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aksik [14]
3 years ago
8

The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? *

Mathematics
1 answer:
rjkz [21]3 years ago
5 0
I think the answer is x=-3
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You have a total of ​$1760 to invest. Account A pays 7​% annual interest and account B pays 4​% annual interest. How much should
posledela

Answer:

You should invest $820 in account A and $940 in account B

Step-by-step explanation:

* Lets use the system of linear equations to solve the problem

- Simple Interest Equation I = Prt , Where:

# P = Invested Amount

# I = Interest Amount

# r = Rate of Interest per year in decimal; r = R/100

# t = Time Period involved in months or years

* Lets solve the problem

- The total money invested is $1760

- Account A pays 7​% annual interest

- Account B pays 4​% annual interest

- Let A represent the amount of money invested in the account A

- Let B represent the amount of money invested in the account B

- You would like to earn $ 95 at the end of one year

∴ The interest from both accounts at the end of one year is $95

- Lets write the equations

# Account A :

∵ Account A has $A invested

∴ P = $A

∵ Account A pays 7​% annual interest

∴ r = 7/100 = 0.07

∵ t = 1 year

∵ I = Prt

∴ I = A(0.07)(1) = 0.07A

# Account B :

∵ Account B has $B invested

∴ P = $B

∵ Account A pays 4​% annual interest

∴ r = 4/100 = 0.04

∵ t = 1 year

∵ I = Prt

∴ I = B(0.04)(1) = 0.04B

- The total amount of interest from both accounts at the end of one

  year is $95

∴ I from A + I from B = 95

∴ 0.07A + 0.04B = 95 ⇒ multiply both sides by 100

∴ 7A + 4B = 9500 ⇒ (1)

- The total money to invest in both accounts is $1760

∵ Account A has $A invested

∵ Account B has $B invested

∴ A + B = 1760 ⇒ (2)

* Lets solve the system of equations to find the amount of money

  invested in each account

- Multiply equation (2) by -4 to eliminate B

∵ A + B = 1760 ⇒ × -4

∴ -4A - 4B = -7040 ⇒ (3)

- Add equation (1) and (3)

∵ 7A + 4B = 9500 ⇒ (1)

∵ -4A - 4B = -7040 ⇒ (3)

∴ 7A - 4A = 9500 - 7040

∴ 3A = 2460 ⇒ divide both side by 3

∴ A = 820

- Substitute the value of A in equation (1) or (2)

∵ A + B = 1760 ⇒ (2)

∴ 820 + B = 1760 ⇒ subtract 820 from both sides

∴ B = 940

- From all above

* You should invest $820 in account A and $940 in account B

6 0
3 years ago
Find the equation of the line<br> Slope =4/3<br> y-intercept =-5
AlladinOne [14]

Answer:

y=4/3x - 5

Step-by-step explanation:

5 0
3 years ago
Help me on this prob plz<br> :) |x|-8=-5
Rufina [12.5K]

Answer:

X= 3,-3

Step-by-step explanation:

You solve for x by simplifying both sides of the equation then isolating the variable. Hope this helped you :)

5 0
3 years ago
Read 2 more answers
Can someone please help me with question number 5 please
Lilit [14]
I believe it’s ccccccccc
4 0
2 years ago
Read 2 more answers
SOLVE THIS PROBLEM ASAP PLS
zzz [600]

Answer:

a) 6 girls

b) 3 more boys than girls

c) Pizza

Step-by-step explanation:

a)

You know that half of 4 is 2, and 4+2=6.

b)

There is 1 full circle and 1 circle that is 3/4.

3/4 of 4 is 3.

4+3 is 7 for the girls.

For the boys, there is 2 full circles and 1 half circle.

Half of 4 is 2.

8+2=10.

10-7=3.

c)

You can clearly see its pizza!!!

Hope this helps! <3

6 0
3 years ago
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