Larry has taken out a loan for college. He started paying off the loan with a first payment of $150. Each month he pays, he wants to pay back 1.3 times as the amount he paid the month before. Explain to Larry how to represent his first 15 payments in sigma notation. Then explain how to find the sum of his first 15 payments, using complete sentences. Explain why this series is convergent or divergent.

Answers

Answer 1

Answer: 14
Σ [(1.3^n) * (150)]
n = 0

Using the sigma notation to find the sum of his first 15 payments, each of the possible values of n (from 0 to 14) are substituted into the equation. After which, each of the results are then added to each other. Also, the problem states that only the first 15 payments are to be included in the notation. This shows that the series is limited and is finite. Therefore, it is a convergent series.

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True or False. A sinusoid is a function whose values repeat based on positions of a point that moves around a circle.

Answers

The correct answer is:

True.

Explanation:

A sinusoidal function is based on the sine function, or sine wave.

The sine wave repeats based on its period. The period of the sine function is 2π, or 360°. Depending on the transformations applied to the function, the period of the transformed function may be different, but will always be based around this idea of repeating every 2π radians.

Since 2π = 360°, this corresponds with a circle. This means the graph repeats based on positions of a point that move around a circle.

Answer:

True

Step-by-step explanation:

A.P.E.X.

I need help plsssd it’s algebra

Answers

I would say B

Hope I helped :)

4 (a2+b+c) a=-3 b=9 c=4

Answers

First, you should substitute a, b, and c with -3, 9, and 4, so you get 4(-3(2)+9+4)

Next, following PEMDAS, you solve everything in the (,), leaving you with 4(7).

Lastly, your answer is 28.

Solve equation for the given variable 7x + 18 = -24

Answers

ok, the first thing we need to do it to isolate the variable.

7x+18=-24
-18 -18
7x=-42

then divide to cancel out multiplication

7x=-42
--- ---
7 7

x=-6

7x + 18 = -24

Take 18 to the other side.
7x + 18 - (18) = -24 - (18)
7x = -42

Divide both sides by 7:
$(7x)/(7)$ = $-(42)/(7)$
7 and 7 cancels out

x = -6

Simplify (x-4) (x^2 + 3x + 2)

Answers

Answer:

x^3-x^2-10x-8

Multiply each term in the first expression by each term in the second expression and combine like terms.

Ryker is given the graph of the function y= 1/2x^2 - 4 . He wants to find the zeros of the function but is unable to read them exactly from the graph. Find the zeros give answer to nearest tenth

Answers

Answer:

x= 2.8 and x= -2.8

Step-by-step explanation:

$y=(1)/(2)x^2-4$

To find out the zeros, we replace x y with 0 and solve for x

$0=(1)/(2)x^2-4$

Add 4 on both sides

$4=(1)/(2)x^2$

Multiply by 2 on both sides

8= x^2

Now we take square root on both sides

x= +- $√(8)$

x=2.82843 and x=-2.82843

x= 2.8 and x= -2.8

$y=(1)/(2)x^2-4\n\nzeros\ when\ y=0\n\n(1)/(2)x^2-4=0\n\n(1)/(2)x^2=4\ \ \ \ /\cdot2\n\nx^2=8\n\nx=-\sqrt8\ and\ x=\sqrt8\n\n\underline{\underline{x\approx-2.8\ and\ x\approx2.8}}$

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