Answer: 120362
Step-by-step explanation:
The exponential function for finding population is given as :
A = P
Where :
A = Total amount of growth after some given time
P = Original population
r = growth rate
t = total years
From the question , we will notice that there is a decrease in the population , then the formula to be used will be
A = P )
A = ?
P = 14000
r = 1.5% = 0.015
t = 10
substituting each given values into the formula , we have
A = 1400 ()
A = 14000 ( )
A = 14000 X 0.859730442
A = 120362.2619
Therefore : The population after 10 years is ≈ 120362
Answer:
32.7°
Step-by-step explanation:
Use the formula for law of cosines, for this question we need so solve for angle B, so use...
b² = a² + c² - 2(a)(c)Cos B
We are given a, b, and c, so plug them in...
55² = 90² + 50² - 2(90)(50)Cos B
Now simplify...
3,025 = 8100 + 2500 - (9000)Cos B
-7,575 = -(9000)Cos B (subtract 8100 and 2500 from both sides)
0.841666667 = Cos B (divide both sides by -9000)
Cos^(-1) 0.841666667 = B (use cosine inverse function on calculator)
32.68346376° = B
32.7° = B
Answer:
Step-by-step explanation:
make a good drawing and notice the right triangle with legs 20 mi and 14 mi
the distance from home to the warehouse is the hypotenuse c of the right triangle thus we will use the Pythagorean Theorem:
c^2 = 20^2 + 14^2
c^2 = 596
c = 24.41 mi approximately is the distance from home to a warehouse
since 24.41 < 25 you will incur a delivery charge.
Answer:
625
Step-by-step explanation:
This is a reoccurring permutation
so it is 5^3