Answer:
$4911.45
Step-by-step explanation:
To find Megan's average daily balance, we first need to assume that the billing cycle begins at January 1st.
Now we know that there are 31 days in the month of January, we will use that as our basis.
20 days x 4805 = First 20 days of the billing cycle.
11 days 4805 + 300 = 21st day of the billing cycle.
31 days in the month
So now we simply add the first 20 days and the days after the 21st day and divide it by the number of days in the month since we're looking for the average.
(20 x 4805 + 11(4805+300))/31
(20 x 4805 + 11(5105))/31
(96100 + 56155)/31
152255/31
This then gives us:
$4911.45
Answer:
17x-12
Step-by-step explanation:
combine like terms. 12x and 5x go together to make 17x. 4 and -16 go together to make -12
Consider that,
x^2+4x+4 = (x+2)(x+2)
x^2+7x+10 = (x+2)(x+5)
Dividing those expressions leads to
(x^2+4x+4)/(x^2+7x+10) = (x+2)/(x+5)
The intermediate step that happened is that we have (x+2)(x+2) all over (x+2)(x+5), then we have a pair of (x+2) terms cancel as the diagram indicates (see below). This is where the removable discontinuity happens. Specifically when x = -2. Plugging x = -2 into (x+2)/(x+5) produces an output, but it doesn't do the same for the original ratio of quadratics. So we must remove x = -2 from the domain.
2x² - 4x - 30
2(x²) - 2(4x) - 2(15)
2(x² - 4x - 15)
Answer:
Area = 64π
Area \: = \pi {r}^{2}Area=πr
2
64 \: \pi \: = \pi {r}^{2}64π=πr
2
{r}^{2} = \dfrac{64\pi}{\pi}r
2
=
π
64π
{r}^{2} = 64r
2
=64
r \: = \: \sqrt{64} = 8r=
64
=8
Radius = 8 units
Finding the Diameter -
Diameter = Radius x 2 = 8 x 2 = 16 .
\bold{Diameter \: is \: 16 \: units}Diameteris16units
