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ira [324]
3 years ago
14

Population of a town is 2500 and it grows with a doubling time of 10 years. What will the population be in eight years

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer: I think 4500.

Step-by-step explanation: Since the doubling time is 10 years, which means another 2500 is added. So all we have to do is add 2500*(8/10) plus the original 2500, and here ya go!

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Page<br>Prove that<br>Tan ( 2 Tan^-l x)=2 Tan ( Tan^-1 x + Tan^-1 x^3)​
Kay [80]

Answer:

The answers are 0, 1 and −2.

Step-by-step explanation:

Let α=arctan(2tan2x) and β=arcsin(3sin2x5+4cos2x).

sinβ2tanβ21+tan2β2tanβ21+tan2β23tanxtan2β2−(9+tan2x)tanβ2+3tanx(3tanβ2−tanx)(tanβ2tanx−3)tanβ2=3sin2x5+4cos2x=3(2tanx1+tan2x)5+4(1−tan2x1+tan2x)=3tanx9+tan2x=0=0=13tanxor3tanx

Note that x=α−12β.

tanx=tan(α−12β)=tanα−tanβ21+tanαtanβ2=2tan2x−13tanx1+2tan2x(13tanx)or2tan2x−3tanx1+2tan2x(3tanx)=tanx(6tanx−1)3+2tan3xor2tan3x−3tanx(1+6tanx)

So we have tanx=0, tan3x−3tanx+2=0 or 4tan3x+tan2x+3=0.

Solving, we have tanx=0, 1, −1 or −2.

Note that −1 should be rejected.

tanx=−1 is corresponding to tanβ2=3tanx. So tanβ2=−3, which is impossible as β∈[−π2,π2].

The answers are 0, 1 and −2.

5 0
3 years ago
Determine the remainder when (x3 – 5x2 14x – 5) is divided by (x 3)
Bogdan [553]
Hello,

P(x)=x^3-5x^2+14x-5

P(-3)=(-3)^3-5*(-3)²+14*(-3)-5=-119
Remainder=-119
6 0
3 years ago
Read 2 more answers
There are apples in a basket. 3 of these apples are green . The rest of them are red
notsponge [240]

Answer:

That does not make sense

Step-by-step explanation:

So i cant really help you sorry

6 0
3 years ago
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Let Angle w be an acute angle. Use a calculator to approximate the me
serious [3.7K]

Answer:

<h2>49.5°</h2>

Step-by-step explanation:

Given the trigonometry function as shown sin W = 0.79, to get W, the following steps must be followed.

Step 1: Take the arcsin of both sides of the equation

sin^{-1}(sinW) =  sin^{-1}0.79\\W = sin^{-1}0.79

Step 2: Use a calculator to get the resulting value of W

W = 49.46^{0}

W = 49.5^{0} (to nearest tenth of a degree)

This gives the acute angle needed.

Note that acute angle are angles that are less than 90°

8 0
3 years ago
How to I find this?<br><br> What percent of 60 is 42?
Tpy6a [65]
So let's put it this way-
N% x 60 = 42
You want to isolate the variable
42/60 = N%
42/60 is .7 which is 70%
Hope this helps :)
4 0
3 years ago
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