Answer:
Step-by-step explanation:
Y= 3x - 20 is an equation parallel to y=3x-3 and passes through (6,-2).
Answer: the athlete's salary for year 7 of the contract is $3795957
Step-by-step explanation:
The player signs a contract with a beginning salary of $3,000,000 for the first year and an annual increase of 4%. This means that the amount he gets each year is 1.04 times of the previous year's amount. The rate at which his salary increases is in geometric progression. The nth term of a geometric progression is expressed as
Tn = ar^n-1
Where
Tn is the salary for the nth year
a is the salary for the first year
r is the rate at which the salary is increasing. So
a = 3,000,000
n = 7
r = 1.04
We want to determine T7. It becomes
T7 = 3000000 × 1.04^(7-1)
T7 = 3000000 × 1.04^6
Tn = $3795957
Answer:
y = 1/2x - 4
Step-by-step explanation:
The x-intercept is when y = 0, so it would be:
-x + 2 * 0 = 4
-x = 4
x = -4
That means the x-intercept is (0, -4)
The parallel line would have the same slope as this one, so:
![-x+2y = 4\\2y = x + 4\\y = 1/2x + 2](https://tex.z-dn.net/?f=-x%2B2y%20%3D%204%5C%5C2y%20%3D%20x%20%2B%204%5C%5Cy%20%3D%201%2F2x%20%2B%202)
The parallel line has a slope of 1/2
So now you need to find the equation of a line that has a slope of 1/2 and passes through the point (0, -4)
Put it in point slope form:
y - (-4) = 1/2(x - 0)
y + 4 = 1/2x
y = 1/2x - 4