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Dvinal [7]
2 years ago
8

Math pls patulong

Mathematics
1 answer:
Nataly [62]2 years ago
6 0

Using compound interest, it is found that:

  • With interest compound quarterly, the balance is of Php 5,804.
  • With interest compound annually, the balance is of Php 5,796.
  • Due to the higher balance, the quarterly compound gives the higher interest.

<h3>Compound interest: </h3>

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

  • A(t) is the amount of money after t years.  
  • P is the principal(the initial sum of money).  
  • r is the interest rate(as a decimal value).  
  • n is the number of times that interest is compounded per year.  
  • t is the time in years for which the money is invested or borrowed.

In this problem:

  • Rate of 3%, hence r = 0.03.
  • Compounded quarterly, hence n = 4.
  • Initial deposit of 50000, hence P = 50000.
  • Five years, hence t = 5.

Then, the balance is:

A(5) = P\left(1 + \frac{r}{n}\right)^{nt}

A(5) = 5000\left(1 + \frac{0.03}{4}\right)^{4(5)}

A(5) = 5804

With interest compound quarterly, the balance is of Php 5,804.

Now, with annual interest, we have that n = 1, and:

A(5) = P\left(1 + \frac{r}{n}\right)^{nt}

A(5) = 5000\left(1 + \frac{0.03}{1}\right)^{1(5)}

A(5) = 5796

With interest compound annually, the balance is of Php 5,796.

Due to the higher balance, the quarterly compound gives the higher interest.

To learn more about compound interest, you can take a look at brainly.com/question/25781328

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the more years the money stays invested, the more interest it earns, so clearly, if the compounding cycle is the same for both options, and the rate of 7% is the same as well for both, then the one with more years will give more interest..

so depends on what "best" means in this context, but if it's more interest earned, 3 years gives more interest than 2 years of course.

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3 years ago
four spheres of radius 6cm fit into a cylinder with a height of 12cm. calculate the volume inside the cylinder that is empty. le
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Volume can be defined as the <u><em>capacity of a given container or a certain object.</em></u>

The radius of the cone is 2 inches.

From the question, we are given the following parameters:

<em>The height of the cone = 12 inches</em>

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