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3 years ago

Could someone please explain to me how to solve this question?

Mathematics

1 answer:

Maksim231197 [3]3 years ago

5 0

Answer:

$y+2 = x+2$

Step-by-step explanation:

A line is written in the point-slope form if its equation is in the form

$y-y_1 = m(x-x_1)$

where

$m=\frac{y_2-y_1}{x_2-x_1}$ is the slope of the line, calculated using the two points $(x_1,y_1)$ and $(x_2,y_2)$

In this problem, we have the following two points:

$(x_1,y_1) = (-2,-2)\\(x_2,y_2)=(2,2)$

Therefore we can calculate the slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-2)}{2-(-2)}=\frac{4}{4}=1$

And so, the equation of the line in point-slope form is

$y-(-2) = 1(x-(-2))\\\rightarrow y+2 = x+2$

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You are planning to invest $5000 in an account earning 9% per year for retirement. a. If you put the $5000 in an account at age

ICE Princess25 [194]

Answer:

A).Amount = $218250

B). Amount = $88700

Step-by-step explanation:

A) .$5000 in an account at age 23, and withdraw it 42 years

Number of years t= 42 years

Principal P = $5000

Rate r= 9%

Number of times compounded n= 42

A= p(1+r/n)^(nt)

A= 5000(1+0.09/42)^(42*42)

A= 5000(1+0.002143)^(1764)

A= 5000(1.002143)^1764

A= 5000(43.65)

A= 218250

Amount = $218250

B).waits 10 years before making the deposit, so that it stays in the account for only 32 years

Number of years t= 32 years

Principal P = $5000

Rate r= 9%

Number of times compounded n= 32

A= p(1+r/n)^(nt)

A= 5000(1+0.09/32)^(32*32)

A= A= 5000(1+0.0028125)^(1024)

A= 5000(1.0028125)^1024

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A= 88700

Amount = $88700

5 0

2 years ago

Diane deposits $7000 into an account that pays simple interest at a rate of 6% per year. How much interest will she be paid in t

Mars2501 [29]

Answer:

1,260

Step-by-step explanation:

6x3=18 7000÷18=1,260

8 0

3 years ago

Read 2 more answers

Can someone tell me the slope ?

borishaifa [10]

Answer:

slope = 4

Step-by-step explanation:

We can find the slope of a line when knowing 2 points by using the slope formula, $\frac{y_2 - y_1}{x_2 - x_1}$ . $x_1$ and $y_1$ represent the x and y values of the first point, respectively. $x_2$ and $y_2$ represent the x and y values of the second point, respectively.

The two points we have are (2,8) and (0,0). So, in this case, $x_1$ = 2, $y_1$ = 8, $x_2$ = 0, and $y_2$ = 0. Let's substitute those values into the formula and solve to get the slope:

$m =$ $\frac{0-8}{0-2}$