10. The amount of people using a certain product can be modeled by P = 85(1.2) where t is the
number of years since the product was first released. What is the growth rate?
A) 2%
B) 20%
C) 120%
D) 12%

Answers

Answer 1

Answer:

B) 20%

Step-by-step explanation:

Exponential equation:

An exponential equation is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the initial amount and r is the growth rate, as a decimal.

In this question:

[tex]P(t) = 85(1.2)^t[/tex]

Growth rate:

We want to find r, so:

[tex]1 + r = 1.2[/tex]

[tex]r = 1.2 - 1 = 0.2[/tex]

The growth rate is of 0.2 = 2%, and the correct answer is given by option B.


Related Questions

Paulo’s grandfather gave him a collection of 20 coins. Each month Paulo adds 4 coins to his collection. Which inequality can be used to find m, the number of months after starting his collection when Paulo will have more than 50 coins in his collection?

Answers

Answer:

[tex]4m+20>50[/tex]

Step-by-step explanation:

Let m represent the amount of months that has passed.

Paulo started out with 20 coins.

Each month, he adds four more coins to his collection.

Therefore, the amount of coins added after m months will be given by 4m.

So, the amount of coins Paulo has total after m months can be given by:

[tex]4m+20[/tex]

We want to know when Paulo will have "more than" 50 coins in his collection. Therefore, we will use the "greater than" sign. Thus, our inequality will be:

[tex]4m+20>50[/tex]

Angle α intersects the unit circle at point (-0.2538, 0.9673). What is the value of tan(α)?

Answers

Don’t click on the link THEYRE trying to hack u

The value of the tan(α) is -0.2624.

What is the tangent of an angle?

In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.

Given that, the angle α intersects the unit circle at point (-0.2538, 0.9673). We need to find the value of tan(α),

We know that, the tangent of the angle is the ratio of the perpendicular and the base,

So,

tan(α) = -0.2538 / 0.9673

= -0.2624

Hence, the value of the tan(α) is -0.2624.


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How many fourths are equivalent to 2\8

Answers

Answer:

1/4

Step-by-step explanation:

8/8=1

6/8=3/4

4/8=2/4

2/8=1/4

I’m not sure I understand but imma say 1 or 2

Whats the volume for this question?

Answers

Answer: 34 21/64

Step-by-step explanation: Multiply all the sides to get the Volume.

3 1/4 x 3 1/4 x 3 1/4 = 34 21/64

It would be 34 21/64

is the pie sign a integer, rational number or irrational number?​

Answers

Answer:

pi is considered to be irrational because it is a non-terminating, non-repeating decimal

Step-by-step explanation:

PI is an irrational number ✨

By which number 4704 must be divided so as to obtain a perfect square​

Answers

Answer:

6 the last one

Step-by-step explanation:

4704/6=784

784 squared is 28

making it a perfect square unlike the rest which have excess numbers after the decimal

Answer:

6

Step-by-step explanation:

WHEN YOU DIVIDE 4704 BY 6 YOU GET 784

IN ORDER TO GE THE PERFECT SQUARE YOU HAVE TO FIND THE LCM O 4704

Is it possible to scan a screenshot?

Answers

To be honest  i dont know  but u can try to find something like that to help u ?

I don’t know but I think YES

The functions f(x) = (x + 5)^2 + 2 and g(x) = -(x − 3)^2−3 have been rewritten using the completing-the-square method. Is the vertex for each function a minimum or a maximum? Explain your reasoning for each function.

Answers

Answer:

When the leading coefficient is positive, the graph opens up. It means the vertex is its minimum.

When the leading coefficient is negative, the its vertex is its maximum.

f(x) - vertex is minimumg(x) - vertex is maximum

How many sixteenths are there in 3/8 ?

Answers

6 sixteenths are in 3/8

Answer:

6 sixteenths 6/16

Step-by-step explanation:

8 x 2 = 16

3 x 2 = 6

Find f(5): x2 + x + 5​

Answers

Answer:

20

Step-by-step explanation:

can someone help NO LINKS PLEASE or i will literally report you lol

Answers

Answer:

Rectangular Prism Volume = [tex]210cm^{3}[/tex]

Total Volume of Composite Figure = [tex]247.68cm^{3}[/tex]

PLEASE HELP MEEEE!!!

Answers

Answer:

x= 9

y= 3 root 3

Step-by-step explanation:

to find the shorter leg length you have: hypotenuse/2

[tex] \frac{6 \sqrt{3} }{2} = 3 \sqrt{3} [/tex]

to find the longer leg length you have: shorter leg × root 3

[tex]3 \sqrt{3} \times \sqrt{3} = 3 \sqrt{9 } = 3(3) = 9[/tex]

Given the two triangles shown, find the value of x.

Answers

Answer:

the value of x would end up being 25

The probability of raining on Saturday is 0.09. If today is Saturday, then find the
probability of raining today.
A. 0.63
B.0.49
C.0.37
D.1

Answers

Answer:

I Think it is A

Step-by-step explanation:

It is a because 9×7=63

The probability of raining today is equal to the probability of raining on Saturday, which is 0.09.

To find the probability of raining today, given that today is Saturday and the probability of raining on Saturday is 0.09, we can use conditional probability.

The conditional probability of an event A occurring, given that event B has already occurred, is denoted as P(A|B) and is calculated as follows:

P(A|B) = P(A ∩ B) / P(B)

In this case, event A represents the event of raining today, and event B represents the event of it being Saturday.

We are given that P(B) = 0.09 (the probability of raining on Saturday). Since today is Saturday, we know that event B has occurred.

Now, let's assume that event A and event B are independent. This means that the probability of raining today (event A) is not affected by whether it is Saturday (event B) or not.

Under the assumption of independence, we can say that P(A ∩ B) = P(A) * P(B).

Given that P(B) = 0.09, we can substitute these values into the conditional probability formula:

P(A|B) = (P(A) * P(B)) / P(B)

= P(A)

Therefore, the probability of raining today is equal to the probability of raining on Saturday, which is 0.09.

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Refer to the second stanza of the poem, at the
top of page 2. What can be inferred about the
setting based on the evidence in this stanza?
5

Answers

Answer:

A: the forest is at this moment being threatened by severe weather

Step-by-step explanation:

What is the slope of a line parallel to the line whose equation is3x−4y=8?
A:-4/-3
B:-3/-4
C:3/4
D:4/3

Answers

Answer:

i think 3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

25x25=625 took the test

Answers

Answer: Correct

Step-by-step explanation:


Find the surface area of a right square pyramid with base edge length
2 feet and height 5 feet.

Answers

Answer:

24.4 sq. ft.

Step-by-step explanation:

Area of a right square pyramid is:

A = a^2 + 2(a)*square root of ((a^2/4) + b^2)

A = 4 + 4 (square root of ((4/4) + 25) = 4 + 4* square root of 26

A = 4 + 4*5.099

A = 4 + 20.396

A = 24.396 sq ft.

Last year, Jane spent $1,968 for natural gas. This year, she decided to use balance billing. What will her monthly
payment be this year?
A.$164 per month

B.$174 per month

C.$184 per month

Answers

Answer:

e a b $ 174 par month

Step-by-step explanation:

ar the

Jane's monthly payment this year using balance billing would be $164 per month.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

To determine Jane's monthly payment this year using balance billing, we need to divide the total amount she spent last year ($1,968) by the number of months in a year.

Total amount spent last year = $1,968

Number of months in a year = 12

So, Monthly payment = Total amount spent last year / Number of months in a year

Monthly payment = $1,968 / 12

Monthly payment ≈ $164

Therefore, Jane's monthly payment this year using balance billing would be $164 per month.

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There was 5/6 of the pizza left,and Malachi ate 1/2 of that.What fraction of the pizza did Malachi eat.

Answers

Answer:

She ate 1/10 of the pizza.

Hope this helps!!

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

a=18.7 or 19 rounded up

Step-by-step explanation:

Use Pythagoras Thereom

a^2=8^2+17^2

a^2=64+289

a^2=353

√353

a=18

Answer:

The length of missing leg is 15 cm.

Is this correct? if not, tell me what is the correct answer

Answers

Answer:

I think this is right

Step-by-step explanation:

i need help figuring out this question

Answers

Answer:

nre, nre

Step-by-step explanation:

Given

[tex]4b^2 + 16 = 0[/tex]

Required

Solve

[tex]4b^2 + 16 = 0[/tex]

Subtract 16 from both sides

[tex]4b^2 +16 -16 = 0 - 16[/tex]

[tex]4b^2 = - 16[/tex]

Divide both sides by 4

[tex]b^2 = -4[/tex]

Take square roots of both sides

[tex]b = \sqrt{-4[/tex]

[tex]\sqrt{-4} \to[/tex] Complex number

Hence, no real root exist

Pat was shopping and found a jacket with the original price of $120 on sale for $9.99. What was the percent decrease in the cost?

Answers

Answer:

91.675% decrease

Step-by-step explanation:

What is the simplified value of the expression below?

3 (8 minus 4) + 2 times 5.5

Answers

Answer:

23

Step-by-step explanation:

The circle graph shows how a family budgets its annual income. If the total annual income is $100,000, what amount is budgeted for Clothing? Savings 6% Insurance 11% Auto 14% Clothing 15% Food 18% Leisure 13% Housing 23%

Answers

Answer:

Step-by-step explanation:

125,000 x 16% = $20,000

(23%) 28,750 + (8%) 10,000 + (9%) 11,250 + (12%) 15,000 + (16%) 20,000 + (19%) 23,750 + (13%) 16,250 = $125,000

Answer:

15000

Step-by-step explanation:

15/100×100000

=$15000

How are they equivalent?

Answers

Answer:

A

Step-by-step explanation:

When you distribute what is in the parentheses you get 2.5m + 7m=9.5m, and then you add that to m aka 1m, which is 10.5m and they both end with -2.

Find the range of given data. 12, 35, 10, 16, 22, 40, 36, 50

Answers

Answer:

[tex]40[/tex].

Step-by-step explanation:

The range of a set of numbers is the difference between the maximum and minimum numbers.

In this set of number, [tex]50[/tex] is the maximum while [tex]10[/tex] is the minimum. Hence, the range would be [tex]50 -10= 40[/tex].

HELPPPPPPPPPPPPPPPPPPPPPPP

Answers

30

I DONT KNOW BUT THAT'S MY ANSWER HOPE IT HELP

Step-by-step explanation:

Is it +30 or - 30

If it was -ve under root it will be complex or imaginary number but it is a easy question

Which of the following equations is the translation 2 units up of the graph of y=Ixl?

Answers

Answer:

y=|x|+2

Step-by-step explanation:

Umm where’s the graph.

If the graph is up 2 units y=|x|+2

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