Answer:
A = $32,652.44
Step-by-step explanation:
Given: Principal (P) = 30,760.08, Annual Rate (R) = 12%, Time (t in years) = 0.5
To find: How much David needs to invest monthly
Formula:
Solution: To find, simply add principal + interest
First, convert R as a percent to r as a decimal
r = R/100
r = 12/100
r = 0.12 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 30,760.08(1 + 0.12/12)(12)(0.5)
A = 30,760.08(1 + 0.01)(6)
A = $32,652.44
Therefore;
The total amount David will obtain with 30,760.08 for 6 months, 12%is $32,652.44.
The volume of the cylinder is 6283.18530717959
Answer:
The driving time at 54 miles per hour is 37.04 hours.
The driving time is at 75 miles per hour is 26.67 hours.
The gasoline cost at 54 miles per hour is $201.82
The gasoline cost at 75 miles per hour is $302.73
Step-by-step explanation:
Suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per hour,
and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour.
The driving time for a 2000-mile trip if you drive at an average speed of 54 miles per hour = Distance / Speed = 2000 / 54 = 37.04 hours.
The driving time for a 2000-mile trip if you drive at an average speed of 75 miles per hour = Distance / Speed = 2000 / 75 = 26.67 hours.
Assume a gasoline price of $3.33 per gallon.
The gasoline cost for a 2000-mile trip if you drive at an average speed of 54 miles per hour = (Distance / Gas mileage) * Cost = (2000/33)*3.33 = $201.82
The gasoline cost for a 2000-mile trip if you drive at an average speed of 75 miles per hour = (Distance / Gas mileage) * Cost = (2000/22)*3.33 = $302.73
9514 1404 393
Answer:
$163,002
Step-by-step explanation:
If you're working problems of this sort, you have been shown formulas and examples. Use the appropriate formula with the numbers of this problem.
For the formula below, you have d=3000, r=0.045, k=4, N=11
P = (3000)(1 -(1 +0.045/4)^(-11·4))/(0.045/4) ≈ 163,002
The account needs to hold about $163,002 to make this possible.