in 1997 the population of a small town was 900. If the annual rate of increase is about 0.6% which value below expresses the population five years later?

Answers

Answer 1

Answer:

[tex]927[/tex]

Step-by-step explanation:

[tex]900 \times (1+0.6\%)^5[/tex]

[tex]900 \times (1+0.6/100)^5[/tex]

[tex]900 \times (1+0.006)^5[/tex]

[tex]900 \times (1.006)^5[/tex]

[tex]900\times \:1.03036[/tex]

[tex]927.32594[/tex]

Answer 2

Answer:

927

Step-by-step explanation:

Total Population = 900

Annual rate of increase = 0.6 % of 900

=> [tex]\frac{0.6}{100}* 900[/tex]

=> 0.6 * 9

=> 5.4

Rate of increase in 5 years = 5 * 5.4

= 27

Population after five years = 900+27

=> 927


Related Questions

Solve for b. ab+c=d
B=a+c/d
B=a/(c-d)
B=(d-c)/a

Answers

Answer:

b = (d-c)/a

Step-by-step explanation:

ab+c=d

Subtract c from each side

ab+c-c=d-c

ab = d-c

Divide by a

ab/a = (d-c)/a

b = (d-c)/a

Answer:

B is my best guess!

Step-by-step explanation:

Solve the system.
2x + y = 3
-2g = 14 – 6x
Write each equation in slope-intercept form.
Y = ___x + ___
Y = ___x + ___

Answers

Answer:

2 x + y - 3 = 0

2 g + 6 x - 14 = 0 2 g = -2 (3 x - 7)

x = 7/3 - g/3

Step-by-step explanation:

Solve for x:

2 g = 14 - 6 x

2 g = 14 - 6 x is equivalent to 14 - 6 x = 2 g:

14 - 6 x = 2 g

Subtract 14 from both sides:

-6 x = 2 g - 14

Divide both sides by -6:

Answer: |

| x = 7/3 - g/3

Answer:

y= -2 x + 3

y= 3 x + -7

The slops and they y-intercepts are different

Intersect at one point

Exactly one solution

Step-by-step explanation:

Edge 2022

What is the equation of a line with a slope of -3 and a y-intercept of 4

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

So the -3 is the slope and the slope always has an x and the y intercept is b which is 4

Answer:

y = -3x + 4

Step-by-step explanation:

slope-intercept form: y = mx + b

Note that: m = slope

y- intercept = b

m = slope = -3

y-intercept = b = 4

Plug in the corresponding number to the corresponding variables:

y = mx + b

y = -3x + 4 is your answer.

~

Lucas is selling ribbons to raise money—PLEASE HELP will mark brainliest

Answers

Answer:

184

Step-by-step explanation:

46 divided by .25

Answer:

200 Ribbons

Step-by-step explanation:

To break even Lucas needs to sell 200 ribbons --> this is because, =>

let's make an expression for this equation -->

x = amt. of ribbons

y = expense or revenue

x(0.25) = y + x(0.02)

Let's plug he given in --> 0.25x = 46 + 0.02x -->

now we can solve => x = 200

Hope this helps!

What is the equation of the line?

Answers

Answer:

y = -7

Step-by-step explanation:

As the slope is m = 0, that means there is no slope. All values of x in the domain will always output -7. Therefore, your equation would be y = -7.

Answer:

y = -7

Step-by-step explanation:

Use the formula:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope of the equation is equal to 0.

The y-intercept is at (0, -7)

y = (0)x + -7

y = -7

The equation of the line is y = -7.

George Washington was born on 2-22-1732. He died in 1799 at the age of 67. The month in which he died and the day of the month on which he died are consecutive even integers whose product is 168. When did Washington die? month day year

Answers

Answer:

George Washington died on December 14th, 1799

Numerical with the arrangement: month - day - year

12 - 14 - 1799

Step-by-step explanation:

In the question, we are told that: the month in which he died and the day of the month on which he died are consecutive even integers whose product is 168.

Therefore,

If one positive even integer = Month he died is represented by x

The second consecutive even integer = Day he died = x + 2

Their product =

x ( x + 2) = 168

x² + 2x = 168

x² + 2x - 168 = 0

We factorise

x² + 14x - 12x - 168 = 0

(x² + 14x) - (12x - 168) = 0

x(x + 14) - 12(x + 14) = 0

(x - 12)(x + 14) = 0

x - 12 = 0, x = 12

x + 14 = 0 , x = -14

Our answer cannot be a negative interger, hence x = 12

So the first positive even integer = 12

The second positive even integer = x+2 = 12 + 2 = 14

Therefore, the month he died = n = 12th month = December

The day he died = n + 2 = 14 = 14th day.

Hence, George Washington died on December 14th, 1799

Numerical with the arrangement: month - day - year

12 - 14 - 1799

What is the solution to the equation 2n3=n+145? Enter your answer in the box. n =

Answers

I just took the test and the answer is n= 6

Answer:

n=6

Step-by-step explanation:

The sum of seven times a number—
PLEASE HELP!

Answers

Answer:

x = 6

y = 4

Step-by-step explanation:

Let the two numbers be x and y

Condition 1:

7x+3y = 54 -----------(1)

Condition 2:

x = 2+y -----------------(2)

Putting (2) in (1)

=> 7(y+2)+3y = 54

=> 7y+14+3y = 54

=> 10y = 54-14

=> 10y = 40

Dividing both sides by 10

=> y = 4

Now putting y = 4 in eq(2)

=> x = 2+4

=> x = 6

Answer:

[tex]4\\6[/tex]

Step-by-step explanation:

[tex]7x+3y=54\\x=y+2[/tex]

[tex]7(y+2)+3y=54\\7y+14+3y=54\\10y+14=54\\10y=40\\y=4[/tex]

[tex]x=y+2\\x=4+2\\x=6[/tex]

please fine area of abc im dumb and just need a quick answer please help no explanation needed

Answers

Answer:

6

Step-by-step explanation:

Because triangles ADC and ACB are similar:

[tex]\dfrac{3}{1.8}=\dfrac{AB}{3} \\\\\\AB=5 \\\\\\CB=\sqrt{5^2-3^2}=4[/tex]

The area of ABC is therefore bh/2=3*4/2=6.

Hope this helps!

Find the difference
[tex]( - {3x}^{3} - {7x}^{2} + 5x - 4) - ( {6x}^{2} - 8)[/tex]

Answers

Answer:

Step-by-step explanation:

I’m stuck on this math problem

Answers

Answer:

C.

Step-by-step explanation:

You can eliminate A and B because they square root graphs. You are left with C and D. C is the correct choice because the graph is being reflected across the x-axis, shown by the negative.

Alternatively you can graph each equation on a graphing calc and choose the best answer.

Help plz will give brainliest

Answers

Answer:

150

Step-by-step explanation:

[tex]30\% \times 500 \\ 0.3 \times 500 \\ = 150[/tex]

Answer: the answer is 150

Step-by-step explanation:

30% x 500

0.3 x 500

= 150

Identify the parent function of f(x)=(x+3)3

Answers

Answer:

g(x) = x^3

Step-by-step explanation:

f(x)=(x+3)^3

The parent function is

g(x) = x^3

The function was shifted to the left 3 units from the parent function

f(x) = ( x- -3) ^3

f(x) = ( x+3) ^3

(parent function) f(x) = (x+3)3

what is the area of the obtuse triangle given below

Answers

Answer:

The answer is A

Step-by-step explanation:

The formula used to find the area of a triangle is 1/2base *height

The base is 16 so half of 16 is 8 then multiply it with the height 8 to get 64.

Area of obtuse triangle is 64 sq. units

What is obtuse triangle?

"A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called obtuse-angled triangle or obtuse triangle."

Given

Base of triangle = 16

Height of triangle = 8

Formula to find the area of obtuse triangle

A = [tex]\frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]

A = [tex]\frac{1}{2}[/tex] × [tex]16[/tex] × [tex]8[/tex]

A = 8 × 8

A = 64

Hence, Area of obtuse triangle is 64 sq. units

Learn more about obtuse triangle here

https://brainly.com/question/1581660

#SPJ2

Jenny just went shoe shopping. Now she has 5 more pairs of shoes than her brother does. Together, they have 25 pairs of shoes.
Jenny has
pairs of shoes, and her brother has
pairs of shoes.

Answers

Answer:

jenny got 15 pair of shoes

her bro got 10 pairs of shoes

Step-by-step explanation:

Jenny: 15 shoes

Brother: 10 shoes

What type of number is 104i+27?

A) Real

B) Imaginary

C) Complex

Answers

Answer:

Complex

Step-by-step explanation:

104i + 27

This has a real component 27

and an imaginary component 104i

That makes this complex

this graph shows the solution to which inequality? (3,2) (-3,-6)

Answers

Answer:

y > 4/3 x  - 2.

Step-by-step explanation:

First find the equation of the dashed line:

The slope (-6-2)/(-3-3)

= -8/-6

= 4/3.

y - y1 =m(x - x1)   where m = slope and (x1,y1) is a point on the line.

y  - 2= 4/3(x - 3)

y =  4/3(x - 3) + 2

y = 4/3 x  - 2

As the shading is above the line the answer is

y > 4/3 x  - 2.

Answer: A

Y>4/3x-2

Step-by-step explanation:

Find all the interior angle measures of triangle ABC, if m∠A = 3x + 10, m∠B = 5x − 1, and m∠C = x. answers: m∠A = 60°, m∠B = 94°, m∠C = 26° m∠A = 67°, m∠B = 90°, m∠C = 23° m∠A = 67°, m∠B = 94°, m∠C = 19° m∠A = 67°, m∠B = 92°, m∠C = 21°

Answers

Answer:

Step-by-step explanation:

Total interior angles in a triangle=180 degrees

That is: 3x + 10 + 5x - 1 + x =180

9x+9=180

9x=180-9

9x=171

x=171/9

x=19

Therefore

Angle A =67 degrees

Angle B= 94 degrees

Angle C = 19 degrees

find the axis of symmetry of this parabola y=-x^2-2x-5 write your answer as an equation

Answers

Answer:

axis of symmetry: x=-1

Step-by-step explanation:

These triangles ARE similar! Which reason proves it?
Circle one:
AA~
SSS~
SAS~
SHOW CALCULATIONS to verify they are similar!

Answers

Answer:

I would say AA

Step-by-step explanation:

try to separate the picture to see the bigger picture and you can do it.

If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).

A. 3x – 6x + 2
B. 3x + 6x + 2
C. 17x – 2
D. 3x + 14x – 2

Answers

Answer:

a is answer correct i think

Step-by-step explanation:

can anyone help pls. 10 points​

Answers

Answer:

There is an average of 3.75 people per family (Also known as 4, because you can't have 0.75 of a person)

Step-by-step explanation:

[tex]\frac{1+1+1+2+2+3+3+3+3+3+3+3+4+4+4+4+4+4+4+4+4+4+4+4+4+5+5+5+5+5+5+5+5+5+5+5}{36}[/tex]

(1x3)+(2x2)+(3x7)+(4x13)+(5x11)=135
135/36=3.75
=4

The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle? Answers= A. 12 cm B. 24 cm C. 46 cm D. 60 cm

Answers

Answer:

The height of the triangle is 24 cm.

In STU, SU =18 and TU =13. Find m

Answers

Answer:

m=22.2

Step-by-step explanation:

By using the Pythagorean’s theorem i.e

hypotenuse^2=opposite^2+adjacent^2

Where

Hypotenuse =unknown

Opposite =18

Adjacent =13

Hyp^2=18^2+13^2

Hyp^2=324+169

Hyp^2=493

Hyp=sqrt 493

Hyp=m=22.2

Natalia wants to attend Louisiana State University. One year at Louisiana State University costs approximately $24,000. She currently has $4,000 in savings. Natalia has received a one-time grant of $1,500 and an annual academic scholarship for $3,500. She plans to enroll in the work study program that will pay $12,000 annually for part-time work. How much will Natalia need to borrow in student loans in order to attend Louisiana State University for 4 years?

Answers

Answer:

He needs to borrow $28,500 to attend the University for 4 years.

Step-by-step explanation:

One year at the University costs $24,000. The total she has to pay are 4 * $24,000 = $96,000

minus the $4,000 she has in savings: $96,000 - $4,000 = $92,000

minus the $1,500 she received one time: $92,000 - $1,500 = $90,500

minus $3,500 per anual

           4* $3,500 = $14,000            

           $90,500 - $14,000 = $76,500

minus $ 12,000 per anual

            4 * $12,000 = $48,000

            $76,500 - $48,00 = $28,500

Complete the table of ordered pairs for the given liners equation

Answers

Answer:

Step-by-step explanation:

Given equation of the line is,

y = -x + 1

We will get the output values (y-values) from the given equation for different input values (x-values).

For x = 0,

y = 0 + 1

y = 1

For x = -1,

y = -1 + 1

y = 0

For x = -6,

y = -6 + 1

y = -5

So the table of the ordered pairs will be,

x        0         -1          -6            

y       1           0         -5

40% as ounces
Pls help

Answers

Answer:

that equals 5 cups

Step-by-step explanation:

40% in ounces is 5 cups

Step-by-step explanation:

If you divide the total amount of cups it takes to take the next measurement it comes to 5 cups.

Find the slope of the line that passes through (-38, 100) and (-37, 5).

Answers

The slope between two points is:  (change in Y) / (change in X) .

Slope = (-95) / (1)

Slope = -95

Step-by-step explanation:

[tex](-38, 100) and (-37, 5). \\ x1 = - 38 \\ y1 = 100 \\ x2 = - 37 \\ y2 = 5[/tex]

[tex]m \: = \frac{y2 - y1}{x2 - x1} \\ m \: = \frac{5 - 100}{ - 37 - 38} \\ m = \frac{ - 95}{ - 75} [/tex]

[tex]m = \frac{19}{15} [/tex]

A line is drawn through the point (-1,-1), parallel to the line 2x-3y+9=0. Where will it cross the x-axis?

Answers

Answer:

2x-3y-1=0I hope I'm correct.

Step-by-step explanation:

[tex]2x-3y+9=0\\Rearrange -in-form-of : y = mx+b\\-3y=0-9-2x\\-3y=-2x-9\\\frac{-3y=-2x-9}{-3} \\y =\frac{2}{3} \\\\For- parallelism- , m1=m2\\One -point- form (-1,-1)\\x1 = -1\\y1 = -1 \\m = \frac{2}{3}\\ y -y1=m(x-x1)\\y -(-1)=\frac{2}{3} (x-(-1))\\y+1=\frac{2}{3}(x+1)\\y+1=\frac{2}{3}x + \frac{2}{3}\\\\y = \frac{2}{3}x + \frac{2}{3}-1\\\\y = \frac{2}{3}x - \frac{1}{3}\\Multiply- through-: by 3 \\3[y = \frac{2}{3}x - \frac{1}{3}]\\\\3y = 2x -1\\Answer = 2x-3y-1=0[/tex]

^^^^^^^^^^^^^^^^^^**^^^^^^^^^^^^^

which of the following is a qualitative statement that is reasonable based on the data? A The fewest number of cars at home is 0 B Most students have 2 or fewer cars at home C Most students have 3 or more cars at home D The median number of cars at home is 3

Answers

Answer:

B

Step-by-step explanation:

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I would really appreciate it if you could help me please Levi would like to use a credit card to make a $3000 purchase. He is considering two credit options. The first requiresa down payment of $1000 followed by monthly payments of $125. The second requires a down payment of $1300followed by monthly payments of $110. The two options accumulate the same amount of interest and require thesame number of monthly payments.What is the amount of interest for this loan? On March 31. 2019, Home Decorating Pavilion received a bank statement showing a balance of $9,810. The balance in the firm's checkbook and Cash account on the same date was $10,276. The difference between the two balances is caused by the items listed below. a. A $2,935 deposit made on March 30 does not appear on the bank statement. b. Check 358 for $515 issued on March 29 and Check 359 for $1,710 published on March 30 have not yet been paid by the bank. c. A credit memorandum shows that the bank has collected a $1,200 note receivable and interest of $120 for the firm. d. A service charge of $31 appears on the bank statement. e. A debit memorandum shows an NSF check for $555. The check was Issued by Dane Jarls, a credit customer.) f. The firm's records indicate that Check 341 of March 1 was issued for $900 to pay the month's rent. However, the canceled check and the listing on the bank statement show that the actual amount of the check was $800. g. The bank made an error by deducting a check for $590 issued by another business from the balance of Home Decorating Pavilion's account. Required: 1. Prepare a bank reconciliation statement for the firm as of March 31, 2019. 2. Prepare a bank reconciliation statement for the firm as of March 31, 2019. (Enter all amounts as positive values.) how does the underlined sentence contribute to the theme that culture can limit your thinking Based on "Ain't I a Woman?," how did Truth most likely feel about the anti-suffragist idea that women were too sentimental and emotional to be involved in politics? What will apple, potato, and onion all taste if you eat them with your nose plugged ? The expected average rate of return for a proposed investment of $636,800 in a fixed asset with a useful life of 4 years, straight-line depreciation, no residual value, and an expected total net income of $191,560 for the 4 years is (round to two decimal points) up?13.Calculate the number of joules of heat needed to change 50 grams of water by50'C. Is this a Rattle snake a Garter Snake a Viper Snake Or a Cobra In the interval 0 degrees < x < 360 degrees, find the values of x for which cos x = 0.7252. Give your answers to the nearest degree. Match the description to the term.1. bridge between thoughtsDewey Decimal System2. note at the bottom of a source cardencyclopedia article3. library cataloguing systemannotation4. "three types of stairs"transition5. general information sourcelimited topic6. (Smithson and Foreman 62)."architecture"correct parenthetical7. broad subjectdocumentation What is 12 1/2 - (-4 1/2) please help.. GP is geometric progression NEED MATH HELP NOW!!! PLEASE HELP!!! 6 2hen+3pens-5anchors match the term with the definition I NEED HELP PLEASE, THANKS :) What does it mean when white light is diffracted and at a particular location the color seen is blue? Match the fallacy with its name. Victoria enjoys dance class; all girls enjoy dance class. When The Clock by Christian Marclay is screened it is shown in real time, in essence making it function as a clock. Plato physical fitness final test. how many questions are on it