Ask question

Ask question

All categories

3 years ago

12

The Marriott family bought a new apartment three years ago for $65,000. The apartment is now worth $86,515. Assuming a steady ra

te of growth, what was the yearly rate of appreciation?

1 answer:

kirill [66]3 years ago

7 0

The answer is $<span>7171.66.</span>

You might be interested in

What ratios are equivalent to 1:7

lesya692 [45]

2:14 3:21 etc. all you have to do is for every 1 you add to the front number add 7 more to the second number

3 0

2 years ago

Read 2 more answers

Please Help!!!!! I need the answer for my quiz!!!!

kondaur [170]

Answer:

I think its 3 1/4

Step-by-step explanation:

9 3/4 ÷ 3 = 3 1/4

Srry if im wrong

3 0

3 years ago

Read 2 more answers

This is Matrix for pre calc

gavmur [86]

The given system of equations in augmented matrix form is

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\-6&1&2&4&-12\\1&-3&-3&5&-20\\-2&5&6&0&12\end{array}\right]$

If you need to solve this, first get the matrix in RREF:

Add 2(row 1) to row 2, row 1 to -3(row 3), and 2(row 1) to 3(row 4):

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&11&5&-13&37\\0&19&10&4&-10\end{array}\right]$

Add 11(row 2) to -5(row 3), and 19(row 1) to -5(row 4):

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&-91&153&-823\\0&0&-164&132&-1052\end{array}\right]$

Add 164(row 3) to -91(row 4):

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&-91&153&-823\\0&0&0&13080&-39240\end{array}\right]$

Multiply row 4 by 1/13080:

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&-91&153&-823\\0&0&0&1&-3\end{array}\right]$

Add -153(row 4) to row 3:

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&-91&0&-364\\0&0&0&1&-3\end{array}\right]$

Multiply row 3 by -1/91:

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]$

Add 6(row 3) and -8(row 4) to row 2:

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&0&0&-10\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]$

Multiply row 2 by 1/5:

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&1&0&0&-2\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]$

Add -2(row 2), 4(row 3), and -2(row 4) to row 1:

$\left[\begin{array}{cccc|c}3&0&0&0&3\\0&1&0&0&-2\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]$

Multiply row 1 by 1/3:

$\left[\begin{array}{cccc|c}1&0&0&0&1\\0&1&0&0&-2\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]$

So the solution to this system is $(w,x,y,z)=(1,-2,4,-3)$ .

6 0

3 years ago

A ladder is leaning against a wall. The top of the ladder is 9 feet (ft) above the ground. If the bottom of the ladder is moved

Komok [63]

Step 1

<u>First situation</u>

when a ladder is leaning against a wall

Let

x-------> the distance of the bottom of the ladder from the wall

L-------> the length of the ladder

<u>Find the length of the ladder</u>

Applying the Pythagorean Theorem

$L^{2} =x^{2}+ 9^{2}$ ------> equation $1$

Step 2

<u>Second situation</u>

when the ladder will be lying flat on the ground

<u>Find the length of the ladder</u>

In this situation the length of the ladder is equal to

$L=x+3$

square both sides

$L^{2}=(x+3)^{2}$ ------> equation $2$

Step 3

equate equation $1$ and equation $2$

$x^{2}+ 9^{2}=(x+3)^{2}\\x^{2}+81=x^{2} +6x+9\\ 6x=81-9\\6x=72\\x=12\ ft$

therefore

<u>the answer is</u>

the length of the ladder is $12\ ft$

see the attached figure to better understand the problem

5 0

3 years ago

If m angle ACB=30 and m angle A=80 , find m angle B

larisa86 [58]

Angle b=180-angleaacb-angle a
angle b=70

4 0

2 years ago

Read 2 more answers