<span>width = 90 tan43 degrees = about 84 feet </span>
<u>Answer:</u>
There are two approaches to solving the equation -3x + 10 = 4x - 20. The value of x after solving in both methods is 4.2857.
<u>Solution:</u>
Given, equation is -3x + 10 = 4x – 20.
We have to solve the given equation in two methods, now let us see the first method.
<u><em>1st method ⇒ by subtracting 4x from both sides.</em></u>
Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 – 4x = 4x – 20 – 4x ⇒ -3x – 4x = -20 – 10 ⇒ -7x = -30 ⇒ 7x = 30
Then, x = 
Now, let us use the 2nd method.
<em><u>2nd method ⇒ by adding 3x on both sides.</u></em>
Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 + 3x = 4x – 20 + 3x
⇒ 10 + 20 = 4x + 3x
⇒ 7x = 30
⇒ x = 
Hence, the value of x after solving in both methods is
= 4.2857.
The cube root values and a graph of them are shown in the attachment.
_____
The cube root of a negative number is negative. These all have exact (rational) cube roots.
Answer:
Answer is 0.25 to 0.5
Step-by-step explanation:
Let the linear function be 
and exponential function be 
x 0.25 0.5 0.75 1.0 1.25 1.5
y 0.25 0.5 0.75 1.0 1.25 1.5
Diff 0.25 0.25 0.25 0.25 0.25
e^x 1.29 1.65 2.12 2.72 3.49 4.48
Diff 0.36 0.47 0.60 0.77 0.99
Hence 0.36 to be nearer to 0.25, than other intervals
So answer is 0.25 to 0.5
Answer:
Step-by-step explanation:
From the question, we can form an equation like: S = 7200 + 350X
where S is the salary and X is year.
1. His salary in the 9th year, means X=9, so we substitute 9 into the equation to find S = 7200 +350 (9) = 10350
2. The total he will have in the first 12years, we have:
Sum of first n terms of an <em><u>AP: S =(n/2)[2a + (n- 1)d]</u></em> where a is the value of the 1st term, here a is 7200 and d = 350 the common difference between terms
=> S = (12/2)[2*7200 + (12- 1)350] = 109500