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2 years ago

Use the compound interest formulas A=P1+

Mathematics

1 answer:

Bingel [31]2 years ago

5 0

The accumulated value of an investment if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously is $30731.4 $ , $30785.98 $30823.14 , 30841.95

<h3>What is Interest ?</h3>

Interest is the amount received by a person as a result of investing certain amount of money for a certain period of time.

It is given that

Principal = $ 25000

Time = 3 years

Interest Rate = 7 %

The amount is given by

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

Compounded semiannually

n = 2

Compounded Quarterly

n = 4

Compounded Monthly

n =12

Compounded Continuously

P = P₀ $\rm e ^{rt}$

Therefore the accumulated value for

compounded Semiannually is

$\rm A = 25000( 1+ \dfrac{7}{200}) ^{2*3}$

A = $30731.4

Compounded Quarterly

$\rm A = 25000( 1+ \dfrac{7}{400}) ^{4*3}$

A = $30785.98

Compounded Monthly

$\rm A = 25000( 1+ \dfrac{7}{1200}) ^{12*3}$

A = $30823.14

Compounded Continuously

$\rm P = 25000 e ^{ 7 * 3 }$

P = $30841.95

Therefore the accumulated value of an investment if the money is

a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously is

$30731.4 $ , $30785.98 $30823.14 , 30841.95

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Help!!

ioda

We might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

<h3>What is a sequence?</h3>

A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms).
The length of the series is defined as the number of items (which could be infinite).
Unlike a set, the same components can appear numerous times in a sequence at different points, and the order does important.
Formally, a sequence can be defined as a function from natural numbers (the sequence's places) to the elements at each point.
The concept of a sequence can be expanded to include an indexed family, which is defined as a function from an index set that may or may not contain integers to another set of elements.

Recursive formulas are commonly used to compute the nth term of a sequence, where a(n) is the sum of all the preceding values.

Using its position, explicit formulas can compute a(n).

Therefore, we might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

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7 0

2 years ago

Solve For Each Variable.

bixtya [17]

The first equation given $6=1-2n+5$

We have to add 1 and 5 to the right side first. We will get,

$6= 6 - 2n$

To get rid of 6 from the right side we have to subtract 6 from both sides.

$6-6 = 6-6-2n$

$6-6 = -2n$

$0=-2n$

To find n we have to move -2 to the other side by dividing both side by -2.

$0/-2 = -2n/-2$

$0= n$

$n=0$

So we have got the required answer for the first question.

The solution is n = 0.

The second equation given,

$8x-2 = -9+7x$

First we have to move 7x to the left side by subtracting it from both sides.

$8x-7x-2 = -9+7x-7x$

$8x-7x-2 = -9$

$x-2 = -9$

Now we have to move -2 to the right side by adding 2 to both sides.

$x-2+2 = -9+2$

$x = -9+2$

$x = -7$

We have got the required answer for the second question.

The solution is x = -7.

The third equation given,

$-8 = -(x+4)$

We have to get rid of that negative sign from both sides. As we have negative sign to both sides we can cancel it out. We will get,

$8=x+4$

Now we have to move 4 to left side by subtracting it from both sides.

$8-4 = x+4-4$

$8-4 = x$

$4=x$

$x = 4$

So we have got the required answer .

The solution is x = 4.

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3 years ago

Lynn takes her puppy, Olive, to a doggy daycare. The price for the daycare is $21 per day along with a monthly admission fee of

Lapatulllka [165]

Hello there!

We can use the following expression:

$426 ÷ $48 = d

Hope this helps! Tell me if I'm wrong!

~DL

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3 years ago

Read 2 more answers

Jakob is buying juice boxes for the after school program. On Monday, he purchases 4 apple juices and 1 berry juice for a total o

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Answer:

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3 years ago

A 150-unit apartment complex is infested with rats. The apartment caretaker checked 9 units and found the following number of ra

MA_775_DIABLO [31]

{2, 5, 3, 1, 0, 3, 7, 2, 2} is the data set. We can find this by finding <span>relative frequency of 3 = 2/9 = 0.22 and then 150 times .22 = 33 units</span>

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3 years ago