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SOVA2 [1]
3 years ago
8

Consider two​ investments, one earning simple interest and one earning compound interest. If both start with the same initial de

posit​ (and you make no other deposits or​ withdrawals) and earn the same annual interest​ rate, how will the balance in the simple interest account compare to that of the compound​ interest?
Mathematics
1 answer:
Len [333]3 years ago
6 0

Answer:

Ratio between balances will be:

(x*(1+i)*n)/(x*(1+i)^n)

Where;

x = deposit

%i = interest rate annual

n = years

Step-by-step explanation:

Lets say first deposit is x$ for both investment and annual interest rate for both investment are %i. Also, they stayed under i interest in n years:

Total balance for simple interest is:

Total balance=x*(1+i)*n

How ever total balance for compound interest is:

Total balance=x(1+i)^n

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90+8=x+k<br> x=72<br> k=?<br> help please
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Answer:

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James and Lucas competed in climbing a mountain and coming back. James climbed at an average rate of 3 mph and ran back at 4 mph
Bogdan [553]

It took 70 minutes for James to finish and 84 minutes for Lucas to finish and James was faster.

Step-by-step explanation:

Given,

Climbing rate of James = 3 mph

Running back rate of James = 4 mph

Climbing rate of Lucas = 2 mph

Running back rate = 5 mph

Total distance = 2 miles

We know that;

Distance = Speed * Time

As we have to find, we will rearrange the formula in terms of time

Time=\frac{Distance}{Speed}

Time took by James for climbing = \frac{2}{3}\ hours

Time took for running back = \frac{2}{4}\ hours

Total time = \frac{2}{3}+\frac{2}{4}=\frac{8+6}{12}=\frac{14}{12}

Total time taken by James = \frac{7}{6}\ hours

1 hour = 60

Total time taken by James = \frac{7}{6}*60=70\ minutes

Time took by Lucas for climbing = \frac{2}{2}=\ 1\ hour

Time took by Lucas for climbing = 60 minutes

Time took on return = \frac{2}{5} of\ an\ hour=\frac{2}{5}*60=24\ minutes

Total time taken by Lucas = 60+24 = 84 minutes

Therefore,

It took 70 minutes for James to finish and 84 minutes for Lucas to finish and James was faster.

Keywords: distance, speed

Learn more about distance at:

  • brainly.com/question/1021953
  • brainly.com/question/10480770

#LearnwithBrainly

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