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Leya [2.2K]
3 years ago
7

In order to have 6,000,000 in 40 years with a 5.75% rate. how much should be deposited each month?

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Answer:

Step-by-step explanation:

This is an Annuity question. It is asking for recurring monthly payment(PMT).  <em>You can use a financial calculator to solve it. I am using (Texas Instruments BA II plus)</em>

Since the payments occur monthly , adjust the interest rate to monthly rate and multiply  40 years by 12 since we have 12 months in a  year<em>.</em>

Total duration of investment ; N = 40*12 = 480

Interest rate; I/Y = 5.75% /12 = 0.4792%

Future value; FV = 6,000,000

Present value ; PV = 0

then CPT PMT = 3,222.912

Therefore $3,222.91  should be deposited each month to achieve the goal.

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Write a polynomial function, p(x) with degree 3 that has p(7)=0
MArishka [77]

Answer:

p (x) = x^{3} - 21x^{2}+ 147x - 343

is the required polynomial with degree 3 and p ( 7 ) = 0

Step-by-step explanation:

Given:

p ( 7 ) = 0

To Find:

p ( x ) = ?

Solution:

Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.

Therefore zero's of the polynomial is seven i.e 7

Degree : Highest raise to power in the polynomial is the degree of the polynomial

We have the identity,

(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}

Take a = x

        b = 7

Substitute in the identity we get

(x -7)^{3} = x^{3}-3x^{2}(7) +3x(7)^{2} - 7^{3}\\(x -7)^{3} = x^{3}-21x^{2} +147x - 343

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.

p ( 7 ) = 7³ - 21×7² + 147×7 - 7³

p ( 7 ) = 0

p (x) = x^{3} - 21x^{2}+ 147x - 343

4 0
3 years ago
How can I find the volume of this prism? Helpp
Alex

Answer:

152.971

Step-by-step explanation:

i think thats the answer but sorry if its not.

5 0
3 years ago
Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by t
Neko [114]

Answer:

n10^x = 0.1515x

Step-by-step explanation:

Required

Translate the statements to algebraic expression

Represent the power with x;

So, the left hand side is

<em>Power of 10: </em>10^x<em />

<em>Times n: </em>10^x * n<em />

<em />

The right hand side is:

<em>0.1515 * power of 10: </em>0.1515 * x<em />

Equate the right hand side to the left:

10^x * n = 0.1515 * x

n10^x = 0.1515x

Hence;

<em>The required expression is </em>n10^x = 0.1515x<em />

5 0
3 years ago
HELP ASAP <br><br> solving the identity, tan (A) =
Luba_88 [7]

Answer:

Its  7/3 or the second one

Step-by-step explanation:

3 0
3 years ago
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Natali5045456 [20]
The correct answer would be 6
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3 years ago
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