Answer:
B) -125a^11
Step-by-step explanation:
(-5a^2)^3·a^5 = (-5)^3·a^6·a^5
= (-5)^3·a^(2·3)·a^5
= (-5)^3·a^6·a^5
= -125·a^(6+5)
= -125·a^11 . . . . matches choice B
_____
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
Answer:
(2,7/2)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(-4+8) /2 = 4/2 =2
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(2+5) /2 = 7/2 =
The midpoint is (2,7/2)
Answer:
1 4/17
Step-by-step explanation:
3 1/2 ÷ 2 5/6
= 7/2 ÷ 17/6
= 7/2 * 6/17
= 21/17
= 1 4/17
Answer:
C. Its APR, because it's less than its effective interest rate.
Step-by-step explanation:
The interest rate determines the money you must pay on the outstanding balance on the credit card.
The credit card company would advertise the lowest numbers it could truthfully use.
The APR is 15.83 %.
The formula for the effective interest rate is
![i = \left (1 + \dfrac{r}{n} \right )^{n} - 1](https://tex.z-dn.net/?f=i%20%3D%20%5Cleft%20%281%20%2B%20%5Cdfrac%7Br%7D%7Bn%7D%20%5Cright%20%29%5E%7Bn%7D%20-%201)
where the interest rates are expressed as decimals.
If the APR is 15.83% and the interest is compounded daily,
![\begin{array}{rcl}i & = & \left (1 + \dfrac{0.1583}{365} \right )^{365} -1\\\\ & = & (1 + 0.0004337)^{365} -1\\ & = & (1.0004337)^{365} -1\\ & = & 1.1715 - 1\\& = & 0.1715\\& = & 17.15 \%\\\end{array}\\\text{The effective interest rate is $\mathbf{17.15 \%}$}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7Di%20%26%20%3D%20%26%20%5Cleft%20%281%20%2B%20%5Cdfrac%7B0.1583%7D%7B365%7D%20%5Cright%20%29%5E%7B365%7D%20-1%5C%5C%5C%5C%20%26%20%3D%20%26%20%281%20%2B%200.0004337%29%5E%7B365%7D%20-1%5C%5C%20%26%20%3D%20%26%20%281.0004337%29%5E%7B365%7D%20-1%5C%5C%20%26%20%3D%20%26%201.1715%20-%201%5C%5C%26%20%3D%20%26%200.1715%5C%5C%26%20%3D%20%26%2017.15%20%5C%25%5C%5C%5Cend%7Barray%7D%5C%5C%5Ctext%7BThe%20effective%20interest%20rate%20is%20%24%5Cmathbf%7B17.15%20%5C%25%7D%24%7D)
The APR is less than the effective interest rate, so that's what the company would advertise.
Answer:
x=1
Step-by-step explanation:
77+9x=18x+68
Subtract 9x from each side
77+9x-9x=18x-9x+68
77 = 9x+68
Subtract 68 from each side
77-68 = 9x
9 = 9x
Divide by 9
9/9 =9x/9
1 =x