Answer:
$2,263.63
Step-by-step explanation:
You start with "if" but don't end with what your goal is. I will assume that you want to know how much you'll have to pay after 5 years to pay off this $1,000 loan.
Use the compound amount formula A = P(1 + r)^5. Replacing P with $1,000, r with 0.1775 and t with 5 years, we get the payoff balance
A = $1,000(1 + 0.1775)^5 = $2,263.63
Answer:
Step-by-step explanation:
sin2x = 2sinx*cosx
= 
* cosx
= 
* cosx
= 2 
= 
= 24/25
Answer:
6, -6
Step-by-step explanation:
The 2nd roots of 36 are 6 and -6 since
6^2 = 36
and
(-6)^2 = 36
Answer:
A(t) = 27.86 in²
Dimensions of the paper:
L = 3.73 in
w = 7.47 in
Step-by-step explanation:
The total area of a rectangular page A = ( x + 2)* (y + 4 ) x is the length and y the wide. x and y are the dimensions of the print area
The print area of the paper is A = 6 in² 6 = x*y y = 6/x
Then print area as a function of x is
A(x) = ( x + 2 ) * ( 6/x + 4 ) ⇒ A(x) = 6 + 4*x + 12/x + 8
Taking derivatives on both sides of the equation:
A´(x) = 4 - 12/x² A´(x) = 0 4 = 12 /x²
x² = 12/4 x =√3 x = 1.73 in and y = 6 / 1.73
y = 3.47 in
Then the dimensions of the paper are.
Length L = x + 2 = 3.73 in and w = 3.47 + 4 = 7.47 in
And the least amount of paper is
A(t) = 3.73* 7.47 = 27.86 in²
To find out if x = 1.73 is an x coordinate for a minimum we get the second derivative
A´´(x) = 24/x³ is always positive A´´(x) > 0 then we have a minimum for A at x = 1.73
Answer:
81 1/2
Step-by-step explanation:
We plug a and c in to get: 9^2+1/2
9^2=81 and 81+1/2 is 81 1/2
