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3 years ago

Find the volume of a sphere that has diameter of 9 feet.

Mathematics

1 answer:

jek_recluse [69]3 years ago

5 0

Answer:

V≈381.7ft³

Step-by-step explanation:

try using a sphere calculator next time its a lot easier and saves time

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5000 12% compounded quarterly compound interest table find earned after 5 years

kolezko [41]

<h3>Amount earned after 5 years is $ 9030.5561</h3>

Solution:

The formula for compound interest, including principal sum, is:

$A = p(1+\frac{r}{n})^{nt}$

A = the future value of the investment including interest

P = the principal investment amount

r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 5000

t = 5 years

$r = 12 \% = \frac{12}{100} = 0.12$

n = 4 ( since interest is compounded quarterly )

Substituting the values we get,

$A = 5000(1+\frac{0.12}{4})^{4 \times 5}\\\\A = 5000(1+0.03)^{20}\\\\A = 5000 \times 1.03^{20}\\\\A = 5000 \times 1.806111\\\\A = 9030.5561$

Thus amount earned after 5 years is $ 9030.5561

7 0

3 years ago

A train left a station a station at noon going 40mph. A second train left at 3 p.m. going 60mph. At what time will the second tr

Sati [7]

Here speed of first train is slower than speed of second train. So if they catch up , the distance traveled will be same since they left the same station at different times.

But the time traveled will be different .

Let us say the two trains meet at time t ,

Distance = speed * time

Distance traveled by first train = 40 t

Since second train is leaving after three hours , so

Distance traveled by second train = 60(t-3)

As discussed earlier, distance traveled will be same, so

$40t =60(t-3)$

distributing 60 over t-3

$40t =60t-180$

$60t -40t=180$

$20t =180$

$t =180/20$

t=9

So the second train will meet the first at 9 p.m.

5 0

3 years ago

Read 2 more answers

Buying one movie ticket online costs $16.50. Two tickets cost $30.50. Assuming that the relationship is linear, use the drop dow

HACTEHA [7]

Answer:

$C(n)=14n+2.50$

Step-by-step explanation:

Let

n -----> number of tickets

C ----> represent the cost of buy n tickets online

we have the ordered pairs

(1,16.50) and (2,30.50)

Find out the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{C2-C1}{n2-n1}$

substitute the values

$m=\frac{30.50-16.50}{2-1}$

$m=14$

Find the equation of the line in slope intercept form

$C=m(n)+b$

we have

$m=14$

$point(1,16.50)$

substitute

$16.50=14(1)+b$

$b=16.50-14$

$1b=2.50$

substitute

$C(n)=14n+2.50$

The domain of the function is all positive integers (whole numbers) including zero

{0,1,2,3,4,...}

5 0

3 years ago

What is the solution set of the equation X/5 + x/2 =14?

JulijaS [17]

Answer:

x= 20

Step-by-step explanation:

Solve for x:

(7 x)/10 = 14

Multiply both sides of (7 x)/10 = 14 by 10/7:

(10×7 x)/(7×10) = 10/7×14

10/7×7/10 = (10×7)/(7×10):

(10×7)/(7×10) x = 10/7×14

10/7×14 = (10×14)/7:

(10×7 x)/(7×10) = (10×14)/7

(10×7 x)/(7×10) = (7×10)/(7×10)×x = x:

x = (10×14)/7

14/7 = (7×2)/7 = 2:

x = 10×2

10×2 = 20:

Answer: x = 20

7 0

3 years ago

Solve the linear equation: x-y=7 0.5x+y=5

evablogger [386]

Add the equations.

x-y%2B0.5x%2By=7%2B5

1.5x=12

highlight%28x=8%29

Now use either equation to solve for y.

8-y=7

highlight%28y=1%29

x=8

y=1

4 0

3 years ago