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Brilliant_brown [7]
3 years ago
15

Carmen runs a video to DVD transfer business. She charges her customers $20.40 for each video transferred. Her expenses include

$1,250.00 for the equipment and $2.45 for each blank DVD. Which of these equations could Carmen use to calculate her profit, p, for the transfer of n videos?
A. p = $17.95n - $1,250.00

B. p = $1,250.00 - $17.95n

C. p = $20.40n - $1,247.55

D. p = $22.85n + $1,250.00
Mathematics
1 answer:
vovangra [49]3 years ago
6 0

Answer:

A. p = $17.95n - $1,250.00

Step-by-step explanation:

Profit (p) = net revenue - expenditure

Net revenue = charge for transfer of n videos - expense for n blank DVD

charge per video transfer = $20.40

charge for n video transfer = $20.40 × n = $20.40n

expense per blank DVD = $2.45

expense for n blank DVD = $2.45 × n = $2.45n

Net revenue = $20.40n - $2.45n = $17.95n

expenditure = $1,250.00

Therefore, p = $17.95n - $1,250.00

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julia-pushkina [17]

Answer:

The value of t is 1.75 years.

Step-by-step explanation:

Given that simple interest formula is I = (P×R×T)/100. So you have to substitute the following values into the formula :

i =  \frac{prt}{100}

let \: i = 350,p = 2400,r =  \frac{25}{3}

350 =  \frac{2400 \times  \frac{25}{3} \times t }{100}

350 =  \frac{20000t}{100}

350 \times 100 = 20000t

20000t = 35000

t = 35000 \div 20000

t = 35 \div 20

t = 1.75 \: years

8 0
4 years ago
In 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%. The 1987 population
KATRIN_1 [288]

Answer:

Step-by-step explanation:

Given that in 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%

Thus the equation for population for country A would be

P(A) = 87e^{0.035t}

The 1987 population of country B was estimated at 243 million with an annual growth rate of 0.6%.

So equation for population for country B would be

P(B) = 243e^{0.006t} where t = time in years and P in millions

a) P(A) = 2*87 when

2=e^{0.035t}

Take log and solve

ln 2 = 0.005 t

t = 138.63

Thus after 138 years population will double for A

b) P(A) = P(B) when

P(A) = 87e^{0.035t}=P(B) = 243e^{0.006t}\\e^{0.035t-0.006t}=\frac{243}{87} =2.793\\0.029t = 1.027\\t= 35.42

Approximately after 35.5 years the populations of both countries would be equal.

7 0
3 years ago
Read 2 more answers
Find the volume of the cone 4 in and 6 in
Nataly_w [17]

Answer:

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Step-by-step explanation:

V=pi x radius squared x h over 3

7 0
3 years ago
What is the length of an arc given that the measure of the central angle is 30 degree and the radius is 7 cm?
pogonyaev

La longitud del arco (s) en una circunferencia, conociendo el radio (r) y el ángulo (θ) que forman los dos radios, es:

s = r∙θ

Con el ángulo en radianes

F V7 w7 :

4 0
4 years ago
I asked more than 10 times Still no steps to a solution
Alisiya [41]

Answer:

C 200

Step-by-step explanation:

It does not appear to be LINEAR so

Start with :

pulse rate = y = 73e^kx  

sub in x = .7      when y = 155

155 = 73 e^(.7 * k)

ln ( 155/73)  =  .7k

.75296567  = .7k

     k = 1.07567

for x = 0.9 :

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8 0
2 years ago
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