The function f (t) = 12(1 +0.03) can be used to determine the population, in thousands of a town t years
since 1955. According to the function, what was the population of the town in 1955 and what was the percent
increase in population from year to year?
Enter a number in each box to correctly complete the sentence
The population of the town in 1955 was
people, and the percent increase in
population from year to year was

Answers

Answer 1

f= the original amount of people, a steady growth throughout the years

t=time

In 1955 the population was 12 thousand. Compared to the current population of 12.36 thousand, the population then was roughly 77%.

Answer 2

A function assigns the values.  The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The function that gives the population of the town is given, therefore, the following can be written,

Since the year 1955 the value of t=0. Therefore, The population of the town in 1955 was 12 thousand.

The percentage increase in population from year to year is 3%.

Hence, The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.

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Related Questions

A total of 525 records of a hospital were reviewed and 175 of the patients had a heart problem, 150 a respiratory problem, 125 some type of trauma and 75 had other issues. Find the following.



a. P(some type of trauma)



b. P(a heart or respiratory problem)



c. P(did not have a heart problem)

Answers

Answer:

a

Step-by-step explanation:

Classify the polyhedron. select all that apply-
•non-convex
•non-regular
•convex
•regular

Answers

convex

non-convex

regular

non-regular

y is inversely proportional to the square of p, can be written as: y = O True O False​

Answers

Answer:

False

Step-by-step explanation:

It should be ∝ .. if that’s what your asking

What is equivalent to -2(x-5)?

Answers

Answer:

-2x+10

Step-by-step explanation:

-2(x-5)

Distribute

-2*x -2*-5

-2x+10

Type you answer in
Amy worked 37.5 hours last week.
She is paid £11.50 per hour.
Her total deductions last week were
£116.30.
What was Amy's net pay last week?​

Answers

Answer:

Step-by-step explanation:

you roll one die and a spinner as shown below. what is the probability you roll and spin a 4?

Answers

Answer:

1/4

Step-by-step explanation:

Please you guys I need help!!!! I'll mark branliest !!!!


1. In triangle ABC, Angle A = 2X + 7, Angle B = 5X-15, and Angle C = 6X. What is the value of X and what are the measures of angles A,B, and C?


2. In a triangle XYZ, Angle X= 37 degrees, Angle Y = 45 degrees and Angle Z = 3x + 6. What is the value of X and what is the measure of Angle Z?

Answers

1.) 14.5
2.) X is 30.7 and Z is 98
Look at the uploaded pictures for work.

help pleaseeeeeeeeeeeeeee

Answers

Answer:

C.30

Step-by-step explanation:

Its a pattern that increases by $5 as it goes down.

What is an equation of the line that passes through the point (-4,5) and is
perpendicular to the line 4x + y = 7?

Answers

The gradient in the equation would be 1/4x

Which expression is equivalent to 5 (4x+3)-2

Answers

Simplifying Expressions

To simplify an expression means to write it in the simplest way possible. Ideally, there would be no parentheses and everything has been 'expanded'.

Solving the Question

We're given:

[tex]5 (4x+3)-2[/tex]

[tex]5 (4x+3)-2[/tex]

Open up the parentheses by multiplying each term by 5:

[tex]=5*4x+5*3-2\\=20x+15-2\\=20x+13[/tex]

Answer

[tex]20x+13[/tex]

quiz 8-2 trigonometry unit 8

Answers

Answer:

The results are presented below.

Question 1 - sin L = [tex]\frac{3}{5}[/tex]

Question 2 - tan N= [tex]\frac{4}{3}[/tex]

Question 3 - cos L = [tex]\frac{4}{5}[/tex]

Question 4 - sin N= [tex]\frac{4}{5}[/tex]

Question 5 - x=8.5

Question 6 - x=27.2

Step-by-step explanation:

For solving this question, you need to apply the right triangle properties and trigonometric ratios in each triangle.

Question 1

This question asks the sin L.  You can find this value from the trigonometric ratio of sin from given right triangle:

        [tex]sin L=\frac{opposite}{hypotenuse} \\\\ sin L=\frac{6}{10}=\frac{3}{5}[/tex]

Question 2

This question asks the tan L. You can find this value from the trigonometric ratio of tan from given right triangle:

        [tex]tan N=\frac{opposite}{adjacent} \\\\[/tex]

The question gives the adjacent side for N, but you need to find the opposite side from Pythagorean theorem.

       [tex]10^2=6^2+(ML)^2\\ 100=36+(ML)^2\\ (ML)^2=100-36\\ (ML)^2=64\\ (ML)=\sqrt{64} \\ (ML)=8\\ or \\ (ML)=-8[/tex]

There is not side with negative dimension, hence, ML=8. Now, you can find the tangent of N.

      [tex]tan N=\frac{8}{6} =\frac{4}{3}[/tex]

Question 3

This question asks the cos L. You can find this value from the trigonometric ratio of cos from given right triangle:

      [tex]cos L=\frac{adjacent}{hypotenuse}[/tex]

The adjacent side (ML) you found in the question 2. ML=8, therefore:

      [tex]cos L=\frac{adjacent}{hypotenuse}\\ \\ cos L=\frac{8}{10}=\frac{4}{5}[/tex]

Question 4

This question asks the sin N. You can find this value from the trigonometric ratio of sin from given right triangle:

      [tex]sin N=\frac{opposite}{hypotenuse} \\\\ sin N=\frac{8}{10}=\frac{4}{5}[/tex]

Question 5

You can find x from the trigonometric ratio of cos :

      [tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ cos 32=\frac{x}{10}[/tex]

From calculator, you have cos 32° = 0.8480. Then,

      [tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ 0.8480=\frac{x}{10}\\ \\ x=8.5[/tex]

Question 6

You can find x from the trigonometric ratio of sin:

      [tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ sin 54=\frac{22}{x}[/tex]

From calculator, you have sin 54° = 0.8090. Then,

      [tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ 0.8090=\frac{22}{x}\\ \\ 0.8090x=22\\ \\ x=\frac{22}{0.8090} \\ \\ x=27.2[/tex]

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Answer:

Step-by-step explanation:

1/2 (4x-8y) expanded​

Answers

Answer: 2x-4y

Explanation:
1/2 x 4 = 2
1/2 x 8 = 4

Answer:

Step-by-step explanation:

2x - 4y  is expanded

Can someone help me pls

Answers

Do they want you to label everything, what are they looking for?

Kate asked her friend what her favorite class at school is  how could she changed her questioning so that she can collect statistical data

Answers

Answer:

If Kate is trying to ask multiple people, Making a bar graph would be smart in order to know how much people liked what.

Step-by-step explanation:

Kate could ask all of the sixth grade students what their favorite class is.

What is a Statistical Data?

Statistical data is defined as the data which are collected and interpreted in statistics.

These data are the information about something.

Given that,

Kate asked her friend what her favorite class at school is.

In order for her to collect statistical data, there must be more data related to the same question.

Then she can interpret the data with a conclusion.

So, she has to ask more people the same question that she asked with her friend.

So she could ask all of the sixth grade students what their favorite class is.

Hence the question can be changed as Kate could ask all of the sixth grade students what their favorite class is.

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I need help with this multiple choice question I would really appreciate it if you help!

Answers

Step-by-step explanation:

B. not a rational number

Select the statement that describes this expression: 5 x 3 − (2 x 4) + 5. (2 points)

a
5 more than 3 subtract the product of 2 and 4 plus 5

b
5 times the product of 2 and 4 times 3, then add 5

c
Subtract the product of 2 and 4 from the product of 5 and 3, then add 5

d
5 more than the product of 5 and 3 plus the 2 times 4

Answers

Answer:

I believe the answer is either going to be B or C

Step-by-step explanation:

Answer:

obviously C: Subtract the product of 2 and 4 from the product of 5 and 3, then add 5

Step-by-step explanation:

plz mark as brainliest!

How do I solve for d(real answers only please)

Answers

9514 1404 393

Answer:

  multiply by (d/cos(36°))

Step-by-step explanation:

As with any division problem, the equation remains true if you swap the divisor and the quotient (short answer).

  cos(36°) = 16/d

  d = 16/cos(36°) = 16/0.8090169943749475 ≈ 19.77708763999635

  d ≈ 19.78

__

Here is the longer answer, with respects to the properties of equality. The multiplication and division properties of equality tell you equality only holds if the same operation is performed to both sides of the equal sign. So, when we say "multiply by __", we mean that operation to be performed on boths sides of the equation.

  [tex]\cos{(36^{\circ})}=\dfrac{16}{d}\qquad\text{given}\\\\d\cdot\cos{(36^\circ)}=\dfrac{d\cdot 16}{d}=16\qquad\text{multiply by $d$}\\\\\dfrac{d\cdot\cos{(36^\circ)}}{\cos{(36^\circ)}}=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{divide by $\cos{(36^\circ)}$}\\\\d=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{simplify}[/tex]

__

The two operations, multiply by d and divide by cos(36°) can be combined into one: multiply by d/cos(36°). Once you realize this has the effect of the quotient (cos(36°)) and the divisor (d) trading places, you realize you don't need to take 3 steps to do what you can do in 1 step.

_____

Comment on numerical precision

We have kept the 16-digit precision of the numbers shown in the question, "just because." The final answer has 4 significant digits, so there is no real need to keep more than about 6 significant digits.

The perimeter of an isosceles triangle is 45 feet. The length of the shortest side is 11 feet. Find the length of the other two sides (in feet)

Answers

9514 1404 393

Answer:

  17 feet

Step-by-step explanation:

The sum of the three side lengths is the perimeter.

  s + s + 11 = 45

  2s = 34 . . . . . . subtract 11

  s = 17 . . . . . . . . divide by 2

Each of the other two sides is 17 feet.

A company makes steel rods shaped like cylinders. Each rod has a radius of 4 centimeters and a height of 20 centimeters. The company uses, on average, 28,134.4cm3 of steel each hour to make these rods. How many rods does the company make, on average, each hour? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest hundredth

Answers

Answer:

1,172.3 cm³

Step-by-step explanation:

Find the volume of one rod, then divide the total volume of steel used by the volume of one rod.  The volume of one rod is

V = (πd²/4)h

d = 4 cm

h = 20 cm

Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V.  If the result is not an integer, then round down.

Add

20 + 4 = 24

Then

28,134.4 ÷ 24 = 1172.26

Rounded to the nearest 0.1 or  the Tenths Place = 1,172.3

Therefore, 1,172.3 rods will be made per hour.

what is the area of the triangle? no links just the answer plz.

Answers

Answer:

A = 25

Step-by-step explanation:

Base = |-2-(-7)| = |-2+7| = 5

equation of the line that includes the base

x = 6 (because it is parallel to y axis)

the height passes to the point (-4,-4) and must be perpendicular to the base

the equation of the line of the base hasn’t the slope expressed, so the line of the height has a slope equal to 0

so the equation of the line is y= -4

the point (6,-4) is where the two lines intercept and it is the point where the height hit  the base

height = |-4-6| = 10

A = (base x height)/2 = (5x10)/2 = 25

Which answer BEST describes the following step function graph?
1 point
Cost of T-shirts
200
15
Price Per Shirt
10
5
10
50
60 70
80 90
20 30 40
Number of Shirts
O The price of Tshirts goes up by $5 when the quantity of T-shirts is 20 or more
It costs $20 per shirt for the first 20 shirts purchased and then drops to $15 per shirt
if you purchase 21-40 shirts.
It costs $5 per shirt if you buy 40 or more shirts
It costs $20 per shirt regardless of how many shirt you buy

Answers

Answer:

omg what interesting i will see what i will come up with

which option has like terms?
a.2x^2 and 4y^2
b.xy and yz
c.3x and and 7x

Answers

Answer:

C) 3x and 7x

Step-by-step explanation:

Both terms in C have the same variable in which you can combine the terms to make 1. The other ones don't.

Answer:

c. 3x and 7x

Step-by-step explanation:

We have three pairs of two terms and are asked to determine which option has "like terms."

Like terms are two numbers with variables that are the same.

With this information, we can determine which is and which isn't like terms.

a. 2x^2 and 4y^2 are incorrect because the variables within the number do not match, 2x^2 and 4y^2.

b. xy and yz are incorrect because the variables also do not match, xy and yz.

c. is correct because the variables within the two numbers are the same. 3x and 7x.

Help me with the math pretty easy

Answers

100 and other one would be 80

Richard requests his annual Social Security Statement from the IRS each year. He wants to check how many Social Security credits he received
for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did
not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.
O
Ob
Ос
Od
1
4
3

Answers

Answer:

Statement from the IRS each year. He wants to check how many Social Security credits he received

for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did

not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.

O

Ob

Ос

Od

1

4

3

how fast does it take a baseball to reach the plate, when pitched by a professional pitcher in baseball?

Answers

Answer:

The distance from the pitcher's hand to home plate is 60 feet, 6 inches. So…… At 100 mph the ball covers 146.7 feet per second, or 0.412 seconds to get to the batter. Less than half a second!

Jim Has a monthly
budget of $2,780. His
housing payment is
$973. What percentage
of Jim's monthly budget
is spent on his housing
payment?

A. 35%
B. 29%
C. 65%
D. 71%

PLEASE HELP THIS IS DUE TODAY

Answers

Answer is d hope this helps have a great day and you have

what is the volume please this is for a quiz​

Answers

Answer:

2 61/162

Step-by-step explanation:

HELP PLS ASAP I HAVE 6 MINUTES NO LINKS

Answers



you could say if you knew how many cubes there were in total, you could subtract them

Help and quick! What is the greatest common factor of these numbers. 36 and 54

Answers

Answer:

18

Step-by-step explanation:

have a good day :)))))))

Answer:

18

Step-by-step explanation:

the gcf is 18

have a great day!

I need help on this.

Answers

Answer:

the first one

Step-by-step explanation:

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