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MrMuchimi
3 years ago
12

Find an equation of the line passing through the point (5,4) and parallel to the line whose equation is 2x+y=3

Mathematics
1 answer:
Fynjy0 [20]3 years ago
6 0

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)    you have :  x_1 =5  and  y_1 =4

m the slope  m= -2 (same slope for the line : 2x+y=3 because this lines are parallel and you can write y=-2x+3

an equation for this line is : y-4 = -2(x-5)

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Sarah took out a $30,000 loan for 11 years at a 4.7% interest rate to put a new pool in her backyard. If
MissTica

The amount of the loan after 11 years is $34,113.53 and the intereest earned is $4,113.53

<h3>How to calculate the compound interest</h3>

The formula for calculating the exponential function is expressed as:

A =P(1+\frac{r}{n} )^t

Given the following

  • P = 30,000
  • r = 0.047
  • t = 11 years
  • n = 4

Substitute into the formula to have:

A=30000(1+\frac{0.047}{4} )^{11}\\A =30000(1.13711)\\A =\$34,113.53

Hence the amount of the loan after 11 years is $34,113.53

<h3>Find the interest earned</h3>

Interest = A - P

Interest = 34,113.53 - 30000

Interest = 4,113.53

Hence the intereest earned is $4,113.53

Learn more on compound interest here: brainly.com/question/24924853

7 0
2 years ago
A factory makes light fixtures with right regular hexagonal prisms where the edge of a hexagonal base measures 4 cm and the leng
chubhunter [2.5K]

The maximum length of the prism is highest length of the hexagonal prism

The maximum length of each prism is 8.0 cm

<h3>How to determine the maximum length of each prism?</h3>

The surface area of the hexagonal prism is calculated using:

A = 6al + 3\sqrt3 a^2

Where:

a represents the edge length; a = 4 cm

l represents the length (or height) of the prism

The surface area costs $0.04 per square centimeter.

So, we have:

C = 0.04 * [6al + 3\sqrt3 a^2]

The maximum cost is $11.

So, the equation becomes

11 = 0.04 * [6al + 3\sqrt3 a^2]

Substitute 4 for a

11 = 0.04 * [6 * 4l + 3\sqrt3 * 4^2]

Evaluate the products and exponents

11 = 0.04 * [24l + 48\sqrt3]

Divide both sides by 0.04

275 = 24l + 48\sqrt3

Subtract 48\sqrt3 from both sides

24l = 275 - 48\sqrt3

Evaluate the difference

24l = 191.9

Divide both sides by 24

l = 8.0

Hence, the maximum length of each prism is 8.0 cm

Read more about surface areas at:

brainly.com/question/6613758

6 0
2 years ago
Jackson's front door is 42 inches wide and 84 inches tall. He got a circular table with a 96 inch diameter. Will he be able to f
chubhunter [2.5K]
NO,  

42 inches wide
<span>height = 84 </span>
Diagonal=square root of ((42*42)+(84*84))=sq root 8820=93.91
<span>She purchased a circular table that is 96 inches in diameter. </span>
as the table is more in than the diagonal,
it will not fit through the door.
<span>Answer: No</span>
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3 years ago
Lisa's penny bank is
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1200 pennies!!!!!!!!!
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3 years ago
What is the gcf of 9 and 36​
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Answer:

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