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Lostsunrise [7]

2 years ago

11

A company’s sales of garden tractors increased about 106% from 2007 to 2008. Th e number of tractors sold in 2007 was 347. How m

any tractors were sold in 2008?

1 answer:

Colt1911 [192]2 years ago

6 0

Answer: 367 tractors

Step-by-step explanation:

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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

PLEASE HELP! Given the following equation of an exponential function N= 40.25(1.0394)^t determine the base, b, of the exponentia

NeTakaya

The exponential equation in its generic form is:
y = A * (b) ^ t
Where,
A: initial amount
b: base (Growth rate for b> 1. Decrease rate for b <1.)
t: time.
We have then that the equation is:
N = 40.25 (1.0394) ^ t
The base is:
b = 1.0394> 1 (it is a growth rate)
Answer:
The base, b, of the exponential model is:
b = 1.0394
the base is a growth rate

5 0

2 years ago

I met this hella weird cryptic dude who interviewed me and gave me this puzzle. Solve it within 12 hours and ill let you know wh

Elena-2011 [213]

no cheating thanks <3

6 0

2 years ago

What is 6 divided by 612

kondaur [170]

612/6=102
check: 6x102=612

Hope this helped! :))

8 0

2 years ago

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The polynomial equation x cubed minus 4 x squared + 2 x + 10 = x squared minus 5 x minus 3 has complex roots 3 plus-or-minus 2 i

Tpy6a [65]

Answer: Answer is B, -1

Step-by-step explanation:

This is the correct answer according to Edge

This should be a five star btw sorry

7 0

2 years ago

Read 2 more answers