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IgorC [24]
3 years ago
14

The population of a town is decreasing at a rate of 3.2% per year. In 2015, there were 14,250 people. What is the first year tha

t the population will be less than 10,000?
А
2026
B
2020
С
2016
D
2025
Mathematics
1 answer:
notsponge [240]3 years ago
4 0
The answer is D
you would set up an equation like this
14,250 x .032
this will give you how much the population is decreasing per year. Which is 456 people per year.
You then take 2015 and find the difference between that number and 2025 and do it with all of the other years too.
For example 2025-2015 is 10 years
You then take 10 x 456 to tell you how much the of population you lost in those 10 years. You will then take that number which is 4,560 and do 14,250-4,560 to get 9,650.
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If r(x)=3x-1 and s(x)=2x+1, which expression is equivalent to (r-s)(6)
daser333 [38]

Answer:

4

Step-by-step explanation:

Step 1:  find (r- s) or  r(x) - s(x)

 r(x) - s(x) = 3x - 1 - (2x + 1)

       r(x) - s(x) = 3x - 1 - 2x - 1   (distribute the -1 to 2x and 1)

           r(x) - s(x) =  x - 2        (combine like terms, 3x + (-2x) = x, -1 + (-1) = -2)

          so   r(x) - s(x) = x - 2, or   (r - s)(x) = x - 2

Step 2:  Plug in 6 to 'x' and find (r - s)(x)

  (r - s)(6) =  6 - 2   =   4

5 0
3 years ago
Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate Pi.
taurus [48]

Answer:

 26.13ft^2

Step-by-step explanation:

Step  1 - As both triangles have lengths the same size, they both add together to equal a rectangle. Therefore:

4 x 3 = 12

Which is the area of the triangles.

Step 2 - Calculating the area of a circle uses the formula:

\pi r^2

Where r is the radius of the circle.

Plug the known variables in:

\pi \cdot 3^2\\\pi \cdot 9\\3.14 \cdot 9 = 28.26\\

However, this is the area of a full circle. The figure is only half a circle so we must divide this by two:

28.26 ÷ 2 = 14.13

Now, add the area of the semi-circle to the area of the triangles:

14.13 + 12 = 26.13

Therefore, the area of the figure is 26.13ft^2.

Hope this helps!

6 0
2 years ago
You borrow $3,897 for a loan for college expenses with a 2.5% interest rate. How much interest is charged on the loan
belka [17]

Answer:

Amount of interest pay per year = $97.5 (Approx.)

Step-by-step explanation:

Given:

Amount borrow for college expenses = $3,897

Rate of interest = 2.5%

Find:

Amount of interest pay per year

Computation:

Using Simple interest formula;

Simple interest = Amount borrow x Rate of interest x number of year

Amount of interest pay per year = 3,897 x 2.5% x 1

Amount of interest pay per year = 3,897 x 0.025

Amount of interest pay per year = 97.425

Amount of interest pay per year = $97.5 (Approx.)

7 0
3 years ago
Which choice is equivalent to the quotient shown here when X>0? Square Root 18x divided by square root 32
Marina86 [1]

Answer:

The answer is A

Step-by-step explanation:

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3 years ago
What is 4 √(2 × √(2 simplified?
larisa86 [58]

i think that it is 8

5 0
3 years ago
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