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Fofino [41]
3 years ago
15

A sub shop sells a meal that includes an Italian sub for $6 and chips for $2. If a customer purchases more than three meals, he

or she received a $5 discount. The expression 6m + 2m -5 shows the cost in dollars of the customers order from m meals, where m is greater than 3. Simplift the expression by combining like terms.
Mathematics
1 answer:
pashok25 [27]3 years ago
6 0
8m - 5 

When collecting like terms you are adding or subtracting 2 "things" that have the same variable (letter).
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Given the system of equations 4x+2y=8 and 5x-3y=4, what is the value of x
MArishka [77]
◆ LINEAR EQUATIONS IN TWO VARIABLES ◆


given \: the \: sytem \: of \: equation \:  -  \\  \\ 4x + 2y = 8 \:  \\ therefore   \\ \\ \: 2x + y = 4   \:  \:  \:  -  -  - eq(1)\\  \\ 5x - 3y = 4 \:  \:  \:  \:  -  -   - eq(2) \\  \\ multiplying \: eq(1) \:  \: by  \:  \:  - 3 \:   \\  \\ we \: get \:   -  \\  \\  - 6x - 3y =  - 12 \:  \:  \:  -  -  - eq(3) \\  \\ solving \: eq(2) \: and \: eq(3) \: simultaneously \\  \\ we \: get \:  -  \\  \\ 11x = 16 \\  \\ x =  \frac{16}{11}  \:  \:  \:  \:  \: ans.
8 0
4 years ago
The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

<u>a)</u><u> The preset value equation is given by this formula:</u>

P=\int^{T}_{0}f(t)e^{-rt}dt

where:

  • T is the period in years (T = 10 years)
  • r is the annual interest rate (r=0.08)

So we have:

P=\int^{T}_{0}(0.01t+100)e^{-rt}dt

Now we just need to solve this integral.

P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt

P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}

P=0.30+688.34=688.64 $

The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P

A=e^{0.08\cdot 10}688.64=1532.60 $

The accumulated amount is 1532.60 $

Have a nice day!

6 0
3 years ago
Can anyone help me? If f (x) = -2x +5, what is f (-3x) equal to?
LekaFEV [45]

Answer:

B

Step-by-step explanation:

Use the given functions to set up and simplify f(-3x)

substitute x with -3x

-2 (-3x) =6x    remember a - x - = +

6x +5

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3 years ago
Which of the following statements is true of a reflection?
zhuklara [117]
I think the correct answers from the choices listed above are the first and the fourth option. The statements that are true about a reflection would be that it  is an isometry and the it flips a plane about a fixed line. <span>A </span>reflection<span> over a line k (notation rk) is a transformation in which each point of the original figure (pre-image) has an image that is the same distance from line k.</span>
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Four friends went scuba diving today Ali dove 70 feet Tim went down 50 feet Carlton dove 65 feet and Brenda reach 48 feet below
ira [324]
By death i think you mean depth. So the lowest number should be the closest to the surface. From closest to farthest it is, Brenda, Tim, Carlton, then Ali. Hope this helps! ;)
8 0
3 years ago
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