Answer:
Step-by-step explanation:
<u>Given</u>
- Monthly payment P = $300
- Time t = 3 years = 36 months
- Number of payments n = 36
- Interest rate r = 12% PA = 1% per month = 0.01 times
<u>Use loan payment formula:</u>
- P = r(PV) / (1 - (1 + r)⁻ⁿ),
- where P- monthly payment, PV - present value (amount of the loan), r -rate of interest, n- number of payments
<u>Substitute values and solve for PV:</u>
- 300 = (0.01*PV) / (1 - (1 + 0.01)⁻³⁶)
- PV = 300*(1 - 1.01⁻³⁶ )/ 0.01
- PV = 9032.25 ≈ $9000 (rounded to the nearest hundred dollars)
Answer:
Given the function: y=f(x) = 3x+2
when x=-2 at the beginning of the interval [-2, 5],
then;
y = 3x+2 begins at
y= 3(-2)+2 = -6+2= -4.
and
when x=5 at the end of the interval [-2, 5],
y = 3x+2 ends up at
y= 3(5)+2 = 15+2= 17.
So,
y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21
and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7
So, the average rate of change of y with respect to x over the interval
[-2, 5] is given by ;
=
Therefore, the average rate of change y with respect to x over the interval is, 3
Step-by-step explanation:
Answer: approximately 35
explanation:
divide 106 by 3 = 35.33
Answer: 38.41 minutes
Step-by-step explanation:
The standard error for the difference in means is given by :-

where ,
= Standard deviation for sample 1.
= Size of sample 1.
= Standard deviation for sample 2.
= Size of sample 2.
Let the sample of Latino name is first and non -Latino is second.
As per given , we have


The standard error for the difference in means will be :




Hence, the standard error for the difference in means =38.41 minutes