Answer:
y-4=-10(x-1)
Step-by-step explanation:
Point-slope form is:

We are given the slope of -10 and the point (1,4). So:
m = -10
x1 = 1
y1= 4
Replace the appropriate values:

So, y-4=-10(x-1) should be the point-slope equation.
Answer:
B) 2x - 12x - 18 = 8
Step-by-step explanation:
2x - 3y = 8
If y = 4x - 6, then substitute and solve:
2x - 3(4x - 6) = 8
2x - 12x - 18 = 8
10x - 18 = 8
10x = 8 + 18
10x = 26
x = 26/10
x = 2.6
y = 4(2.6) - 6
y = 10.4 - 6
y = 4.4
It's the y intercept.
If y = a then every point on the line would be (x,a)
The lines slope is 0. I know that has nothing to do with the question, but it is true and it gives me 3 things to tell you.
Answer: $4,331
Step-by-step explanation:
I will assume that the question meant 5.2% not 52% as this is quite excessive.
Katherine after 13 years.
Convert the variables;
n = 13 years = 13 * 365 = 4,745 days
r = 5.2% = 5.2/365 = 5.2/365%
Future value = P * ( 1 + r)^n
= 86,000 * (1 + 5.2/365%)⁴⁷⁴⁵
= $169,068
Michael after 13 years;
If compounded continuously, the formula is;
Future value = Pe^rt
= 86,000 * e⁰.⁰⁵ ˣ ¹³
= $164,737
Difference = 169,068 - 164,737
= $4,331