Given:
Cone shape: radius = 24 cm ; height = 6cm
Cylinder: radius = 16cm
We need to find the volume of each shape.
Volume of a cone = π r² h/3 = 3.14 * 24² * 6/3 = 3.14 * 576 * 2 = 3,617.28
Volume of a cylinder = π r² h
3,617.28 = 3.14 * 16² * h
3,617.28 = 3.14 * 256 * h
3,617.28 = 803.84 h
3,617.28 / 803.84 = 803.84h/803.84
4.5 = h
The height of the cylinder is 4.5cm
1/4n-8=1/4 would be first because it says less than so you switch it. then you put the 8 since it's in the same subtraction problem. Then the word "is" indicates the equal sign. and the n represents "a number" since it is unknown.
The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
Answer:
Her opportunity cost of reading 10 pages of sociology is 15 pages of Economics
Her opportunity cost of reading 18 pages of economics is 12 pages of sociology.
Step-by-step explanation:
For economics, Latasha reads 1 page in 2 mins (gotten by dividing the number of pages by the time taken to read it i.e 30 pages in 1 hr or 60 mins)
Her sociology is read 1 page in 3 mins (20 pages read in 60 mins)
To read 10 pages of sociology will take 30 mins. She will read 15 pages of Economics in the same time which is the opportunity cost.
In the same vein, It will take her 36 mins to read 18 pages of Economics at the same rate. This is the opportunity cost of reading 12 pages of Sociology (which she reads at 1 page in 3 mins).
