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Vesna [10]
2 years ago
9

A quantity with an initial value of 8100 decays continuously at a rate of 0.95% per year. What is the value of the quantity afte

r 96 months, to the nearest hundredth?
Mathematics
2 answers:
aliina [53]2 years ago
7 0

Answer:

7507.21

Step-by-step explanation:

mafiozo [28]2 years ago
6 0

Answer:

20163.299

Step-by-step explanation:

Initial value = 8100

Rate r = 0.95% = 0.0095

t = 96 month

Therefore, Value of the quantity after 39 decades = Initial value*e^(rt)

= 8100*e^(0.0095*96)

= 8100*e^(0.912)

= 8100*2.48929615041

= 20163.298818321

= 20163.299

So, the value of the quantity after 96 months is 20163.299

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Q: A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte.
DiKsa [7]

The linear equation which can be used to determine a user's monthly

bill is c = 60 + 0.05 d ⇒ D

Step-by-step explanation:

The given is:

  • A cell phone company charges $60.00 a month for up to 1 gigabyte of data
  • The cost of additional data is $0.05 per megabyte
  • d represents the number of additional megabytes used
  • c represents the total charges at the end of the month

We need to find which equation can be used to determine a user's monthly bill

The form of the linear equation is y = mx + b, where b is the constant amount and m is the rate of change

∵ The company charges $60.00 a month for up to 1 gigabyte of data

- That means it is a constant amount each month

∴ b = 60

∵ The cost of additional data is $0.05 per megabyte

- That means it depends on the number of additional megabyte,

   so it is not constant, it is the rate of change

∴ m = 0.05

∵ d represents the number of additional megabytes

∴ x = d

∵ c represents the total charges at the end of the month

∴ y = c

Substitute y by c, m by 0.05, x by d and b by 60 in the form of the linear equation above

∴ c = 0.05 d + 60

- We can rearrange the terms of the right hand side

∴ c = 60 + 0.05 d

The linear equation which can be used to determine a user's monthly

bill is c = 60 + 0.05 d

Learn more:

You can learn more about linear function in brainly.com/question/9801816

#LearnwithBrainly

7 0
3 years ago
What are the zeros of f(x) = x2 - 8x+16?
Stels [109]

Answer:

x=4

Step-by-step explanation:

f(x) = x^2 - 8x+16

Set equal to zero

0 = x^2 -8x +16

Factor

what 2 numbers multiply to 16 and add to -8

-4*-4 = 16

-4+-4 = -8

0= (x-4)(x-4)

Using the zero product property

x-4 = 0  x-4 =0

x=4  x=4

3 0
3 years ago
chef leo will use a total of 6 1/4 cups of sugar to make 3 chocolate cakes. if each cake recipe requires the same amount of suga
Feliz [49]

a. because to divide 6 1/4 and 3 you need to make the improper fraction a mixed number so the equation is 25/4  /  3/1  then you get the recipricol of 3 witch is 1/3 then you multiply 1/3 x 25/4  whitch is 25/12=2 1/12

7 0
3 years ago
4x + 5y = 10
Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

ax+by = c

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16

"In order for a system of equations to have infinity many solutions,

\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} "

Putting the values we get

\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

5 0
2 years ago
Can u help me on this?
a_sh-v [17]

Answer:

B

Step-by-step explanation:

70-20=50

i don't sure correct or not

7 0
3 years ago
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