Answer:
After 10 years the cost will be $ 97.52.
Step-by-step explanation:
This problem requires us to calculate the cost of graphing after 10 years if inflation rate is two percent. This can easily be calculated by compounding present value of current cost at the rate of 2%. Detail calculation is given below.
FV= 80 (1+2%)^10
FV = $ 97.52
The equation of the line parallel to 8x – 16y = –14 and passes through (3, 0) is
.
Solution:
Parallel line:
8x – 16y = –14
Subtract 8x on both sides,
–16y = –8x – 14
Divide by –16 on both sides, we get
![$y=\frac{8}{16}x+\frac{14}{16}](https://tex.z-dn.net/?f=%24y%3D%5Cfrac%7B8%7D%7B16%7Dx%2B%5Cfrac%7B14%7D%7B16%7D)
![$m_1=\frac{8}{16}](https://tex.z-dn.net/?f=%24m_1%3D%5Cfrac%7B8%7D%7B16%7D)
Slope of this line is
.
<em>Slopes of the parallel lines are equal.</em>
![m_1=m_2](https://tex.z-dn.net/?f=m_1%3Dm_2)
![$m_2=\frac{8}{16}](https://tex.z-dn.net/?f=%24m_2%3D%5Cfrac%7B8%7D%7B16%7D)
The line passes through the point (3, 0).
![x_1=3, y_1=0](https://tex.z-dn.net/?f=x_1%3D3%2C%20y_1%3D0)
Point-slope formula:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
![$y-0=\frac{8}{16} (x-3)](https://tex.z-dn.net/?f=%24y-0%3D%5Cfrac%7B8%7D%7B16%7D%20%28x-3%29)
![$y=\frac{8}{16}x-\frac{24}{16}](https://tex.z-dn.net/?f=%24y%3D%5Cfrac%7B8%7D%7B16%7Dx-%5Cfrac%7B24%7D%7B16%7D)
![$y=\frac{1}{2}x-\frac{3}{2}](https://tex.z-dn.net/?f=%24y%3D%5Cfrac%7B1%7D%7B2%7Dx-%5Cfrac%7B3%7D%7B2%7D)
The equation of the line parallel to 8x – 16y = –14 and passes through (3, 0) is
.
Relative
frequency is calculated as the ratio of the selected sample divided with the
total number of samples.
For this
case, the selected sample is students with high interest. Therefore the
relative frequency is:
Relative
Frequency = 30/100
Relative
Frequency = 0.3
<span> </span>
Answer:
48
Step-by-step explanation:
Substitute the given values for a and b into the expression
3(2)² + 4(3)²
= 3 × 4 + 4 × 9
= 12 + 36
= 48
The 1000th place is the 3rd number to the right of the decimal point.
You need to look at the fourth number, if it is a 5 or higher, you round the 3rd number up, if it is lower than 5 the 3rd number stays what it is.
3,333.8485
The fourth number is a 5, so you would round the third number, which is an 8 up to 9.
The number becomes E. 3,333.849
Rain total would be adding all the days together:
3 + 2.58 + 1.2 + 1.3 + 0.68 + 0.5 + 2.15 = 11.41
The answer is D. 11.41
Multiply the bill by 5% and add it to the bill to get the total with tax:
9.68 x 0.05 = 0.484 = 0.48
9.68 + 0.48 = 10.16
$10.16 is greater than $10, so you don't have enough money.
The answer is B. No