MATHEMATICS HIGH SCHOOL

A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?2.5 days
5.0 days
46.6 days
66.7 days
An explanation would be great help.

Answers

Answer 1
Answer:

The correct answer is:

46.6 days

Explanation:

The general form for exponential growth is

A=p(1+r)^t, where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).

We do not know the initial amount, the total amount, or the amount of time.  We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:

A=p(1+0.015)^t

We also know we want the total amount, A, to be twice that of the initial amount, p:

2p = p(1+0.015)^t\n2p=p(1.015)^t

Divide both sides by p:

(2p)/(p)=(p(1.015)^t)/(p)\n\n 2=1.015^t

Using logarithms to solve this,

\log_(1.015)(2)=t\n\n46.6=t
Answer 2
Answer: Sorry, I tried to answer with a full explanation but the equation function on brainly.com stopped working. Now I can't delete my attempt at an answer with explanation. The correct answer is 46.6 days.

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Part A: If (72)x = 1, what is the value of x? Explain your answer. (5 points)Part B: If (70)x = 1, what are the possible values of x? Explain your answer. (5 points)

Answers

Answer:

see step by step explanation

Step-by-step explanation:

part a: x=1/72  because there are 72 x's in the one so 1/72

part b: x=1/70 because there are 70 x in 1 so x = 1/70

Answer:

(7^2)^0

Step-by-step explanation:

The Zero rule property states that anytime you multiple an exponent by 0 it always equals 1. So, if you multiply the equation by 0 it will equal one.

In the pair of similar trapezoids, what is the length of side DA?

Answers

(|EH|)/(|GH|)=(|AD|)/(|CD|)\n\n(15)/(20)=(|AD|)/(60)\n(3)/(4)=(|AD|)/(60)\n4|AD|=180\n|AD|=45

Give the equation of the horizontal asymptote shown below.g(x)=7x^2/x^2+5
A. y= 7/5
B. y=7
C. y=5
D. x=7

Answers

Polynomial division yields

(7x^2)/(x^2+5)=7-(35)/(x^2+5)

As x\to\pm\infty, you have the remainder term approaching 0, so the horizontal asymptote is the line y=7.

Answer:

the answer on a*p*e*x is y=7

What are the solutions to X2 + 8X + 7 = 0?

Answers

Answer:

x = - 7, x = - 1

Step-by-step explanation:

Given

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = 7 and 7 + 1 = 8 , then

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

x=-1,-7

Step-by-step explanation:

x^2+8x+7=0 where a \neq 0 so a = 1 b = 8 c = 7

Quadratic Formula: x=-b(√(b^2-4ac) )/(2a)

x=-8(√(8^2-4(1)(7)) )/(2(1))

x=-8(√(64-28) )/(2)     Evaluate the exponent and multiply 4ac

x=-8(√(36) )/(2)          Subtract b^2 - 4ac and multiply 2a

x=-8(√(6) )/(2)           Solve for the sqrt root of 35

x = - 8 ± 6/2 =

x = - 8 + 6/2 = -1

x = - 8 - 6/2 = -7

Rachel can buy licorice sticks for $0.75 and cherry candies for $0.50 and has a budget of $25. If her expenses are represented by the equation 0.75x + 0.5y = 25, where x is the number of licorice sticks and y is the number of cherry candies, how many cherry candies can she buy if she wishes to spend the entire $25 on cherry candies?

Answers

Answer:

She can buy 50 cherry candies if she wishes to spent the entire $25 on cherry candies

Step-by-step explanation:

Cost of each licorice sticks = $0.75

Cost of each cherry candy = $0.50

Total budget = $25

Equation to represent her expenses is 0.75x + 0.5y = 25

where x is the number of licorice sticks and y is the number of cherry candies

Let the number of cherry candies she can buy be c.

So,

Cost of each cherry candy * Number of cherry candies = Total budget

=> 0.50 x c = 25

We get

0.50c = 25

We need to eliminate 0.50 from the left so we divide both sides by 0.50

(0.50c)/(0.50)=(25)/(0.50)

Cancelling out 0.50 from the top and bottom of the left side we get,

c = 50

So, she can buy 50 cherry candies if she wishes to spent the entire $25 on cherry candies.
She will be able to buy 50 candies if she wish to spend her entire 25 dollars on only cherry candies.

Jennifer has decided to mow lawns in her neighborhood as a way to earn money. She can mow20 minutes. How many lawns can Jennifer mow in 1 hour?

of a yard in

Answers

Answer:

Jeniffer can mow 3 lawns in an hour.

Step-by-step explanation:

If It takes  Jennifer 20 minutes to mow the lawn. We are also given the time she spends mowing lawns. This is 1 hour.

For our solution to be correct, we will have to first of all convert 1 hour to minutes.

1 hour = 60 minutes.

Jeniffer should be able to mow 60 / 20 lawns in an hour. This will be 3 lawns in an hour.

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