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IgorC [24]
3 years ago
5

Which graph represents the function on the interval [-3,3] F(x)=[x]-2

Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0
<h2>Answer:</h2>

Shown below

<h2>Step-by-step explanation:</h2>

The most famous of the step functions is the greatest integer function, which is denoted by the parent function [x].

So, this function is defined as:

f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x.

These are the characteristics of this function:

  • The domain of the function is the set of all real numbers.
  • The range of the function is the set of all integers.
  • The graph has a y-intercept at (0,0) and x-intercept in the interval [0,1)
  • The graph is constant between each pair of consecutive integers.
  • The graph jumps vertically one unit at each integer value.

The function F(x)=[x]-2 represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.

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Answer:

  $189.32

Step-by-step explanation:

Add all of the numbers shown to the beginning balance to find the ending balance.

  $92.19 -39.35 +49.76 +87.35 +9.97 -10.60 = $189.32

Tristan's balance at the end of the month was $189.32.

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There should be no confusion. Money deposited into the account increases the balance by the amount deposited.

Money spent from the account decreases the balance by the amount spent.

Here, amounts deposited are given a plus sign (+); amounts spent are given a minus sign (-).

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<em>Additional comment</em>

It can be tedious to enter these numbers correctly into a calculator. Many folks prefer a calculator that provides a "tape", a record of the amounts and operations the calculator uses in the computation. Alternatively, you can put the numbers in a spreadsheet and use the SUM function to do the addition for you. That, too, makes it easy to check that numbers have been entered correctly.

The attachment shows the calculation done in a spreadsheet.

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3 years ago
Ryder Industries is considering a project that will produce cash inflows of $92,000 a year for five years. What is the internal
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Answer:

20.02%

Step-by-step explanation:

Formula : NVP = 0 =-P_0 + \frac{P_1}{(1+IRR)} + \frac{P_2}{(1+IRR)^2} + . . . +\frac{P_n}{(1+IRR)^n}

P_0 = 275000

n = 1,2,3,4,5

Substitute the values in the formula :

0 =-275000 + \frac{92000}{(1+IRR)} + \frac{92000}{(1+IRR)^2} + \frac{92000}{(1+IRR)^3}+\frac{92000}{(1+IRR)^4}+\frac{92000}{(1+IRR)^5}

275000 = \frac{92000}{(1+IRR)} + \frac{92000}{(1+IRR)^2} + \frac{92000}{(1+IRR)^3}+\frac{92000}{(1+IRR)^4}+\frac{92000}{(1+IRR)^5}

Solving for IRR using calculator

IRR = 20.02

Hence the internal rate of return if the initial cost of the project is $275,000 is 20.02%

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