Answer:
a. 38.19m/s
b. 38.605m/s
c. 38.937m/s
d. 39.0117m/s
e. 39.01917m/s
Step-by-step explanation:
The average velocity is defined as the relationship between the displacement that a body made and the total time it took to perform it. Mathematically is given by the next formula:
Where:
a. Let's find h(3) and h(4) using the data provided by the problem:
The average velocity over the interval [3, 4] is :
b. Let's find h(3.5) using the data provided by the problem:
The average velocity over the interval [3, 3.5] is :
c. Let's find h(3.1) using the data provided by the problem:
The average velocity over the interval [3, 3.1] is :
d. Let's find h(3.01) using the data provided by the problem:
The average velocity over the interval [3, 3.01] is :
e. Let's find h(3.001) using the data provided by the problem:
Answer:
The correct option is B.
Step-by-step explanation:
The formula for amount after compound interest is
Where P is principal, r is rate of interest, n is number of times interest compounded in a period, t is number of years.
It is given that Felix took out an unsubsidized student loan of $40,000 at a 3.6% APR, compounded monthly. The amount after 33 month is
The amount after 33 month is $44156.1074. So, the new principle amount is $44156.1074.
The monthly payment of $44156.1074 for 20 years is
Where, P.V. is present value, r is rate of interest and n is number of times interest compounded.
Therefore the correct option is B.
Answer:
24 students per mile
Step-by-step explanation:
Given in the question,
Length of rectangle for building university = 75 miles
Width of rectangle for building university = 25 miles
Total area:
Length x Width
= 75 x 25
= 1875 miles²
Only 70% of the buildings at this university are used for instruction
70% of 1875 miles²
70/100 x 1875
= 1312.5 miles²
32,125 students are enrolled at this university
So,
1312.5 miles² = 32,125 students
1 mile = 32,125/1312.5
= 24 students per mile
Answer:
54/5
Step-by-step explanation:
(3/5)(18)=54/5
Answer: 65π
Step-by-step explanation:
you can draw the cone to make it easier for you to understand.
to find the curved surface area of a cone, you multiply the base radius of the cone by pie. Then multiply your answer by the length of the side of the cone.
to do this you need the length of the side and the radius of the cone.
to find radius, divide the diameter by 2.
= 5
then use the right angle triangle in the cone to find the length of the side
use Pythagoras theorem which states that a² + b²= c²
a= 5, b= 12, c= x (length of side)
∴
no that you have found the length
multiply the base radius by pie
which is:
5 ×π = 5π
then multiply this by the length of the side
5π × 13 = 65π
there you go!
hope it helps!