Answer:
FV= $4,725.74
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $2,000
Number of periods (n)= 15 years
Interest rate (i)= 5.9% = 0.059
<u>To calculate the Future Value, we need to use the following formula:</u>
<u></u>
FV= PV*(1 + i)^n
FV= 2,000*(1.059^15)
FV= $4,725.74
Answer:
t Subscript alpha divided by 2 = 2.921
Step-by-step explanation:
With sample sizes lower than 30, we use the t-test.
Otherwise, we use the z-test.
Here, n = 17
So we use the t-test.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 17 - 1 = 16
Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of 0.99(
). So we have T = 2.921
So the correct answer is:
t Subscript alpha divided by 2 = 2.921
Answer:
C 20
Step-by-step explanation:
Set up equations:
Laguna's Truck Rentals
y = 2x + 20
Where x is the number of miles driven and y is the total price
<em>How did we get to this equation?</em>
Well, the company charges $2 for every mile driven. Therefore, by multiplying 2 and x, you will find the price paid per mile. The 20 (which represents $20) is the one-time payment you pay for simply using the service.
Salvatori's Truck Rentals
y = 3x
Where x is the number of miles driven and y is the total price
<em>How did we get to this equation?</em>
For this company, you only pay for how many miles you drive. There isn't a one-time payment like there is for Laguna's Truck Rentals. Therefore, you only need to multiply the price per mile ($3) by the number of miles driven (x).
Set the equations equal to each other:
2x + 20 = 3x
<em>Why would you do this?</em>
We need to set the equations equal to each other because we need to find the point at which the prices are the same. When two things are the same, they are equal. Therefore, we get rid of the y variable (which represents the total price) because we want to find the value of x when the equations are equal to one another.
Solve:
2x + 20 = 3x
Subtract 2x on both sides:
2x + 20 = 3x
-2x -2x
20 = x
When x is equal to 20, or when the number of miles driven is 20, the total price of the Truck Rental services is the same.
Hope this helps :)
A) 4 cm
B) 9 cm x 12 cm
C) 108 cm
I think the answer is 3,-7
