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Feliz [49]
4 years ago
6

A town has a population of 14000 and grows at 3% every year. What will be the population after 6 years, to the nearest whole num

ber?
Mathematics
2 answers:
soldi70 [24.7K]4 years ago
4 0

This problem resembles one of a compound interest type, in which we would use the following formula:

M = C . (1 + j)^{n}

Where:

C is the initial amount

j is the interest rate

n is the number of periods

M is the final amount

Using this same formula to solve our problem, we have:

C is the initial population

j is the annual growth rate

n is the number of years

M is the final population

OK. Let's do it...

C = 14000

j = 3% = 3/100 = 0.03

n = 6

M = ?

Making the due substitutions and performing the calculations:

M = C . (1 + j)^{n}

M = 14000 . (1 + .03)^{6}

M = 14000 . (1 .03)^{6}

M = 14000 . 1.19

M = 16,716.7

Response: 16,717

:-)

Hunter-Best [27]4 years ago
3 0
Pretty sure (don't get mad if this is wrong) it's 16,700 jhsksk
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In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.
Nutka1998 [239]

​

<u><em>28.1 feet</em></u>

<u><em></em></u>

<em><u>explaination</u></em>

<u><em>\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}</em></u>

<u><em>cosU= </em></u>

<u><em>hypotenuse</em></u>

<u><em>adjacent</em></u>

<u><em>​ </em></u>

<u><em> = </em></u>

<u><em>x</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>\cos 70=\frac{9.6}{x}</em></u>

<u><em>cos70= </em></u>

<u><em>x</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>x\cos 70=9.6</em></u>

<u><em>xcos70=9.6</em></u>

<u><em>Cross multiply.</em></u>

<u><em>\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}</em></u>

<u><em>cos70</em></u>

<u><em>xcos70</em></u>

<u><em>​ </em></u>

<u><em> = </em></u>

<u><em>cos70</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>Divide each side by cos 70.</em></u>

<u><em>x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}</em></u>

<u><em>x= </em></u>

<u><em>cos70</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> =28.0685≈28.1 feet</em></u>

<u><em>Type into calculator and roundto the nearest tenth of a foot.</em></u>

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B11%7D%7B17%7D%20%20%5Cdiv%20%20%5Cfrac%7B7%7D%7B10%7D%20" id="TexFormula1" title=
Lilit [14]

Your answer is 110/119

11/17 Divided By 7/10

11 * 10

17 * 7

110/119

That number can't be simplified, so that is your final answer.

Best of luck,

    - Ari -

8 0
3 years ago
Read 2 more answers
What value of x would result in the numerical value of zero in the expression 7+x+(−10) ?
sergejj [24]

Answer:

x = 3

Step-by-step explanation:

So if we plug in 3 to 7+x+(-10), it simplifys to

7+3+(-10)

10+(-10)

10-10 = 0

x=3

4 0
3 years ago
A real world problem that is represented by the division problem 38 divided by 5 r3 in which it makes sense to round up the quot
navik [9.2K]
You have to get 38 water bottles and a number of water bottles in each pack are 5, the cost is represented by C.
4 0
4 years ago
Need help fast due today thanks
cricket20 [7]

1

Move everything to the left by subtracting 25 from both sides:

81x^2-25=0

Both terms are squares: 81x^2 is the square of 9x, while 25 is the square of 5. So, we can apply the factoring

a^2-b^2=(a+b)(a-b)

To factor the expression as

(9x+5)(9x-5)=0

A multiplication is zero if and only if one of the factors is zero, so we have

(9x+5)(9x-5)=0 \iff 9x+5=0 \lor 9x-5=0 \iff x=-\dfrac{5}{9} \lor x=\dfrac{5}{9}

2

The discriminant of the quadratic expression ax^2+bx+c is defined as

\Delta = b^2-4ac

So, you have

\Delta = 0^2-4\cdot(-1)\cdot(-25) = -100

3

Similarly, we have

\Delta = 7^2-4\cdot(-3)\cdot 6 = 49+72=121

8 0
3 years ago
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