You and two friends buy snacks for a field trip. Using the
information given in the table, determine the price per pound for mixed nuts,
granola, and dried fruit.

Answer:

a) The exponential growth function

P(t) = 5,690,000(1.0287)^t

b) 6,742,868.7374 million

c) 12.04 years

d) 2439.0243902

Step-by-step explanation:

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​

The formula for exponential growth is given as:

P(t) = Po( 1 + r) ^t

Where P = Population size after time t

Po = Initial population size

r = Growth rate in percentage

t= time in years

a) Find the exponential growth function.

P(t) = Population size after time t

Po = Initial population size = 5.69 million

r = Growth rate in percentage = 2.87% = 0.0287

t= time in years

The Exponential growth function

P(t) = 5,690,000(1 + 0.0287)^t

P(t) = 5,690,000(1.0287)^t

​b) Estimate the population of the city in 2018. ​

From 2012 to 2018 = 6 years

t = 6 years

Hence,

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^6

P(t) = 5,690,000(1.0287)^6

P(t) = 6,742,868.7374 million

c) When will the population of the city be ​8 million?

P(t) = 8,000,000

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1.0287)^t

Divide both sides by 5,690,000

8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000

= 1.4059753954 = 1.0287^t

Take logarithm of both sides

log 1.4059753954 = log 1.0287^t

Log 1.4059753954 =t Log 1.0287

t = Log 1.4059753954/Log 1.0287

t = 12.041740264

t = 12.04 years

​d) Find the doubling time.

The formula is given as 70/Growth rate

= 70/0.0287

= 2439.0243902

Answer:

Yes, all equilateral triangles are acute.

Step-by-step explanation:

yea

hope this helps :)))

Answer:

Domain:(−∞,∞),{x|x∈R}

Step-by-step explanation:

G and H are 5 units apart.

G is at (-3, -4), and H is at (2, -4)

-3 and 2 are 5 units apart, -3+5=2. 2-5=-3

Answer:

B

Step-by-step explanation:

Answer:

$5

Step-by-step explanation:

Answer:

C. Obtuse

Step-by-step explanation:

Answer: No. The two frames does not have the same ratio of white shells to orange shells.

Step-by-step explanation:

Ryan glued 9 white shells and 15 orange shells to the border of his frame. This will give us a fraction of:

9/15 = 3/5

The ratio is 3:5

Russell glued 8 white shells and 10 orange shells to the border of his frame. This will give us a fraction of:

= 8/10 = 4/5

The ratio will be 4:5.

Therefore, the two frames does not have the same ratio of white shells to orange shells.

Answer: I think it would be 112.

Step-by-step explanation:

Answer:

Let's solve your inequality step-by-step.

3600+1.02x<2000+1.04x

Step 1: Simplify both sides of the inequality.

1.02x+3600<1.04x+2000

Step 2: Subtract 1.04x from both sides.

1.02x+3600−1.04x<1.04x+2000−1.04x

−0.02x+3600<2000

Step 3: Subtract 3600 from both sides.

−0.02x+3600−3600<2000−3600

−0.02x<−1600

Step 4: Divide both sides by -0.02.

−0.02x

−0.02

<

−1600

−0.02

x>80000

Step-by-step explanation:

Step-by-step explanation:

please i work on by paper worksheet, see it

how can i work it

Here we have been clearly given with Principal, time period and rate of interest.

We have to calculate the simple Interest.

As we know that simple Interest is calculated by the formula :

Where,

Putting the values :

[tex]: \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 10 \times 4}{100}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times \cancel{10} \times 4}{ \cancel{100}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 1 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{ \cancel{125} \times 4}{ \cancel{10}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 4}{ 2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times \cancel{4}}{ \cancel2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 2}{1}} \\ \\ : \: \implies \: \sf{S.I. \: = \: 25 \times 2} \\ \\ : \: \implies \: \red{\bf{S.I. \: = \: 50}} [/tex]

Visit more :

Answer:

sss axiom

Step-by-step explanation:

Answer:

wa pow

Step-by-step explanation:

Answer: 4.5

Hope this helps :)

The coefficient(s) of the expression is/are 7, 1

Use a comma to separate answers as needed.)

The constant(s) of the expression is/are 8

(Use a comma to separate answers as needed.)

What error might Jake have made?

OD. Jake did not include the coefficient 1.

Click to select your answer's

Answer:

The probability is 30/182

Step-by-step explanation:

The total number of people to select from is

8 + 4 + 2 = 14

We want to select two who are not democrats

Probability of selecting first one who is not a democrat will be 6/14

Probability of selecting a second who is not a democrat will be 5/13

So the probability of the two not being democrats will be 6/14 * 5/13 = 30/182

Answer:

4.83 * 10^9

Step-by-step explanation:

Here, we want to express the given number in scientific notation

What we have to do here is to place the decimal number at the back of the first non zero number

The first non zero number is 4

So

let us count the number of digits after the first non zero number

That will be 9

So we make this the power of 10

And our answer will be;

4.83 *10^9

=================================================

Work Shown:

L = 165000 = loan amount or amount financed

r = 0.06725  = annual interest rate in decimal form

i = r/12 = 0.06725/12 = 0.005604167

i = 0.005604167 = approximate monthly interest rate in decimal form

n = number of months = 30*12 = 360 months

P = unknown monthly payment

--------------

Apply the monthly payment formula

P = (L*i)/( 1-(1+i)^(-n) )

P = (165000*0.005604167)/(1-(1+0.005604167)^(-360))

P = 1067.44636311118

P = 1067.45

Answer:

32768 ways

Step-by-step explanation:

Given

Marbles = 8 marbles

Selection = 5 (with replacement)

Required

Determine the number of ways

Because it is a selection with replacement; each selection is as follows:

[tex]First = 8\ marbles[/tex]

[tex]Second = 8\ marbles[/tex]

[tex]Third= 8\ marbles[/tex]

[tex]Fourth = 8\ marbles[/tex]

[tex]Fifth = 8\ marbles[/tex]

Total number of ways is then calculated as:

[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]

[tex]Total = 32768[/tex]

Answer:

24- 7 = 17

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Let's first try to solve this.

Notice that there is a 46x term on both sides, so we can subtract both sides by 46x, leaving us with:

-23 = 23

Well... this is a false statement: -23 does not equal 23.

Thus, this as no solution.

Answer:

No solutions found

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

46*x - 23 - (46*x + 23) = 0

Equations that are never true

Solve : -46  =  0

This equation has no solution.

A non-zero constant never equals zero.

Answer:

-1

Step-by-step explanation:

1. Substitute n with 6 because n=6

2. Then you simply solve both sides so (6-6)-(5-6) because n=6

3.so then you get the absolute value of 0 subtracted by the absolute values of -1

4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1

5. So the final answer is -1

Sorry if this was confusing, I’m really bad at explaining. :)

Answer:

|n-6|-|5-n|

=|6-6|-|5-6|

=|0|-|-1|

=0-1

=-1

Answer:

Yes, Nadhii and Dylan agree

Step-by-step explanation:

You created a new playlist, and 100 of your friends listened to it and shared if they liked the new playlist or not. Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25. Dylan said that for every three people who liked the playlist, one person did not.

Do Nadhii and Dylan agree? Prove your answer using the values of the ratios.

Total number of friends who listened = 100

Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25.

Nadhii

Number of people who liked the playlist : Number of people who did not like the playlist

= 75 : 25

= 75 / 25

= 3/1

= 3 : 1

Dylan said that three people who liked the playlist, one person did not.

Number of people who liked the playlist : Number of people who did not like the playlist

= 3 : 1

Yes, Nadhii and Dylan agree

Answer:

C

Step-by-step explanation:

The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

The given decimal number is 9.78778777....

We need to check whether the given decimal number is a rational or irrational number.

Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.

Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

To learn more about rational and irrational numbers visit:

https://brainly.com/question/3386568.

#SPJ2

Answer:

x = 9.

Step-by-step explanation:

If you meant (x + 13) = 24, then we first must subtract 24 by 13.

24 - 13 = 9

Now, check your work by replacing the "x" with 9.

(9+ 13) = 24

24 = 24 <----- This is a true statement.

Therefore, x = 9.

Hope this helps! :D