Answer:
y = 3/4x + 19
Explanation:
First we need to write the equation in the form y=mx+c:
3x-4y=6
-4y=-3x+6
y=3/4x-3/2
Because the lines are parallel, we can deduce that the gradients (m) are equal. That means that the gradient of our new equation will also be 3/4.
We will now use the following equation:
y - y1 = m(x - x1)
We will substitute in the new line’s gradient as well as the coordinates we were given:
y - 10 = 3/4(x + 12)
Now we solve this equation into the form y=mx+c:
y - 10 = 3/4x + 9
y = 3/4x + 19
Answer:
The amount in the account at the end of three years will be $59,861.
Step-by-step explanation:
The formula to compute the amount at the end of <em>t</em> years, compounded continuously is:

Here,
A = Amount at the end
P = Principal amount
i = interest rate
t = number of years.
It is provided that:
P = $50,000
i = 6%
t = 3 years
Compute the amount in the account at the end of three years as follows:


Thus, the amount in the account at the end of three years will be $59,861.