Answer:
FV= 200*(1.07^n)
Step-by-step explanation:
Current population= 200 deer
Growth rate= 7% per year
<u>To calculate the future value of deer in any given years, we need to use the following formula:</u>
<u></u>
FV= PV*(1+g)^n
FV= future value
PV= present value
g= growth rate
n= number of years
FV= 200*(1.07^n)
<u>For example, the population in 5 years:</u>
FV= 200*(1.07^5)
FV= 281
Answer:
m<AIR = 90 deg
Step-by-step explanation:
I assume the problem contains an error, and that AR is a diameter, not AC.
Look at the diameter of the circle, AR. It passes through the center of the circle, C. You can think of the two radii of the circle, CR and CA, as sides of angle RCA. Since AR is a diameter, and AR is a segment which is part of line AR, rays CR and CA are sides of an angle that lie on a line. That makes the measure of angle RCA 180 deg. Angle RCA is a central angle of circle C since its vertex is the center of the circle.
Angle AIR is an inscribed angle in circle C since its vertex is on the circle itself. If an inscribed angle and a central angle intercept the circle at the same two points, then the measure of the inscribed angle is half the measure of the central angle.
m<AIR = (1/2)m<RCA = (1/2) * 180 = 90
m<AIR = 90 deg
The distance that Kirsten and Molly need to bike on their third day is obtained by subtracting the sum of the distances they have traveled after two days from the length of the entire route.
distance left = 156 miles - (64 miles + 45 miles)
= 47 miles
Thus, Kirsten and Molly need to bike 47 miles on their third day.
Since everyone is getting a quarter of a pizza, 27 divided by 4 is 6.75. 6.75 rounded to a whole number is 7.
