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Ne4ueva [31]
3 years ago
15

Seth’s parents gave him $5000 to invest for his 16th birthday. He is considering two investment options. Option A will pay him 4

.5% interest compounded annually. Option B will pay him 4.6% compounded quarterly. 1) Write a function of option A and option B that calculates the value of each account after n years. 2) Seth plans to use the money after he graduates from college in 6 years. Determine how much more money option B will earn than option A to the nearest cent. 3) Algebraically determine, to the nearest tenth of a year, how long it would take for option B to double Seth’s initial investment.
Mathematics
1 answer:
umka21 [38]3 years ago
5 0

Answer:

1) Function of option ,A=5000(1.045)^t

option B =5000(1.0115)^(4t).

2)After 6 years, how much more money option B will earn than option A is   67.57 $.

3)It  would take 15 years for option B to double Seth’s initial investment.

Step-by-step explanation:

Given:

Initial Investment=5000$

Option A(rate)= 4.5% .....annually

Option B(rate)=4.6 %..........Quarterly

To Find:

1)Write a function of option A and option B

2)After 6 years, how much more money option B will earn than option A

3) how long it would take for option B to double Seth’s initial investment.

Solution:

To write the function use formula of compound interest as ,

A=P(1+r)^t

For option A ,P=5000$ r=4.5 % annually

A=5000(1+0.045)^t

A=5000(1.045)^t

For Option B ,P=5000$ r=4.6 % Quarterly

B=5000(1+0.046/4)^(4t)

B=5000(1+0.0115)^(4t)

B=5000(1.0115)^(4t)

2)After 6 years, how much more money option B will earn than option A,

Here t=6 so Above equation will be ,

A=5000(1.045)^t

A=5000(1.045)^6

A=6511.30 $ $

For Option B

B=5000(1.0115)^ 4*6

B=5000(1.0115)^(24)

B=6578.87 $

B will earn more money as

<em>therefore </em> B -A

=6578.67 -6511.30

=67.57 $

3)how long it would take for option B to double Seth’s initial investment

By doubling the invest i.e  for 10000 $  how much time will required.

So B=10000$ , P=5000$  and r= 4.5 % Quarterly

10000=5000(1.0115)^4t

2=(1.0115)^4t

Using the definition of the logarithm as ,

4t=Log2 with base 1.0115..........<em>... </em><em>use this in calculator</em>

4t=60.62

t=15.155 years

i.e, t=15 years.

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Step-by-step explanation:

Bisection of an angle implies dividing the angle into two equal parts. The ray that divides the angle is called a bisector.

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If the length of AO is double the length of CO, the length of BO is?
andreev551 [17]

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Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.

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A data set contains three points, and two of the residuals are 7 and -3. What 7
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The data set in discuss which contains three points and two of the residuals are 7 and -3 would have its third residual as; -4.

<h3>What is the third residual if the data set characterized as having 2 of its three residuals to be; 7 and -3?</h3>

According.tinthe task content, the data set in discuss has three points and consequently should have three residuals.

Additionally, two of the three residuals have been given and on this note, it follows that the third residual must have a value such that the algebraic sum of all residuals is 0.

Hence, we have; -3 + 7 +x = 0;

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Ultimately, the third residual is; -4.

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brainly.com/question/27733055

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Answer:

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Step-by-step explanation:

You have the full question but due lack of spacing it looks incomplete, thus the full question with spacing is:

Find a parametric representation for the part of the cylinder y^2+z^2 = 49, that lies between the places x = 0 and x = 1.

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Thus the goal of the exercise is to complete the parameterization and find the equation for z and complete the interval for u

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Since x goes from 0 to 1, and if x = u, we can write the interval as

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Equation for z.

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Factoring

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So then we can apply Pythagorean Theorem:

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Thus replacing on the exercise we get

z^2 = 49\sin^2 (v)

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Have a good day :)                                                                                                                        

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