Mr. Brown owned a house, which he rented for $60 a month. The house was assessed at $9000. In 1975 the rate of taxation was increased from $25 to $28 per $1000 assessed valuation. By what amount should the monthly rent have been raised to absorb the increase in that year's taxes?

Answers

Answer 1
We first calculate the percentage increase on the tax

Old value = 25×9 = 225 ⇒ The value 9 represents the 9 lots of thousands of the house's value
New value = 28×9 = 252

Increase in tax = 252 - 225 =27  
Percentage increase = (27÷225) ×100 = 12%

The amount of yearly rent would be then increased by 12%

Monthly rent = $60
Yearly rent = 60×12 = $720
Increase by 12% = 720×1.12 = 806.4 ⇒ The value 1.12 is the multiplier, obtained from 100%+12%=112%=1.12

The monthly rent is 806.4÷12 = $67.20 which is an increase of $7.20 per month

Related Questions

Where can the perpendicular bisectors of the sides of a right triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
 

A. I only
B. II only
C. I or II only
D. I, II, or II

please show your work

Answers

It is B because, I drew a diagram of 2 right triangles, and used my protractor so I won't get an inaccurate answer. 

Identify the property used in the first 5 steps to solve the equation 2(x-5)-6x=-22

Answer choices:
Step 1: Associative, Commutative or Distributive Property
Step 2: Associative, Commutative or Distributive Property
Step 3: Addition or Multiplication Property of Equality
Step 4: Addition Property or Combine Like Terms
Step 5: Addition or Multiplication Property of Equality

Answers

[tex]2(x-5)-6x=22[/tex] ⇒ We start by multiplying out the bracket and this property is called DISTRIBUTIVE property 

[tex]2x-10-6x=-22[/tex] ⇒ from here the next step is simplifying by collecting like terms

[tex]2x-6x-10=-22[/tex] ⇒ The simplifying process is the application of COMMUTATIVE property since this property allows us to 'group' the like terms together. In other words, this property allows us to move the [tex]-6x[/tex] next to the [tex]2x[/tex]. 

[tex](2-6)x-10=-22[/tex] ⇒ This what actually happened when we simplify [tex]2x-6x[/tex], we work out the sum of [tex](2-6)[/tex] and the answer is multiplied back to [tex]x[/tex]. This is called the ASSOCIATIVE property as we 'associating' the constant of the like terms.

[tex]-8x-10=-22[/tex] ⇒ Adding 10 on both sides to eliminate [tex]-10[/tex] on the left hand side of equation

[tex]-8x=-22+10[/tex]
[tex]-8x=-12[/tex]
[tex]x= \frac{-12}{-8}= \frac{3}{2}=1.5 [/tex]

Hence, the steps are

STEP 1
STEP 4
STEP 2
STEP 3
STEP 5

Answer:

Distributive property

Step-by-step explanation:

Which of the following inequalities matches the graph?

graph of an inequality with a solid vertical line through the point negative 7, 0 and shading to the left of the line

Answers

x < = -7...solid vertical line means there is an equal sign in the problem...shading to the left or down means less then. A vertical line is represented by x = a number, and that number being the x value in ur set of points.

What is the square root of 26 in simplest radical form?

Answers

Final answer:

The square root of 26 in simplest radical form is just √26, as 26 has no perfect square factor. It can also be expressed as 26 raised to the power of 0.5 based on the concept of fractional powers corresponding to roots.

Explanation:

The square root of 26 in its simplest radical form cannot be simplified further as a perfect square factor because 26 is not a perfect square. However, if we apply the concept of expressing numbers as fractional powers, we can say that any number 'x' squared, written as x², is equivalent to the square root of 'x'. Thus, the square root of 26 can also be written as 26 to the power of 0.5 or 26⁰.⁵.

Expressing the concept mathematically, we can write the square root of any number 'x' as x to the power of 0.5, which is a helpful way to solve for unknown values in various equations. This idea is useful in scenarios where different roots of a number or expressions involving fractional exponents are to be calculated, and it is essential to remember that the square root is just another form of an exponent.

Use the distributive property to remove the parentheses.
-5(5v-4x-1)

Answers

-5(5v-4x-1)

You need to multiply all the variables in the parentheses by -5.
(-5*5v) - (-5*4x) - (-5*1)

-25x + 20x + 5
= -5*5v -5*-4x -5*-1

=  - 25v + 20x + 5

A drawing shows 4 apples and 6 bananas. Which is the ratio of bananas to apples? 6:4 3:2 6 4 all of the above

Answers

 4 apples and 6 bananas

so ration bananas to apples = 6:4 or 3:2  or 6 4

answer is 

all of the above
We can set up this question like this to help understand it better....

Bananas : Apples
6 : 4   ----->  *** You would think this is the answer but it isn't! *** 

Why you may ask... it's because this ratio can be simplified. Yes it is very much like a fraction! 

So when we simplify 6 : 4 we will get this ratio as the answer!! 
3 : 2 

I hope this helps you! :D 

what operation represents a ratio

Answers

The operation that would represent a ratio would be division. A ratio, in mathematics, relates two numbers which indicates how many time is the first value contains the second value. It says how much of something is there as compared to another thing. For example, we have 3 blue circles to 1 red circle, it would be written as 3/1 or 3:1.  Ratio and division are closely related. However, ratio is a relationship between things and division is an operation that can be used in this relationship but is not limited to this problem. If you are given 14 dogs, 7 chickens and 21  cows, the ratio would be 2:1:3. Indeed, you have divided the values but this is a ratio problem rather than a division problem.

A car is a vehicle with four wheels.
Rewrite the statement as a true conditional with a converse that is false.
Write a similar true conditional with a converse that is true

Answers

Answer:

If a vehicle does not have 4 wheels, it is not a car.

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From January through October, ACE Autos sold 150 cars. The number of cars sold in November and the number of cars sold in December were in the ratio of 3:5. If the total number of cars sold in the year was 390, find the number of cars sold in December. Solve algebraically.

Answers

390-150 = 240 cars were sold in November & December

 ratio is 3:5

240/8 = 30

30*3 = 90

3*5 = 150

90 cars sold in November

150 cars sold in December

My past due bill is $585.00, and I just made payment arrangements for the next 3 months to keep my account from being suspended. My normal monthly bill is $50.00 per month. How much will I need to pay each month?"

Answers

585/3 = 195 + 50 = $245

Answer:

$245

Step-by-step explanation:

Given : My past due bill is $585.00, and I just made payment arrangements for the next 3 months to keep my account from being suspended. My normal monthly bill is $50.00 per month.

To Find:  How much will I need to pay each month?"

Solution:

Past due bill = $585

Now  just made payment arrangements for the next 3 months to keep my account from being suspended

So, Payment each month of past bill = [tex]\frac{585}{3}=195[/tex]

My normal monthly bill is $50.00 per month.

So, I need to pay per month = $50+$195= $245

Thus ,I need to pay $245 per month .

(Solve for v) 2v − 6 = 4

Answers

2v-6=4
[add 6]
2v=10
[divide by 2]
v=5

Please help me explain your answer

Answers

convert 2 2/5 into a fraction

2 2/5 = 12/5

12/5 * 1/9 =12/45 reduces to 4/15

what is the common difference in the arithmic sequence 30,27,24,21,18

Answers

if you have two terms in a sequence, then a term decreased by the previous term=common difference

so
30 and 27

27 decreased by 30 is -3

the common differce is -3

Answer:

-3

Step-by-step explanation:

Its decresing by -3.

HELP! 5/x+3 - 3/x-2 = 5/3x+6 please show your work. :)

Answers

here is a condensed solution

Are the following figures similar?

Answers

no the corresponding angles are not congruent, because the angle measures on the smaller figure are 90, 90, 137, and 43, while the larger figure has angle measures of 90, 90, 136, 44. that is why the following figures are not congruent.

The amount of candy left in a Halloween bucket is given by the function A(t) = 50(0.8)t where t stands for the number of minutes the candy is available and A(t) stands for the amount of candy left at any given time. How much candy is there after five minutes?

50 pieces

40 pieces

16 pieces

200 pieces

Answers

I think that equation is supposed to look like this:
[tex]A(t)=50(.8) ^{t} [/tex]
The reason I say that is because this is an exponential decay problem, with a starting amount of 50 pieces of candy.
If that's the case, then it would look like this with a t value of 5:
[tex]A(5)=50(.8) ^{5} [/tex]
and [tex]A(5)=50(.32768)[/tex]
so the amount of candy left after 5 minutes is 16.384 or 16

Read the following statement: All prime numbers are odd. Which of the following choices is a counterexample to the statement?
1
17
2
7

Answers

All prime numbers are odd.
A counter-example is one that will prove this statement to be false.

ur answer is : 2....it is 2 because 2 is a prime number and it is even...in fact, it is the only even number that is a prime number.


The choice which is a counterexample to the statement is 2.

What are prime numbers?

"It is a number that is divisible only by itself and 1 "

For given question,

We have been given a statement 'All prime numbers are odd. '

We need to select a counterexample to given statement.

Consider a number 2.

2 is divisible only by itself and 1

This means, 2 is a prime number.

We know that 2 is an even number.

Therefore, the choice which is a counterexample to the statement is 2.

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Which function represents g(x), a reflection of f(x) =2/5 (10)x across the x-axis? g(x) =-2/5 (10)x g(x) =-2/5(1/10)^x g(x) =2/5(1/10)^-x g(x) =2/5 (10)-x

Answers

all values of f(x)  will change from positive to negative if you reflect in x-axis.

So the first choice is the correct one.

Answer:

A. [tex]g(x)=-\frac{2}{5}(10)^x[/tex].

Step-by-step explanation:

We are given the function [tex]f(x)=\frac{2}{5}(10)^x[/tex].

Now, g(x) is obtained by reflecting the function f(x) over x-axis.

Reflection of f(x) over x-axis changes f(x) to -f(x).

So, we get,

[tex]g(x)=-f(x)[/tex]

i.e. [tex]g(x)=-\frac{2}{5}(10)^x[/tex]

Thus, the reflected function is [tex]g(x)=-\frac{2}{5}(10)^x[/tex].

So, option A is correct.

Both windows are congruent. What is the combined area of the two windows?

Answers

The area of the triangle is 3 because b•h/2, and the area of the rectangle is 3 because l•w, added together that equals 6, and doubled that equals 12. So I think the answer is C, 12 square feet.
10.5. Please answer my question as well!

How to solve (8.76 x 109)(6.52 x 10-3)/13.27 x 105?

Answers

use PEMDAS:
P = parenthesis
E = exponents
M = multiplication
D = division
A = addition
S = subtraction


First, start with the parenthesis:
(8.76 * 109)(6.52 * 10 - 3) / 13.27 * 105
(954.84)*(62.2) / 13.27 * 105

Then do ALL multiplication:
59,391.048 / 1,393.35

Now do all division:
42.62

So, your final answer is 42.62

What is the answer to this?

Answers

The answer is 6. 108 people divided by 18 people ( i cake ) 
To get the answer just simply divide

108/18= 6

So she will need 6 cakes to feed 180 people

The longest side of an acute isosceles triangle is 8 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?

Answers

This isosceles acute triangle has 2 equal sides (let it be a and the third = 8
To have a triangle we should comply with the following inequality:
a + a > 8
2a > 8
and a>4



Final answer:

To comply with the triangle inequality theorem, the smallest possible length of the congruent sides in an acute isosceles triangle with the longest side being 8 centimeters, would be slightly greater than 4 centimeters, rounded to the nearest tenth (4.1 centimeters).

Explanation:

In the context of an acute isosceles triangle, the longest side is the base and the other two sides are congruent or have equal length. The smallest possible length of the congruent sides comes into play in respect of the triangle inequality theorem, stating that the sum of the lengths of any two sides must be greater than the length of the third side. Thus, for the smallest possible length, each of the congruent sides must hence be just slightly larger than half the length of the longest side. So for an 8 centimeter base, the smallest length for the congruent sides should be slightly more than 4 centimeters, let's call it 4.1 centimeters, when rounded to the nearest tenth.

Learn more about Acute Isosceles Triangle

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What is the value of x 20 35 60 70

Answers

x+40 =3x (vertical angles)
2x = 40
x = 20

answer  is A. 20 (first choice)

Answer:

Value of x is:

20

Step-by-step explanation:

Clearly, the two angles are vertically opposite

and vertically opposite angles are always equal

So, x+40=3x

Subtracting both sides by x, we get

x+40-x=3x-x

i.e. 40= 2x

Dividing both sides by 2, we get

x = 20

Hence, Value of x is:

20

What is the sum of 12 and the quantity 8 times a number k is equal to 48? It was on my math homework, it hardly makes any sence to me, please help me, whats the answer?

Answers

Final answer:

The question is asking for the solution to the algebraic problem 12 + 8k = 48. By isolating 'k', it is found that the value of 'k' is 4.5.

Explanation:

The problem presented here belongs to the branch of algebra. It is showing a relationship between the sum, multiplication, and is presented in a typical algebraic equation format. Let's break it down:

The sum of 12 and a number (which is 8 times k) is equal to 48. This can be written in equation form as:

12 + 8k = 48

To find the value of k, we need to isolate 'k' in the equation. First, subtract 12 from both sides of the equation:

8k = 48 - 12

Then, simplify the right side:

8k = 36

Finally, divide both sides by 8 to solve for k:

k = 36 / 8

So, k = 4.5.

Learn more about Algebra here:

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Chris bought clothes for school. She bought 3 shirts for $12 each and a skirt for $15.

How much did she spend on the shirts?

Question 1 options:

Answers

3 times $12 is 36. So she spent $36 on the shirts. :)



The foodservice department has been asked to prepare a special luncheon for the grandway hospital board of directors on tuesday. there will be 25 board members at the luncheon. there are 125 portions of vegetable lasagna needed for the hospital's lunch service that day. the standardized vegetable lasagna recipe yields 125 portions and requires 21 lb of ricotta cheese. how much ricotta cheese must chef carl order to meet production needs?

Answers

125/21 = 150/x
cross multiply
125x = 3150
x = 3150/125
x = 25.2 lbs....rounded up = 26 lbs <==

Joan likes to watch the birds in her yard.one morning,she notices that there are twice as many robins as blue jays.if she counted 21 blue jays and robins in all, how many blue jays did she count. Need help badly

Answers

21 divided by 3 = 7
14 robins 
7 blue jays

Suppose you are making yourself a sandwich. how many different sandwiches can you make if you have 4 choices in bread, 2 choices in meat, and 5 choices in cheese?

Answers

you would have 40 Choices

What is the slope and the y intercept of the line y=6x-9?

Answers

The slope is:  6 .
The y-intercept is:  -9  ;  (or, more precisely:  "(-9, 0)" .
_________________________________________________
   Note:  The line in written in "point-slope form"; also known as:
"slope-intercept format" ;  that is:  " y = mx + b"  ; in which:
                                              m = slope = coefficient of "x" ; 
                                              b = "y-intercept" (or, more precisely; the value
                                                  of "x" in the "x-coordinate" of the point of the 
                                                   "y -intercept).
__________________________________________________
    So:   Given:  y = 6x - 9 ;   m = slope = 6 ;
                                             b = -9 .
__________________________________________________

Hello there! :)

This equation is written in slope-intercept form. which means we can easily idenify the slope and the y-intercept.

First of all, slope-intercept form looks like this:

y=mx+b

The letter m represents the slope, while the letter b represents the y-intercept.

Now, let's look at the values that we have.

We are given the equation of the line:

y=6x-9

We know that m is the slope; therefore, in this equation, 6 is the slope.

-9 is the y-intercept (the letter b)

Therefore, 6 is the slope and b is the y-intercept.

I hope it helps you. Let me know if you have any queries.

~A smiley teen

[tex]MagicalNature[/tex] here to help

Evaluate 5a^2 + 2b^3 when a=4 and b =-4

Answers

Hello there! How are you today?

5a^2 + 2b^3, solve when a = 4 and b = -4

To solve for this, we must replace "a" with 4, and "b" with -4.

I will set it up;

5(4^2) + 2(-4^3)

Simplify the parenthesis (PEMDAS).

5(16) + 2(-64)

Remove the parenthesis by multiplying them by the numbers to the outside of them.

5 x 16 = 80
2 x -64 = -128

We are now left with:
80 - 128

Simplify.

-48 is your final answer.

I hope this helps!
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