The slope of the line below is -4. Which of the following is the point-slope

Marianna [84]

Hey..... Nice to see you :)
Let me help you out.

-3|6n -2| + 5 = 8
-3|6n -2| = 8-5
-3|6n -2| = 3
|6n -2| = 3/-3
|6n -2| = -1
Now, solve absolute value
No solutions.

Because absolute value cannot be less than 0.

I hope that's help !

5 0

2 years ago

Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra $28,000 over the next 6 year

Anna35 [415]

Given:

• Amount to save, A = $28,000

,

• Time, t = 6 years

,

• Interest rate, r = 5.3% ==> 0.053

,

• Number of times compounded = quarterly = 4 times

Let's find the amount that must be deposited into the account quarterly.

Apply the formula:

$FV=P(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})$

Where:

FV is the future value = $28,000

r = 0.053

n = 4

t = 6 years

Thus, we have:

$28000=P(\frac{(1+\frac{0.053}{4})^{4\times6}-1)}{\frac{0.053}{4}}$

Let's solve for P.

We have:

$\begin{gathered} 28000=P(\frac{(1+0.01325)^{24}-1}{0.01325}) \\ \\ 28000=P(\frac{(1.01325)^{24}-1)^{}}{0.01325}) \\ \\ 28000=P(\frac{1.371509114-1}{0.01325}) \\ \\ 28000=P(\frac{0.371509114}{0.01325}) \end{gathered}$

Solving further:

$28000=P(28.0384237)$

Divide both sides by 28.0384237:

$\begin{gathered} \frac{28000}{28.0384237}=\frac{P(28.0384237)}{28.0384237} \\ \\ 998.6=P \\ \\ P=998.6 \end{gathered}$

Therefore, the amount that must be deposited quarterly into the account is $998.60

ANSWER:

$998.60

8 0

5 months ago

Erin buys a bag of peanuts that weighs 3/4 of a pound.Later that week, the bag is 2/3 full.How much does the bag of peanuts weig

dusya [7]

So he started with 3/4 lb and ended up with 2/3 of that so 2/3 of 3/4

'of' can be roughly translated as multiply

so 2/3 times 3/4 =6/12=1/2 lb left

or you know that there are 3 out of 4 parts pound left so 2 out of 3 parts of nuts is = 2/4 or 1/2 lb

6 0

2 years ago

Best definition combining like terms

makkiz [27]

A letter that holds the place for some unknown value in mathematics VARIABLE A process where you must look for terms that have identical variable parts and then combine their coefficients. COMBINING LIKE TERMS

7 0

2 years ago

Two complementary angles are in the ratio 7:8. What is the measure of the larger angle?

yan [13]

Answer

Step-by-step explanation:

We know that sum of complementary angle adds to 90°

Let the angles be 7x and 8x

First of all, finding the value of x

$\sf{7x + 8x = 90 °}$