The solutions to f(x) = 64 is x = 7 and x = –7.
Solution:
Given data:
and 
To find the solutions when f(x) = 64.
Both are equations of f(x), so equate the given equations, we get
Subtract 15 from both sides of the equation.
49 can be written as 7².
Taking square root on both sides of the equation, we get
x = ±7
The solutions to f(x) = 64 is x = 7 and x = –7.
Since there was a down payment, the actual amount borrowed was
Amount borrowed, P=125000-25000=100000
interest, i = 4% (APR) = 0.04/12 per month (ASSUME compounded monthly)
Monthly payment = $577
To find the amortization portion of the first payment, we need the interest accumulated at the end of the first month (first payment)
= 100000*(0.04/12) = 333.33 (nearest cent)
Therefore amortization portion = $577-333.33 = 243.67 (to the nearest cent)
(by the way, if we need to know the amortization period, we have to use the amortization formula and estimate the number of months, n to give a monthly payment of 577 for the given principal. n can be calculated as 259.04 months, or over 21 years and 7 months).
Answer:
y = - x - 4
Step-by-step explanation:
A line perpendicular to the line: y = x + 5
must have a slope that is the "opposite of the reciprocal" of the slope of the given line. Then the slope of the perpendicular line must be "-1".
Now that we know the slope of the perpendicular line, we use the point (-7, 3) to complete the equation of the line:
y = -1 x + b
3 = -1 (-7) + b
then we solve for "b":
3 = 7 + b
3 - 7 = b
b = -4
Now we can write the total equation of the perpendicular line in slope-intercept form as:
y = - x - 4
Answer:
C) The cost increases $2.50 for every additional pair of shoes rented.
Step-by-step explanation:
Notice a pattern. When you buy a new pair of shoes, the total gets increased by $2.50 depending on how many pairs of shoes you buy. For example, starting with 1 pair of shoes, it costs $2.50, but when you buy another pair, the cost is $2.50+$2.50=2*$2.50=$5.00, and so on...
Therefore, the correct choice is C
