Needing help with a math problem...

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I have a test tomorrow & I'm stumped on this question out of the study guide.

What is $6800 at 4% compounded monthly for 9 months?

I have

6800(1+.04/12)12x.75exponent

6800(this is where I have trouble since the 3 is repeating)(1.003)9exponent

=$6985.82

The study guide says the correct answer is $7006.74. I think I messed up with the .04/12 since you get a repeating 3. What do you do with it? :confused:

Specializes in Telemetry & Obs.

Omg!! Drug calcs I can do, but THIS??

Sorry :rotfl:

Just a thought, though...have you tried to find a bank calculator online?

I used Excel and got the correct answer, but I can't figure how to work it out.

This is the formula, if it helps any-

A=P(1+R/N)NxT (exponents)

A= Accumulated amount of $

P= Principle (what you started with)

R= Rate in decimal form (example 6% = 0.06)

N= # of times compounded per year

T= time in years

.04/12 is the yearly interest. It's .00333333333 neverending. When I add 1 to it (1+r/n) I of course still get a repeating number. So I called it 1.003 (which is wrong) to the 9th power multiplied by 6800.

BTW, this is Fundamentals of Math! I dread going into algebra the 2nd 1/2 of the semester if it's anything like this! :uhoh3:

Specializes in OB, M/S, HH, Medical Imaging RN.

My 80 year old Dad could work this in 2 seconds flat. It's 2100 here and I'm sure he's already asleep. If you still need the answer in the AM I could get the answer from him.

My 80 year old Dad could work this in 2 seconds flat. It's 2100 here and I'm sure he's already asleep. If you still need the answer in the AM I could get the answer from him.

Oh, no biggie. My test is in the am. I understand everything else so if I miss this I won't fail ;)

Specializes in OB, M/S, HH, Medical Imaging RN.

Cool ! I'm testing myself tomorrow. ACLS renewal time, oh boy fun stuff !

I used Excel and got the correct answer, but I can't figure how to work it out.

This is the formula, if it helps any-

A=P(1+R/N)NxT (exponents)

A= Accumulated amount of $

P= Principle (what you started with)

R= Rate in decimal form (example 6% = 0.06)

N= # of times compounded per year

T= time in years

.04/12 is the yearly interest. It's .00333333333 neverending. When I add 1 to it (1+r/n) I of course still get a repeating number. So I called it 1.003 (which is wrong) to the 9th power multiplied by 6800.

I'm almost positive that you should have set up the equation like this:

6800(1+.04/9)^9x.75

If N= # of times compounded per year, then the 4% is compounded 9 times.

The important part of the question is asking for "4% compounded monthly for 9 months."

Again the key is MONTHLY for 9 months. So if you only get 9 months and it is compounded monthly, it can only be compounded 9 times.

N=9

But at I said earlier, almost positive... Haha!

What is $6800 at 4% compounded monthly for 9 months?

I have

6800(1+.04/12)12x.75exponent

6800(this is where I have trouble since the 3 is repeating)(1.003)9exponent

=$6985.82

The study guide says the correct answer is $7006.74. I think I messed up with the .04/12 since you get a repeating 3. What do you do with it?

I'm almost positive that you should have set up the equation like this:

6800(1+.04/9)^9x.75

If N= # of times compounded per year, then the 4% is compounded 9 times.

The important part of the question is asking for "4% compounded monthly for 9 months."

Again the key is MONTHLY for 9 months. So if you only get 9 months and it is compounded monthly, it can only be compounded 9 times.

N=9

But at I said earlier, almost positive... Haha!

That makes sense! What would the exponent then be? 9 x .75 = 5.25. Doesn't it have to be a whole number?

Specializes in Operating Room.
My 80 year old Dad could work this in 2 seconds flat. It's 2100 here and I'm sure he's already asleep. If you still need the answer in the AM I could get the answer from him.

Must be nice to have not grown up with a calculator when you were learning math. lol

Sometimes technology is not good. (Where's my brain? It's in its calculator case on top of my chemistry book!) :p

Good luck to those taking tests! :)

That makes sense! What would the exponent then be? 9 x .75 = 5.25. Doesn't it have to be a whole number?

Actually 9*.75 = 6.75

It's asking for 75% of 9.

25% of 9 is 2.25

2.25 + 2.25 + 2.25 = 6.75 + 2.25 = 9

No, I don't think it has to be a whole number. I tried rounding to 7 and also to 6.8, but the answer became too large. 7014 and 7008 respectively. Leaving the exponent at 6.75 gives the answer of 7006.

Again I have to say that I am not 100% sure that I am right. I haven't taken a math class in over 5 years. I've never much cared for these accounting/banking problems.

Best of luck on your exam!

Specializes in NICU/L&D, Hospice.

Here's my go at it...and I got the right answer if that helps.

A (amount)

A=6800(1+.04/12) 9 (exponent)

A=6800(1.00333333) 9 (exponent) my calc only went to five 3's but got the right answer

A=6800 X 1.034025

A= 7006.74 (rounded up)

I dont have exponent on my basic calc, but 1st time I entered it was to the 1st power, than hit the X key, then hit the = key 8 more times to come up with the 1.034025.

Good luck and hope you get to use a calc!!!!!!!!!!

Lisa

Here's my go at it...and I got the right answer if that helps.

A (amount)

A=6800(1+.04/12) 9 (exponent)

A=6800(1.00333333) 9 (exponent) my calc only went to five 3's but got the right answer

A=6800 X 1.034025

A= 7006.74 (rounded up)

I dont have exponent on my basic calc, but 1st time I entered it was to the 1st power, than hit the X key, then hit the = key 8 more times to come up with the 1.034025.

Good luck and hope you get to use a calc!!!!!!!!!!

Lisa

That's what my instructor said this morning when I asked about it. We're allowed to use calculators, but not scientific ones, which I guess is good since no calculators at all can be used on the NLN test. Let's just hope this kind of problem (repeating #'s) isn't on it

There were 60 of these problems on the test. I'll get my results this afternoon. Thanks for the help everyone!

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