The population of Whoville is given by the LaTeX: y=56,000\left(1.03\right)^xy = 56 , 000 ( 1.03 ) xwhere x is the years since 2010.

a) What was the population in 2010?

b) What is the population in 2020?

c) When will the population reach 100,000?

Answers

Answer 1

Answer:

Step-by-step explanation:

(a) 56000*1.03^0 = 56000

(b) 56000*1.03^10 = 75259

(c) 56000*1.03^x = 100000

1.03^x = 1.7857

x = 19.6

So that will happen in the 2nd half of 2029


Related Questions

Enuncia 5 vectores que pertenecen a un mismo sub espacio

Answers

Answer:

what?

Step-by-step explanation:

. Naty bought a dress for $24.95 and a skirt for $14.95. The sales clerk said the total cost including 9.5% sales tax was 49.40. Below are the steps the clerk completed.

Step 1: 24.95 + 14.95 = 39.90 Step 2: 39.90 + 9.5 = 49.40

Are the clerk's steps correct? If she is incorrect, identify her mistake and explain her error. Explain in writing how to accurately calculate the sales tax, total cost, and state the correct total. ( Round final answer to the nearest hundredth)

Answers

Answer:

39.995=40.00

Step-by-step explanation:

    0.095 is tax he just added 9.5 he is not correct

What is the equation of the line with a slope of 4 and a y-intercept of —2?

Answers

the straight line equation is y = mx + c

m = 4
y-int = -2

thus , the equation is y = 4x - 2

Solve the equation.
-5r-1=7r+5

Answers

Answer:

r=-1/2

Step-by-step explanation:

(-5*-1/2=2.5)( 2.5-1=1.5) (7x -1/2= -3.5)-3.5+5 =1.5

I need help with my math homework

Answers

Answer:

See below, sorry for taking so long

Step-by-step explanation:

1.

A. Slope is rise over run or y2 - y1 divided by x2 - x1

We have (-5, 1) and (-3, 7)

7 - 1 / -3 - (-5)

6 / -3 + 5

6 / 2 = 3

Slope = 3

B. So point slope form is y - y1 = m(x - x1)

We know the slope so:

y - 1 = 3(x - (-5))

C. Using the point slope we can move things around to get slope-intercept:

y - 1 = 3(x + 5)

y - 1 = 3x + 15

y - 1 + 1 = 3x + 15 + 1

y = 3x + 16

D. Standard form is Ax + By = C:

y = 3x + 16

y - y = 3x + 16 - y

0 = 3x + 16 - y

0 - 16 = 3x + 16 - y - 16

-16 = 3x - y

3x - y = -16

Pablo rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 82 cents for each
mile driven. Pablo had to pay $131.93 when he returned the truck. For how many miles did he drive the truck?
miles

Answers

ok so do 17.95x82 then with that answer divide it by 131.93

Best Answer gets BRAINLIEST!!!

Answers

Answer:

3.5/1  

Step-by-step explanation:

so 3.5

It would be 3.5/1 because going up you get 3.5 and going to the right you get 1 hope it helps:)

31.8 dived 0.58 answer

Answers

Answer:

54.8275862069

Step-by-step explanation:

If you want rounded than 54

I don't understand 1/2 +1/6 what the answer

Answers

Answer:

4/6

Step-by-step explanation:

1/2=3/6+1/6=4/6

Answer:

4/6. If you reduce it you get 2/3

Step-by-step explanation:

In a study investigating the effect of car speed on accident severity, the vehicle speed at impact was recorded for 5,000 fatal accidents. For these accidents, the mean speed was 46 mph and the standard deviation was 13 mph. A histogram revealed that the vehicle speed distribution was mound shaped and approximately symmetric. (Use the Empirical Rule.) (a) Approximately what percentage of vehicle speeds were between 33 and 59 mph

Answers

Answer:

68%

Step-by-step explanation:

Given that:

Mean speed (m) = 46

Standard deviation (s) = 13

Approximately what percentage of vehicle speeds were between 33 and 59 mph

Obtain the Zscore for P(Z < x) for both values and subtract :

For x = 33

Zscore :

Z = (x - m) / s

Z = (33 - 46) / 13 = - 1

p(Z < - 1) = 0.15866 ( Z probability calculator)

For x = 59

Zscore :

Z = (x - m) / s

Z = (59 - 46) / 13 = 1

p(Z < 1) = 0.84134 ( Z probability calculator)

Hence, 0.84134 - 0.15866 = 0.68268 = 0.68

0.68 * 100% = 68%

26. Which is NOT a zero of the following function?
f(x)= x + 3x? – X-3
A. 1
B. -1
C. 3
D. -3

Answers

Answer:

i think it is B i think im not too aure

The answer is B! Hoped I was able to help! Mark brainly

Which is the best description for the graph?
O The graph is increasing everywhere.
O The graph is decreasing everywhere.
O The graph is increasing, then decreasing.
O The graph is decreasing, then increasing.

Answers

i think it’s the graph is decreasing everywhere
The graph is decreasing everywhere.

Please answer i need help

Answers

m = 2/5 x b = 4 because u divided both by 5

Help please I don’t understand

Answers

Answer:

$52.00

if you need the difference, its $28.00

Answer:

$52

Step-by-step explanation:

____________________

Answers

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

We can subtract 3x, add 12, and divide by 4.

  7x -12 = 3x +8

  4x -12 = 8 . . . . . . . . subtract 3x

  4x = 20 . . . . . . . . . . add 12

  x = 5 . . . . . . . . . . . . divide by 4

Help me please please

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. In how many days will the water level be 26 feet?

Answers

Answer:

L = 34 - 0.5d

21 feet

Step-by-step explanation:

The initial water level ; 34

the amount is rises per day; 0.5

"L" is the water level,

"d" is the days passed.

In order to find the water level, one will have to multiply the amount the water rises each day, by the days passed. Then one will have to subtract that from the initial water level, hence the equation formed is the following;

L = 34 - 0.5d

Substitute in 26 for "d", to solve for the water level after 26 days.

L = 34 - 0.5(26)

L = 34 - 13

L = 21

The length of a rectangle is 3 centimeters less than five times its width. Its area is 14 square centimeters. Find the dimensions of the rectangle.
Find the Width and the Length
W=
L=​

Answers

Answer:

The length of rectangle is 7 cm and width is 2 cm.

Step-by-step explanation:

Given that:

Area of rectangle = 14 square centimeters

The length of a rectangle is 3 centimeters less than five times its width.

Let,

L be the length and W be the width of the rectangle.

L = 5W - 3

Area of rectangle = Length * Width

14 = (5W-3)*W

[tex]14=5W^2-3W\\5W^2-3W-14=0[/tex]

Factorizing the equation;

[tex]5W^2-10W+7W-14=0\\5W(W-2)+7(W-2)=0\\(5W+7)(W-2)=0[/tex]

Either,

5W+7 = 0

5W = -7

W = -7/5

Or,

W-2 = 0

W=2

As width of rectangle cannot be negative, therefore,

Width = 2 centimeters

Length = 5(2) -3 = 10-3 = 7

Hence,

The length of rectangle is 7 cm and width is 2 cm.

Are these triangles congruent ?

And what is the theorem ?

I will give a brainlist for the correct answer :)

Answers

Answer:

Step-by-step explanation:

The two marked sides are congruent.

The angle that is marked is congruent to the other angle opposite it.

The line in the middle is equal to itself.

You have an angle between to equal sides.

The triangles are congruent by SAS

Solve the following quadratic equation.

(x - 16)2 = 256 The 2 is the exponent so please don't misunderstand it lol, thank you for who ever helps me.

A. x = 30 and x = 8

B. x = -30 and x = -8

C. x = -32 and x = 0

D. x = 32 and x = 0

Answers

Answer:

D. x = 32 and x = 0

Step-by-step explanation:

You can solve it a multitude of ways one of the easiest ways for me was the quadratic formula.

2.3 times 4.7 how to do it show anwser

Answers

Answer:

10.81

Step-by-step explanation:

See the picture to help u

Paul spent $48.00 on three tickets to a concert. Janis spent $90.00 on five tickets to the same concert. How much did each ticket cost for the cheaper individual ticket?

Answers

Answer:

Paul's tickets costed 16 dollars each

while

Janis' s tickets costed 18 dollars each

Answer:

$16

Step-by-step explanation:

48 divided by 3 is 16. 90 divided by 5 is 18. Paul is getting the better deal. Each ticket is $2 less.

An experiment has four groups and six observations in each group. What are the treatment degrees of freedom?a. 19b. 3c. 4d. 23e. 20

Answers

Answer:

3

Step-by-step explanation:

This experiment has four groups. Each of these groups have six observations

Total number of observations = 4 x 6 = 24

Treatment degrees of freedom can be gotten by using this formula

Df1 = K - 1

= 4-1

= 3

Therefore for this question, the treatment degrees of freedom is given as 3 and the correct answer option is b.

Answer:

Step-by-step explanation:

Hehe

You can save a significant amount of mortgage interest paid if you make one additional principal and interest payment a year. This will reduce a 30-year mortgage by around 6 years. It also increases your equity in the home faster. If you choose to pay one additional mortgage payment a year by paying 1/12 of it each month (make certain to note the extra money is to reduce principal), how much will you pay each month for a mortgage of $152,000 at 3.5% for 16 years?

Answers

Answer:

A = $237,120.00

I = A - P = $85,120.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

Solving our equation:

A = 152000(1 + (0.035 × 16)) = 237120

A = $237,120.00

The total amount accrued, principal plus interest, from simple interest on a principal of $152,000.00 at a rate of 3.5% per year for 16 years is $237,120.00.

qustion to give kagimatoby a brainly

Answers

Answer:

wdym

Step-by-step explanation:

A and B are independent events.
PA) = 0.6
P(B) = 0.4
What is P(AB)?
O A. 0.24
B. 0.6
O c.0.4
D. Not enough information

Answers

Answer:

not enough information

Answer:

It's 0.6

Step-by-step explanation:

PLEASE HELPPPP
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
O
1
2
3
4
y
6
14
22
30
38
Answer: y =
Submit Answer

Answers

Answer:

yo done so easy

Step-by-step explanation:

the answer is y=8x + 6

Total Cost of Computer Repair = $1,444.50

Shipping = 2 percent of Total Cost

If Sarah wanted to include a 15 percent gratuity, based on the total cost of the computer repair, excluding shipping, how would you find her new total cost?

Answers

Answer:

Its D

Step-by-step explanation:

0.02 ($1,444.50)

Answer:

D

Step-by-step explanation:

Express the area of the entire rectangle

Answers

Answer:

21x^4+56x^3+49x^2

Step-by-step explanation:

You need to multiply 7x^2 to each side (aka 7x^2*3x^2) and once you have each multiple you will add them all together. <3

I NEED HELP PLZ ITS FOR MY FINAL

Answers

Pls help me and explain why it’s that answers. Pls help me and explain why it’s that answers. Pls help me and explain why it’s that answers. Pls help me and explain why it’s that answers. Pls help me and explain why it’s that Pls help me and explain why it’s that answers. answers.

Based on data collected 5 years ago, a hotel expects that 24% of all guests will request smoking rooms. The hotel suspects that this proportion has decreased. To test this hypothesis, the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms. Conduct a test to check for evidence that the proportion of guests requesting smoking rooms has in fact decreased. Use a significance level of

Answers

Answer:

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

Step-by-step explanation:

Step(i):-

Given the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms.

Sample proportion

                          p = x/n = 39/223 = 0.174

Given Population proportion 'P' = 0.24

Given random sample size 'n' = 223

Level of significance ∝ =0.05

The critical value Z₀.₀₅ = 1.96

Null Hypothesis (H₀) : P=0.24

Alternative Hypothesis (H₁) : P≠ 0.24

Step(ii):-

Test statistic

            [tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]

           [tex]Z = \frac{0.174-0.24}{\sqrt{\frac{0.24 X 0.76}{223} } }[/tex]

           |Z| = | -2.3084|= 2.3084

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

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