Suppose the population of a town is 15,200 and is growing 2% each year. Write an equation to model the population growth. Predict the population after 10 years
Answers
Find the population number after 10 years.
First, let’s find the value of 2% in decimal form
=> 2/100
=> 0.02
Now, let’s try to solve
Population = 15 200 ( 1 + (0.02 x 10) )
Population = 15 200 ( 1 + 0.2 )
Population = 15 200 + 3040
Population = 18 240
Thus, in 10 years, the town’s population will increase to 18 240.
Answer:
The equation model is P = Po * e^rt
The population after 10 years = 18, 559 (most approximately)
Step-by-step explanation:
We use formula to find the population growth.
P = Po * e^rt
Where P is the total population after t years
Po is the initial population
r = rate of growth
t = time
e = 2.71 [Euler number]
The equation model is P = Po * e^rt
Now to find the population after 10 years, we have to plug in the given values in the formula.
Given:
Po = 15, 200, r = 2% = 2/100 = 0.02, and t = 10 years
P = 15,200*e^0.02(10)
P = 15,200*2.71^0.2
P = 15,200 *1.221
P = 18, 559
Therefore, the population after 10 years = 18, 559 (most approximately)
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5+ 10 + 6x 1/10 + 7x1000 in decimal form.
Find the area of the blue sector. Use 3.14 for pi and round to the nearest hundredth.
Answers
if y varies directly as x that means
y=kx where k is a constant
so
y=kx
y=2 and 2/3 when y=1/4 then find k
convert 2 and 2/3 to imporoper fraction for ease
2 and 2/3=6/3+2/3=8/3
8/3=k(1/4)
multiply both sides by 4/1 to clear fraction
32/3=k
so now we have
y=(32/3)x
when x=1 and 1/8
find y
convert 1 and 1/8 to imporopor=9/8
y=(32/3)(9/8)
y=(288)/(24)
y=12
Answers
8 2/5 feet high * 16 2/3 feet long = 8 2/5 * 16 2/3 = 42/5 * 50/3 = 140 square feet
1/2 * 140 = 140/2 = 70 square feet
The correct result would be 70 square feet.
The area that will be painted blue is 69.97 square feet.
How to find the area that will be painted blue?
Remember that for a rectangle of length L and width W, the surface area is given by:
In this case we have:
- L = (8 + 2/5)ft
- W = (16 + 2/3) ft.
Replacing that in the area equation:
And we know that half the wall is painted, so the area that will be blue is:
If you want to learn more about areas:
#SPJ2
Answers
Answer:
The highest common factor would be 114
3876 = 2x3x3x17x19
114 = 2x3x19
Final answer:
The highest common factor (HCF) of 3876 and 114 is 6.
Explanation:
To find the highest common factor (HCF) of two numbers, such as 3876 and 114, we need to determine the largest number that divides evenly into both given numbers.
We can start by finding the prime factors of each number. The prime factorization of 3876 is 2 × 3 × 1,29, and the prime factorization of 114 is 2 × 3 × 19.
The common factors we can identify are 2 and 3, so the HCF of 3876 and 114 is 2 × 3, which is 6.
Learn more about highest common factor here:
#SPJ11
Answers
These are the stepsinvolved in answering this question:
1. Change
To do this, divide the numerator by the denominator. The numerator is the top part of the fraction, while the denominator is the bottom part of the fraction.
2. So,
3. This concludes that
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Answers
Answers
Answer:
5
Step-by-step explanation:
250-25=225
so then that means...
225 divided by 45=5
5