

Get on mathpapa is shows you the answer and how to explain it

3 0

3 years ago

Find the perimeter and area of each figure below.

KonstantinChe [14]

A) Perimeter of Trapezium = 8+5+6+15.5
= 34.5in
Area= 1/2*(a+b)*h
=1/2*(8+15.5)*4
=47in^2

B)Perimeter= 12+6+8.5
=26.5mm

Area=1/2*b*h
=1/2*12*4
=24mm^2

6 0

3 years ago

Simplify x + 6.2 + 8.5. 6.2x + 8.5 x + 14.7 0 14.7×

Alenkinab [10]

Answer:

x + 14.7

Step-by-step explanation:

Simply combine like terms. Constants go with each other and x terms go with each other.

6.2 + 8.5 = 14.7

x = x

x + 14.7

3 0

3 years ago

Solve -24 + (1-4)^2

ElenaW [278]

Answer:

-15

Step-by-step explanation:

-24 + (1-4)^2 (solve parentheses first)

= -24 + (-3)^2 (solve exponent)

= -24 + 9

= -15

6 0

3 years ago

Read 2 more answers