Given:
Wang Yong owes the bank $8500. He pays back a fixed amount each month. After 12 months, he still has to pay off $6460.
To Find:
The amount of money he pays the bank every month and how long it will take him to pay off the full debt.
Answer:
Wang Yong pays $170 each month, and doing so, it will take him a total time of 50 months to pay off the full debt.
Step-by-step explanation:
Wang Yong has borrows $8500 according to the question.
Say he pays the bank an amount of x every month, which is fixed. After 12 months, he still has to pay $6460.
In 12 months, he would have paid the bank 12x.
But $6460 is still left out of the original $8500.
This means,
That is, Wang Yong pays the bank $170 every month.
Next, to calculate the amount of time it took Wang Yong to pay back his whole debt, we divide the total sum of money owed to the bank by the amount Wang Yong pays each month.
So, number of months = 8500 ÷ 170 = 50
That is, Wang Yong will pay off his debt 50 months after borrowing the money from the bank, provided he pays back $170 every month.
Answer: (-4,-6) is the point that ALMOST satisfies both inequalities. IF they were equalities, this would be the solution.
The question is a bit confusing as it asks for "which points (x,y) satisfies both" It's ungrammatical, and many points (infinite within the shaded region) are solutions that SATISFY the system of inequalities!
Step-by-step explanation: Substitute the x and y-values and see if the inequalities are true.
y>x-2 -6> -4-2 -6= -6
That point (-4,-6) is on the dashed line, so not exactly a true solution; this is a question about inequalities. So y values have to be greater than-6 or x-values less than -4 for a true inequality.
y>2x+2
-6>(2)(-4) +2
-6> -8 +2
-6> -6 Again, equal, so for this y-values have to be greater than-6 and/or x-values less than -4 in order to have a true inequality.
If you have the graph to look at, you can select any points in the shaded region that satisfies both of the inequalities.
Answer:
Step-by-step explanation:
(3,0),(4,1) ⇒ (x₁,y₁),(x₂,y₂)
to find the equation of the line
y-y₁= {(y₂-y₁)/(x₂-x₁)}(x-x₁)
y-0= [(1-0)/(4-3)] (x-3)
y-0 = 1/1(x-3)
y-0 = x-3
y= x-3+0
y=x-3
compare to y=mx+c, where m is the gradient and c is the intercept on y-axis
m=1, c=-3
∴the y-intercept of the line is -3
Answer:
Step-by-step explanation:
The funtion is:
C(p)= 3(p)+1.07 (1)
where: 3 is the package cost, p is the number of packages and 1.07 is the taxes
the cost could be equal or less than the gift card value so:
C
(2)
Replace 2 en 1
x 1.07
3(p)
![3p [tex]\leq](https://tex.z-dn.net/?f=3p%20%5Btex%5D%5Cleq)
14.02\\\\p\leq \frac{14.02}{3} \\\\p\leq 4.67[/tex]
It´s important to aprox the quantity to the minimum value so I can buy 4 packages
The reasonable domain is for all R because any number is a possible value of the independent variable
