Answer:
$1017.19
Step-by-step explanation:
First find the fraction of how much of Paulo's money is spent on his rent and car. Add 1/4 and 1/8, which is 3/8 because 1/4 = 2/8. Then multiply 3/8 by Paulo's monthly spending, which is $2712.50. Multiplying those numbers will get you $1017.1875. which you have to round up to $1017.19 because you can't spend three quarters of a cent.
First, substitute the given radius and given height of the cone into the formula for the volume of a cone.
Volume of a cone: (1/3) pi r^2 h
In this case, the cone volume is (1/3) pi (12 cm)^2 (12 cm) = 576 cm^3
Vol. of a rt. cylinder: pi r^2 h
In this case, the vol. of the rt. cyl. is pi (8 cm)^2 h.
The two different shapes have the same volume. Therefore, set the two formulas (above) equal to each other:
576 pi cm^3 = pi (8cm)^2 h. This becomes
576 pi cm^3 = pi (64 cm^2) h. "pi" cancels out, leaving us with
576 cm^3
------------- = h. This is the height of the cylinder, in cm.
64 cm^2
Answer: 1.05
Step-by-step explanation:
Fro one to solve a decimal multiplier, we need to either add or subtract the number that we are given in percentage from 100% ane then convert the value we get to a decimal.
In this case, since we want to increase the value by 5%, we add the value to 100% and then change to decimal. This will be:
= 100% + 5%
= 105%
We then divide 105% by 100%
= 105%/100%
= 1.05
The answer is 1.05
