Answer:
(B) cot Theta
Step-by-step explanation:
We want to simplify the expression:

Now:

Answer: The predicted difference in sleep is 1251437 minutes.
Step-by-step explanation:
Since we have given that
Number of years of education = 12 years
Number of minutes a week = 2000
As we have
In case of individual A:
7 days = 2000 minutes
1 year = 365 days = 
12 years = 
In case of individual B:
7 days = 3000 minutes
1 year = 365 days = 
16 years =
minutes
So, the predicted difference in sleep between individuals A and B is given by

Hence, the predicted difference in sleep is 1251437 minutes.
A can is a cylinder shape.
Volume of a cylinder = PI x r^2 X h
r is the radius and h is the height.
The diameter is given as 3.8, the radius is half that: 3.8 /2 = 1.9
Height is given as 6.5
Volume = 3.14 x 1.9^2 x 6.
Volume = 73.6801 cubic inches.
Rounded to the nearest tenth = 73.7 cubic inches.
Answer:
12
Step-by-step explanation:
4 × 3 = 12
3/3 = 12
2/3 = 8
1/3 = 4
8 slices were eaten and 4 are left, and if you add 8 + 4 or you multiply the 3 × 4, you get 12. There were originally 12 slices.
1. The problem gives the residual value in percentage, and you need it in dollars. So, if the MSRP for the car Jennifer is leasing is $ 17,500, you have:
57%/100=0.57
residual value=$17,500*0.57= $9,975
2. Then, you need to substract the residual value and the lease term, to calculate the value of the car, as below:
car value=$17,500-$9,975=$7,525
3. You need to calculate the money factor, which is the interest rate divided by 2400. Then, you have:
Interest rate=9%/100=0.09
Money factor=0.09x2400
Money factor=0.00375
4. The interest is:
I=($17,500+$9,975)(0.00375)
I=$103.03
5. Therefore, the monthly payment is:
Monthly payment=(car value/36 months)+Interest
Monthly payment=($7,525/36)+$103.03
Monthly payment=$209.02+$103.03
Monthly payment=$312.06
What will Jennifer’s monthly lease payment be?
The answer is: d. $312.06