Answer:
6 cm
Step-by-step explanation:
The diameter is 2x the radius
Answer:
14
Step-by-step explanation:
Triangle=180
180-90 (RA) = 90
90-41= 39
(2x+11)=39
2x=28
x=14
Answer:
The exponential function to model the duck population is:
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Step-by-step explanation:
In order to calculate the duck population you can use the formula to calculate future value:
FV=PV*(1+r)^n
FV=future value
PV=present value
r=rate
n=number of periods of time
In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:
f(n)=415*(1+0.32)^n
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Answer:
219m
Step-by-step explanation:
Since the man observes the car with angle 15 before observing in 33 degrees.
For the first observation
The angle observation gives an angle if 33 degrees with the horizontal.
It gives a triangle which I'll attach to the que,
from the first triangle
Tan 33 = 100/y
Y= 100/ tan 33
Y = 153.99m.
This is the distance from the building to the distance where it was secondly observed( 33).
To find x
tan 15 = 100/(153.99+x)
153.99 + x = 100/ tan 15
153.99 + x = 373.21
The distance between the two observed angles
X= 219m.
Answer:
PV= $3,402.9
Step-by-step explanation:
Giving the following formula:
Future Vale (FV)= $5,000
Number of years (n) 5 years
Interest rate (i)= 8.5% compounded annually
<u>To calculate the initial investment (PV), we need to use the following formula:</u>
PV= FV / (1 + i)^n
PV= 5,000 / (1.085^5)
PV= $3,402.9