The tax revenue that a small city receives increases by 3.5% per year. in 1990, the city received $250,000 in tax revenue. Determine the tax revenue in 1995 and in 2006.

Answers

Answer 1

Hello there! For this question, because the revenue increases, we will be compounding. The formula for coompounding is P(1 + r)^t, where P = initial amount, r = rate in decimal form, and t = time in years. First, let's add 1 into the rate. 3.5% is 0.035 in decimal form. 1 + 0.035 is 1.035. 1995 is 5 years from 1990 and 2006 is 16 years from 1990. Let's start by raising it to the 5th power. 1.035^5 is 1.187686306. Do not delete the number from your calculator. Multiply it by 250,000. When you do, you get 296,921.5764 or 296,921.58 when rounded to the nearest hundredth. We solved for 1995. Now, let's solve for 2006. 1.035^16 is 1.73398604. Again, do not delete the number from your calculator. Multiply by 250,000. When you do, you get 433,496.509957 or 433,496.51 when rounded to the nearest hundredth. There. Here are your answers:

1995: $296,921.58
2006: $433,496.51

Answer 2

Final answer:

To find the tax revenue in 1995 and 2006 for a city with an annual increase of 3.5%, we use the formula for exponential growth. The revenue in 1995 is calculated to be $296,923, and for 2006, it is calculated to be $438,995.

Explanation:

The tax revenue that a small city receives increases by 3.5% per year. To calculate the tax revenue for the years 1995 and 2006, we can use the formula for exponential growth: Final Amount = Initial Amount * (1 + Growth Rate)Number of Years.

For 1995, which is 5 years after 1990, the calculation would be:
Revenue in 1995 = $250,000 * (1 + 0.035)5
Revenue in 1995 = $250,000 * (1.035)5
Revenue in 1995 = $250,000 * 1.18769
Revenue in 1995 = $296,923

Similarly, for 2006, which is 16 years after 1990, the calculation would be:
Revenue in 2006 = $250,000 * (1 + 0.035)16
Revenue in 2006 = $250,000 * (1.035)16
Revenue in 2006 = $250,000 * 1.75598
Revenue in 2006 = $438,995

Related Questions

what is 6.345 divided by 0.09

Answers

The answer is 70.5. Hope it helps! :)

The answer is 70.5

I really hope this is right lol

The blue shape is a dilation of the black shape. What is the scale factor of the dilation?

Answers

We are going to evaluate a vertex of both forms.
blue shape:
(-5.10)
black shape:
(-1,2)
As one figure is the dilatation of another then:
k (-1,2) = (- 5,10)
From here we know:
-k = -5
Equivalently:
2k = 10
Where we conclude:
k = 5
Answer:
The scale factor of the dilation is:
k = 5

Answer:

the asnwer is 5

Step-by-step explanation:

i did this question

Camilla’s class played soccer for 2/3 hour. She played for 3/5 of the game. How much time did Camilla play? A 5/10 hour, B 6/15 hour, C 5/8 hour, D 6/8 hour. Will chose A as the correct answer. How did he get that answer?

Answers

The correct answer is B. 6/15 hour. Will got A because he didn't

Solution:

we are given that

Camilla’s class played soccer for 2/3 hour.

She played for 3/5 of the game.

we have been asked to find

How much time did Camilla play?

Here we are given total time of play for the whole class and camilla played part of that time so we will just multiply the total play time with the fraction of time that camilla played. That will give the actual play time of camilla.

So camila played for [tex]=\frac{2}{3}*\frac{3}{5} =\frac{6}{15}Hr[/tex]

Hence camilla played for 6/15 Hr.

Hence the correct option ois B.

when the figure below is rotated 90 degrees counterclockwise about the origin what would be the new coordinates of point c?

a (-5,3)
b (3,-5)
c (5,-3)
d (5,3)

Answers

Rotating a figure 90° counterclockwise about the origin results in an ordered pair (x, y) mapping to its image (-y, x). Thus point C, which is at (3, 5), will map to (-5, 3).

Final answer:

When a point is rotated 90 degrees counterclockwise about the origin, its new coordinates can be found by swapping the x and y coordinates and changing the sign of the new y coordinate. In this case, the new coordinates of point C would be (-3,-5).

Explanation:

When a point is rotated 90 degrees counterclockwise about the origin, its new coordinates can be found by swapping the x and y coordinates and changing the sign of the new y coordinate.

In this case, point C has coordinates (5,-3). When we rotate it, the new x coordinate becomes -3 and the new y coordinate becomes -5. Therefore, the new coordinates of point C would be (-3,-5).

Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 6 bulbs. In the second year, it produced 12 bulbs, and in the third year, it produced 24 bulbs. If this pattern continues, how many bulbs should Geoff expect in the eighth year?

Answers

Let
x---------------> number of bulbs produced per year
n--------------> number of years
we know that
the pattern can be modeled through the following equation
x=6*[2^(n-1)]

for n=1 year
x=6*[2^(1-1)]----------> 6 bulbs

for n=2 year
x=6*[2^(2-1)]----------> 12 bulbs

for n=3 year
x=6*[2^(3-1)]----------> 24 bulbs

for n=8 year
x=6*[2^(8-1)]----------> 6*128=768 bulbs

the answer is 768 bulbs

Final answer:

Geoff's garden exhibits exponential growth of dahlia bulbs, doubling each year. By following this pattern, Geoff should expect to have 768 bulbs in the eighth year.

Explanation:

Geoff’s dahlia bulbs are showing a pattern of doubling in quantity each year. This is an example of exponential growth, a concept commonly explored in mathematics. To determine the number of bulbs Geoff can expect in the eighth year, we need to continue this pattern.

In the first year, there are 6 bulbs. The second year has 12 bulbs which is 6 multiplied by 2. The third year has 24 bulbs, which is 12 multiplied by 2. This pattern suggests that every year, the number of bulbs is the previous year's total multiplied by 2.

By following this pattern, to find the number of bulbs in the eighth year, we calculate:

Fourth year: 24 bulbs × 2 = 48 bulbs

Fifth year: 48 bulbs × 2 = 96 bulbs

Sixth year: 96 bulbs × 2 = 192 bulbs

Seventh year: 192 bulbs × 2 = 384 bulbs

Eighth year: 384 bulbs × 2 = 768 bulbs

Therefore, Geoff should expect to have 768 bulbs in his garden in the eighth year if the pattern of doubling the number of bulbs each year continues.

Help with this math question

Answers

The given inequality is:

[tex]|-8x+24| \leq 16[/tex]

This inequality can be divided in two parts as:

a) [tex]-16 \leq -8x +24[/tex]
b) [tex]-8x + 24 \leq 16[/tex]

Solving part a:

[tex]-16 \leq -8x+24 \\ \\ -40 \leq -8x \\ \\ 5 \geq x \\ or \\ x \leq 5[/tex]

Solving part b:

[tex]-8x+24 \leq 16 \\ \\ -8x \leq -8 \\ \\ x \geq 1[/tex]

Therefore, the solution to the given inequality is [tex]x \leq 5[/tex] and [tex]x \geq 1[/tex]. Combining both the ranges we get the solution: [tex]1 \leq x \leq 5[/tex].

In interval notation, this solution can be expressed as [1,5]

The given inequality is:

|-8x+24| \leq 16

This inequality can be divided in two parts as:

a) -16 \leq -8x +24

b) -8x + 24 \leq 16

Solving part a:

-16 \leq -8x+24 \\ \\ 
-40 \leq -8x \\ \\ 
5 \geq x \\ 
or \\ 
x \leq 5

Solving part b:

-8x+24 \leq 16 \\ \\ 
-8x \leq -8 \\ \\ 
x \geq 1

Therefore, the solution to the given inequality is x \leq 5 and x \geq 1. Combining both the ranges we get the solution: 1 \leq x \leq 5.

In interval notation, this solution can be expressed as [1,5

Read more on Brainly.com - https://brainly.com/question/9377317#readmore

for the simple harmonic motion equation d=2sin(pi/3t), what is the frequency?

Answers

the answer is simply

1/6

Answer:

Frequency of [tex]d=2\sin (\frac{\pi t}{3})[/tex] is [tex]\frac{1}{6}[/tex].

Step-by-step explanation:

We have the harmonic equation as, [tex]d=2\sin (\frac{\pi t}{3})[/tex].

It is known that,

If a function f(x) has a period P, then the function cf(bx) has period [tex]\frac{P}{|b|}[/tex].

So, we have,

As the function [tex]\sin t[/tex] has [tex]2\pi[/tex], then [tex]d=2\sin (\frac{\pi t}{3})[/tex] will have period [tex]\frac{2\pi}{\frac{\pi}{3}}[/tex] = 6

Further, the frequency of a function is the reciprocal of its period.

Thus, the frequency of [tex]d=2\sin (\frac{\pi t}{3})[/tex] is [tex]\frac{1}{6}[/tex].

What is the value of p? 4 × 11 × p = 11 × 4 × 5 PLZ

Answers

4 * 11 * p = 11 * 4 * 5

Divide both sides by 4.

11 * p = 11 * 5

Divide both sides by 11.

p = 5

Using the multiplicative property, we know that a * b * c = c * b * a
So, we can conclude that the answer is 5 because 4 × 11 × 5 = 11 × 4 × 5.

Hope this helps!

There are 5.28 cups of pudding to be put into 6 dishes.How much pudding should be put into each dish to make it equal?

Answers

Hello! For this question, all you have to do is divide. Divide like you would any other number by moving 5.28 over two decimals to make 528 and add two 0's behind the 6 to make 600. The division problem becomes 528/600. If you divide correctly, you get 0.88. There. 0.88 cups of pudding should be put into each dish to make the amount equal.

Note: In order to divide decimals, you move the decimal in the divisor (the number the other nimber is being divided by) by whatever amount to make it whole, and then do the same to the dividend by moving the decimal places of that number. Add 0's to the empty spots, and then divide like you would regular numbers. You may not need this now, but if you get questions like this and you can't use a calculator, it will really help.

Noah’s taxable income is $27,156. He is filing as married filing jointly, and he has already paid $3260 in federal taxes. What will he receive or pay after he figures his taxes for the year?

Answers

Final answer:

To determine what Noah will receive or pay after figuring his taxes for the year, we need to calculate his tax liability. According to the 2020 tax brackets, a married couple filing jointly with a taxable income of $27,156 falls into the 12% tax bracket. Since Noah has already paid $3,260 in federal taxes, he has overpaid his taxes and will receive a refund of $1.28.

Explanation:

To determine what Noah will receive or pay after figuring his taxes for the year, we need to calculate his tax liability.

First, we need to determine his taxable income after considering his filing status. As he is filing as married filing jointly, we can check the tax brackets for that status.

According to the 2020 tax brackets, a married couple filing jointly with a taxable income of $27,156 falls into the 12% tax bracket. To calculate the tax liability, we multiply the taxable income by the tax rate, which gives us $27,156 * 0.12 = $3,258.72.

Since Noah has already paid $3,260 in federal taxes, he has paid more than his tax liability for the year. In this case, he will receive a tax refund equal to the difference between his tax liability and the amount he has already paid, so the amount he will receive is $3,258.72 - $3,260 = $-1.28.

Therefore, Noah will receive a tax refund of $1.28 after figuring his taxes for the year.

Jenifer has 4/5 as many pictures on her camera as Luisa does Jennifer has 28 pictures on her camera . how may pictures do Jennifer and Luisa

Answers

I think the answer is 49 photos.
Hope it is correct

What’s the sum of 2/5 and 2/4

Answers

Find common denominator

5 x 4 = 20

2 x 4 = 8
2 x 5 = 10

8/20 + 10/20 = 18/20

18/20, or 9/10 simplified, is your answer

Hope this helps

What is the measure of JK?

Answers

JK = 2(37) - 45
JK = 74 - 45
JK = 29

answer
C. 29

The measure of the angle formed by 2 chords that intersect inside the circle is 1/2 the sum of the chords' intercepted arcs ⇒

45 + JK = 37×2
45 + JK = 74
JK = 74 - 45
JK = 29°

determine which statement is true about the zeros of the function graphed below

Answers

We see that the points of the graph of the function never attain a y-value of 0. Thus f is never equal to 0 for real numbers, hence we can disqualify all the necessary answers already (only answer not against this is 2). Nevertheless, we can show that this is the right answer. The graph is called a parabola, so it is represents a second order polynomial. These polynomials have either 2 real or 2 complex solutions. Since this does not have real solutions (at the lowest point of that polynomial the y-value is 4) the correct answer is b).

Answer:

Step-by-step explanation:

Write the formula for a function d(x) that describes the distance between the point p and a point (x,y) on the line.

Answers

m=y2-y1 divided by x2-x1. or y=mx+b

Luke and Christopher go to the movie theater and purchase refreshments for their friends.

Luke spends a total of $41.00 on 3 drinks and 10 bags of popcorn.

Christopher spends a total of $11.00 on 2 drinks and 2 bags of popcorn.

Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.

Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.

Answers

let x= $ of drinks
let y= $ of popcorn
so the first equation would be: (3x+10y=41)2
so the second equation would be: (2x+ 2y=11)-3
so now use the process of elimination:
6x+20y=82
-6x-6y=-33 the x's cancel out

14y=49
/14 /14
y=3.5

now plug y back into one of the equations above to find out x:
6x+20(3.5)=82
6x+70=82
6x=12
x=2
a bag of popcorn is $3.50
a drink is $2

Hope this helped you!! :)

What expression represents "one third of the difference between fifteen and some number"?

Possible Answers:

Answers

one-third = 1/3
difference between fifteen and some number = 15 - p

1(15 - p)/3 should be your best answer

hope this helps

A partially eaten bag of grape weighs 5/8 of a pound. The bag of grapes weighed 4 times this amount before any were eaten. What was the original weight of the bag of grapes?

Answers

It weighed 4 times the 5/8 of a pound
4 * 5/8
That is 5/2, or 2 1/2, or 2.5

Hope this helps

To find the original weight of a bag of grapes before some were eaten, you divide the current weight of 5/8 lb by 4. The calculation reveals that the bag's original weight was 5 pounds.

The question asks us to calculate the original weight of a bag of grapes before it was partially eaten. After eating some of the grapes, the bag now weighs 5/8 of a pound. To find the original weight, we need to determine what weight, when multiplied by 4, would equal 5/8 of a pound. We do this by dividing the current weight by 4 to reverse the multiplication. Using the formula:

Original Weight = Current Weight / 4

So:

Original Weight = (5/8) lb / 4

When we do the calculation:

Original Weight = (5/8) lb / (4/1)

Original Weight = (5/8) lb \(1/4)

Original Weight = (5/32) lb

Since (5/32) lb is equivalent to 5 pounds (when multiplied by 4, it gives 20/32 lb, which simplifies to 5/8 lb), the original weight of the bag of grapes was 5 pounds.

The sale price of an item is $15 after a 70% discount is applied. What is the original price of the item?

Answers

21.428571428571428571428571428571

the answer is 24$$$$$$$

Evie buys a coat that is marked down by 30% from the original price. After the markdown, the sale price of Evie's coat is $56.00. What was the original price of the coat before the markdown?
A.$72.80
B.$80.00
C.$86.00
D.$95.20

Answers

The original price of the coat was $80

Original - (30% of original)= total paid

x= original
$56=total paid
30%= discount

EQUATION:
x - (30% * x) = $56
multiply inside parentheses

x - 0.30x= 56
subtract

0.70x= 56
divide both sides by 0.70

x=80

ANSWER: B) $80

Hope this helps! :)

If cos(3x)=sin(x+18degrees) what is the value of x

Answers

Try this option:

1. rule: cosα=sin(90°-α), it means that cos 3x=sin(90°-3x);
2. sin(90°-3x)=sin(x+18°); ⇔ 90°-3x=18°+x; ⇔ x=18°.

Answer: x=18°.

Make a table showing the probability distribution for the possible sums when tossing two four-sided dice (the sides are numbered 1-4 on each die). (give the probabilities as decimals rounded to four decimal places.)

Answers

We would have the following sample space:
(1, 1), (1, 2), (1, 3), (1, 4)
(2, 1), (2, 2), (2, 3), (2, 4)
(3, 1), (3, 2), (3, 3), (3, 4)
(4, 1), (4, 2), (4, 3), (4, 4)

Those give us these sums:
2, 3, 4, 5
3, 4, 5, 6
4, 5, 6, 7
5, 6, 7, 8

P(sum of 2) = 1/16 =0.0625
P(sum of 3) = 2/16 = 0.125
P(sum of 4) = 3/16 = 0.1875
P(sum of 5) = 4/16 = 0.25
P(sum of 6) = 3/16 = 0.1875
P(sum of 7) = 2/16 = 0.125
P(sum of 8) = 1/16 = 0.0625

write an equation in slope intercept: 6x+5y=30

Answers

The equation for slope-intercept form is y = mx + b; "m" representing the slope and "b" representing the y-intercept. Let's set this equation to where the "y" variable is by itself and in slope-intercept form.
5y = 6x + 30
This is the correct equation for slope-intercept form.

I hope this helps!

What are the solution(s) to the quadratic equation 50 – x2 = 0? x = ±2 x = ±6 x = ±5 no real solution btw i just clicked the last choice on accident

Answers

50-x^2=0
Move the x^2 to the other side
x^2=50
Now take the square root of both sides
x=+_(50)^1/2 (^1/2 means square root)(+_ is plus or minus. Sorry XD)
Now simplify the square root
X=+_5(2)^1/2
Voila. The answer is C

Answer:

Option C

Step-by-step explanation:

we need to find the solution(s) to the quadratic equation 50 – x^2 = 0

50 – x^2 = 0

Subtract 50 from both sides

– x^2 = -50

Now divide by -1 from both sides

x^2 = 50

To remove square , take square root on both sides

[tex]x=+-\sqrt{50}[/tex]

[tex]x=+-\sqrt{25*2}[/tex]

[tex]x=+-5\sqrt{2}[/tex]

Option C is the answer

ANSWER FAST 20 PTS

What is the measure of T?

ABCD RSTU

125°
110°
100°
60°

Answers

The sum of angles in a quadrilateral is 360°.
  75° +125° +∠T +60° = 360°
  ∠T = 360° -260° = 100°

Answer:

100

Step-by-step explanation:

calculate the area of the lawn covered by an oscillating sprinkler that sprays water in a half circle with a radius of 10ft

Answers

Pi x10^2= 314.159/2=157.079

How many elements are in the set {A,B,C}?

Answers

Three I think. Might be wrong

Answer:

There are 3 elements in the set.

Step-by-step explanation:

Given set,

{A, B, C}

∵ Set is the collection of defined distinct objects,

These objects are called elements of the set,

We have given a set in which A, B, C are present thus they must be distinct,

So, by the above definition,

The given set has three elements.

Over the past month, a hairstylist has had 49 female clients and 21 male clients. What is the ratio of male clients to female clients for this hairstylist?

Answers

The ratio is 21:49, 21/49, or 21 to 49

The ratio of male clients to female clients for the hairstylist is 21:49, which simplifies to 3:7 after dividing both numbers by the GCD of 7.

The question asks to find the ratio of male clients to female clients for a hairstylist. In this scenario, the hairstylist has had 49 female clients and 21 male clients. To find the ratio of male to female clients, we compare the number of male clients to the number of female clients.

The ratio is expressed as male clients : female clients. Thus, the ratio of male clients to female clients is:

21 male clients : 49 female clients

To simplify the ratio, we find the greatest common divisor (GCD) of 21 and 49, which is 7. Dividing both numbers by 7, we get:

3 male clients : 7 female clients

Write a function rule that gives the total cost c(p) Of p pounds of sugar if each pound costs $.59.

Answers

c=.54(p) should do the job

For 3x2- 4x+ 1, match the following:
x Degree
3 Variable
1 Algebraic expression
3x2-4x+ 1 Coefficient
. 2 Constant

Answers

2 = degree
x = variable
expression = 3x^2-4x+1
coefficients = 3 and -4
constant = 1

For this case we have the following definitions:

Algebraic expression: It is one that contains terms of different degrees with their respective coefficients. Degree of the polynomial: is the largest exponent of the polynomial. Variabe: is the independent term of the polynomial Coefficient: They are the constant numerical values that accompany the variables of the polynomial. Constant: It is a term of the polynomial that does not accompany the variable.

Answer:

x ----------------> Variable

3 ----------------> Coefficient

1 ----------------> Constant

[tex]3x ^ 2-4x + 1[/tex] -----------> Algebraic expression

2 ----------------> Degree

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The scientific method is usually presented to students when they are between 12 and 13 years of age. at this point, students are capable of the abstract thinking and hypothetical reasoning characteristic of jean piaget's _____ stage of cognitive development. In the hypothesis thatc. stellatus (a species of barnacle) is competitively excluded from the lower intertidal zone byb. balanoides (another species of barnacle), what could be concluded about the two species? in the hypothesis thatc. stellatus (a species of barnacle) is competitively excluded from the lower intertidal zone byb. balanoides (another species of barnacle), what could be concluded about the two species? the fundamental and realized niches ofb. balanoides are identical, but the fundamental and realized niches ofc. stellatus are different. the fundamental and realized niches ofb. balanoides are different, but the fundamental and realized niches ofc. stellatus are identical. the fundamental and realized niches ofb. balanoides andc. stellatus are identical. the fundamental and realized niches ofb. balanoides andc. stellatus are different. What led to napoleon disaster in Russia in 300 words or less, explain what Oedipus's responses to Teiresias tell us about oedipus. A disturbance that moves through a solid, liquid, gas, or a vacuum is defined as __________.energy, as long as matter is being transportedsound, as long as matter is not present within the disturbancea wave, as long as matter is not being transporteda wave, as long as matter is being transported 34) And in a hall far brighter than Wodens Valhalla, the brave warriors and those who were good will be gathered forever. Read the passage. Look at the underlined section marked number (34). There may be a mistake in the way the sentence is written. If you find a mistake, choose the answer that corrects the mistake. If there is no mistake, choose Correct as is. A) Correct as is B) And in a hall far brighter than Wodens Valhalla, the brave and good will be gathered forever. C) And in a hall far brighter than Wodens Valhalla, the brave and good ones will be gathered forever. Eliminate D) And in a hall far brighter than Wodens Valhalla, those who are brave and the good will be gathered forever. why the population of marsh grasses might increase if the population of herons decrease what is the product (x+2)(x^2-2x+4) dividing mixed fractions in this passage the author presents a ____ to help support the argument that his son is misunderstood Why did the church resist changes taking place during the middle ages in the renaissance that were leading to the scientific revolution? A.) The church was wary of scientist questioning the explanations of realityB.) Church felt that reading Greek text would reduce the importance of LatinC.) The church was afraid that islamic influence would create more Muslims in EuropeD.) The church that scientific publications would become more widely printed than the Bible Which of the following is an accurate statement? A. AC Generators produce current that is pulsating, but always remains positive. B. Step-up voltage transformers have a lower number of turns in the primary than in the secondary winding. C. DC Generators produce current with a voltage that changes from positive to negative. D. Step-down voltage transformers have a different number of turns in the primary than in the secondary winding, so they change the incoming voltage to a higher voltage. Marine magnetic anomalies can be used to estimate the Antoine wants to convert millimeters into kilometers. Which operation should he choose? What is the pH of blood, given the hydrogen ion concentration is 4.0 10-8M? What is the big food industry and what are its goals? what's the method for displacement in physics. I NEED HELP ASAP In at least one hundred words, describe three or more reminisces used by Addams in Chapter 2 of Twenty Years at Hull House" and detail the purposes for which she gives them. Zane weighs 50 kilograms. What is his weight in pounds? (The proportional relationship between kilograms and pounds is .) 100 pounds 22.72 pounds 110 pounds 1100 pounds What group of people moved to florida from southern states? Why did they decide to move to florida?