A city has a population of 51,368. If the population grows 1.8% each year, what will the
population be in 5 years (rounded the nearest whole number)?

Answers

Answer 1

Answer:

56,161

Step-by-step Thought Process:

Use the equation: [tex]a(1+r)^x[/tex] to solve this problem. Let x= time in years, a= initial amount, and r= growth rate.

[tex]a(1+r)^x[/tex] =  [tex]51368(1+0.018)^5[/tex]

When you solve you get this number:

56,160.57516085

Round to the nearest whole number:

56,161


Related Questions

PLEASE HELP NO LINK ANSWER I WILL GIVE BRAINLY THING BOTH QUESTIONS PLEASE ​

Answers

1: glucose and 2 is stomach

Answer: 33. Glucose 34. stomach

Step-by-step explanation:

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?

A.
0.005

B.
0.015

C.
0.245

D.
0.735

Answers

Answer:

C

Step-by-step explanation:

Answer:

Here is the answer

Step-by-step explanation:

What fraction is equivalent to 10 and has a denominator of 100? (2 points)
6
100
7
60
100
o
600
100
a
60
10

Answers

Answer:

1000 / 100

Step-by-step explanation:

Answer:

ff

Step-by-step explanation:

The ratio of faculty members to students at a college is 1:60. There are
1,220 students. Approximately how many faculty members are there?

Answers

Answer:

either 20 or 21

Step-by-step explanation:

i think you just cross multiply like 1/60=x/1220

x=20.3 but you cant have part of a faculty member, so i believe its 20

(=^w^=)

answer and show proof for brainliest

Answers

Answer:

the answer is the 4th one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can cross B and D out because tho it has a circle on 36, the passage said greater than or equal to meaning it will be colored in.

We can then cross C out because it said less than on 48 which mean it will not be colored in on the circle, 48

I think I found the worksheet for you

https://www.lcps.org/cms/lib/VA01000195/Centricity/Domain/2053/Answer%20Key%20%20MORE%20Review%20Sheets%20for%20Solving%20and%20Graphing%20Inequalities.pdf

Just copy and paste that to ur search bar

PLEASE HELP!! I keep getting bots or trolls

How can you restrict the domain of the function f(x) = |x + 4| − 2 so the range of the inverse function, f -1(x), is [-4, ∞)?
A.
x ≥ 4
B.
x ≥ -4
C.
x ≥ 0
D.
x < 4
E.
x ≥ -2

Answers

Answer:

a

Step-by-step explanation:

same thing as last. nearest 100th

Answers

Answer:

452.39 mi^2

Step-by-step explanation:

A = πr^2

A = π (12mi)^2

A = 452.39 mi^2

Please mark Brainliest :D

Please mark Brainliest :D

I NEED HELP ASAP HELP HELP HELP....
According to the line plot, what is the total amount of time spent studying by the students who studied for 1/2 of an hour each?

Answers

Answer:

2.5hrs

Step-by-step explanation:

i dont know the answer please help me

Answers

Use the app Photomath it gives out the answer!!!!
9/4 ab ^8 or 2.25ab^8

Helppppp plsssssssssssssssssssssss

Thansk!

Answers

Answer:

60.

Step-by-step explanation:

we have a decimal so we need to get rid of it, move It over twice.

1.5, 15.

and do the same for 9

90., 900.

now we can divide

60.

15 900.

90

00

0

Consider the functions k(x) = x + 1, m(x) = x - 4, n(x) = x + 5, and f(x) = k(x) • m(x) · n(x). a. Determine the degree of the function f(x).​

Answers

Answer:

[tex]Degree = 3[/tex]

Step-by-step explanation:

Given

[tex]k(x) = x + 1[/tex]

[tex]m(x) = x - 4[/tex]

[tex]n(x) = x + 5[/tex]

[tex]f(x) = k(x) * m(x) * n(x)[/tex]

Required

The degree of f(x)

First, calculate f(x)

[tex]f(x) = k(x) * m(x) * n(x)[/tex]

[tex]f(x) = (x +1) * (x - 4) * (x + 5)[/tex]

Expand

[tex]f(x) = (x +1) * (x^2 - 4x + 5x - 20)[/tex]

[tex]f(x) = (x +1) * (x^2 + x - 20)[/tex]

Further Expand

[tex]f(x) = x^3 + x^2 - 20x +x^2 + x - 20[/tex]

Collect like terms

[tex]f(x) = x^3 + x^2 +x^2 - 20x + x - 20[/tex]

[tex]f(x) = x^3 + 2x^2 - 19x- 20[/tex]

The degree of f(x) is the highest power of x.

Hence:

[tex]Degree = 3[/tex]

Consider the inequality: y < -x + 4 So, the slope m= -1 and
Y-intercept b =4

true
or
false
helpe meee plz​

Answers

Answer:true

Step-by-step explanation:

Because your slope is -x or -1 and your y intercept is 4 or b=4

The given condition is true, the inequality: y < -x + 4 So, the slope m= -1 and Y-intercept is b =4.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that the inequality is,y < -x + 4

A straight line is a combination of endless points joined on both sides of the point.

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0. The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Compare the given inequality with the standard equation.

We get the slope m= -1 and Y-intercept b =4.

Thus, the given condition is true, the inequality: y < -x + 4 So, the slope m= -1 and y-intercept is b =4.

Learn more about inequality here:

brainly.com/question/19491153

#SPJ6

Plz help well mark brainliest if you are correct!

Answers

Answer:

12 centimenters.

Step-by-step explanation:

Answer:

6 cm

Step-by-step explanation:

We need to find the distance from R to s which is basically the radius, we know radius is r=d/2 to 12/2 (since 12 is diameter) is 6.

How do you do this questions

Answers

Answer:

Step-by-step explanation:

That should be right :) I tried

A cashier in a bank counts the total money as 450000 in denomination of ₹100 ₹500 and ₹100 notes the number of notes are in the ratio 1:2:5 find the number of notes of each denomination​

Answers

Answer:

1x+2x+5x=4,50,000

8x=450000

x=450000/8

x=56,250

put the value of x

100 rupee note = 56,250

500 rupee note =2*56250=112500

1000 rupee note =5*56250=281250

total value =56250+112500+281250=450,000

Hope this helps you!

You and your friend are
sharing 3/8 of a bag of candy.
How much of the bag will each
of you get if you share it
evenly?
Which operation will you
use for this problem (circle
one)
+ -
X =

Answers

Answer:

Each freind will get 3/16 of  bag of candy

and Multiplication

solve
8=56
7=42
6=30
5=20
3=??​

Answers

Answer:

3 = 6

Step-by-step explanation:

Every number is being multiplied by one lower than the number being used:

8 x 7 = 56

7 x 6 = 42

6 x 5 = 30

and so on.

Therefore 3 will be multiplied by 2, resultng in the number 6.

what is 15x-24x, this is very urgent please​

Answers

Answer:

-9x

Step-by-step explanation:

the answer is -9x. hope this helped!

What is the value of the expression below when x=1? 4x ^2 5x

Answers

Answer: 80

Step-by-step explanation:

Just substitute 1 for x in your expression and solve

Your home town has a sales tax of 7%. Fill in the chart below with the sales tax and final
price.
Item
Sales Tax (7%)
Total Price
Play Station 5 - $500
1
Hoverboard - $125

Answers

668.75

Step-by-step explanation:

500+125=625

625×7%=43.75

625+43.75=668.75

Are the following expressions equivalent?

A. 3x - 2x + 0.5x3x−2x+0.5x.
a. 1.5x1.5x

Answers

Answer:

1.5 x

Step-by-step explanation:

3x - 2x + 0.5x = 1.5 x

The value of a specific piece of machinery depreciates at a rate of 10% per year. The initial value of the machinery is $400. Write a formula that models the value of the machine after "t" years.
Please answer fast thank you

Answers

Answer: Y= 400 (1-0.1t)

Step-by-step explanation:

Y the value after depreciation period

400 initial value

0.1 dep rate

T time

A submarine was twenty feet below the surface of the water and descended an additional thirty-two and a half feet. Eventually the submarine ascended forty feet toward the surface of the water. What is the location of the submarine in the water?

12 feet below the surface of the water
12.5 feet below the surface of the water 52.5 feet below the surface of the water 92.5 feet below the surface of the water​

Answers

Answer: 12.5ft below the surface

Step-by-step explanation:

A circle has a radius of 12. what is the circumference of the circle

Answers

C=pi 2r
Pi 2 x 12
24 pi =75.36

Answer:

14 because of its addition

Step-by-step explanation:

πr²=x

=12+2+x

=14

PLEASE HELP!
I AM IN A HURRY

Answers

Answer:

Honestly I have no idea what is going on in this passage or whatever it is.

Step-by-step explanation:

Show work please!!!!!!!!

Answers

Answer: 18
Step by step: 1: 48 x 3/8
2: 48/1 x 3/8 3: 144/8. 4: 18

Answer:

18

Step-by-step explanation:

48÷8

=6x3

=18

:) hope it's help on your work

You stop for lunch at a local pizza shop where each pizza is cut into 8
equal slices. If you ate 3 slices of pizzas, what is the approximate area of
the remaining pizza if the diameter of the pizza is 14 inches?

Answers

Answer:

11 slices

Step-by-step explanation:

For the right triangle shown, what is the sine of angle C?

Answers

Answer:

0.5

Step-by-step explanation:

Angle C is 30°     since 180° minus 90°, the right angle B,  - 60°, angle A.

Sin 30° = 0.5

f is a function that is differentiable for all reals. The value of f '(x) is given for several values of x in the table below.
x -8 -3 0 3 8
f '(x) 5 4 0 -2 -4
If f '(x) is always decreasing, which statement about f(x) must be true?


a.
f(x) has a relative maximum at x = 0.

b.
f(x) is concave upwards for all x.

c.
f(x) has a point of inflection at x = 0.

d.
f(x) passes through the origin.

Answers

9514 1404 393

Answer:

  a.  f(x) has a relative maximum at x = 0.

Step-by-step explanation:

Since f' is decreasing, the second derivative is negative. That means the graph is concave downward, so any critical point is a relative maximum.

  f(x) has a relative maximum at x=0 (where f'(0) = 0)

__

There is no indication that the second derivative is ever zero, so there is no point of inflection.

No values of f(x) are given, so we cannot say whether the function passes through the origin.

A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance?

Saturday Sales Data ($) for Ski Hats

Saturday East Side Shop West Side Shop
1 548 523
2 493 721
3 609 695
4 567 510
5 432 532

Required:
a. State the decision rule for 5 percent level of significance.
b. Find the test statistic tcalc.

Answers

Answer:

At 10 percent significance level, there is not enough statistical evidence to suggest that there is a difference between mean

a. The decision rule for 5% level of confidence is;

For test statistic is less than 2.306 we fail to reject the null hypothesis

For a test statistic larger than 2.306 we reject the null hypothesis

b. The test statistic is approximately -1.2008

Step-by-step explanation:

The given data are;

No; 1, 2, 3, 4, 5

East Side Shop; 548, 493, 609, 567, 432

West Side Shop; 523, 721, 695, 510, 532

Therefore, we have;

The mean for the East Side Shop, [tex]\overline x_1[/tex] = 529.8

The standard deviation for the East Side Shop, s₁ = 68.751

The mean for the West Side Shop, [tex]\overline x_2[/tex] = 596.2

The standard deviation for the West Side Shop, s₂ = 102.7701

[tex]t_0=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}+\dfrac{s{2}^{2}}{n_{2}}}}[/tex]

Therefore, we have;

The null hypothesis is H₀; μ₂ - μ₁ = 0

The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0

[tex]t_0=\dfrac{(529.8-596.2)}{\sqrt{\dfrac{68.751^{2} }{5}+\dfrac{102.7701^{2}}{5}}} \approx -1.2008[/tex]

At degrees of freedom, df = n₁ + n₂ - 2 = 8, we have the critical-t = 1.895

Given that the critical-t is more than test statistic, we do not reject the null hypothesis, therefore, there is not enough statistical evidence to suggest that there is a difference between mean

Required;

a. At 5% level, we have critical-t = 2.306

Therefore, the decision rule for 5% level of confidence is that we fail to reject the null hypothesis when the magnitude of the test statistic is less than 2.306 and we reject the null hypothesis for a test statistic larger than 2.306

b. The test statistic is given as follows;

[tex]t_0=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}+\dfrac{s{2}^{2}}{n_{2}}}}[/tex]

[tex]t_0=\dfrac{(529.8-596.2)}{\sqrt{\dfrac{68.751^{2} }{5}+\dfrac{102.7701^{2}}{5}}} \approx -1.2008[/tex]

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