9514 1404 393
Answer:
C(x) = x/11 + 34 6/11
Step-by-step explanation:
The two given points are (x, C) = (60, 40) and (170, 50). These can be used in the 2-point form of the equation for a line to find the cost function.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (50 -40)/(170 -60)(x -60) +40
y = (1/11)(x -60) +40
C(x) = 1/11x +34 6/11 . . . . . . cost as a function of copies made
Which of the following is the equation of a line that is parallel to -12x +3y = -9 and
passes through the point (2, 1)?
Answer:
y=4x-7
Step-by-step explanation:
Add 12x to both sides to get 3y=12x-9
Divide by 3 to get y=4x-3
If the line is parallel, the slope is still 4x. So it is y=4x+n.
If in the coordinate point, x=2, and y=1, then the equation is now:
1=(4*2)+n, or 1=8+n
Subtract 8 from both sides to get n=-7
So, the equation is y=4x-7
Math of Finance: Chapter 2 Test
When we left James, he had decided to take a job at Jimmy John's as a sandwich artist with an expected salary of
$31,200 per year. James is really looking forward to the pay increase to help take care of his wife and two kids
After working four weeks, he gets his first check. It is much less than he expected. It turns out he will only get paid
for two weeks because Jimmy John's has a delayed paying process. Everyone gets paid two weeks after they work to
give Human Resources time to prepare the tax information. Since James gets paid every two weeks, a)what is his
gross income for his checks? His pay was much less. It tums out, other people get his money first. He had to pay
Federal Income Tax. b)Use the chart on the back of the test to determine his FIT. He also has to pay State
Income Tax. Oklahoma has a flat 5% tax. c)What is his SIT at 5% of his paycheck? Also, something called FICA
was on his paystub. His employer told him it was a required 6.2% tax for Social Security Retirement and a 1.45%
tax for Medicare when he gets older. d)Find James' Social Security Tax. e)Find his Medicare Tax. What is the
amount of FICA Tax listed as being withheld(add together)? Next came the big schock. Apparently, the
Republican Party still hasn't ended required healthcare. Because of this, James has to pay for group insurance with
Jimmy John's. It is $100 every paycheck, g)what percent of James' gross income is this each month? Finally,
James looks at the other category. It has two deductions listed. First, it has Sandwich Union Body Dues. Annual
dues are $130. h)How much was taken out for SUB dues just this paycheck? The second charged deduction for
other was IRA Retirement. He remembers signing up because Jimmy Johns' offers a matching 5%. If James' is
maximizing the match, i)how much is being taken out for retirement from his paycheck? After going over all the
numbers with his boss, it looks like James' check is correct. j)How much was his net income? If these numbers
remain consistent through the year, k)how much will James bring home for the year? DWhat percent of his
expected salary is this? James was really looking forward to his big paycheck. He thought he would have enough
money to get a loan on a new car. m)Do you think he should try to get the loan or not? n>Explain your opinion.
Answer:
6.2
Step-by-step explanation:
hope it helpes you in the long run
16-(-15) I need help
Answer: 31
Step-by-step explanation:
16-(-15)=
16+15=31
Which statement is the converse of the following conditional? If a polygon has three sides, then it is a triangle. A. If a polygon does not have three sides, then it is not a triangle. B. If a polygon is not a triangle, then it does not have three sides. C. If a polygon is a triangle, then it does not have three sides. D. If a polygon is a triangle, then it has three sides.
Answer:
Step-by-step explanation:
The converse of the conditional statement "If a polygon has three sides, then it is a triangle" is:
D. If a polygon is a triangle, then it has three sides.
In the original conditional statement, the "if" part is "a polygon has three sides," and the "then" part is "it is a triangle." The converse switches the positions of the "if" and "then" parts, resulting in the statement "If a polygon is a triangle, then it has three sides."
Apply Cavalieri's principle to determine which statements are correct.
A)
I.B Area = 11.B Area
B)
II.B Area > III.B Area
C)
1. Volume = II. Volume
D)
II. Volume > III. Volume
E)
I.B Volume = II.B Volume = III.B Volume
Answer:
Step-by-step explanation:
Answer:
A:) I.B area
C:) I. Volume=II.Volume
E:) I.B volume= II.B volume= III.B volume
Step-by-step explanation: i did the usa test prep
What are the domain and range of the function?
f(x) = -5/5x^3
Answer:
Domain: all real numbers
Range: all real numbers
Step-by-step explanation:
Hope that helps!
Please help for 10 and 11.
Answer:
10:A 11:D
Step-by-step explanation:
10)
g(\((\sqrt{x+1}^2+3)/(\sqrt{x+1} )\)
rewrite \(\sqrt{x+1}^2\) as x +1
g \((\sqrt{x+1}^2)\) = \(\frac{x+1+3}{\sqrt{x+1} }\)
add 1+3
g\((\sqrt{x+1}^2)\)=\(\frac{x+4}{\sqrt{x+1} }\)
combine and symplify
\(g{\sqrt{x+1} } *\frac{{x+4 (\sqrt{x+1}) } }{{x+1} }\)
reorder factors of the second side
\(g{\sqrt{x+1} } *\frac{{\sqrt{x+1} (x+4) } }{{x+1} }\)
take out the root x+1
and you are left with A
11.
f(g(x))
substitue g into f
f(\(f{\sqrt{x+3} } =\((\sqrt{x+3})^2 +9}\)
rewrite sqrroot x+3 as x+3
\(f{\sqrt{x+3} } =\(x+3 +9}\)
Now add 3+9
\(f{\sqrt{x+3} } =\(x+12}\)
we get x+12
Now for domain
\(f{\sqrt{x+3} } =\((\sqrt{x+3})^2 +9}\)
set the radicand root sqr x+3 >= 0 to find the expression defined
\(x+3\geq 0\)
subtract 3 from both sides
\(x\geq 3\)
turn it into interval notation
[-3,+∞)
Thomas' dog
had 10 puppies. 2
were yellow, 5. were
mixed and the rest
were black. What
decimal represents black dogs out of the total.
black dogs out of
the total?
Answer
0.3
Step-by-step explanation:
HELP PLEASE AS SOON AS POSSIBLE WILL GIVE U BRAINLIST
Answer:
The table represents a nonlinear function because the rate is not constant.
Step-by-step explanation:
As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.
Find the area and perimeter of the parallelogram. (Hint: Don't forget your units!)
7 cm
8 cm
4 cm
The area and perimeter of the parallelogram are: 56 square units and 30 units respectively
What is a parallelogram?In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The parameters that will help us do the math are
base = 7
height = 8
Area = 8*7 = 56 square units
perimeter 2b + 2h
perimeter = 2*7 + 2*8
= 14 +16
P = 30 units
Therefore, the perimeter of the parallelogram and area are 30 units and 56 square units
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A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day (t in days). Find the insect population after 6 days, assuming that there are 50 insects at t = 0. (Round your answer to the nearest insect.)
Answer:
The insect population after 6 days is of 1639 insects.
Step-by-step explanation:
A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day
This means that \(r(t) = 230 + 8t + 0.9t^2\)
The population of insects after x days is given by:
\(P(t) = \int_{0}^{x}r(t)dt\)
So
\(P(x) = \int_{0}^{x} (230 + 8t + 0.9t^2)\)
\(P(x) = 230t + 4t^2 + 0.3t^3 + K|_{0}^{x}\)
\(P(x) = 230x + 4x^2 + 0.3x^3 + K\)
In which K is the initital population(which is 50). So
\(P(x) = 230x + 4x^2 + 0.3x^3 + 50\)
After 6 days:
\(P(6) = 230*6 + 4*6^2 + 0.3*6^3 + 50 = 1638.8\)
Rounding to the nearest insect, 1639
The insect population after 6 days is of 1639 insects.
Simplify the expression
4a
6(a + b)
Enter the correct answer.
Someone help plz
Answer:
4 7 + 4 6
Explanation:
Answer:
10a+6b
pls mark as brainliest.
Step-by-step explanation:
I think you mean 4a+6(a+b)?
We need to multiply out the the 6(a+b) first.
4a+6(a+b)
=> 4a+6a+6b
Then, we can add the like terms, which in this case are 4a and 6a:
=> 10a+6b
pls mark as brainliest.
In the isosceles trapezoid below,
x = = [? ]°
Answer:
Step-by-step explanation:
yes
if you solve the equation,
5x+15=7x-11
26=2x
x=26/2=13
What percentage of growth is needed annually to reach 400,000 in 3 years if today I have 200,000
Answer:
approx 26%
Step-by-step explanation:
you try find the multiplier
200000 * 1. ???? ^3= 400000
rearrange equation
\(\sqrt[3]{\frac{400000}{200000} }\) = multiplier
1.25992105
subract one
0.25992105
multiply by 100 to get percentage
25.9%
rounded to whole number = 26%
What is the length of segment AB?
Consider the diagram.
07
09
O 18
O 25
The length of segment AB is,
AB = 9 units
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
In triangle ADC,
AC = 9
AD = 16
Hence, We have;
Line l is divide the base AC in two equal parts.
Hence,
⇒ AB = AC
This gives,
AB = 9 units.
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what is 2/3 times 3/7
Answer: 2/3 time 3/7 it would be 6/21
Step-by-step explanation: because you would multiply bot the numerator and denominater.
Please help me in confused
Answer:
20\(c^{6}\)
Step-by-step explanation:
using the rule of exponents
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)
given
(- 4c³)(- 5c³) ← remove parenthesis
= - 4 × c³ × - 5 × c³
= - 4 × - 5 × c³ × c³
= 20 × \(c^{(3+3)}\)
= 20\(c^{6}\)
Helppp plzz HELPPPPPPPPPP
Answer:
D=m/v
Step by Step Explanation
Density = mass divided by volume
20 points to help me
Answer:
The answer is A
Step-by-step explanation:
Subtract from right to left
85, 678
-28, 989
=56, 689
caculate the area of a rectangle width 3.1 m and 6m length using 3.1 for pi were necessary
Answer:
area of a rectangle is L × B
3.1m ×6m = 18.6 m
The width of a rectangle is 4 less than half the lenght. If L represents the length, which equation could be used to find the width, w?
Answer:
Step-by-step explanation:
Find the midpoint of a segment. It is geometry please help.
renting company Charge 35 per day to rent
a boat allong with a 50$ one-time cleaning fee.
Enter the equation in y=Mx+b form
Answer:
y=35x+50
Step-by-step explanation:
The 50 is a one-time fee, therefore it is shown as addition
35 per day means that for 3 days, you would pay 105
X represents the number of days
The radius of the circle is 2.5 cm. - Find the circumference of the circle. Round your answer to the nearest centimeter
2.5 cm
8 cm
O 16 cm
O 79 cm
O 157 cm
Answer:
I would say A but i am not sure i did not take the test
Step-by-step explanation:
a jewllery shop is having a sale
The original price of the bracelet was £1400.
What do you mean by Percentage ?Percentage is a way of expressing a proportion or a fraction as a part of 100. It is denoted using the symbol "%". For example, 50% means 50 out of 100, or half, while 25% means 25 out of 100, or one-quarter.
We can start by using the information given to set up an equation that relates the original price of the bracelet with the sale price and the percentage reduction:
original price x (100% - 70%) = sale price
Simplifying the percentage reduction:
original price x 30% = sale price
Substituting the given sale price (£420):
original price x 30% = £420
To solve for the original price, we need to isolate it on one side of the equation. We can do this by dividing both sides by 30% (which is the same as multiplying by 100/30 or 10/3):
original price = sale price / 30% = £420 / 30% = £1400
Therefore, the original price of the bracelet was £1400.
Complete question - A jewelry shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.
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Find the measure of the indicated angle.
99⁰
96⁰
98⁰
92°
L
120°
K
N
M
64
Answer:
? = 92°
Step-by-step explanation:
the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°
Is this right? plz help
9514 1404 393
Answer:
one-story: 10 doorstwo-story: 13 doorsStep-by-step explanation:
Let o and t represent the numbers of doors in a one-story and a two-story house, respectively.
2o +t = 33 . . . . . . . . west-side doors
8o +t = 93 . . . . . . . . east-side doors
__
6o = 60 . . . . . subtract the first equation from the second
o = 10
2(10) +t = 33 . . . . substitute for o in the first equation
t = 13 . . . . . . . . subtract 20
__
Each one-story house has 10 doors, and each two-story house has 13 doors.
Need help asap please show work
Answer:
m<5= 75° Alternate angles are equal
m<6 = 180°-75°= 105 ° Angles on a straight line adds up to 180°
In a rectangle opposite sides are equal so AB= CD
2x+8= 3x+4
3x-2x=8-4 ( combine like terms, the signs will change since they are going over opposite sides)
x= 4
To solve for BC
AD= BC
x+17 ( we know that x=4)
4+17=21
Therefore BC= 21
What is the correct evaluation of x2 - x + y2 when x is equal to 5 and y is equal to -2?
the value for the expression x² - x + y² for x = 5 and y = - 2 will be 24.
We are given an expression:
x² - x + y²
We need to find the value of the expression for x = 5 and y = - 2.
Now, substituting the values of x and y in the expression that is given to us, we get that:
x² - x + y²
( 5 )² - ( 5 ) + ( - 2 )²
Solving the squares of the numbers, we get that:
25 - 5 + 4
Simplifying to get the value of the expression, we get that:
= 24
Therefore, the value for the expression x² - x + y² for x = 5 and y = - 2 will be 24.
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como resolver:
"los ceros son 0, -1, 1, 3/2, P(-3) = 300"
The polynomial with the given zeros is:;
P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)
How to find the polynomial?Remember that if a polynomial has the zeros a, b, c, and d, then we can write it as:
P(x) = K*(x - a)*(x - b)*(x - c)*(x - d)
Where K is a coefficient.
Here the zeros are 0, -1, 1, 3/2
Then we can write:
P(x) =K*(x - 0)*(x + 1)*(x - 1)*(x - 3/2)
P(x) =K*x*(x + 1)*(x - 1)*(x - 3/2)
We also know that when x = -3, P(x) = 300
Then we can write:
300 = K*(-3)*(-3 + 1)*(-3 - 1)*(-3 - 3/2)
300 = K*(-3)*(-2)*(-4)*(-9/2)
300 = K*108
300/108 = K
Then the polynomial is:
P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)
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factor and solve
x^2-4x=5
Let’s solve the equation x^2 - 4x = 5 by factoring:
First, we’ll move all the terms to one side of the equation:
x^2 - 4x - 5 = 0
Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:
(x - 5) (x + 1) = 0
Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:
x - 5 = 0 or x + 1 = 0
Solving each equation separately, we find that x = 5 or x = -1.
So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.