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 many tractors were sold in 2008?

Answers

Answer 1

Answer:

Answer:

715 garden tractors.

Step-by-step explanation:

We have been given that a company’s sales of garden tractors increased about 106% from 2007 to 2008. The number of tractors sold in 2007 was 347.

So the number of tractors sold during 2008 will be 347 plus 106% of 347.

$\text{Number of tractors sold during 2008}=\text{Number of tractors sold in year 2007+ Increase in number of tractors in 2008}$

$\text{Number of tractors sold during 2008}=347+((106)/(100)* 347)$

$\text{Number of tractors sold during 2008}=347+(1.06* 347)$

$\text{Number of tractors sold during 2008}=347+367.82$

$\text{Number of tractors sold during 2008}=714.82\approx 715$

Therefore, 715 garden tractors were sold in 2008.

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Find the quotient. Write your answer in simplest form.

1/3 ÷ 6= 1/18?

Answers

If you would like to solve 1/3 / 6, you can do this using the following steps:

1/3 / 6 = 1/3 / 6/1 = 1/3 * 1/6 = 1/18

The correct result would be 1/18.

Answer:

1/18

Step-by-step explanation:

Write an equation for the vertical translation.

y=3/7x :18 units up

Answers

y=3/7x for a vertical translation of y=3/7x+18

Please help there’s a picture
60°
60
Y=?

Answers

Answer:

Pretty sure it's 90 degrees

Step-by-step explanation:

Is 90
I hoped it helps

Graph the equation. Identify the vertex and the axis of symmetry.y=-3x^2-6

Select one:
a. Vertex: (0, 6)
Axis of symmetry: x = 0

b. Vertex: (6,0)
Axis of symmetry: x = 6

c. Vertex: (0, -6)Axis of symmetry: x = 0
d. Vertex: (-6, 0)
Axis of symmetry: x = -6

Answers

I think B is the answer

Given the sequence 5; 12 ; 21; 32; .... a determine the formular for the nth term of thw sequance . 2 determine between which two consecutive terms in the sequance the difference will equal 245 sketch the graph to represent the second difference

Answers

The nthterm for the sequence is 4n + n².

The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.

What is a sequence?

A sequence is a group of numbers where there is a relation between each consecutive value.

We have,

5, 12, 21, 32,

We see that,

The difference between the consecutive numbers is 7, 9, 11, 13, 15,

We can make a formula for the nth term.

4n + n²

Where n = 1, 2, 3, 4, ,,,,

Now,

Let the two consecutiveterms be n and (n +1).

4(n + 1) + (n + 1)² - 4n - n² = 245

4n + 4 + n² + 2n + 1 - 4n - n² = 245

4 + 2n + 1 = 245

2n + 5 = 245

2n = 240

n = 120

And,

n + 1 = 121

So,

The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.

Thus,

The nthterm for the sequence is 4n + n².

The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.

Learn more about sequence here:

brainly.com/question/10396151

#SPJ6

First difference
12-5 = 7
21-12 = 9
32-21 = 11

Second difference
9-11 = 2
11-9 = 2

second difference is constant so it could defined by quadratic formula,
u(x) = ax^2 + bx + c
because 2a = Second difference = 2
so a = 1
then u(x) = x^2 + bx + c

build equations from known values to find b and c
for x=1, u(1) = 5 = 1^2 + b(1) + c
b + c = 4 ...(1)

x=2, u(2) = 12 = 2^2 + b(2) + c
2b + c = 8 ... (2)

solve b = 4, c =0
so u(x) = x^2 + 4x ... formula for n term (i use x not n here)

difference between consecutive term is 245, we have
245 = u(x+1) - u(x)
245 = (x+1)^2 + 4(x+1) - (x^2 + 4x)
245 = x^2 + 2x + 1 + 4x + 4 - x^2 - 4x
245 = 2x + 5
x = 120
it's between term 120 and 121

graph is y=2

A jar contains 30 red marbles. 59 blue marbles. And 20 white marbles. You choose one marble from the jar at random. What is the theoretical probability of choosing a blue marble? A)20%
B)30%
C)50%
D)80%