Answer:
104 = 10,000 x 3.32 = 33,200
Step-by-step explanation:
hope this helps
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:
4 years
Step-by-step explanation:
I=prt
1440=4000(r)0.09
4000r * 0.09 = 1440
divide both sides by 4000 times 0.09
r = 4
Answer
The value of x is 6.2 units .
Step-by-step explanation:
Now by using the pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
Now in the Δ ABD
As given
DB² = DA² + AB²
As given
DB = 13 units
AB = 9 units
Putting values in the above
13² = 9²+ DA²
169 - 81 = DA²
88 = DA²
In ΔABC
AB² = AC² + CB²
(As given AB = 9 units , CB = x)
9² = AC² + x²
AC ² = 81 - x²
Now in ΔADC.
AD² = AC² + DC ²
As
AC ² = 81 - x²
DC = 13 - x
(By using the formula (a + b)² = a² + b² + 2ab )
88-81 - 169 = -26x
88-250 =-26x
-162 = - 26x
x = 6.2 (Approx)
Therefore the value of x is 6.2 units .
Answer:
The answer is option A
Step-by-step explanation:
Since the lines are perpendicular the slope perpendicular line is the negative inverse of the original line and when they are multiplied should give - 1
Let m be the slope of the perpendicular line
That's
1/3 × m = - 1
multiply through by 3
m = - 3
The slope of the perpendicular line is - 3
Hope this helps you
