Hosea borrowed $20,000 to buy a new speed boat. The interest rate on his loan is 5%. If he plans to pay the loan back in three years, how much interest will he pay? What will be the total cost that he will owe including interest?

Given:

A line passes through (1,-2) and is perpendicular to [tex]-4x+7y=21[/tex].

To find:

The equation of that line.

Solution:

We have, equation of perpendicular line.

[tex]-4x+7y=21[/tex]

Slope of this line is

[tex]m_1=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}[/tex]

[tex]m_1=-\dfrac{-4}{7}[/tex]

[tex]m_1=\dfrac{4}{7}[/tex]

Product of slope of two perpendicular lines is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]\dfrac{4}{7}\times m_2=-1[/tex]

[tex]m_2=-\dfrac{7}{4}[/tex]

Now, slope of required line is [tex]-\dfrac{7}{4}[/tex] and it passes through (1,-2). So, the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

[tex]y-(-2)=-\dfrac{7}{4}(x-1)[/tex]

[tex]4(y+2)=-7(x-1)[/tex]

[tex]4y+8=-7x+7[/tex]

[tex]4y+7x=7-8[/tex]

[tex]7x+4y=-1[/tex]

Therefore, the equation of required line is [tex]7x+4y=-1[/tex].

Answer:

Select the proportional relationship.

That is the only thing that is in the checkbox. It won't let you continue unless you get something.

Answer:

Please check the graph of the function y=-2x+5 attached below.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the function

[tex]y=-2x+5[/tex]

comparing with the slope-intercept form of the line equation

The slope m = -2

The y-intercept b = 5

The graph of y=-2x+5 is attached below.

Determining the y-intercept from the graph

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 5

Thus, the y-intercept b = 5

Please check the graph of the function y=-2x+5 attached below.

The simplified version of 3(9h + 4) is 27h + 12 because you are multiplying 3 and 9h to get 27h, and 4 and 3 to get 12

Hope this helped! :D

Answer:

27h + 12

Step-by-step explanation:

The simplified version of 3(9h + 4) is 27h + 12 because you are multiplying 3 and 9h to get 27h, and 4 and 3 to get 12

Answer:

The slope is 2/5

Step-by-step explanation:

Calculating the Slope of a Line

Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-5, -2) (5, 2). Let's compute the slope:

[tex]\displaystyle m=\frac{2-(-2)}{5-(-5)}[/tex]

[tex]\displaystyle m=\frac{4}{10}[/tex]

Simplifying:

[tex]\displaystyle m=\frac{2}{5}[/tex]

The slope is 2/5

..............................

x=-9/2

x=-3/4

x = 6

y = 21

y = 2x + 9

y = 4x - 3

2x + 9 = 4x - 3

• Get the like-terms together:

9 + 3 = 4x - 2x

12 = 2x

• Divide 2x and 12 by 2 (to get x by itself):

12 ÷ 2 = 2x ÷ 2

6 = x OR x = 6

• To find the value of y, we have to substitute x into one of the equations (it doesn't matter which equation you plug x into, if the value of x is correct, both will equal the same number):

y = 2(6) + 9

y = 12 + 9

y = 21

y = 4(6) - 3

y = 24 - 3

y = 21

Please mark me the Brainliest!?!

Answer:

3 2/11

Step-by-step explanation:

4 3/8 = 4 + 3/8 = 32/8 + 3/8 = 35/8

1 3/8 = 1 + 3/8 = 8/8 + 3/8 = 11/8

then:

4 3/8 ÷ 1 3/8 = (35/8) / (11/8) = 35/11

35/11 = 33/11 + 2/11 = 3 2/11

Answer:

[tex]4 \frac{3}{8} \div 1 \frac{3}{8} = \frac{35}{8} \div \frac{11}{8} = \frac{35}{8} \times \frac{8}{11} = \boxed{\frac{35}{11} }[/tex]

Answer:

5 inches

Step-by-step explanation:

hypotenuse (h)=13

perpendicular (p)=12

base(b)=√h^2-b^2

=√169-144

=√25

=5

Answer:

A:3

Step-by-step explanation:

replace y by 4..so it would be 4-1=3

Answer:

(4,-2)

Step-by-step explanation:

you could use substitution and all that, but i use desmos

Answer:

not at all

Step-by-step explanation:

Answer:

Step-by-step explanation:

9.25 pounds

Answer:

Step-by-step explanation:

I hope you dont have to show your work because I am not showing how you do all of those aha.

part 1:

1. p=72, a= 612

2. p=194, a= 32.5

3. p=300, a= 1500

4. p=221, a= 35

and um... I dont know how to do part two. sorry

Answer:

3 y + g y

Step-by-step explanation:

Answer:

800 ; 20% ; 4 years

Step-by-step explanation:

Actual price of item = $4000

Total amount paid in installment = ($100 * 48) = $4800

Finance charge = total amount paid in installment - actual price

Finance charge = $4800 - $4000 = $800

B) Interest percent rate, r :

r% of 4000 = 800

0.01r * 4000 = 800

40r = 800

r = 800/40

r = 20

r = 20%

C.)

Time in years ; for 48 months

T = 48/12 ; T = 4 years

Answer:

155°

Step-by-step explanation:

x + 25° = 180° {Being linear pair }

x = 180° - 25°

Therefore x = 155°

Hope it will help :)

Answer:

155⁰

Step-by-step explanation:

Total angle on a straight line = 180⁰

: 25⁰ + x⁰ = 180⁰

x⁰ = 180⁰ - 25⁰

x⁰ = 155⁰

Answer:

Step-by-step explanation:

5degrees

Answer:

30 eggs

Step-by-step explanation:

multiply 5 times 6

Answer:

9

Step-by-step explanation:

-6+2y=12

+6 +6

2y=18

2 2

9

Answer:

Step-by-step explanation:

Answer: Simple interest = $5,500

Step-by-step explanation:

Interest formula:

I = prt

Convert 5% to 0.05

I = 22,000 × 0.05 × 5 = 5,500

I = $5,500.00

Answer:17.5 $

Step-by-step explanation:

3 7/8+4 3/8 *2

Answer:

thirteen sixteenths

Step-by-step explanation:

Three eighths plus seven sixteenths equals blank

3/8 + 7/16 = ?

= (2*3)+(1*7)/16

= (6+7)/16

= 13/16

13/16 is equivalent to thirteen sixteenths

Answer:

21=x ( alternate angles are equal)

Answer:

It's not a right triangle because [tex]16^{2} + 18^{2} > 24^{2}[/tex]

Step-by-step explanation:

[tex]16^{2} + 18^{2} > 24^{2}[/tex]

[tex]16^{2} = 256\\\\18^{2} = 324\\\\256 + 324 = 580\\\\580>24^{2} \\\\24^{2} = 576\\\\580>576[/tex]

Hope this helped!!!!!

Answer:

ah yes mama

Step-by-step explanation:

Answer:

honestly same

Step-by-step explanation:

Answer:

a i think but im not sure

Step-by-step explanation: