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Gnom [1K]
2 years ago
12

A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars) of the bracelet,

where x is the number of charms.
a. Graph the equation.
b. How much does a bracelet with three charms cost?
Mathematics
1 answer:
nika2105 [10]2 years ago
3 0
Bsbshshhsjsjajsjsjan
b 140

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A store finds that its sales revenue changes at a rate given by S'(t) = −30t2 + 420t dollars per day where t is the number of da
allochka39001 [22]

Answer:

Step-by-step explanation:

Give the rate of change of sales revenue of a store modeled by the equation S'(t)= -30t^{2} + 420t. The Total sales revenue function S(t) can be gotten by integrating the function given as shown;

\int\limits {S'(t)} \, dt = \int\limits ({-30t^{2}+420t }) \, dt \\S(t) = \frac{-30t^{3} }{3}+\frac{420t^{2} }{2}\\  S(t)= -10t^{3} +210t^{2} \\

a) The total sales for the first week after the campaign ends (t = 0 to t = 7) is expressed as shown;

Given\ S(t) = -10t^{3} + 210t^{2}

S(0) = -10(0)^{3} + 210(0)^{2}\\S(0) = 0\\S(7) = -10(7)^{3} + 210(7)^{2}\\S(7) = -3430+10,290\\S(7) = 6,860

Total sales = S(7) - S(0)

= 6,860 - 0

Total sales for the first week = $6,860

b) The total sales for the secondweek after the campaign ends (t = 7 to t = 14) is expressed as shown;

Total sales for the second week = S(14)-S(7)

Given S(7) = 6,860

To get S(14);

S(14) = -10(14)^{3} + 210(14)^{2}\\S(14) = -27,440+41,160\\S(14) = 13,720

The total sales for the second week after campaign ends = 13,720 - 6,860

= $6,860

8 0
3 years ago
She decides to change the length of the top of the top of the trapezoid shaped garden from 32 to 24 ft. Which expression finds t
gulaghasi [49]

Answer:

<h3>The change in the scale factor is \frac{3}{4} ft</h3>

Step-by-step explanation:

Given that Sienna planned a trapezoid-shaped garden.

And She decides to change the length of the top of the trapezoid-shaped garden from 32 ft to 24 ft.

Let Old length of the top be 32 ft

Let New length of the top be 24 ft

Scale factor =\frac{New length}{old length}

Scale factor = \frac{24}{32}

=\frac{3}{4} ft

<h3>∴ the change in the scale factor is \frac{3}{4} ft</h3>
7 0
3 years ago
What is the measure of an exterior angle of a regular 36-gon
pishuonlain [190]

Answer: 360/36 = 10 degrees

3 0
3 years ago
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Find a. Round to the nearest tenth.
Kazeer [188]

9514 1404 393

Answer:

  21.8 cm

Step-by-step explanation:

A useful way to write the Law of Sines relation when solving for side lengths is ...

  a/sin(A) = b/sin(B)

Then the solution for 'a' is found by multiplying by sin(A):

  a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)

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We need to know the angle A. Its value is ...

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Then the desired length is ...

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I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.

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3 years ago
Which choice is true for a square?
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The answer I think is A.
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