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3 years ago

Given a line segment that contains the points A,B, & C in order, if AB = 2x - 2, and BC = 2x + 10, and AC = 32, find x.

Mathematics

1 answer:

Vlad [161]3 years ago

3 0

Answer:

a. 6

Step-by-step explanation:

AB +BC =AC

2x-2+2x+10=32

4x+8=32

4x=32-8

4x=24

x=24/4

x=6

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If you need $8000 to travel to Europe after you graduate in 4 year. How much would your monthly deposits need to be if your acco

lina2011 [118]

$\bf \qquad \qquad \textit{Future Value of an ordinary annuity}\\
\left. \qquad \qquad \right.(\textit{payments at the end of the period})
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]$

$\bf \qquad 
\begin{cases}
A=
\begin{array}{llll}
\textit{accumulated amount}\\
\end{array}\to &
\begin{array}{llll}
8000
\end{array}\\
pymnt=\textit{periodic payments}\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly, thus twelve}
\end{array}\to &12\\
t=years\to &4
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$\bf 8000=pymnt\left[ \cfrac{\left( 1+\frac{0.05}{12} \right)^{12\cdot 4}-1}{\frac{0.05}{12}} \right]
\\\\\\
\cfrac{8000}{\left[ \frac{\left( 1+\frac{0.05}{12} \right)^{12\cdot 4}-1}{\frac{0.05}{12}} \right]}=pymnt\implies \cfrac{8000}{\frac{\left( \frac{241}{240} \right)^{48}-1}{\frac{1}{240}}}=pymnt
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6 0

3 years ago

What is the rate of change of the function y = − 1/4 x + 1

scoray [572]

Answer:

-1/4

Step-by-step explanation:

Hello!

The rate of change is also known as the slope.

Standard equation of a line: y = mx + b

y: output
m: slope
x: input
b: y-intercept

So, if we match the standard form to the given function:

y = mx + b
y = -1/4x + 1

-1/4 is m, or the rate of change.

8 0

2 years ago

I need help please! <br> 3/10×(−4/5)

Tems11 [23]

-0.24 should be the answer. idk i might be wrong. im not to great at math just i just used a calculator

6 0

2 years ago

Read 2 more answers

Write the equation 12 − y = 2x − 5 in slope-intercept form. What are the slope and y-intercept? A. y=2x−17,m=2, y-intercept (0,−

MrRissso [65]

Answer:

Step-by-step explanation:

12-y=2x-5

+5 +5 ( add 5 to both sides)

17-y=2x

-17 -17 (Subtract 17 to get y by itself)

-y=2x-17

divide by -1 because y cant be negative

y=-2x+17

m=-2 and y-intercept= 17

I hope thats right :)

8 0

2 years ago

The following table shows a portion of a five-year amortization schedule. A 5-year amortization schedule. Loan amount or princip

kogti [31]

The percentage of the payments made were due to interest is 32.6 %. Then the correct option is B.

<h3>What is the percentage?</h3>

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The following table shows a portion of a five-year amortization schedule.

A 5-year amortization schedule.

Loan amount or principal: 10,900 dollars.

The interest rate on loan: 10. 95 percent.

The table will be

Month Payment Principal Interest Balance

15 236.72 155.87 80.85 8704.27

16 236.72 157.29 79.43 8546.98

17 236.72 158.73 77.99 8388.25

18 236.72 160.18 76.54 8228.07

19 236.72 161.64 75.08 80.66.43

20 236.72 163.11 73.61 7903.32

Total payment = 6 × 236.72 = $ 1420.32

Total interest = 80.85 + 79.43 + 77.99 + 76.56 + 75.08 + 73.61

Total interest = $ 463.38

Then the percentage will be

$\rm Percentage = \dfrac{463.38}{1420.32}*100\\\\Percentage = 32.625 \approx 32.6\ \%$

More about the percentage link is given below.

brainly.com/question/8011401

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2 years ago