MATHEMATICS COLLEGE

If the population of a particular country is growing at 1.5 % compounded​ continuously, how long will it take the population to triple?

Answers

Answer 1
Answer: e^(0.015t)=3
Taking natural logs of both sides, we get
0.015t=ln 3
t = ln 3/0.015 = 73.24

The answer is 73.24 years.

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the length of this prism is multiplied by a scale factor of 1/2 to create rectangular prism B the volume of rectangular prism B is and I need work to

Answers

we know that

[volume of rectangular prism]=L*W*h
L= 6 in prism A
volume of rectangular prism A=6*w*h

L=6*(1/2)------> L=3 in prism B

volume of rectangular prism B=3*w*h
so
volume of rectangular prism B=[volume of rectangular prism A]/2

the answer is
Volume of B is 1/2 volume of A

Find the general solution of the following equation: y'(t) = 3y -5

Answers

Answer:

The general solution of the equation is y = (A)/(3)e^(3t) + 5

Step-by-step explanation:

Since the differential equation is given as y'(t) = 3y -5

The differential equation is re-written as

dy/dt = 3y - 5

separating the variables, we have

dy/(3y - 5) = dt

dy/(3y - 5) = dt

integrating both sides, we have

∫dy/(3y - 5) = ∫dt

∫3dy/[3(3y - 5)] = ∫dt

(1/3)∫3dy/(3y - 5) = ∫dt

(1/3)㏑(3y - 5) = t + C

㏑(3y - 5) = 3t + 3C

taking exponents of both sides, we have

exp[㏑(3y - 5)] = exp(3t + 3C)

3y - 5 = e^(3t)e^(3C)        

3y - 5 = Ae^(3t)                A = e^(3C)

3y = Ae^(3t) + 5    

dividing through by 3, we have

y = (A)/(3)e^(3t) + 5

So, the general solution of the equation is y = (A)/(3)e^(3t) + 5

Kristi went to the coffee shop and got each ofher 3 kids a $4 cake pop. She also got herself
a $5 chai tea latte. How much did Kristi spend
at the coffee shop?

Answers

Answer:

$17

Step-by-step explanation:

Hope this helps!

Answer:

12 dollars

Step-by-step explanation:

she spent 4 dollars for each of 3 kids so what I did was multiply 3 times 4, and got 12 dollars then she spent 5 dollars on her self which was 17 dollars she spent in the coffee shop.

Which graph shows an increasing linear function? p.s dont mind the tabs lol!!!

Answers

i believe it’s the bottom left graph

I would appreciate if you solved number 2

Answers

Answer:

the answer for #2 is 6

Step-by-step explanation:

Formula for a triangle:

Area = Base x Height ÷ 2

Question 1x + 6 = 23 x = ____

Question 2
Solve.
x - 7 = 12 x = ___

Question 3
Solve. Round your answer to the nearest tenth.

4x = 13 x = ____

Question 4
Solve. Round your answer to the nearest tenth.

3x + 1 = 15

Answers

Answer:

1. x=17

2. x=19

3. x=3

4. x=4

Answer:

question 1:

3/11

question 2:

-  7/11

Step-by-step explanation:

in
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