Answer: 139.65 or 25.34.
Step-by-step explanation:
The revenue function will be:
= Price × Quantity
= P × (7,000 - 50p)
= 7000p - 50p²
The coat function is given as:
C = 2,000 + 25q
C = 2000 + 25(7000 - 50p)
C = 2000 + 175000 - 1250p
C = 177000 - 1250p
Then, we'll equate the revenue function to the cost function. This will be:
7000p - 50p² = 177000 - 1250p
-50p² + 7000p + 1250p - 177000 = 0
-50p² + 8250p - 177000 = 0
Divide through by -50
p² - 165 + 3540 = 0
Solving to get the value of P will then give us 139.65 or 25.34.
Determine which ordered pair is a solution of y = -5x - 1.
a. (9,-2)
b. (5, 24)
C. (-1,6)
d. (-4, 19)
Answer:
d.
Step-by-step explanation:
1) just to substitute the value of 'x' into the given equation and check equality:
(9;-2): -2≠ -45-1;
(5;24): 24≠-25-1;
(-1;6): 6≠5-1;
(-4;19): 19=20-1.
Can anyone help lend me a hand solving these problems please?
Answer:
Timmy's tubes = 11.25$
Fred's floats = 11.375$
Step-by-step explanation:
For Timmy's tubes
We use unitary method to solve
For 2 1/2 hours, it charges $18.75
So, for 1 1/2 hours it charges $11.25
Similarly for Fred's floats
Base fee = $2
Fee per hour = $6.25
So, for 1 1/2 hour fee = 2 + 6.25 + 3.125 = $11.375
So, Terry should choose Timmy's tubes
well, let's see, what do we know about Timmy's Tubes, is a direct variation equation, since he's charging depending on the hours it's rented, thus
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{\underline{c}ost varying with \underline{h}ours}}{c = kh}\qquad \textit{we know that } \begin{cases} c=18.75\to \frac{75}{4}\\ h=1\frac{1}{2}\to ~\hfill \frac{5}{2} \end{cases} \\\\\\ \stackrel{cost}{\cfrac{75}{4}}=\stackrel{hours}{\cfrac{5}{2}h}\implies 2\cdot 75=4\cdot 5h\implies 150=20h\implies \cfrac{150}{20}=h\implies \cfrac{15}{2}=h \\\\\\ therefore\qquad c=\cfrac{15}{2}h\impliedby \textit{Timmy's rate}[/tex]
now, Fred charges $2 flat right off, plus $6.25 for every added hour, so Fred's equation will more or less be
1 hour 2 + 6.25(1)
2 hours 2 + 6.25(2)
3 hours 2 + 6.25(3)
h hours 2 + 6.25(h)1)
how much will Timmy charge for 1 1/2 hour?
[tex]c = \cfrac{15}{2}\cdot \stackrel{h}{1\frac{1}{2}}\implies c = \cfrac{15}{2}\cdot \stackrel{h}{\cfrac{3}{2}}\implies c = \cfrac{15}{4}[/tex] or just 3.75
how much will Fred charge for the same time?
[tex]c=2+6.25\left( \frac{3}{2} \right)\implies c=9.375[/tex]
2)
using only $12 for each, who is the better bargain?
[tex]\stackrel{\textit{Timmy's}}{c = \cfrac{15}{2}h}\implies 12=\cfrac{15h}{2}\implies 24=15h\implies \cfrac{24}{15}=h\implies \boxed{1.6=h} \\\\\\ \stackrel{\textit{Fred's}}{c = 2 + 6.25h}\implies 12=2+6.25h\implies 10=6.25h \\\\\\ \cfrac{10}{6.25}=h\implies \boxed{ 1.6=h}[/tex]
well, let's notice, Terri is going to get the same amount of hours with either, so, it really doesn't matter, both will only give 1.6 hours, or 1 hour and 36 minutes.
work out the angle x please help.
Answer:
x is 13°.take the triangle to find the measure of x.180° -(85°+82°)=x
180°-167°=13°
For the given triangle the measure of the angle x is = 3 degrees.
Labeling the given figure,
since angle C and angle B are alternate angles
Therefore,
For the triangle ABE
The interior angle for A = x
The interior angle for B = 180 -98
= 92 degree
Since we know that,
The sum of the two interior angles of a triangle is equal to the exterior angle of the opposite side.
Therefore,
⇒ x + 92 = 180 - 85
⇒ x = 3 degrees.
Hence,
The measure of the angle x is = 3 degrees.
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What is the radius of a hemisphere with a volume of 839 cm", to the nearest tenth of a centimeter?
Answer:
7.4 cm
Step-by-step explanation:
Volume of sphere
v = (4/3)πr³
Volume of hemisphere will be half that
v = (2/3)πr³
(2/3)πr³ = 839
multiply both sides by 3/2
πr³ = 1,258.5
Divide both sides by π
r³ = 400.5929917623
Take the cube root of both sides
r = 7.3717022001
Rounded
r = 7.4 cm
Someone help me please this is an emergency T.T
Answer:
x < 3
Step-by-step explanation:
The graph of f(x) is above the graph of g(x) for values of x less than 3.
Answer: x < 3
Powers are repeated ___________________.
multiplications
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A population analysist is using the formula Pn = 25.8(1.0219)h to predict the population for Ghana, a country in Africa. What does the number in in parenthesis tell us?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the formula :
Pn = 25.8(1.0219)^h to predict the population of Ghana ;
The equation given is in the form of an exponential function:
The general form of an exponential distribution :
y = ab^x
a = Initial value ; b = constant multiplier or growth or Decay factor
Comparing :
The number in parenthesis = 1.0219 = b
b = Decay or growth factor :
Since b > 1 ; then We have a growth factor;
b = 1 + rate
1.0219 = 1 + rate
Rate = 1.0219 - 1
Rate = 0.0219
Hence, the population is growing at a rate of about (0.0219)*100% = 2.19%
the equation of a circle C is (x+2)^2+(y-7)^2=36. What is its crnter (h,k)?
Answer:
The center is ( -2, 7) and the radius is 6
Step-by-step explanation:
A circle is written in the form
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x+2)^2+(y-7)^2=36
(x - -2)^2+(y-7)^2=6^2
The center is ( -2, 7) and the radius is 6
Melinda is playing a game with a number cube. Each face of the cube has a number from 1 to 6. If she tosses a number greater than 4she wins the round. Which statement correctly describes her chances of winning?
A)Melinda will certainly win the round.
B)Melinda will most likely win the round.
C)Melinda has an equal chance of winning or not winning the round.
D)Melinda will most likely not win the round.
Answer:
Step-by-step explanation:
She wins if the numbers 5 or 6 come up. There are 4 other numbers that are equally likely to be face up.
Most of the time she will lose because two out of 6 is much smaller than 4/6. If you were betting on horses, the odds are 1 in 2. That means that who ever you are playing against should put up 2 dollars for every dollar you put up.
That would be a fair game.
Answer:
the correct t answer is d
PLEASE HELPPP !!!!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT
Answer:
128° because it is same side exterior with <5
Step-by-step explanation:
[tex] < 6 = \: < 4 = \: < 1 = 128 \degree[/tex]
Answer:
128 because it corresponding with 5
please help as soon as possible:)
Answer:
First table (far left)
Step-by-step explanation:
The far-left table is the only function with a constant rate. All other tables do not contain this.
If f(x) =2x²+5sqrt(x-2), complete the following statement: f(6) =
Answer:
f(6) = 82
Step-by-step explanation:
[tex]f(x) = 2x^2 + 5\sqrt{x-2}[/tex]
[tex]=> f(6) = 2(6)^2 + 5\sqrt{6-2}[/tex]
[tex]= 2 \times 36 + 5 \times \sqrt{4}[/tex]
[tex]= 72 + 5 \times 2[/tex]
[tex]= 72 + 10[/tex]
[tex]= 82[/tex]
what is the area of the irregular polygon shown below?
this contain two triangle and one rectangle
therefore total area = 2×area of triangle + area of rectangle
then refer the attachment
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
Assume that you take out a $2000 loan for 48 months at 3.5% APR. How much total interest will you have paid at the end of the 48 months? (Round your answer to the nearest cent.)
$
Step-by-step explanation:
Are you using a particular calculator for the class? For this class, is the payment expected to be compounded monthly?
There is a function in Microsoft Excel that will calculate the payment for you, but the answer is going to be slightly different for a business math class than a calculus-based statistics class.
The excel formula to calculate a payment is
=PMT(0.04/12,60,25000,0)
.04/12 is the interest APR on a monthly basis
60 is the number of months
25000 is the current amount owed
0 is the future balance after 60 payments
The answer from Excel is $460.41 -- ignore the negative sign for these purposes.
Multiply that number by the 60 months you pay and you get a total paid of $27,624.78
Remove the initial 25K and $2,624.78 is your interest amount.
By the way, I used the simplifying assumptions that the problem meant "interest rate" when it said "APR", and that the rate would compound monthly. In the actual loan industry, the interest rate is only part of the calculation for APR, a
146.08
Step-by-step explanation:
Let's start by figuring out the payment
effective rate: .035/12= .002916667
\begin{gathered}2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71\end{gathered}
2000=x
.002916667
1−(1+.002916667)
−48
x=44.71
then it's just
44.71*48-2000=146.08
Answer:
146.08
Step-by-step explanation:
Let's start by figuring out the payment
effective rate: .035/12= .002916667
[tex]2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71[/tex]
then it's just
44.71*48-2000=146.08
What is the height of the trapezoid?
Answer:
4 inches
Step-by-step explanation:
The line that is perpendicular to the bottom of the trapezoid is the height.
using a=15 b=12 c=21 is the triangle ABC a right angle triangle
PLEASE SOLVE!! Using
using sin∆ = 5/13
= 0.3846
therefore ∆ = 22.62
What is the value of tan(π6)
The question is there are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get? In liters. Enter your answer as a fraction or a mixed number. Part B write a number sentence that represents the problem. In the first box write an equation like 1+1. In the second box write your answer
Given f(x) = 52x, evaluate f(–1), f(0), and f(2). Question 1 options:a. 1/25, 0, 625 B. 25, 1, –25 c. 1/25, 0, 25 d. 1/25, 1, 625
Answer:
1/25, 1, 625
Step-by-step explanation:
The value of the function at f(–1), f(0), and f(2) will be 1/25, 1, 625 thus option (d) is correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
As per the given function,
f(x) = [tex]5^{2x}[/tex]
Put x = -1
f(-1) = 5⁻² = 1/5² = 1/625
Put x = 0
f(0) = 5⁰ = 1
Put x = 2
f(2) = 5²ˣ² = 5⁴ = 625
Hence "The function's value at f(-1), f(0), and f(2) is 1/25, 1, 625".
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AD=7, BD=3, DE=6. Find BC
Answer:
the answer to this is 10 i think sorry if it is wrong
Step-by-step explanation:
The triangles are similar and the measure of BC = 60/7 units
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔABC
Let the second triangle be ΔADE
Now , ΔABC and ΔADE are similar triangles
where corresponding sides of similar triangles are in the same ratio
So , AD / AB = DE / BC
On simplifying , we get
7 / 10 = 6 / BC
Multiply by BC on both sides , we get
BC ( 7/10 ) = 6
Multiply by 10 on both sides , we get
7BC = 60
Divide by 7 on both sides , we get
BC = 60/7
Hence , the measure of BC = 60/7 units
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PLEASE HELP!!! what is the slope on this graph?
Answer:
Step-by-step explanation:
Look at the two points and is it going up or down? The slope is 1/1 because it is going up 1 and over 1
a point has the coordinates (0,k) what is reflection of the point will proceed in a image at the same coordinates (0,k)
Answer:
A reflection of the point across the y-axis
The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.
A graph titled Tammy's Pay with number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).
What does the y-intercept represent?
Tammy initially had $10 pay.
Tammy will type for 10 minutes each day.
Tammy initially had $4 pay.
Tammy will type for 4 minutes each day.
Answer:
Tammy initially had $4 pay.
Step-by-step explanation:
C on edge 2021
The y-intercept represent Tammy initially had $10 pay.
From the given graph, we can observe that the line passes through the points (2, 18) and (8, 42).
Using the two points on the line, the slope (m) of the line:
m = (change in y) / (change in x)
= (42 - 18) / (8 - 2)
= 24 / 6
= 4
Using slope-intercept form of a line equation: y = mx + b,
y= 4x+ b
Put x=2 and y= 18 we get
18 = 4(2)+b
18 = 8 + b
b= 18- 8
b = 10
Thus, the y-intercept represent Tammy initially had $10 pay.
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In a normal distribution, 95% of the data fall within how many standard deviations of the mean? O A. Three standard deviations B. It cannot be determined from the given information. O C. Two standard deviations O D. One standard deviation SUBM
Answer:
Two standard deviations
Step-by-step explanation:
The Z score is obtained using the mean and standard deviation, according to the empirical. Rule, which gives percentage of values that lie within an interval estimate in a normal distribution ;
one standard deviation lie within 68% of the mean
Two standard deviations lie within 95%
Three standard deviations lie within 99.7%
Hence, for the question given, 95% fall within 2 standard deviations of the mean
Determine the value of x.
Answer:
Step-by-step explanation:
(B). 2√2
In circle G with mZFGH
90, find the mZFJH.
Hope this help!!!
Have a nice day!!!
help; what is 120 – 5x < 20
Answer:
x>20
Step-by-step explanation:
Hi there!
[tex]120-5x < 20[/tex]
Subtract 120 from both sides
[tex]120-5x -120< 20-120\\-5x<-100[/tex]
Divide both sides by -5 and switch around the inequality symbol (because we're dividing by a negative number)
[tex]\frac{-5x}{-5} >\frac{-100}{-5} \\x>20[/tex]
I hope this helps!
Determine if the triangles are congruent. If they are, state how you know. NO LINKS!!!!
Part 1c. Show your work please.
Answers:
Each pair of triangles are congruent. The congruence reasoning is shown below.
ASASSSHA======================================
Further Explanation:
ASA is where we have the marked side between two marked angles. This is slightly different from AAS or SAA. The order is important. The diagram shows how the angles pair up (eg: the double arc angles are the same measure). Using ASA is enough to prove the triangles congruent.SSS is used here because we have three pairs of congruent sides. The unmarked sides overlap perfectly, so we consider this a shared side. They are congruent to each other (because of the reflexive property). So we have enough info to show that the triangles are congruent.HA stands for hypotenuse angle. It's probably not that often used. It only applies to right triangles. The two overlapped segments are the hypotenuse of each right triangle, so that takes care of the "H" of "HA". The A part refers to the congruent acute angles (not the right angles). Therefore, the triangles are congruent by the HA theorem.Abbreviations:
ASA = angle side angle
SSS = side side side
HA = hypotenuse angle
what is the significance of triangular design in a scissor,compass,seesaw..give five sentences
Answer:
Triangles have two meanings depending on their position. When pointing up, they represent stability and power, when pointing down they become unstable. The triangle is primarily a masculine shape, but when inverted it also represents female reproduction. Triangles possess a number of key advantages that make them ideal for both architects and curious students. The strength of a triangle derives from its shape, which spreads forces equally between its three sides.
Step-by-step explanation: