Answer:
168.7602 miles
Step-by-step explanation:
One way to solve this problem is by using an equation that describes the listening radius of the station, and another for the road, then the points where this two-equation intersect each other will represent when the driver starts and stops listening to the station, and the distance between the points is the miles that the driver will receive the signal.
The equation for the listening radius (the radio station is at (0,0)):
The equation for the road that past through the points (-120,0) and (80,100) (Collinsville and Harmony respectively):
Substitutes the value of y in the equation of the circle:
The formula to solve second-degree equations:
Using the values in x to find the values in y:
The distance between the points (51.4718,85.7359) and (-99.4718,10.2641) :
Use the formula of the present value of annuity ordinary through GoogleWhat you have here is a loan payment of $108.08 with a present value of $3015 (the $3350 minus the 10% down payment) and a future value of zero with monthly compounding over 36 months
I got
R=0.173906
R=17.3%
good luck
Answer:
It is m(x) = 20,000(0.97)^x.
Step-by-step explanation:
After 1990, each year has (100-3) = 97% ( or 0.97) of visitors that it had the previous year.
So m(x) = 20,000(0.97)^x (answer).
Given:
Three numbers in an AP, all positive.
Sum is 21.
Sum of squares is 155.
Common difference is positive.
We do not know what x and y stand for. Will just solve for the three numbers in the AP.
Let m=middle number, then since sum=21, m=21/3=7
Let d=common difference.
Sum of squares
(7-d)^2+7^2+(7+d)^2=155
Expand left-hand side
3*7^2-2d^2=155
d^2=(155-147)/2=4
d=+2 or -2
=+2 (common difference is positive)
Therefore the three numbers of the AP are
{7-2,7,7+2}, or
{5,7,9}
<u>Answer</u>
First diagram shows 1 and 2 vertical angles
<u>Explanation</u>
From the all four diagrams,we get the diagram first shows the vertically opposite angles.
angle 1 and angle 2 are vertically opposite angles
vertically opposite angles are equal in measurements. when two lines are intersect each other form four angles, out of this four angles two pairs of vertically opposite angles are there.
All other figures angle 1 and 2 shows adjacent angles.
