where's the graph??
I can't answer this without the graph
Answer:
B) 25.82%
Explanation:
This equation will be in the form
,
where a is the initial value, x is the number of time periods and r is the annual rate of growth.
We know the initial value, a, is 0.12.
We know that x, the amount of time, is 2014-1969 = 45.
We know that y, the total value, is 3700.
This gives us the equation
Divide both sides by 0.12:
To find this, we must next take the 45th root. This is the same as raising to the power of 1/45:
Subtract 1 from each side:
1.2582-1 = 1+r-1
0.2582 = r
To convert this to a percent, multiply by 100:
0.2582(100) = 25.82%
The value of f(4) and 3[f(t)] if f(t) = 2t³ is 512 and 6t³ respectively.
<h3>What is polynomia?</h3>
To calculate the polynomial expression below, we use the technique below.
From the question,
Given:
- f(t) = 2t³.............. Equation 1
To find f(4) we substitute 4 as the value of x in equation 1
To find 3[f(t)] we multiply equation 1 by 3
Hence, the value of f(4) and 3[f(t)] if f(t) = 2t³ is 512 and 6t³ respectively.
Learn more about polynomials here:
#SPJ1
To start, first determine the slope of the line that is perpendicular to the equation y=2x. To find it, note that the slope of a line perpendicular to another is always the negative reciprocal (or the inverse, for example the reciprocal of 3 is 1/3) which would mean that the slope for the perpendicular line would be -1/2. Then, use the slope intercept form, y=mx+b to find your remaining missing values of the equation. Because the line passes through (0,1), you can plug into the x and y values, 0 and 1, respectively, and since you know the slope is -1/2, you can plug that into m. However, the only value you must find is b, which can be solved using your three known values. When you plug the values in, you will get this equation:
1=-1/2(0)+b
Then, when you simplify and solve for b, you should get b=1.
Now that you have your b and m value, you can finally write your perpendicular equation as y=-1/2x+1
<span>8a−4b=20 (1st)
5a−8b=62 (2nd)
multiply </span>8a−4b=20 (1st) by 2
16a −8b = 40 (1st)
5a −8b = 62 (2nd)
-------------------------subtract
11a = - 22
a = -2
<span>8a−4b=20
</span><span>8(-2) −4b=20
4b = -16 - 20
4b = -36
b = -9
answer
a = -2
b = -9</span>
