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Math help (1 Viewer)

Gilroy34

Footballguy
1 )Find the initial amount invested at 8% interest compounded monthly if after 10 years it grows to $14,000

2) Determine the annual rate of interest compounded continuously for the sum of money in an account to double in 10 years

 
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The formula for compound interest is

Final amount= Principal(1+ rate/number of times calculated) raised to the power of the rate times the number of times its calculated per period. Just google the compound interest formula to see it. 
 

So if it’s calculated monthly, n=12 and if is 10 years than that is t. The final amount is 14,000. R= 0.08

So you do the (1+.0.08/12)^12*10 part and then divide it away on both sides to isolate P. Not sure if you follow that but the answer should be around $1290 if you did right.

 
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1 )Find the initial amount invested at 8% interest compounded monthly if after 10 years it grows to $14,000

2) Determine the annual rate of interest compounded continuously for the sum of money in an account to double in 10 years
9th grade algebra?  my final is tomorrow.   :lmao:   

 
1 )Find the initial amount invested at 8% interest compounded monthly if after 10 years it grows to $14,000

2) Determine the annual rate of interest compounded continuously for the sum of money in an account to double in 10 years
#2 - Rule of 72.  Funds will roughly double when the annual rate x number of years = 72.  So 10 years?  A little over 7%.   :coffee:

 
It’s entirely an exercise in following steps, paying attention to details and using logic.
nobody likes math.   :pickle:  

not knowing the steps, makes them difficult to follow.   :D  

and getting a 14 year old, to pay attention and use logic, is currently one of my main goals in life.   :banned:  

 
nobody likes math.   :pickle:  

not knowing the steps, makes them difficult to follow.   :D  

and getting a 14 year old, to pay attention and use logic, is currently one of my main goals in life.   :banned:  
Yeah that’s the battle in algebra and what I tell the kids all the time. It’s mental exercise. I liken it to football. Do the players bench press and jump through tires because they think the other team will put tires on the field or because a ref might ask them to bench 150 pounds before they count a TD? Of course not but it’s physical exercise to build strength and agility. Algebra is mental exercise to build mental strength and agility, focus, etc.

 
final should have been called graphing 101.  awful.  so useless in real life.
Yes and no. Depends what one plans on doing in life. It definitely sorts out people based on some pretty basic skills. Its also a training guide to thinking logically. 

 
Yes and no. Depends what one plans on doing in life. It definitely sorts out people based on some pretty basic skills. Its also a training guide to thinking logically. 
meh.  knowing slope intercept and what not, is a pretty narrow field. and in 9th grade, there's not of lot of clarity on what to do in life.  

i get the logical thinking part. 

 
meh.  knowing slope intercept and what not, is a pretty narrow field. and in 9th grade, there's not of lot of clarity on what to do in life.  

i get the logical thinking part. 
Yeah but it’s the basic entry into higher maths and if it’s a challenge, one can comfortably rule out careers that require high level maths. For many kids it just comes easy and they can keep challenging themselves to see how complex of stuff they can handle. Their is obviously a lot of career opportunity for people who are really adept at higher level math, coding, statistics, etc. which are all connected.

 
Ilov80s said:
The formula for compound interest is

Final amount= Principal(1+ rate/number of times calculated) raised to the power of the rate times the number of times its calculated per period. Just google the compound interest formula to see it. 
 

So if it’s calculated monthly, n=12 and if is 10 years than that is t. The final amount is 14,000. R= 0.08

So you do the (1+.0.08/12)^12*10 part and then divide it away on both sides to isolate P. Not sure if you follow that but the answer should be around $1290 if you did right.
I'm gonna need a price check on this. You're saying $1,290 would grow to $14,000 after 10 years at 8٪?

Using i used the same rule of 72 as mentioned by Tri-Man and only a napkin, I came up with an initial principle of about $6.5K.  ... 72/8 = 9 years to double, so after one year the new amount should be about 7K ... so work back one year from that.

Sincerely,

Beer 1.5

 
I'm gonna need a price check on this. You're saying $1,290 would grow to $14,000 after 10 years at 8٪?

Using i used the same rule of 72 as mentioned by Tri-Man and only a napkin, I came up with an initial principle of about $6.5K.  ... 72/8 = 9 years to double, so after one year the new amount should be about 7K ... so work back one year from that.

Sincerely,

Beer 1.5
Yep i did that in my head while multi tasking and clearly got wires crossed somewhere. It honestly may have been the answer another problem I was doing. I think I was helping 2 different kids with 2 different math classes while answering that question waiting on them to worm things out. It’s obviously a lot more than 1200. Don’t even need to calculate that. I think it’s closer $6500 though. 

thanks, 
2 bourbons 

 
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Yep i did that in my head while multi tasking and clearly got wires crossed somewhere. It honestly may have been the answer another problem I was doing. I think I was helping 2 different kids with 2 different math classes while answering that question waiting on them to worm things out. It’s obviously a lot more than 1200. Don’t even need to calculate that. I think it’s closer $6500 though. 

thanks, 
2 bourbons 
I have good news for you.  Mental faculties improve with age.

 

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