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aivan3 [116]
4 years ago
6

Write an equation for the line that is parallel to the given line and passes through the given point Y= 1/2 x -8

Mathematics
1 answer:
nadya68 [22]4 years ago
7 0
If the line is parallel to the given line, it would have the same slope so we would have y=(1/2)x +b so far. Now to find out what b is, we would plug in the given point so the equation would be -17=(1/2)(-6)+b. We can then simplify this, making -14=b. The equation is y=(1/2)x-14
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Total cost and interest for a loan
Zinaida [17]

Answer:

The total cost was $ 15,042.52, and the interest percentage applied on the loan was 8.22%.

Step-by-step explanation:

Given that to purchase $ 13,900 worth of lab equipment for her business, Amy made a down payment of $ 1900 and took out a business loan for the rest, and after 3 years of paying monthly payments of $ 365.07, she finally paid off the loan to determine the total cost and interest applied on the loan, the following calculation must be made:

(365.07 x 12 x 3) + 1900 = Total cost

4,380.84 x 3 + 1900 = Total cost

13,142.52 + 1900 = Total cost

15,042.52 = Total cost

13900 = 100

15042.52 = X

15042.52 x 100/13900 = X

1,504,252 / 13,900 = X

108.22 = X

Therefore, the total cost was $ 15,042.52, and the interest percentage applied on the loan was 8.22%.

5 0
3 years ago
Which exponential equation is equivalent to the logarithmic equation below? <br><br> 4= ln x
ra1l [238]
The exponential function equivalent to 4=ln x will be evaluated as follows:
from 
4=ln x
introducing the exponential function
e^4=e^(lnx)
but
e^(lnx)=x
thus
e^4=x
answer:
e^4=x
5 0
4 years ago
A survey was taken of a certain number of pet owners, asking about the weight of their dogs in pounds.
Dmitrij [34]

Answer:

B. The median weight of the dogs in the survey is 57 pounds

Step-by-step explanation:

4 0
3 years ago
Factorise <br><br>3a^2+8a+4<br><br><br>someone help​
lana66690 [7]

Answer:

(3a+2) (a+2)

Step-by-step explanation:

3a²+8a+4

ur sum is 8

ur product is 12

6x2 = 12

6+2=8

3a²+6a+2a+4

3a(a+2)+2(a+2)

(3a+2) (a+2)

7 0
3 years ago
Read 2 more answers
Solve the system of equation by guess sidle method
lilavasa [31]

Answer: The solution is,

x_1\approx 0.876

x_2\approx 0.419

x_3\approx 0.574

Step-by-step explanation:

Given equations are,

8x_1 + x_2 + x_3 = 8

2x_1 + 4x_2 + x_3 = 4

x_1 + 3x_2 + 5x_3 = 5,

From the above equations,

x_1=\frac{1}{8}(8-x_2-x_3)

x_2=\frac{1}{4}(4-2x_1-x_3)

x_3=\frac{1}{5}(5-x_1-3x_2)

First approximation,

x_1(1)=\frac{1}{8}(8-(0)-(0))=1

x_2(1)=\frac{1}{4}(4-2(1)-(0))=0.5

x_3(1)=\frac{1}{5}(5-1-3(0.5))=0.5

Second approximation,

x_1(2)=\frac{1}{8}(8-(0.5)-(0.5))=0.875

x_2(2)=\frac{1}{4}(4-2(0.875)-(0.5))=0.4375

x_3(2)=\frac{1}{5}((0.875)-3(0.4375))=0.5625

Third approximation,

x_1(3)=\frac{1}{8}(8-(0.4375)-(0.5625))=0.875

x_2(3)=\frac{1}{4}(4-2(0.875)-(0.5625))=0.421875

x_3(3)=\frac{1}{5}(5-(0.875)-3(0.421875))=0.571875

Fourth approximation,

x_1(4)=\frac{1}{8}(8-(0.421875)-(0.571875))=0.875781

x_2(4)=\frac{1}{4}(4-2(0.875781)-(0.571875))=0.419141

x_3(4)=\frac{1}{5}(5-(0.875781)-3(0.419141))=0.573359

Fifth approximation,

x_1(5)=\frac{1}{8}(8-(0.419141)-(0.573359))=0.875938

x_2(5)=\frac{1}{4}(4-2(0.875938)-(0.573359))=0.418691

x_3(5)=\frac{1}{5}(5-(0.875938)-3(0.418691))=0.573598

Hence, by the Gauss Seidel method the solution of the given system is,

x_1\approx 0.876

x_2\approx 0.419

x_3\approx 0.574

4 0
3 years ago
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