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vlada-n [284]
2 years ago
12

monthly payments of $75 are paid into an annuity beginning on January 31, with a yearly interest rate of 3%, compounded monthly.

Add the future values of each payment to calculate the total value of the annuity on september 1.
Mathematics
1 answer:
Crank2 years ago
6 0

The annuity on September 1 will be $621.43 if the monthly payments of $75 are paid into an annuity beginning on January 31, with a yearly interest rate of 3%

<h3>What is compound interest?</h3>

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

\rm A = P(1+\dfrac{r}{n})^{nt}

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We have:

Monthly payments of $75 are paid into an annuity beginning on January 31, with a yearly interest rate of 3%.

Value of annuity as of September 1 calculation:

From the table:

For Jan:

Jan 0 $75.00 1.07214 $80.41

For Feb

Feb 1 $75.00 1.06152 $79.61

And on September 1, the value of the annuity will be:    =

= $621.43

Thus, the annuity on September 1 will be $621.43 if the monthly payments of $75 are paid into an annuity beginning on January 31, with a yearly interest rate of 3%

Learn more about the compound interest here:

brainly.com/question/26457073

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Converting units is always an exercise in linear relationships. how many inches is 2.50 m? (2.54 cm=1.0 inch)
madam [21]

There are 98.4252 inches in 2.50m.

Unit Conversion is defined as a process that involves multiplication and division by a numerical factor or a particular conversion factor.

For Example .Convert 2m into cm.

As we know that 1m=100cm

multiplying both sides by 2 we get

2m = 200 cm.

According to the question

It is given that 2.54 cm = 1 inch

1cm = \frac{1}{2.54} inch

100cm=\frac{100}{254} inch

1m = \frac{100}{2.54} ( as 100cm = 1m)

we need 2.50 m So we multiply both sides by 2.50

2.50m=\frac{2.50*100}{2.54} \\\\  2.50m=\frac{250}{2.54}

2.50m=98.4252 inch

Therefore , there are 98.4252 inches in 2.50m.

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8 0
2 years ago
A certain triangle has two 45 degree angles, what type of triangle is it?
Shtirlitz [24]
This type of triangle is a right triangle which has two other acute angles which are equal to one another. This is because 45 is complementary to itself.

6 0
3 years ago
The height of the building is :
-Dominant- [34]
If we are using the same ratio which we should be then the answers should be 120 because 48 divided by 2 is 24 and 24 times 5 is equal to 120.
6 0
3 years ago
If log (m + n) = log m+log n, show that m =n/n-1​
Sedbober [7]

log (m + n) = log m+ log n and proved it m =n/n-1​

Given;

If log (m + n) = log m+ log n

To show that the m =n/n-1​

Now, According to the question:

We know that,

Log (m + n) = log m + log n

Log (m + n ) = log (mn).                 [log a + log b = log ab ]

Cancelling the log on both sides.

then,

m + n = mn

=> n = mn - m

=> n = m (n - 1)

=> m = n / n - 1

Hence Proved

log (m + n) = log m+ log n and proved it m =n/n-1​

What is Logarithm?

A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2.

Learn more about Logarithm at:

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3 0
1 year ago
Finf the exact value of sin A and cos A where a = 9 and b = 10 and &lt;c is a right angle
Katyanochek1 [597]
To solve for the longest side, the hypotenuse, you have to use the pythagorean theorem. It will be 10^2 + 9^2 = c^2. 100 + 81 =c^2. 
c^2 = 181 so c = sqrt(181).
to find sin of A do opposite/hypotenuse which gives you 9/sqrt(181)
to find cos of A do adjacent/hypotenuse which gives you 10/sqrt(181)

8 0
3 years ago
Read 2 more answers
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