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Andrei [34K]
3 years ago
5

At the mall Greg purchased three CDs which cost $10.68 each if Greg has $79 in his wallet before the purchase how much money is

left in his wallet
Mathematics
2 answers:
Ahat [919]3 years ago
5 0

Answer:

$46.96

Step-by-step explanation:

10.68 * 3 = 32.04

79 - 32.04 = 46.96

Harlamova29_29 [7]3 years ago
4 0

Answer:

46.96 is left in his wallet

Step-by-step explanation:

10.68 x 3 = 32.04

79.00-32.04 =46.96

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Which system of inequalities is represented by the graph?
timofeeve [1]

Answer:

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4 " is represented by the graph ⇒ D

Step-by-step explanation:

To find the answer let us find the equation of each line

Blue line:

∵ The line passes through points (5 , 0) and (0 , 2.5)

- Find the slope of the line

∵ m = Δy/Δx

∴ \frac{0-2.5}{5-0}=\frac{-2.5}{5}

∴ m = -0.5

- The form of the equation is y = m x  + b, where b is the

   y-intercept (value y at x = 0)

∵ y = 2.5 at x = 0

∴ b = 2.5

- Write the equation of the line

∴ y = - 0.5 x + 2.5

- Multiply both sides by 2

∴ The equation of the blue line is 2 y = - x + 5

- The shading is under the line and the line is solid, that means

  2 y is less than or equal - x + 5

∴ The inequality of the blue line is 2 y ≤ - x + 5

Red line:

∵ The line passes through points (3 , -5) and (0 , 4)

- Find the slope of the line

∴ m=\frac{-5-4}{3-0}=\frac{-9}{3}

∴ m = -3

∵ y = 4 at x = 0

∴ b = 4

- Write the equation of the line

∴ y =  -3 x + 4

∴ The equation of the red line is y = -3 x + 4

- The shading is below the line and the line is solid, that means

  y is less than or equal -3 x + 4

∴ The inequality of the red line is y ≤ -3 x + 4

Let us find which answer is the same with this system of inequalities

∵ 2 y ≤ - x + 5

- Add x to both sides

∴ x + 2 y ≤ 5 ⇒ same as the first inequality of answer D

∵ y ≤ -3 x + 4

- Add 3 x to both sides

∴ 3 x + y ≤ 4 ⇒ same as the second inequality of answer D

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4" is represented by the graph

4 0
3 years ago
What is the multiplicative rate of change for the exponential function graphed to the left?
garik1379 [7]

Hence, the function increases at a constant multiplicative rate..

<h2>What is a function?</h2>

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

<h3>How to solve?</h3>

We know,

the answer is (B) the function increases at a constant multiplicative rate.

to learn more about functions: brainly.com/question/25638609

#SPJ2

6 0
1 year ago
Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to
prohojiy [21]

Answer:

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

A =P e^{rt}

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means A= 300000 and we want to find the value for t.

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

5 0
3 years ago
When is buying a house better than renting?
Anastasy [175]
Well its better ig both ways. If u buy a house then its all ur expectations and all ur money on it. If u rent a house, then if anything u break u can give it to the owner and then they have to pay for it since it is their house.
6 0
3 years ago
When looking for a job, Micah is told that the monthly salary has a range of $876. He also knows that the starting salary is $1,
blondinia [14]
This statement describes a range of Micah's salary.

The range is a number that describes the distance from the beginning of something to the end of something.

In this scenario the beginning would be the beginning salary, in the end salary would be where you stop at end at after adding $876.

$1793(starting) + $876 = $2669

The maximum amount of money that Micah could earn would be $2669.
8 0
3 years ago
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