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Novay_Z [31]
3 years ago
5

Emma is an artist and has created seven paintings. She plans to paint three additional paintings each week. What statements are

true of this scenario? Check all that apply.
Mathematics
2 answers:
Stella [2.4K]3 years ago
4 0

The dependent variable is the total number of paintings.

The total number of paintings depends on the number of weeks that have passed.

This scenario is a function because for each week that passes, there will be exactly one total number of paintings.

Katena32 [7]3 years ago
3 0
The dependent variable is the total number of paintings.

The total number of paintings depends on the number of weeks that have passed.

<span>This scenario is a function because for each week that passes, there will be exactly one total number of paintings.</span>
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Problem 10-01 NPV A project has an initial cost of $66,950, expected net cash inflows of $14,000 per year for 9 years, and a cos
svlad2 [7]

Answer:

NPV = $13,676.33

Step-by-step explanation:

First, find the present value of the cash inflows. You can solve this question using a Financial calculator;

14,000 per year is a recurring cashflow hence the PMT

PMT = 14,000

I/Y = 10%

N= 9

FV =0

then CPT PV = 80,626.33

NPV = -Initial investment + PV of future cash inflows

NPV = -66,950 + 80,626.33

NPV = $13,676.33

"NPV" button, then , then "CPT".

The answer to the NPV = $13,676.33

5 0
3 years ago
HELP! 50 POINTS, PLUS 25+ IF YOUR ANSWER IS THE BEST!
stich3 [128]

Answer:

Step-by-step explanation:

1. rotation 90 degrees clockwise

2.reflection over y axis

3.rotation 180

4.reflection over x axis

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7 0
3 years ago
1.) Which domain restrictions apply to the rational expression? 14x-2x / x^2-7x
mezya [45]

Answer:

3. \displaystyle 1\frac{1}{3} = x

2<em>C.</em> \displaystyle III.

2<em>B.</em> \displaystyle I.

2<em>A.</em> \displaystyle II.

1. \displaystyle Set-Builder\:Notation: [x|7, 0 ≠ x] \\ Interval\:Notation: (-∞, 0) ∪ (0, 7) ∪ (7, ∞)

Step-by-step explanation:

3. <em>See</em><em> </em><em>above</em>.

2<em>C</em>. The keyword is ratio, which signifies division, so you would choose "III.".

2<em>B</em>. The keyword is percent, which signifies multiplication of a ratio by 100, so you would choose "I.".

2<em>A</em>. The keyword is total, which signifies addition, so you would choose "II.".

1. Base this off of the denominator. Knowing that the denominator CANNOT be zero, you will get this:

\displaystyle x^2 - 7x \\ x[x - 7] = 0; 7, 0 = x \\ \\ Set-Builder\:Notation: [x|7, 0 ≠ x] \\ Interval\:Notation: (-∞, 0) ∪ (0, 7) ∪ (7, ∞)

I am joyous to assist you anytime.

5 0
3 years ago
At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 20 km/h. How fast is
garik1379 [7]
Check the picture below.

now, keep in mind that ship B is going at 20kph, thus from noon to 4pm, is 4 hours, so it has travelled by then 20 * 4 or 80 kilometers, thus b = 80.

whilst the ship B is moving north, the distance "a" is not really changing, and thus is a constant, that matters because the derivative of a constant is 0.

\bf c^2=a^2+b^2\implies \stackrel{chain~rule}{2c\cfrac{dc}{dt}}=0+2b\cfrac{db}{dt}\implies \cfrac{dc}{dt}=\cfrac{b\frac{db}{dt}}{c}&#10;\\\\\\&#10;\begin{cases}&#10;\frac{db}{dt}=20\\&#10;c=10\sqrt{353}\\&#10;b=80&#10;\end{cases}\implies \cfrac{dc}{dt}=\cfrac{80\cdot 20}{10\sqrt{353}}\implies \cfrac{dc}{dt}=\cfrac{160}{\sqrt{353}}&#10;\\\\\\&#10;\textit{and rationalizing the denominator}\implies \cfrac{160\sqrt{353}}{353}

8 0
3 years ago
Jane and her husband deposited $500 in an account on their wedding day and each subsequent anniversary. The money was deposited
zysi [14]
Total = 500 * ([(1 + .07)^26 -1] / .07) -500
Total = 500 * (<span><span>4.8073529249 </span> / .07) -500
</span>Total = 500 * (<span>68.6764703562) -500
</span>Total = <span> <span> <span> 33,838.24
</span></span>
Source:
http://www.1728.org/annuity.htm

</span>

3 0
3 years ago
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