answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nikklg [1K]
1 year ago
13

An internet cafe has a flat rate of ₱15. 00 for the first hour of playing, surfing and the like. An additional ₱5.00 is charge e

very hour incess afterwards. Contruct a mathematical model for the given situation.
Mathematics
1 answer:
dedylja [7]1 year ago
5 0

Answer:

y = 5x + 15

Step-by-step explanation:

your equation is:

y = mx + b

or:

cost = cost per hour + flat rate

y = 5x + 15

You might be interested in
the total reimbursement (in dollars) for driving a company car m miles can be modeled by the function f(x) = 0.45m +5. After a p
Luba_88 [7]

Answer:

The slope becomes 0.5625 and y intercept becomes 12.5.

$65.9375

Step-by-step explanation:

Given that

the total reimbursement function in terms of m miles:

f(x) = 0.45m +5

After the policy change, 5 more dollars are added and then total amount is multiplied by 1.25.

To find:

How to transform the graph of f.

Total reimbursement for a trip of 95 miles?

Solution:

f(x) = 0.45m +5 can also be written as:

y = 0.45m +5

It is nothing but slope intercept form, comparing with Y = M X+ C

M is the slope and C is the y intercept.

Slope of the graph is 0.45.

Y intercept is 5.

After change in the function, first of all add $5.

0.45m +  5+5 = 0.45m+10

Now, multiply with 1.25

Resulting function becomes:

f(x) =1.25\times (0.45m+10)\\\Rightarrow f(x) =0.5625m+12.5

Kindly refer to the attached image for the graph of the two functions.

Now, the slope becomes 0.5625 and y intercept becomes 12.5. This is the transformation.

To find the reimbursement for a trip of 95 miles:

Put m = 95

f(95) =0.5625\times 95+12.5 = \bold{\$65.9375 }

8 0
1 year ago
If leticia invested $12,000 in an account in which the interest earned is continuously compounded at a rate of %2.5 find the tot
Luda [366]

Given:

Principal value = $12000

Rate of interest = 2.5%

To find:

Total amount after 15 years.

Solution:

Formula for amount discontinuously compounded interest is

A=Pe^{rt}

where, P is principal, r is rate of interest and t is time in years.

Substitute P=12000, r=0.025 and t=15 in the above formula.

A=12000e^{0.025(15)}

A=12000e^{0.375}

A=12000(1.45499141462)

A=17459.8969754

A\approx 17459.897

Therefore, the amount after 15 years is $17459.897.

6 0
1 year ago
(BEST ANSWER GETS BRAINLIEST)(!!!!!!!!!!!!!!!!!!!!!!!!!!!
Ksenya-84 [330]
<span>The initial cost is $12,950.

Hope this was helpful!</span>
4 0
2 years ago
Read 2 more answers
Two coins are to be flipped. The first coin will land on heads with probability 0.6, the second with probability 0.7. Assume tha
IRINA_888 [86]

Step-by-step explanation:

P(X=1)  = P(first heads and second tails) +P(first tails and second heads)

            =P(first heads)×P(second tails)    +  P(first tails)  ×P(second heads)              

             because events are independent P(A∩B)  = P(A) ×P(B)

            = 0.6 ×0.3 + 0.4 ×0.7

            = 0.46

P(X=0)    = P(first tails and second tails)

               = 0.4  ×0.3

               =0.12

P(X=2)    =   P(first heads and second heads)

               = 0.6 ×0.7

               = 0.42

Mean   E(X)     =    0 ×0.12 + 1 × 0.46 + 2 ×0 0.42

                        =1.3            ( Because mean is ratio it can can be greater than 1 )

3 0
1 year ago
What is the value of x in the figure below? In this diagram, ΔABD ~ ΔCAD
tangare [24]
X/10 = 10 / 16
16x = 100
    x = 100/16
    x = 25/4

answer is F. 25/4

8 0
1 year ago
Read 2 more answers
Other questions:
  • Can the sum of two mixed numbers be equal to two
    6·1 answer
  • Jessica deposits $5,000 at the end of each year in an account earning 2.45% interest, compounded annually. What is the future va
    13·1 answer
  • Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving
    7·1 answer
  • 2x-10/4=3x<br> −10<br> −1<br> 2<br> 11
    14·1 answer
  • To make lemonade, you used one quart of water, one pint of lemon juice, and 9 ounces of your secret ingredient: honey. How much
    14·1 answer
  • A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using a
    13·1 answer
  • Eliza’s parents are installing an above ground swimming pool in their backyard. The pool is a right circular cylinder with a dia
    9·1 answer
  • En una cancha se va a pintar la circunferencia central que tiene un diámetro de 5 m .¿cual es la longitud de la circunferencia?
    5·1 answer
  • Which graph represents the function f (x) = StartFraction 3 x minus 2 Over x minus 2 EndFraction? On a coordinate plane, a hyper
    10·2 answers
  • The data represents the body mass index​ (BMI) values for 20 females. Construct a frequency distribution beginning with a lower
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!