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Annette [7]
3 years ago
15

A sphere and a cone have the same volume. each figure has a radius of 3 inches.

Mathematics
1 answer:
Inessa [10]3 years ago
8 0
The volume of a sphere - \frac{4}{3} \pi r^3
The volume of a cone - \frac{1}{3} \pi r^2 h
r - radius, h - height

The sphere and the cone have the same volume and the radius is 3 inches.
\frac{4}{3} \pi \times 3^3=\frac{1}{3} \pi \times 3^2 \times h \ \ \ |\div \pi \\
\frac{4}{3} \times 27=\frac{1}{3} \times 9 \times h \\
36=3h \ \ \ |\div 3 \\
h=12

The height of the cone is 12 inches.
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Find the accumulated value of an investment of 12,000 at 8 % compounded semiannually for 11 years
AleksAgata [21]
The "compound amount" formula is A = P(1+r/n)^(nt),
where P=original investment, r=interest rate as a decimal fraction; n=number of compounding periods, and t=number of years.

Then A = $12000 * (1+0.08/2)^(2*11) 
             = $12000(1.04)^(22)  =  $28,439.03  (answer)
4 0
3 years ago
Paula, the local baker, usually makes 1"5 loaves of bread and 10 cakes per day, but today she made 25 loaves of bread and 12 cak
frozen [14]

Answer:

the percentage increase for bread and cake is 66.67% and 20% respectively  

Step-by-step explanation:

The computation of the percentage increase for each bakery item is shown below:

For bread

= (25  - 15) ÷ 15

= 66.67%

For cakes

= (12 - 10) ÷ (10)

= 20%

Hence, the percentage increase for bread and cake is 66.67% and 20% respectively  

3 0
3 years ago
Write the following as a root in radical form 2^-4/5
erastovalidia [21]

Answer:

Given that:

=2^(-4/5)

This means that 2 is the base and -4/5 is the exponent.

To change it in radical form:

  • firstly the denominator would be written with radical sign
  • Then the negative sign with 4 will be removed by inverting the base.
  • Then the fraction will be simplified according to the exponent (power)
  • All the steps are performed below:

=\sqrt[5]{2^{-4} } \\=\sqrt[5]{1/2^4}\\ =\sqrt[5]{1/16}

i hope it will help you!

6 0
3 years ago
Cindy and her friends went out to breakfast. The total bill came to $49.87. They have to pay 6.2% sales tax and want to leave a
Paladinen [302]

Answer:$60.94

Step-by-step explanation:

49.87+11.07(the total of tax plus tip)=60.94

4 0
3 years ago
Read 2 more answers
Please help me with this. Please!
jonny [76]

Answer:

214

Step-by-step explanation:

A circle is 360 degrees

Arc EF is 146 degrees

EF + EDF = full circle

146 + EDF = 360

Subtract 146 from each side

146-146 +EDF = 360-146

EDF =214

4 0
3 years ago
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