Answer:
At 10 hours both companies charge the same rate. So Company A is cheaper if the time is less than 10 hours and after 10 hours, company B is cheaper.
Step-by-step explanation:
It is given that Chloe is deciding between two landscaping companies for her place of business. Company A charges $70 per hour and a $150 equipment fee. Company B charges $55 per hour and a $300 equipment fee. Let A A represent the amount Company A would charge for t t hours of landscaping, and let B B represent the amount Company B would charge for t t hours of landscaping.
Now, we need to write an equation for each situation, in terms of t , t, and determine the number hours, t , t, that would make the cost of each company the same.
Now,
Let A(t) = 70t + 150
Let B(t) = 55t + 300
Further, on equating both the equations at same rate to determine the time t;
=> 70t + 150 = 55t + 300
=> 15t = 150
=> t = 10
Therefore, at 10 hours both companies charge the same rate. So Company A is cheaper if the time is less than 10 hours and after 10 hours, company B is cheaper.
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Carl brownstein is a golf course groundkeeper whose annual gorss pay is 45,500, he has exemptions of 3000. the state tax on the first 2500 is 1.5% and 3% on amounts over 2,500.
If Carl Brownstein is a golf course groundskeeper whose annual gross pay is 45,500, and he has exemptions of 3000, and the state tax on the first 2500 is 1.5% and 3% on amounts over 2,500 then the state income tax of Carls is C- 1237.50.
The state income tax of Carls can be calculated as follows;
First, we subtract the exemption of 3000 from the annual gross pay as follows;
45500 - 3000 = 42500
As the percentage tax on the first 2500 is 1.5%, it can be calculated as follows;
1.5/100 × 2500 = 0.015 × 2500 = 37.50
The percentage tax on amounts over 2500 is 3%, therefore we can calculate the tax on the remaining amount as follows;
42500 - 2500 = 40000
3/100 × 40000 = 0.03 × 40000 = 1200
The total state income tax can be calculated by addition;
Tax on the first 2500 + Tax on the amount over 2500
37.50 + 1200 = 1237.50
Hence the state income tax of Carl is calculated to be 1237.50
Although a part of your question is missing, you might be referring to this question:
Carl Brownstein is a golf course groundskeeper whose annual gross pay is 45,500, he has exemptions of 3000. The state tax on the first 2500 is 1.5% and 3% on amounts over 2,500. What is the state income tax of Carl's?
A- 3233
B- 1200
C- 1237.50
D- 1588
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Fill in the blank to find an equivalent fraction to 8/9 = ?/9
Answer:
Due to the fact that the denomonator is the same your answer will be 8/9 but if there was a different denominator you would need to find the least common multiple. Dont forget anything you do to the bottom has to be done to the top
Step-by-step explanation:
Hope this helps!!
A dozen donuts (12) at the local bakery cost $19.20. At this rate, how much does 1 donut cost?
How much do 7 donuts cost?
Answer: 1 Donut would be $1.6 and 7 donuts would be $11.2
What is an equation of the line that passes
through the point (1, 3) and is parallel to
the line 3x + y = 9?
Answer: y=-3x+6
Step-by-step explanation:
simplify ax+by=c into slope intercept which is y=mx+b
y=-3x+9.
since slopes are the same in parallel equations, graph the point (1,3) and go up 3, and left 1. the y intercept should be 6. I went left one because it's a negative slope, so in order for the line to be negative, you'd go left, not right. y= -3x+6
Simplify the expressions, and match the expressions that are equal in value.
arrowBoth
arrowBoth
By applying the laws of indices to each of the expression, the simplified expressions are matched as follows:
5³ ÷ 5⁻¹ ⇔ 5⁴5⁻⁴ ⇔ 1/5⁴What is an exponent?An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.
What are the laws of indices?In Mathematics, laws of indices can be defined as the standard principles and rules that are used for simplifying a mathematical equation or expression that involves powers of the same base.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In order to evaluate an expression, you should apply the PEMDAS rule, where operations within the parenthesis are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right. Lastly, the operations of addition or subtraction would be performed from left to right.
By applying the laws of indices to each of the expression, the simplified expressions are as follows:
5³ ÷ 5⁻¹ = 5⁽³ ⁻⁽⁻¹⁾ = 5⁽³ ⁺ ¹⁾ = 5⁴ ⇒ 5³ ÷ 5⁻¹ = 5⁴
5³ × 5⁻¹ = 5⁽³ ⁺ ⁽⁻¹⁾ = 5⁽³ ⁻ ¹⁾ = 5²
a⁻ⁿ = 1/aⁿ ≡ 5⁻⁴ = 1/5⁴
5⁻³ ÷ 5⁻¹ = 5⁽⁻³ ⁻⁽⁻¹⁾ = 5⁽⁻³ ⁺ ¹⁾ = 5⁻²
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Complete Question:
Directions: Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Simplify the expressions, and match the expressions that are equal in value.
5³ ÷ 5⁻¹
5³ × 5⁻¹
5⁻⁴
1/5⁴
5⁻³ ÷ 5⁻¹
A square with side length ppp has an area of 169169169 square centimeters. The following equation shows the area of the square.
p^2 = 169p
2
=169p, squared, equals, 169
What is the side length of the square in centimeters?
Answer:
Side = 13 cm
Step-by-step explanation:
To find the side of the square:
Area = 169 square cm
[tex]\sf \boxed{\bf Side = \sqrt{area}}[/tex]
[tex]\sf = \sqrt{169}\\\\ = \sqrt{13*13}\\\\ =13 \ cm[/tex]
If f(x)=-x^2-1, and g(x)=x+5, then f(g(x)) =
Answer:
-8x^2+2x+5
Step-by-step explanation:
Distributive Property
Gen need help pls plsss
Answer:
Choice a
y = 2x -5
Step-by-step explanation:
The slope-intercept form of a line is y = mx + b where m is the slope and b the y-intercept
The given line has slope = 2
A parallel line will have slope = 2 also
So the only choice is 2x + 5 which is choice a
FINANCE
A financial advisor handles the a customer's stock
portfolio. For every transaction, a certain financial advisor
gets a 1% commission, regardless of whether the transaction
is a purchase or sale. Write a formula for the advisor's
commission. Let D represent the value of one transaction.
Give two examples of how this financial advisor could earn a
commision of $1000 by completing two transactions.
Answer:
whether the transaction
is a purchase or sale. Write a formula for the advisor's
commission. Let D represent the value of one transaction.
Give two examples of how this financial advisor could earn a
commision of $1000
Step-by-step explanation:
Answer:
gove two examples of how this financial advisor could earn a
Step-by-step explanation:
Write each equation in exponential form.
log₂1/2=-1
The answer to this question is 1/2
Logarithmic scale: A measurement scale in which the position is marked using the logarithm of a value rather than the actual value.
A logarithmic equation includes a logarithm in the variable x.
An exponential equation is one in which the variable is represented by an exponent. A logarithmic equation is one in which the logarithm of a variable-containing expression is used.
For logarithmic equations, log b (x) = y is equivalent to b^y = x such that x > 0, b > 0 and b is not equal to 1.
In the given problem, b = 2, x = 1/2, and y = -1.
b =2
x = 1/2
y = -1
Substituting the values of b, x and y into the equation b^y = x;
2^(-1) = 1/2
therefore, the value of the given equation log₂1/2=1 is 1/2.
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The terms grid, linear, quadrant, zone, and spiral are typically used to describe datum points. True or false?.
Answer:
False
Step-by-step explanation:
its multiplying matrices
Answer:
0 -2 -1 1
4 -4 -4 12
-3 1 2 8
Step-by-step explanation:
in that exact order, 3 by 4
(b) Suppose a rocket, as designed, cannot provide enough velocity to achieve a stable orbit. Could alterations to the rocket make a stable orbit achievable? Explain.
The rocket moves really fast with high speed.
What is rocket ?A projectile that receives thrust from a rocket engine is known as a rocket (from the Italian rocchetto, which means "bobbin/spool"). All of the propellant carried by the rocket is used to create the exhaust from its engine.
In actuality, the absence of an atmosphere in space allows rockets to operate more effectively.
Due to their ability to reach Earth's escape velocity, multistage rockets can reach any maximum altitude. Rockets may produce significant accelerations and are powerful, light, and lightweight when compared to airbreathing engines.
In order for rockets to go forward and function in the vacuum of space, their action-reaction engines quickly discharge exhaust in the opposite direction.
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I'm thinking of a number and if I add 3 and divide
by 2, I get -4, what is my number?
Answer:
x= -11
Step-by-step explanation:
(x+3)/2 = -4
multiply both sides by 2
x+3 = -8
move 3 to other side through subtraction
x = -11
Tickets for an Amtrak train cost $17 for children and $36 for adults. Josie paid $2,297 for a total of 77 tickets. How many children tickets and how many adult tickets did Josie buy?
Adult tickets costs $63.8
Children tickets costs $13.2
How to calculate the amount of adult and children tickets ?Let x represent the adult tickets and y to represent the cost of children tickets
x + y= 77..........equation 1
36x + 17y= 2,297........equation 2
From equation 1
x= 77-y
Substitute 77-y for x in equation 2
36(77-y) + 17y = 2297
2772 - 36y= 2297
-36y= 2297-2772
-36y= -475
y= 475/36
y= 13.2
Substitute 13.2 for y in equation 1
x + 13.2 = 77
x= 77-13.2
x= 63.8
Hence adult tickets costs $63.8 and children tickets costs $13.2
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I really need help on this Math homework
Answer:
x + 3x + 56 = 180
x + 3x = 124
4x = 124
x = 31
Step-by-step explanation:
A: 31
B: 3(31) = 91
C: 56
Total: 180
Let f(x)=2 x+5 and g(x)=x²-3 x+2 . Perform each function operation, and then find the domain.
f(x) \cdot g(x)
The values for f(x).g(x) = 2x² -6x +9
What is the domain of the function f(x). g(x)?
Given:
f(x)=2 x+5 and g(x)=x²-3 x+2
(f.g)x = f(g)x)
g(x) = x²-3 x+2
f(x²-3 x+2) = 2 (x²-3 x+2) +5
f(x²-3 x+2) = 2x² -6x +9
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Jillian volunteered to work at the ticket booth for her school's Halloween carnival. The chart below gives the number of hours Gwen worked and the total amount of money she collected for the tickets she sold.
Tickets (t) Money (m)
10 $25.00
8 $20.00
6 $15.00
4 $10.00
Based on the table, write an equation for the relation between the number tickets Jillian sold and the amount of money she collected.
t= 2.50mt= 2.50m
t=m2.5t is equal to m over 2 point 5
tm = 25tm = 25
m=25tm is equal to 25 t
The equation for the relation between the number tickets Jillian sold and the amount of money she collected is m = 2.5t.
How to compute the equation?It should be noted that there's a constant relationship between the figures that are given.
This can be illustrated as:
= 25/10
= 2.5
Therefore, the equation for the relation between the number tickets Jillian sold and the amount of money she collected is m = 2.5t.
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Simplify each rational expression. State any restrictions on the variables.
x²+8 x+16 / x²-2 x-24
According to the question, the given rational expression is as follows:
Expression = [tex]\frac{x^{2} +8x+16}{x^{2} -2x-24}[/tex]
Simplify the numerator as well as denominator by doing factors which is shown below:
[tex]x^{2} +8x+16=x^{2} +4x+4x+16=(x+4)(x+4)[/tex]
Similarly, denominator factors are as follows:
[tex]x^{2} -2x-24=x^{2} -6x+4x-24=(x-6)(x+4)[/tex]
Now, substituting these values in the given expression, we get:
[tex]\frac{x^{2} +8x+16}{x^{2} -2x-24} = \frac{(x+4)(x+4)}{(x-6)(x+4)}=\frac{x+4}{x-6}[/tex]
Therefore, the final answer for the given expression is [tex]\frac{x+4}{x-6}[/tex].
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a person leaves home at 8:00 am and drives to a destination at a rate of 40 miles per hour. the person returns at a rate of 25 miles per hour and arrives at 2:30 pm. how far was the destination?
Answer:
100mi
Step-by-step explanation:
8. Why is "How many continents are there?" not a statistical question? (1 point)
there is only one answer
O the answer is unknown
Othe answer is less than ten
Oeveryone knows the answer
Answer: The answer is unknown
Step-by-step explanation: 7 continents, so you would only have 1 data.
a) Work out (8 × 10³) × (2 × 10¹) Give your answer in standard form.
Answer:
[tex]1.6 \times 10^5[/tex]
Step-by-step explanation:
[tex](8 \times 10^3) \times (2 \times 10^1)\\\to (8 \times 2) \times (10^3 \times 10^1) \text{ / Remember rule: } a^m \times a^n = a^{m + n}\\\to 16 \times 10^{3 + 1}\\\to 16 \times 10^4\\\to 1.6 \times 10 \times 10^4\\\to 1.6 \times 10^{1 + 4}\\\to 1.6 \times 10^5[/tex]
Find y.
Round to the nearest tenth:
y
x
27°
350 ft
y = [? ]ft
The value of y or the perpendicular of the is 180 rounded to nearest tenth.
Here we have to use Trigonometry
Trigonometry is basically the study of the relationship between the sides and angles of the right-angle triangle. Thus , trigonometry helps to find the missing or unknown angles or sides of a right-angle triangle using the trigonometric formulas, functions or trigonometric identities. In trigonometry, the angles can be are generally measured in degrees
Here we will use Tan α
Tan α = Perpendicular / Base
From the given figure we know that base is given as 350 feet and α is 27°
Tan 27° = y/ 350
0.509 = y / 350
y = 350 × 0.509
y = 178.15
Hence, The value of y or the perpendicular of the is 180 rounded to nearest tenth
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Kloe has 24 sunflowers, 16 roses, and 48 white carnations. She wants to make flower arrangements with the same number of each flower. How many flower arrangements can she make? How many of each type of flower is in a flower arrangement?
Kloe can make 4 flower arrangement
The number of flowers in each flower arrangement is 6 sun flowers, 4 roses and 12 white carnations.
The number of flower arrangements can be calculated as follows;
The first step is to calculate the HCF between the three numbers
24= 6 × 4
16= 4 × 4
48= 12 × 4
The HCF is 4
Hence the number of flower arrangement is 4 and the number of flowers in each flower arrangement is 6 sun flowers, 4 roses and 12 white carnations
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pls pls help whoever gets it right gets a crown
Answer:
No Solution
Step-by-step explanation:
0.3(6y+15)=1.8y+4.5
Step 1: Simplify both sides of the equation.
0.3(6y+15)=1.8y+4.5
(0.3)(6y)+(0.3)(15)=1.8y+4.5(Distribute)
1.8y+4.5=1.8y+4.5
Step 2: Subtract 1.8y from both sides.
1.8y+4.5−1.8y=1.8y+4.5−1.8y
0y+4.5=4.5
Step 3: Subtract 4.5 from both sides.
0y+4.5−4.5=4.5−4.5
0y=0
Step 4: Divide both sides by 0.
0y/0 = 0/0
y=0
Paolo purchased a shirt at store A. He paid $19.50 for the shirt. Raoul purchased the same shirt at store B for $22.35.
How much money did Paolo save by purchasing the shirt at store A instead of at store B?
Answer:
2.85
Step-by-step explanation:
Reason 19.50 - 22.35 = 2.85
Find the area of a triangle with the given base b and height h . b=6 in., h=15 in.
Mr. Lawson needs to borrow 8000 to help pay his son's college tuition. He explored options from several banks. Which option allows Mr. Lawson to pay the smallest amount of interest?
BANK: INTREST RATE: LOAN TERM:
United Bank 4% simple interest. 6 years
Nations First 3.8% simple interest. 7 years
City Credit Union 5.1% simple interest. 4 years
Priority Bank 4.2% simple interest. 5 years.
Mr. Lawson is to pay the smallest amount of interest that is allowed in the City Credit Union which is a simple interest would be 1632.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
To determine the smallest amount of interest.
We have to calculate the simple interest of each bank
United Bank : 4% interest rate and 6 years
S.I. of United Bank = 8000 × 4/100 × 6 = 1920
Nations First :3.8% interest rate and 7 years
S.I. of Nations First = 8000 × 3.8/100 × 7 = 2128
City Credit Union :5.1% interest rate and 4 years
S.I. of City Credit Union = 8000 × 5.1/100 × 4 = 1632
Priority Bank : 4.2%interest rate and 5 years.
S.I. of Priority Bank = 8000 × 4.2/100 × 5 = 1680
So the smallest amount of interest would be City Credit Union which is 1632.
Therefore, Mr. Lawson is to pay the smallest amount of interest that is allowed in the City Credit Union which is a simple interest would be 1632.
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Matias compro un litro de leche, utilizo un medio en el desayuno y un cuarto en la merienda ¿Cuanta leche utilizo en qué momento utilizo mas leche? ¿Cuanta leche sobro?
Answer: Usaste el 75% de la leche y queda el 25%.
Step-by-step explanation:
help please im so lost. can somebody please explain!!!!?
Answer:
Step-by-step explanation:
Depreciation means value falling
10 is the scrap value which means the value that will remain after the product is properly used up.
depreciation for one year will be calculeted through
(original value - scrap value)/ no of years of use
(500 - 10)/3
= 163 is the annual rate of depreciation
If no scrap value is given, then you will simply divide the value by the no. of years of use
b. annual depreciation = 163
original value = 500
500 - 163(x) = worth of the poster after x years
worth remaining after a certain no. of years is also known as net book value.