Answer: Ali would need to drive 350 miles for the two plans to cost the same.
Step-by-step explanation:
This question can be solved by creating two equations using the information supplied in the question and then solving these simultaneously.
Let the cost be C.
Let the number of miles be M.
Let the initial payment be i.
Let the rate per mile driven be R.
Plan 1:
C = i+R×M
C = 70+0.60M ... equation 1
Plan 2:
C = i+R×M
C = 0+0.80M
C = 0.80M ...equation 2
Substituting equation 2 into equation 1:
0.80M = 70+0.60M
0.80-0.60M = 70
0.20M = 70
M = 70/0.20
M = 350 miles
Answer:
$15,539.67
Step-by-step explanation:
Compound Interest Formula
where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- P = $11,000
- r = 5.8% = 0.058
- n = 4 (quarterly)
- t = 6 years
Substitute the given values into the formula and solve for A:
Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.
Answer:
$38
Step-by-step explanation:
Since the last two numbers aren't over 50, we would round down. This leaves you with $38.
Answer:
Prachi was 5 kilometers east of her home when she began driving farther east at 70 kilometers per hour.
Let f(n) be Prachi's distance from her home at the beginning of the nth hour of her drive.
f is an arithmetic sequence.
Write an explicit formula for the sequence.
f(n) = 70n + 5
Step-by-step explanation:
