Please help me I’ll give you points

A new DVD is available for sale in a store one week after its release. The cumulative revenue,

ratelena [41]

Answer:

f(2) = $180.22

f'(2) = $130.00/week

f'(2)/f(2) = 72.13%

Two weeks after the DVD was released, the revenue from sales is $180.22 and is increasing at a rate of $130 per week, or 72.13% per week.

Step-by-step explanation:

The revenue from sales, in dollars, as a function of time, in weeks, is given by:

$f(t)=260ln(t)$

After two weeks (t=2), the revenue from sales is:

$f(2)=260ln(2)\\f(2) = \$180.22$

The rate of change, which is given by the derivate of the revenue function, at t = 2 weeks is:

$f'(t)=\frac{d}{dt} 260ln(t)\\f'(t) = \frac{260}{t}\\f'(2) = \frac{260}{2}=\$130.00/week$

The relative rate of change is:

$\frac{f'(2)}{f(2)}=\frac{130}{180.22}=0.7213=72.13\%$

Therefore, Two weeks after the DVD was released, the revenue from sales is $180.22 and is increasing at a rate of $130 per week, or 72.13% per week.

5 0

4 years ago

Which postulate proves that the two triangles are congruent?

vlada-n [284]

Answer:

B. SSS

Step-by-step explanation:

All of the sides are the same

4 0

3 years ago

Read 2 more answers

HELP ASAP!

kolezko [41]

Because vertical angles always equal each other. linear pairs always equals 180 degrees always. hope this helps :)

8 0

4 years ago

In ΔBCD, the measure of ∠D=90°, the measure of ∠C=77°, and CD = 41 feet. Find the length of BC to the nearest foot.

OLga [1]

Answer:

182 ft

Step-by-step explanation:

When you are not given a diagram, always draw one for yourself (see diagram).

When you have a right triangle (triangle with 90° angle), you can use the trigonometry ratios, You can remember them using SohCahToa. It is read like this:

sinθ = opposite/hypotenuse Soh

cosθ = adjacent/hypotenuse Cah

tanθ = opposite/adjacent Toa

"θ" means the angle of reference (the angle you are talking about).

We are looking for the length of BC, which is the hypotenuse. I labelled it "d" (lowercase D) because it is opposite to ∠D.

We know ∠C = 77°. This will be our angle of reference (replace θ).

The side we know is DC, also known as "b" (lowercase B) because it's opposite to ∠B. "b" is the adjacent side when θ = C because "b" is touching ∠C.

Take the general trig. formula that has hypotenuse and adjacent: (cosine ratio)

cosθ = adjacent/hypotenuse

Substitute the variables specific for this problem.

cosC = b/d

Substitute the values you know.

cos77° = (41 ft) / d

Isolate "d" to the left side

dcos77° = $d*\frac{41ft}{d}$ Multiply both sides by "d"

dcos77° = 41 ft

dcos77° / cos77° = 41 ft / cos77° Divide both sides by cos77°

d = 41 ft / cos77° Input into calculator

d = 182.261874....... ft Unrounded answer

d ≈ 182 ft Rounded to nearest foot (whole number)

Remember d = BC. It's often easier to use one letter for calculations.

Therefore the length of BC is about 182 feet.

8 0

3 years ago

What is the range of the function represented by these ordered pairs?

Finger [1]

Answer:

Choice 2

Step-by-step explanation:

Range is talking about the y value of the coordinates. Choice 2 has all the y value in the function

6 0

3 years ago