If a kayak rental shop rents 28 kayaks per week when it charges $25 per day. For each $5 increase in price, the shop loses four kayak rentals per week. 720 is the maximum weekly revenue
What is Equation?Two or more expressions with an Equal sign is called as Equation.
It is given that a kayak rental shop rents 28 kayaks per week when it charges $25 per day
For each $5 increase in price, the shop loses four kayak rentals per week. we need to find How much should the kayak rental shop charge to maximize weekly revenue
R(x)=(25+5x)(28-4x)
=5(5+x)4(7-x)
=20(5+x)(7-x)
=-20(5+x)(x-7)
when x=1 it is maximum
Price when x =1 is 25+5(1)=30
To calculate maximize revenue
R(1)=(25+5)(28-4)
=30(24)
=720
Hence the maximum weekly revenue is $720.
To learn more on Equation:
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Help please I’m going to be in big trouble
Please show work, I have no idea how to do this
Answer:
161 Remainder 4
Step-by-step explanation:
trust me on this
Answer:
_
161.2 BUT if with remainder it is 161 with a remainder of 4
Step-by-step explanation:
By the way the 2 is a repeating number so make sure to add that line at the top.
Which figure in the drawing best represents a dilation of figure A with a scale factor of 1.5?
A.r
b.q
c.s
d.t
pls i only have 1 minute left hurry
Answer:
look at the picture i have sent
What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9) Number line from negative 8 to positive 8 in increments of 1 is shown. Only the even numbers are labeled. A point labeled P is placed at the seventh tick mark to the left of 0. Numerical Answers Expected!
Answer:
-7
Step-by-step explanation:
there are 16 increments in total, and half are labeled
so the answer is -7 because if the increments are 1 and it is left of zero, so do 7*-1 because it is to the left
Answer:
-7
Step-by-step explanation:
Why is all the answers on this website saying my work is wrong.
Answer:
you're wrong
Step-by-step explanation:
should have been "Why are all the answers on this website saying my work is wrong?"
there were 230 leprechauns in school this year last year there were 175 leprechauns what is the percent change in the number of leprechauns.
Answer:
0.55%
Step-by-step explanation:
230÷100=2.30%
175÷100=1.75%
2.30-1.75=0.55%
I think ♂️
The weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean Mu and standard deviation Sigma. According to the Empirical Rule, what percentage of the bags will have weights within 3 standard deviations of the mean? 47. 5% 68% 95% 99. 7%.
The center of an inscribed circle is
formed by the construction of which
three segments?
Angle bisectors
Vertice
Perpendicular bisectors
Circumcenters
Answer:
Angle bisectors, Perpendicular bisectors, and Circumcenters
Use the definite integral and the Fundamental Theorem of Calculus to solve the following problem. A ball is thrown upward from a height of 1.2 m at an initial speed of 58 m/sec. Acceleration resulting from gravity is -9.8 m/sec^2. Find the following:
v(t)= _________
h(t)= ________
If v(t) and h(t) denote the ball's velocity and height at time t, respectively, then we have h(0) = 1.2 m and v(0) = 58 m/s.
The ball is in free fall after being tossed, so its acceleration is constant at any time t :
[tex]a(t) = -9.8 \dfrac{\rm m}{\mathrm s^2}[/tex]
By the fundamental theorem of calculus, the velocity function is given by
[tex]\displaystyle v(t) = v(0) + \int_0^t a(u) \, du[/tex]
Compute the integral:
[tex]\displaystyle v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) \int_0^t du[/tex]
[tex]\displaystyle v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) (t - 0)[/tex]
[tex]\displaystyle \boxed{v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t}[/tex]
Similarly, the height function is given by
[tex]\displaystyle h(t) = h(0) + \int_0^t v(u) \, du[/tex]
[tex]\displaystyle h(t) = 1.2 \, \mathrm m + \int_0^t \left(58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t\right) \, du[/tex]
[tex]\displaystyle h(t) = 1.2 \, \mathrm m + \left(58 \frac{\rm m}{\rm s}\right) (t - 0) - \frac12 \left(9.8 \frac{\rm m}{\mathrm s^2}\right) (t^2 - 0^2)[/tex]
[tex]\displaystyle \boxed{h(t) = 1.2 \, \mathrm m + \left(58 \frac{\rm m}{\rm s}\right) t - \frac12 \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t^2}[/tex]
Answer:
V(t) = 58-9.8t
h(t)=1.2+58t-4.9[tex]t^{2}[/tex]
Step-by-step explanation:
Using the standard formula
a=V f-Vi/t --rearrange
at=V f-Vi
V f=V i + a t
therefore
V(t)=58-9.8t
same with height
H= Hi+Vit+1/2at^2
therefore
h(t)=1.2+58t-4.9t^2
what is the value of x?
a)
[tex]2 \sqrt{10} [/tex]
b)
[tex]2 \sqrt{2} [/tex]
c)
[tex]2 \sqrt{5} [/tex]
d)
[tex]2 \sqrt{3} [/tex]
Answer:
A
Step-by-step explanation:
using pythagoras theorem
h²=p²+b²
is 6,8,10 a pythagorem theorem? pls help me due rn
Answer:
Should be
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
Using the formula a^2+b^2=c^2, take the square of 6 (6x6=36) and 8 (8x8=64) and add them together to get the square of 10 (10x10=100) 64+36 does equal 100. Remember that the biggest number is c and the two sides a and b have to add to get c.
Terry buys an orange for 18p. He pays with a £1 coin. How much change does he get?
Answer:
57p
Step-by-step explanation:
so 1 pound is just 1.00 so
1.00-0.43=0.57
so terry will get 57p change
the ratio of adult to children in the spot club is 5:3 There are 120 people in the club. how many children are there
Answer:
5:3=8
3/8 x 120
3/1 x 15
3 x 15=45
Step-by-step explanation:
hope this helps
sorry
Suppose that 11% of people own dogs. If you pick two people at random, what is the probability that they both own a dog
slope = -5/2,y-int=2
Answer:
Step-by-step explanation:
The equation of this line is:
y = -5/2 x + 2.
pls help
The volume of a soap bubble is 62.3mm^3 Find the radius and diameter of the soap bubble. Use 3.14 for pie.
The radius of the bubble is about mm.
(Round to the nearest tenth as needed.)
Answer:
what is the radius of 2
Step-by-step explanation:
HELP I WILL GIVE BRAINLEST
Step-by-step explanation:
smallest value 30° largest value 150°.
Answer:
30, 150
Step-by-step explanation:
sin θ = 1 / 2
sin 30 = 1 / 2
θ = 30
So,
the smallest value of θ is 30.
sin ( 180 - 30 ) = sin 150 = 1 / 2
So,
the larger value of θ = 150.
the person who answes my question can u stay because i have more thankyou
Answer:
c. 60 mins
Step-by-step explanation:
12 * 5 = 60
15 * 4 = 60
1.2192 rounded to the nearest hundred
Answer:
1.22
Step-by-step explanation:
help........................................................
Answer:
64 by 16 feet
If one ream of bond paper costs (3x -4) pesos. How many reams can you buy for ( 6x4 -17x3 +24x2- 34x + 24) pesos?
Answer:
1 ream = (3x - 4) pesos
Price of n reams = (6x^4-17x^3+24x^2 34x+24) pesos
Solution:(pic1)
number of reams 3x-4
By using synthetic division,
3x-4=0
3x=4
x=4/3
6 -17 24 -34 24 | 4/3
8-12 16-24
6 -9 12-18 0
Final equation is:(pic2)
3
Choose the option(s) that will show the effect (x-2. y+3) has on the figure?
left 2 units
down 2 units
down 3 units
up 2 units
right 3 units
left 3 units
up 3 units
right 2 units
Hiii!!! Can some one please help meee!!! I will give you a lot of points!!!
Answer:
left 2 units, up 3 units
Step-by-step explanation:
(x-2, y+3)
-2 means 2 to the left
+3 means 3 up
So it would be left 2 units, up 3 units.
Answer:
left 2 units up 3 unitsStep-by-step explanation:
Rule:
If x+b right in b units
if x-b left in b untits
if y+b up in b units
if y-b down in b units
You don 't have to use this rule if you know that on the Ox axis the line goes horizontally (the abscissa axis); And on the Oy axis vertically (the ordinate axis)
Then :
x-2 left in 2 units
y+3 up in 3 units
need help please 100 pts
Answer:
b)
Step-by-step explanation:
What is 9% as a fraction or mixed number in simplest form?
Answer:
9/100
Step-by-step explanation:
9×100 = 9/100 I think
100 POINTS PLEASE
PLEASE BRAINLIEST
Here
NB||NAShow sum of interior angles is 180°
[tex]\\ \sf\longmapsto <NBA+<NAB=180[/tex]
[tex]\\ \sf\longmapsto <NAB+103=180[/tex]
[tex]\\ \sf\longmapsto <NAB=180-103[/tex]
[tex]\\ \sf\longmapsto <NAB=77°[/tex]
Vertical angles are supplementary
We need m<NAB
180-m<NBA180-10377°Graph the triangle with the given vertices. Find the length of the hypotenuse of the triangle. Assume a is a positive number.
X(0,0)
Y(a,2)
Z(a,0)
[tex]\\ \sf\longmapsto XY=\sqrt{x^2+y^2}[/tex]
[tex]\\ \sf\longmapsto XY=\sqrt{a^2+2^2}[/tex]
[tex]\\ \sf\longmapsto XY=\sqrt{a^2+4}[/tex]
[tex]\\ \sf\longmapsto XY=2+a[/tex]
PLEASE HELP IT’S DUE TMR!!
Answer:
see below
Step-by-step explanation:
just reduce to 3 digits before the decimal place and count how many are behind the decimal for what power the 10 is, not including numbers that were already behind the decimal
a. 107.92*10^2
b. 376.932*10^0
c. 998.461*10^3
Answer:
When rounding significant figures the standard rules of rounding numbers apply, except that non-significant digits to the left of the decimal are replaced with zeros.
Step-by-step explanation:
(a) 10792 ≈ 10800
(b) 376.932 ≈ 377
(c) 998461 ≈ 998000
Can someone help me solve this integral plsss?
integral of (2xˆ3+3xˆ2+x)/(xˆ2+1) dx
I NEED HELP please help
Answer:
1. 2/5, 2. -1. 3. 5/2, 4. 1, 5. 1/5, 6. -4/3, 7. 1/3, 8. -1/10
Step-by-step explanation:
1-3: the formula for slope is (y2 - y1)/(x2 - x1) for points (x1, y1) and (x2, y2)
1. we have points (-2, -1) and (3,1) ,plug these into the formula to get (1-(-1))/(3-(-2)) = (1+1)/(3+2) = 2/5 so the slope is 2/5
2. we have points (-3, 2) and (2, -3): (-3-2)/(2-(-3)) = -5/5 = -1
3. (-1, -2) (1,3): (3-(-2))/(1-(-1)) = 5/2
4-6: you can use the same formula
4: (1,0) (3,2): (2-0)/(3-1) = 2/2 = 1
5. (8,0) ( 13, 1) (1-0)/(13-8) = 1/5
6. (2, -1) ( 5, -5) (-5+1)/(5-2) = -4/3
7-8: slope= rise/run
7. rise=8, run=24, 8/24=1/3
8. rise=-100, run=1000, slope= -100/1000 = -1/10