Answer: 5y + 4x = - 10
Step-by-step explanation:
Two lines are said to be perpendicular if the product of their gradients = -1.
If the gradient of the first line is
and the gradient of the second line is
, if the lines are perpendicular, them
x
= -1 , that is
= 
The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.
The equation in slope -intercept form is given as :
y =mx + c , where m is the slope and c is the y - intercept.
Writing the equation in this form , we have
5x - 4y = + 3
4y = 5x -+3
y = 5x/4 + 3/4
comparing with the equation y = mx + c , then
= 5/4
Which means that
= -4/5 and the line passes through the point ( -5 , 2 ).
Using the equation of line in slope - point form to find the equation of the line;
y -
= m ( x -
)
y - 2 = -4/5 ( x +5)
5(y - 2 ) = -4 ( x + 5 )
5y - 10 = -4x - 20
5y + 4x = - 10
1. The problem gives the residual value in percentage, and you need it in dollars. So, if the MSRP for the car Jennifer is leasing is $ 17,500, you have:
57%/100=0.57
residual value=$17,500*0.57= $9,975
2. Then, you need to substract the residual value and the lease term, to calculate the value of the car, as below:
car value=$17,500-$9,975=$7,525
3. You need to calculate the money factor, which is the interest rate divided by 2400. Then, you have:
Interest rate=9%/100=0.09
Money factor=0.09x2400
Money factor=0.00375
4. The interest is:
I=($17,500+$9,975)(0.00375)
I=$103.03
5. Therefore, the monthly payment is:
Monthly payment=(car value/36 months)+Interest
Monthly payment=($7,525/36)+$103.03
Monthly payment=$209.02+$103.03
Monthly payment=$312.06
What will Jennifer’s monthly lease payment be?
The answer is: d. $312.06
Answer:


Step-by-step explanation:
1. The result should by a 2 digit number.
So, I fix a two digit number first, say 60.
Then, I multiplied it by some random integer, say 4 and got 240.
Now, 240 is my dividend and 4 is my divisor.
My division problem is:

2. The result should be a 3 digit number.
So, I fix a three digit number first, say 600.
Then, I multiplied it by some random integer, say 3 and got 1800.
Now, 1800 is my dividend and 3 is my divisor.
My division problem is:

I believe the answer is the ship is traveling at 21.25 MPH, started 10.5 miles from lighthouse and after 11 hours will be 244.25 miles from the lighthouse.