1answer.
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
bogdanovich [222]
2 years ago
6

A retail clothing store offers customers an opportunity to open up a credit card during checkout. One location of the retail clo

thing store states that the number of credit cards, A, that are opened t months since January can be modeled by the function A(t) = 20 + 4t. The number of credit cards opened at another location, B, is defined by the function B(t) = 25 − t. What is an expression that can be used to determine the total amount of credit cards opened at the two locations?
Mathematics
1 answer:
svetoff [14.1K]2 years ago
3 0

A function assigns the value of each element of one set to the other specific element of another set. The total amount of credit cards opened at the two locations is given as 45+3t.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given that the number of credit cards, A, that is opened t months since January can be modeled by the function A(t) = 20 + 4t, while the number of credit cards opened at another location, B, is defined by the function B(t)=25−t.

Now, the total number of credit cards that are opened at both the location together will be,

Total number of credit cards = A(t) + B(t)

                                                = 20 + 4t + 25 - t

                                                = 20 + 25 + 4t - t

                                                = 45 + 3t

Hence, the total amount of credit cards opened at the two locations is given as 45+3t.

Learn more about Function here:

brainly.com/question/5245372

#SPJ1

You might be interested in
an inverted conical water tank with a height of 20 ft and a radius of 8 ft is drained through a hole in the vertex (bottom) at a
viktelen [127]

Answer:

the rate of change of the water depth when the water depth is 10 ft is;  \mathbf{\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi} \  \ ft/s}

Step-by-step explanation:

Given that:

the inverted conical water tank with a height of 20 ft and a radius of 8 ft  is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec.

We are meant to find the  rate of change of the water depth when the water depth is 10 ft.

The diagrammatic expression below clearly interprets the question.

From the image below, assuming h = the depth of the tank at  a time t and r = radius of the cone shaped at a time t

Then the similar triangles  ΔOCD and ΔOAB is as follows:

\dfrac{h}{r}= \dfrac{20}{8}    ( similar triangle property)

\dfrac{h}{r}= \dfrac{5}{2}

\dfrac{h}{r}= 2.5

h = 2.5r

r = \dfrac{h}{2.5}

The volume of the water in the tank is represented by the equation:

V = \dfrac{1}{3} \pi r^2 h

V = \dfrac{1}{3} \pi (\dfrac{h^2}{6.25}) h

V = \dfrac{1}{18.75} \pi \ h^3

The rate of change of the water depth  is :

\dfrac{dv}{dt}= \dfrac{\pi r^2}{6.25}\  \dfrac{dh}{dt}

Since the water is drained  through a hole in the vertex (bottom) at a rate of 4 ft^3/sec

Then,

\dfrac{dv}{dt}= - 4  \ ft^3/sec

Therefore,

-4 = \dfrac{\pi r^2}{6.25}\  \dfrac{dh}{dt}

the rate of change of the water at depth h = 10 ft is:

-4 = \dfrac{ 100 \ \pi }{6.25}\  \dfrac{dh}{dt}

100 \pi \dfrac{dh}{dt}  = -4 \times 6.25

100  \pi \dfrac{dh}{dt}  = -25

\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi}

Thus, the rate of change of the water depth when the water depth is 10 ft is;  \mathtt{\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi} \  \ ft/s}

4 0
3 years ago
Mrs. Mobley can jog 3 miles in 27 minutes. How many miles can she jog in 81 minutes?
zalisa [80]

Answer:

9 miles

Step-by-step explanation:

You need to get 27 minutes to 81 minutes so you multiply 27 by 3, and that is 81, so you simply multiply 3 by 3 and get 9! Hope this helps! ;)

(27 x 3) = 81

(3 x3) = 9

3 0
3 years ago
We can use division to solve real-life problems, such as: We can use division to solve real-life problems, such as:
Komok [63]

Answer:

we can use division to solve real life problem such as: how much candy each of 5 students will receive if 20 candy are shared equally

Step-by-step explanation:

cause 20/5 = 4

7 0
2 years ago
-[8x+(6x+8)=8-(3x+7)
Bas_tet [7]

Answer:

the answer should be x=  -9 over 11

Step-by-step explanation:

8 0
3 years ago
A video company charges a yearly membership fee plus a daily rental charge for a movie. The cost c, if renting a movie for a cer
elena-14-01-66 [18.8K]

Answer:

answer A

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Suppose Team A has a 0.75 probability to win their next game and Team B has a 0.85 probability to win their next game. Assume th
    5·1 answer
  • What is The least common multiple of two numbers I have no common factors greater than 1?GIVE AN EXAMPLE
    11·1 answer
  • 3 square root of 721
    7·1 answer
  • What's the answer???? Help
    9·2 answers
  • Solve 0.9(x-20)=830
    9·1 answer
  • I organized an ocean cleanup and we collected a total of 25 pounds of garbage 16 pounds of the garbage consisted of plastic what
    6·2 answers
  • Which function is a quadratic function?
    13·1 answer
  • Please help, i need the answers. will give brainliest
    5·1 answer
  • PLEASE HELP WILL GIVE BRANLIEST IF CORRECT
    10·1 answer
  • Estimating percents 19% of 72<br><br> Pleas explain how because I don’t understand this
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!