I really need help solving this problem im stuck and I cant find a way out of it Im trying to find a way to solve it or for someone to show me how to solve it

Tutors, sign in to answer this question.

Jonathan B. | New Math Tutor (Jon)New Math Tutor (Jon)

Hi, I have worked out your problem. You have to solve for t given an equation and 3 of the five unknowns.

first let's just solve the general equation for t. This is the general equation;

P=C * ( 1 + r/n ) ^ ( n * t )

divide by C

P/C = (1+r/n)^(n*t)

take the log of both sides so that t is in the base

log(P/C) =log(1+r/n) * n * t

divide bye the log stuff and n

log(P/C)/(n*log(1+r/n)) = t

Next the solving part.

We don't know n so we can simplify the equation for n = 1, and n = infinity.

n = 1 then the above equation becomes;

t = log(P/C) / (1*log(1+r/1)

t = log(P/C) / log(1+r)

lets substitute in now.

t = log (1093.34/490) / log(1.05) ....... your equation you forgot to add one to the denominator.

t = 16.45 years ====> this equation's units are in years. You can see that if you know that n is defined as the number of times per year it is compounded.

Part two, we don't know n so let it approach infinity ... n can't ever get there , so in math we take a limit to find what values of things are where infinity is involved

if you take the limit as n approaches infinity of the general equation you will get;

t = log (P / C) / r

so then t = log (1093.34/490) / 0.05

t = 16.05 years

the two answers you should submit are then,

t = 16.45 years with n = once / year

t = 16.05 years with n = infinite times / year

If you don't know what limits are and don't know where I came up with any equation let me know, and I will try to explain it to you. I don't know what kind of class you're in, so I don't know what level of knowledge you have.

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Pnina L.

The Only Tutor You'll Ever Need, effective/organized/creative/patient.

$12.50 per 15 min

View Profile >

Ginny P.

Ginny P. Richmond, VA ESL, Grammar, TESOL

$8.75 per 15 min

View Profile >

Bill C.

Effective Masters Grad Private Math Tutor

$10 per 15 min

View Profile >

## Comments