Answer:
x = -2
, y = 3
Step-by-step explanation:
Solve the following system:
{4 x + 5 y = 7
y = 3 x + 9
Hint: | Perform a substitution.
Substitute y = 3 x + 9 into the first equation:
{4 x + 5 (3 x + 9) = 7
y = 3 x + 9
Hint: | Expand the left hand side of the equation 4 x + 5 (3 x + 9) = 7.
4 x + 5 (3 x + 9) = (15 x + 45) + 4 x = 19 x + 45:
{19 x + 45 = 7
y = 3 x + 9
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for x:
{19 x + 45 = 7
y = 3 x + 9
Hint: | Isolate terms with x to the left hand side.
Subtract 45 from both sides:
{19 x = -38
y = 3 x + 9
Hint: | Solve for x.
Divide both sides by 19:
{x = -2
y = 3 x + 9
Hint: | Perform a back substitution.
Substitute x = -2 into the second equation:
Answer: {x = -2
, y = 3
Answer:
rate of change is 1/2
Step-by-step explanation:
formula for rate of change is f(b)-f(a)/b-a
Answer:
FV= $34,222.33
Step-by-step explanation:
<u>First, we need to calculate the weekly interest rate:</u>
Weekly interest rate= 0.0289/52= 0.00056
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= {A*[(1+i)^n-1]}/i
A= weekly deposit
n= 15*52= 780
A= $35
FV= {35*[(1.00056^780) - 1]} / 0.00056
FV= $34,222.33
Given:
Total price : 107,820
down payment 15% of the total price.
financing the remainder at 6.5% for 25 years.
How much is she financing? She will finance 85% of the total price.
107,820 * 15% = 16,173
107,820 - 16,173 = 91,647
or
107,820 * (100-15)% = 107,820 * 85% = 91,647
