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EastWind [94]
3 years ago
12

Joshua currently earns $5000 a year from his lawn care business. He has two plans to increase his revenue. Plan 1 would increase

his yearly revenue by 20%. Plan 2 would increase his revenue by $1500 a year. Which plan models an exponential function
Mathematics
1 answer:
natita [175]3 years ago
7 0

Answer:

Plan 2

Step-by-step explanation:

20% would only increase his yearly revenue by 1000 dollars a year, while Plan 2 increases it by 1500 a year! hope this helped!

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The areas of the two watch faces have a ratio of 16:25 What is the ratio of the radius of the smaller watch face to the radius o
Leona [35]

Answer:

The ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

Step-by-step explanation:

Let the Area of smaller watch face be A_1

Also Let the Area of Larger watch face be A_2

Also Let the radius of smaller watch face be r_1

Also Let the radius of Larger watch face be r_2

Now given:

\frac{A_1}{A_2} =\frac{16}{25}

We need to find the ratio of the radius of the smaller watch face to the radius of the larger watch face.

Solution:

Since the watch face is in circular form.

Then we can say that;

Area of the circle is equal 'π' times square of the radius 'r'.

framing in equation form we get;

A_1 = \pi {r_1}^2

A_2 = \pi {r_2}^2

So we get;

\frac{A_1}{A_2}= \frac{\pi {r_1}^2}{\pi {r_2}^2}

Substituting the value we get;

\frac{16}{25}= \frac{\pi {r_1}^2}{\pi {r_2}^2}

Now 'π' from numerator and denominator gets cancelled.

\frac{16}{25}= \frac{{r_1}^2}{{r_2}^2}

Now Taking square roots on both side we get;

\sqrt{\frac{16}{25}}= \sqrt{\frac{{r_1}^2}{{r_2}^2}}\\\\\frac{4}{5}= \frac{r_1}{r_2}

Hence the ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

7 0
3 years ago
The math team does practice drill that each last 1/6hour in November the team did practice drills for a total of 24hrs how many
never [62]

Answer:

I think 144

Step-by-step explanation:

there is 1440 minuets in an hour 1 6th of an hour is 10 minuets if you divide 10 by 1440 its 144

7 0
3 years ago
Find the surface area of the cylinder in terms of pi
tia_tia [17]

Answer:

<u>A≈301.44</u>

Step-by-step explanation:

The area of a cylinder is A=2πrh+2πr^2

You first do the first problem of the equation (A=2πrh)

You fill in the radius and height ( A=2π(4)(8) )

You first multiply 4 x 8 = 32. ( A=2π(32) )

Then you multiply 2 x 32 = 64. ( A=π(64) )

Then you multiply π x 64 (using 3.14 for π) = 200.96 m^2

You then do the second part of the equation. (A=2πr^2)

You fill in the radius. (A=2π(4)^2)

Then multiply 4 x 4 = 16 (because it's to the power of 2 [4 times itself twice]) and then multiply it by 2.

16 x 2 = 32. ( A=π(32) )

Next you just multiply 32 x π (using 3.14 for π again) = 100.48 m^2.

Then you just add them together:

200.96 m^2 + 100.48 m^2 = 301.44 m^2

So <u>301.44 m^2</u> is your answer.

(I hopefully think it is.)

5 0
2 years ago
Read 2 more answers
5 less than a product of 4 and a number is equal to 6
DIA [1.3K]

Answer:

4x-5=6 is the equation.

Step-by-step explanation:

What you do is look at the product part. That means multiplying.

Less than means subtraction.

Equals to means equals of course so the equation is

4x-5=6.

3 0
3 years ago
Read 2 more answers
If you work make 15 an hour for 8 hour shift how much is that
tangare [24]

Answer:

120

Step-by-step explanation:

15*8=120

5 0
2 years ago
Read 2 more answers
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