he population of a particular town is given by the function P(t) = 1,200(1.05)2t, where t is the time in years and P(t) is the population after t years. What is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) in 7 years?

Hint: Percentage Growth Rate = r ⋅ 100 in A = A0(1 + r)t (4 points)

1,200, 5% annually, and 1,689
1,200, 50% semiannually, and 20,503
1,200, 10.5% per year, and 2,414
1,200, 5% semiannually, and 2,376

Answer:

slope = 4, y- intercept = - 35

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2y = 8x - 70 ( divide through by 2 )

y = 4x - 35 ← in slope- intercept form

with slope m = 4 and y- intercept c = - 35

Answer:

  3

Step-by-step explanation:

we know that 23x7=161

so there will be 3 people on the last trip to the top

Answer:

21. 2x + 28

22. 18a - 17b

23. He flipped the numerator and denominator, 6.4 with 7.2 and he added the exponents instead of subtracting.

24. 8.8888888888889 × 10^{0}

Step-by-step explanation:

Answer:

y = 5 x + 7

Step-by-step explanation:

Answer:

f(x)= 0.90(0.59x)

Step-by-step explanation:

The 10% discount will make it so the senior citizens will pay 90% of the price. 90%=0.90

Also we need to know that 0.59x means how much money per pound the bananas cost.

So when you put it together, you should get f(x)=0.90(0.59x)

Answer: X=11

Step-by-step explanation:

Add 7 to both sides of the equation     4x-7=2x+15

4x-7+7=2x+15+7

Simplify

Add the numbers :4x -7 + 7 = 2 x + 15 + 7

Add the numbers:4 x = 2x + 15+7

down

4x=2x+22

Subtract

2 2 x 2 x from both sides of the equation

4 x = 2x +22   4x - 2x = 2x +22- 2x

Simplify

2x = 2x +22-2x

Divide both sides of the equation by the same term

2x = 22 2x/ = 22/2 x =22/2x =22/2  x=11

Answer:

Step-by-step explanation:

The period of a simple pendulum is

T = 2π√(L/g)

as going from zero velocity to max velocity takes 1/4 of a period

t = ¼(2π)√(L/g)

t = ½π√(L/g)

t = ½π√(0.864/9.81)

t = 0.466 s

9514 1404 393

Answer:

  B  2(−10x+2y−1)

Step-by-step explanation:

The greatest common factor is 2. Factoring that out gives the factorization shown in choice B.

  2(-10x +2y -1)

__

You could factor out -2. Doing that would give ...

  -2(10x -2y +1) . . . . . . . doesn't match choice C

Answer:

g(x) = x(x-2)^2(x-3) -3

Step-by-step explanation:

the translation from f(x) to g(x) is right 1 down 3.

vertical translations are easier since you just add the amount to everything. so we have f(x) - 3 = (x-1)^2(x-2)(x+1) -3.

for the horizontal translation, we make every x into x-1, so now we have (x-1-1)^2 (x-1-2) (x-1+1) - 3 or (x-2)^2(x-3)x -3

looking at the answers it is g(x) = x(x-2)^2(x-3) -3

Answer:

Your Answer is C!

Step-by-step explanation:

2x2 = 4

3x2 = 6

5x2 = 10

7x2 = 14

Answer:

inelastic is the answer

keep safe

If the price of the meal is less than $71, then the $25 gift card would be better than the 35% off coupon.

Let y represent the price of the meal.

For a $25 gift card to be applied, the final price is:

Final price = y - 25

For a 35% off coupon, the final price is:

Final price = y - 0.35y = 0.65y

y - 25 < 0.65y

0.35y < 25

y < 71.42

If the price of the meal is less than $71, then the $25 gift card would be better than the 35% off coupon.

Find out more at: https://brainly.com/question/25285332

Answer:

469 iPads were donated.

Step-by-step explanation:

The school purchased 396 iPads in total: 300+96

Now, you subtract how many the school purchased from the total amount of iPads to see how many iPads were donated: 865-396 = 469

The part wasted at the consumer or retail level is referred to as food waste. We make this distinction to address the root.

Answer:

Both of the freezing points would be °C

Answer:

7 1/5

Step-by-step explanation:

2 1/4 * 3 1/5

Change to improper fractions

2 1/4 = (4*2+1)/4 = 9/4

3 1/5 = (5*3+1)/5 = 16/5

9/4 * 16/5

Rewriting

9/5 * 16/4

9/5 * 4/1

36/5

Change back to a mixed number

7 1/5

Step-by-step explanation:

(4 - x)(x - 4) = 16 - x2 help me please sir please help me please sir fasthelp me please sir please help mehelp me please sir please help mehelp me please sir please help mehelp me please sir please help me

Answer:

Step-by-step explanation:

this equals 0.03

Answer:

2 imaginary; 2 real

You can factor it as ...

 f(x) = (x^2 -16)(x^2 +1) . . . . . . . . . x^2-16 is the difference of squares

 = (x -4)(x +4)(x^2 +1)

The two linear factors have real zeros; the quadratic factor has two imaginary zeros. There are 2 imaginary and 2 real zeros.

Step-by-step explanation:

Hope this helps:)

Answer:

25 text messages

Step-by-step explanation:

First of all you need to find how much money was added to his phone bill. 31.92-27.42 would equal 4.5. Then you would divide that number by 0.18 to find out the total text messages, which is 25

Answer:

x = 12

y = 0

Step-by-step explanation:

Sum them:

2x = 24

so x = 12

12 - y = 12

so y = 0

Answer:

The answer is 24 with remainder of 1

Step-by-step explanation:

First, solve the problem by seeing what number gives you 4 when multiplied by 2. That would be 2 (2x2=4)

you subtract 4 by 4 to get zero and bring down the nine

Then you see which number would get you close to nine without overlapping when multiplied by two. That would be 4 (2x4=8)

your answer would be 24 then you subtract 9 by 8 to get a remainder of 1

Answer:

4(3x-8)=52

divide both sides by 4

4/4(3x-8)=52/4

3x-8=13

add both sides by 8

3x-8+8=13+8

3x=21

divide both sides by 3

3x/3=21/3

x=7

Step-by-step explanation:

Step-by-step explanation:

4( 3x-8) = 52

12x - 32 = 52

Group all like terms

12x = 52 + 32

12x = 84

Divide both sides by 12

12/12x = 84/12

x = 7

Therefore, x = 7.

Hope it helps. Please mark me brainliest.

[tex]\huge\text{\bf Hey there!}[/tex]

[tex]\large\text{\bf Guide to remember}\downarrow\\\large\textsf{2 negatives = positive}\\\large\textsf{1 negative \& 1 positive = negative}\\\large\textsf{2 positives = positve}\\\large\textsf{1 positive \& 1 negative = negative}[/tex]

[tex]\large\text{This means your answer will most likely be a \boxed{\text{negative}} because}\\\large\text{you have a negative number (-9) \& a positive number (3).}[/tex]

[tex]\large\boxed{\mathsf{-9 \div 3}}\\\large\boxed{\mathsf{= \dfrac{-9}{3}}}\\\large\boxed{\mathsf{= \dfrac{-9\div3}{3\div3}}}\\\large\boxed{\mathsf{= \dfrac{-3}{1}}}\\\large\boxed{\mathsf{= -3\div 1}}\\\large\boxed{\mathsf{= -3}}\\\\\\\\\\\huge\boxed{\text{Therefore. your answer is: \boxed{\textsf 3}}}\huge\checkmark[/tex]

[tex]\huge\text{\bf Good luck on your assignment \&}\\\huge\text{\bf enjoy your day!}[/tex]

Answer:

Mary - 14

Mary's sister - 21

Step-by-step explanation:

Let x be the age of Mary = x

age of Mary's sister = x + 7

Add up to 35

x + x + 7 = 35

2x = 35 - 7

2x = 28

2x/2 = 28/2

x = 14

Now substitute the value of x

Mary = 14

Mary's sister = 14 + 7 = 21

21 + 14 = 35

Answer: 1060

Step-by-step explanation:

Answer:

Step-by-step explanation:

lets put the small pumpkin as x that means medium is 3x and large is 6x

so we have a equation

x+6x+3x=20

combine them

10x=20

divide by 10

x=$2

Answer:

2

Step-by-step explanation:

you really should stop the noetic tests

Answer:

AB=12

Hope this helps!

Answer:

5 MIN

Step-by-step explanation:

Answer:

0.002

Step-by-step explanation:

the digit "2" in this equation represents 0.02 or also 2/100

1/10 of 2/100 would be like multiplying 1/10 and 2/100 and that would get us 2/1000

2/1000 is also 0.002

0.002 is the value of the digit 2 in the number 1,947.5286​.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here we have,

the number 1,947.5286​.

the digit "2" in this equation represents 0.02 or also 2/100

1/10 of 2/100 would be like multiplying 1/10 and 2/100

and that would get us 2/1000

i.e.

2/1000 is also 0.002

Hence, 0.002 is the value of the digit 2 in the number 1,947.5286​.

To learn more on number click:

brainly.com/question/17429689

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