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creativ13 [48]
3 years ago
7

Trevor tutors French for $15 and hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. How many hou

rs does Trevor need to tutor to make at least $180? a0 hours
Mathematics
1 answer:
VladimirAG [237]3 years ago
6 0
Total number of hours = 15
Let the hours spent tutoring french be x.
Therefore hours spent on scooping ice cream = (15 - x)
Amount:    Tutoring french is $15 an hour, total for x hours = 15x
For scooping ice cream  it is $10 an hour   10*(15 - x) = 150 - 10x 
To make more than $180
15x  + (150 - 10x)  > 180
15x + 150 - 10x > 180
15x - 10x > 180 - 150
5x > 30
x > 30/5
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Find the explicit formula for the sequence? -1,4,-16,64......
Ede4ka [16]

The explicit formula for given sequence is: a_n = -1 . (-4)^{n-1}

Step-by-step explanation:

Given sequence is:

-1,4,-16,64.....

We can see that there is no same difference between consecutive terms so we will find common ratio to see if it is a geometric sequence.

Here

a_1 = -1\\a_2 = 4\\a_3 = -16\\a_4 = 64\\r = \frac{a_2}{a_1} = \frac{4}{-1} = -4\\r = \frac{a_3}{a_2} = \frac{-16}{4} = -4

The explicit formula for geometric sequence is:

a_n = a_1r^{n-1}

Putting the values of r and a1

a_n = -1 . (-4)^{n-1}

Hence

The explicit formula for given sequence is: a_n = -1 . (-4)^{n-1}

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

  • brainly.com/question/4767370
  • brainly.com/question/4770453

#learnwithBrainly

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3 years ago
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5 0
3 years ago
Sue bought two pairs of jeans and a belt that costs $6.95 the tax on the items was $5.85 sue pay the cashier $70 how much money
yaroslaw [1]
<span>cost of two pair of jeans- $55
   cost of belt-$ 5.85
   tax- $5.85
       total bill- $67.8
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6 0
3 years ago
The equation F equals 9/5C + 32 relates temperature measured in degrees Celsius, C, to degrees F, Fahrenheit. Determine whether
muminat

Answer: There is none.

Step-by-step explanation:

There is no proportional relationship between Celsius and Fahrenheit because for a proportional relationship to exist, the two variables need to have an equivalent ratio between them which would ensure that their values vary constantly when they are either divided or multiplied.

In other words, only the arithmetic operations of multiplication and division should be present. In the above there is an additive operation which renders the two variables being Fahrenheit and Celsius, non-proportional.

6 0
2 years ago
Why does (x-2)^2+9=0 have no real solutions?
alex41 [277]

Answer:

see explanation

Step-by-step explanation:

Given

(x - 2)² + 9 = 0 ( subtract 9 from both sides )

(x - 2)² = - 9  ( take the square root of both sides )

x - 2 = ± \sqrt{-9}

\sqrt{-9} yields no real solutions

There is no real number when multiplied by itself gives - 9

In fact the solutions to \sqrt{-9} are said to be imaginary, that is ± 3i

where i = \sqrt{-1}

If interested investigate further.

7 0
3 years ago
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