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3 years ago

8

What is the total amount and the amount of interest earned on $5,000 at 8% for 20 years? Total Amount Interest Amount compounded

annually compounded semiannually compounded quarterly

1 answer:

Lina20 [59]3 years ago

3 0

Answer:

final balance = 24,634.02

compound interest = 19,634.02

Step-by-step explanation:

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Given: A, B, and C What is the value of X in the matrix equation AX + B = C?

Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

$A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}$

$B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}$

$C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}$

AX + B = C

AX = C - B

C - B = $\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}$ = $\begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}$

C - B = $\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}$

Let $X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}$

AX = $\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}$

= $\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}$

Since AX = C - B

$\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}$

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = $\begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix}$ will be the answer.

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3 years ago

Which is more valuable a pile of pennies equaling your weight or a stack of quarters equaling your height?

11Alexandr11 [23.1K]

Answer:

A pile of pennies

Step-by-step explanation:

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3 years ago

Lucy and Emily are racing with each other and Lucy is 90

Zina [86]

Using the <em>system of equation</em> created, Emily will catch up Lucy after 30 seconds

Given the Parameters :

Lucy's distance = 2t
Emily's distance = 5t

<u>We can set up an equation to represent the required scenario thus</u> :

Emily's distance = Lucy's distance + 90

5t = 2t + 90

We solve for t

<em>Collect like terms</em> :

5t - 2t = 90

3t = 90

Divide both sides by 3 to isolate t

t = 90/3

t = 30

Therefore, Emily will catch up with Lucy after 30 seconds

Learn more :brainly.com/question/13218948

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2 years ago

If AC is parallel to DF, what is the measure, in degrees, of ∠ABD

Kamila [148]

Answer:

Yes it is parellell

Step-by-step explanation:

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4 years ago

Identify the number of terms in the expression. Type the answer in the space provided.

wlad13 [49]

Answer:

3

Step-by-step explanation:

The terms are separated by the "-"

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3 years ago