Answer:
A. $3,984
Step-by-step explanation:
The amount of interest is computed from ...
I = Prt
For the given values, the interest is ...
I = $3600×0.08×(16/12) = $384
Then the total amount that needs to be repaid is ...
Principal + Interest = $3600 +384 = $3,984
_____
The time period is 16 months, so is 16/12 years.
The time periods of the interest rate and "t" in the formula must match. If the interest rate is an annual rate, then "t" is in years. If the interest rate is a monthly rate, then "t" is the number of months.
Answer:
x = 6.40 units
Step-by-step explanation:
4^2 + 5^2 = x^2
x = 6.40 units
Average rate of change: r=[f(b)-f(a)]/(b-a)
r=-60→[f(b)-f(a)]/(b-a)=-60
b=5; f(b)=-213; a=1; f(a)=27
(-213-27)/(5-1)=(-240)/4=-60
Answer: The <span>two points in the table which create an interval with an average rate of change of -60 are:
x f(x)
1 27
5 -213</span>
Given:
The area model.
To find:
The area as a sum and area as a product.
Solution:
The four terms of the area model are
.
The area as a sum is the sum of all the terms of given area model.
Area as a sum = 
= 
The area as a product is the factor form of sum of all the terms of given area model.
Area as a product = 
= 
= 
Therefore, the area as a sum is
and the area as a product is
.
Answer:
The interval is [4,7]
Step-by-step explanation:
The rate of change is given by
f(x2) - f(x1)
-------------------
x2 -x1
We want the rate of change to be 56
f(x2) - f(x1)
------------------- = 56
x2 -x1
We also know that the x2 is 7 so f(x2) = 192
192 - f(x1)
------------------- = 56
7 -x1
192 - f(x1) = 56( 7 -x1)
192 - f(x1) = 392 -56x1
Now we need to pick points from the table and see where it is true
(6,96)
192 - 96 = 392 -56*6
96=56 False
( 5,28)
192 - 28 = 392 -56*5
164=112 False
(4,24)
192 - 24 = 392 -56*4
168=168 True
The interval is [4,7]