Question

WIN MEDAL

How much would Carol have to invest today at 6.2% compounded annually to have $4600 for a vacation to China in two years?

Answer 1

@mathmate

Answer 2

Compound interest formula
FV=Future value,
PV=present value
i=annual interest
k=compounding frequency, times per year
n=number of years

\[FV = PV(1+i/k)^{kn}\]

If compounding is once a year, as in the present example, then k=1, or
\[FV = PV(1+i)^{n}\]

Answer 3

i get an answer that isnt right

Answer 4

Bill travels west on Interstate 80 from Summerville. Sally leaves Carlton City and travels on I-80 in the same direction as Bill. Bill's distance in miles from Metro City is given by B(t) = 120 – 70t and Sally's distance in miles from Metro City is given by S(t) = 135 – 80t, where t is the number of hours since noon. Write an expression for the distance separating Bill and Sally and find their separation at 4:00 PM.
@mathmate

Answer 5

What formula did you use, and what did you get?

Answer 6

4600(1+6.2%)^2 i got 5188.08

Answer 7

@mathmate

Answer 8

Your answer is good according to numbers given.
Check for typos... last resort.... :(

Answer 9

Bill travels west on Interstate 80 from Summerville. Sally leaves Carlton City and travels on I-80 in the same direction as Bill. Bill's distance in miles from Metro City is given by B(t) = 120 – 70t and Sally's distance in miles from Metro City is given by S(t) = 135 – 80t, where t is the number of hours since noon. Write an expression for the distance separating Bill and Sally and find their separation at 4:00 PM. @mathmate

Answer 10

The distance separating Sally and Bill would be
D(t)=|B(t)-S(t)|
The absolute value function is required to avoid giving negative distance.
t is number of hours since noon. Bet you can figure out the value of t for 4 pm.

Answer 11

615 @mathmate

Answer 12

brittnicoleee_
You just go from stating that your answer is wrong and then start a new problem?
How about finishing one question first?
What is your incorrect answer?