You substitute the y from the second eqaution to the y in the first equation
Answer:
Interest rate of 7%.
Step-by-step explanation:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
In this question:
We want to find t for which 
when 
. So
![\sqrt[10]{(1 + r)^10} = \sqrt[10]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B%281%20%2B%20r%29%5E10%7D%20%3D%20%5Csqrt%5B10%5D%7B2%7D)
So a interest rate of 7%.
Answer:
f(x) = (x + 4)² - 3
Step-by-step explanation:
The equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² + 8x + 13
To obtain f(x) in vertex form use the method of completing the square
add/ subtract (half the coefficient of the x- term)² to x² + 8x
f(x) = x² + 2(4)x + 16 - 16 + 13
f(x) = (x + 4)² - 3 ← in vertex form
The Consumer Price Index is calculated through the equation,
CPI = (current period price/base period price) x 100
The base period is 1983. Solving the CPIs for 2000 and 2005
(2000)
CPI = ($28.94/$16.35) x 100 = 177
(2005)
CPI = ($32.54/$16.35) x 100 = 199
The difference between the CPIs of 2005 and 2000 is 199 - 177 = 22.
