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kakasveta [241]
2 years ago
9

Florida had a sales rate of 6 percent, and Gainesville has a sales tax of 1 percent. What is the total of the state sales tax an

d the city tax?
Mathematics
1 answer:
natka813 [3]2 years ago
6 0

I'm thinking 5.95% sorry if I'm wrong

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Math problem help me
Ratling [72]

Answer:

y=3x+2

Step-by-step explanation:

To find the equation, use the slope-intercept formula:

y=mx+b

m is the slope and b is the y-intercept. Now, it'll really help to draw a line through the points, connecting them. If you look at point (0,2), we can see that this is the y-intercept (where a point sits on the y-axis when x=0). You can insert this into the equation by taking the y value:

(0,2)\\y=mx+2

Now, take any two points to find the slope. To make it easier, I'll use (1,5) and (0,2). Use the slope formula for when you know two points:

\frac{y(2)-y(1)}{x(2)-(x1)} =\frac{rise}{run}

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

(1(x1),5(y1))\\(0(x2),2(y2))\\\\\frac{2-5}{0-1}

Solve:

\frac{2-5}{0-1}=\frac{-3}{-1}

Since both are negative, the result is a positive:

\frac{-3}{-1}=\frac{3}{1} =3

Insert this into the equation as m, the slope:

y=3x+2

Done.

6 0
2 years ago
There are 412 students and 20 teachers taking buses on a trip to a museum. Each bus can seat a maximum of 48. Which inequality g
-BARSIC- [3]

The inequality \mathrm{b} \geq \frac{\text { total number of travelers }}{\text { capacity of each bus }} gives the least number of buses, b, needed for the trip. The least number of buses is 9

<u>Solution:</u>

Given that, There are 412 students and 20 teachers taking buses on a trip to a museum.  

Each bus can seat a maximum of 48.  

We have to find which inequality gives the least number of buses, b, needed for the trip?

Now, there are 412 students and 20 teachers, so in total there are 412 + 20 = 432 travelers

<em><u>The number of buses required “b” is given as:</u></em>

\text { (b) } \geq \frac{\text { total number of travelers }}{\text { capacity of each bus }}

\text { So, number of buses required } \geq \frac{432}{48}

Number of buses required ≥  9 buses.

But least number will be 9 from the above inequality.

Hence, the inequality \mathrm{b} \geq \frac{\text {total number of travelers}}{\text {capacity of each bus}} gives least count of busses and least count is 9.

6 0
3 years ago
Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat
yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

P(t) = 0.8t^{2} + 6t + 19000

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

P(t) = 0.8t^{2} + 6t + 19000

0.8t^{2} + 6t + 19000 = 34200

0.8t^{2} + 6t - 15200 = 0

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

0.8t^{2} + 6t - 15200 = 0

So a = 0.8, b = 6, c = -15200

Then

\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356

t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14

t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0
2 years ago
3.11 unit test quadratic equations PLEASE SOLVE 25 POINTS BEING GIVEN. PLEASE DOT SCAM ME I NEED HELP
velikii [3]

Answer:

30.25 & 33.25

Step-by-step explanation:

x² + 11x + (5.5)² = 3+ (5.5)²

x² + 11x + 30.25 = 33.25

3 0
2 years ago
Calculate 8.93 x 104 times 4.2 x 106 by using scientific notation. Write answer in scientific notation. (round to the ten thousa
Andreas93 [3]
I think the answer is 4.13466144•10^5
5 0
2 years ago
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