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kicyunya [14]
2 years ago
10

Dorothy Wagner is currently selling 80 "I ♥ Calculus" T-shirts per day, but sales are dropping at a rate of 2 per day. She is cu

rrently charging $7 per T-shirt, but to compensate for dwindling sales, she is increasing the unit price by $1 per day. How fast, and in what direction, is her daily revenue currently changing?
Mathematics
1 answer:
GrogVix [38]2 years ago
3 0

Answer:

Increasing by $66 per day

Step-by-step explanation:

If sales are dropping at a rate of  2 per day, the sales function is:

S = -2t +80

If price is increasing by $1 per day, the daily price function is:

P=1t+7

Revenue is given by daily sales multiplied by daily price:

R = S(t)*P(t) = (-2t+80)*(t+7)\\R(t) = -2t^2+66t+560

The derivate of the revenue function gives us the daily rate of change in revenue:

R(t) = -2t^2+66t+560\\R'(t) = -4t+66

Currently (t=0) her daily revenue is changing by:

R'(0) = -4*0+66\\R'(0) = \$66

Her revenue is increasing by $66 per day.

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Which of the following describes the graph of y = StartRoot negative 4 x minus 36 EndRoot compared to the parent square root fun
RoseWind [281]

Answer:

stretched by a factor of 2, reflected over the y-axis, and translated 9 units left

Step-by-step explanation:

The given function is y=\sqrt{-4x-36}

We can rewrite this function by factoring -4 in the radicand to get:

y=\sqrt{-4(x+9)}

We further simplify the square root of 4 to get:

y=2\sqrt{-(x+9)

The parent function is y=\sqrt{x}

When we compare to the parent function, there is a stretch by a factor of 2, reflection over the y-axis, and translation 9 units left

The last option is correct

3 0
2 years ago
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a triangle has an area of 38.4cm.the height of the triangle is 12.8cm.what is the length of the base of the triangle​
Solnce55 [7]

Answer: 6  cm

Step-by-step explanation:

Use equation for area of triangle

A=a*h/2

a*h=2A

a=2A/h

where a  represents base of triangle

h represents height of triangle.

h=12.8 cm

A=38.4 cm²

a=2A/h=2*38.4 cm²/12.8 cm=76.8cm²/12.8cm= 6 cm

4 0
2 years ago
Kevin wanted to go snowboarding for his vacation. Explain how he could make his decision regarding whether to go to Resort A or
Tcecarenko [31]

Answer:

Resort A has more consistent snowfall, so it shows less variation. However, the snowfall for Resort B has a higher median, and the interquartile range is higher (not larger), so it is more likely that Kevin will find a good snowfall at Resort B.

Thanks:) I just did it edg

Step-by-step explanation:

5 0
2 years ago
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Zane and Matt are both keen runners. Zane takes 4 minutes to jog around a running track and Matt takes 5 minutes. They start at
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I believe that the correct answer to this question is B. because matt took more than 5 minutes .
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