Answer:
- <u>He should graph the functions f(x) = 4x and g(x) = 26 in the same coordinate plane. The x-coordinate of the intersection point of the two graphs is the solution of the equation.</u>
Explanation:
<em>To solve the equation 4x = 26</em> using graphs, he should graph two functions in the same coordinate plane. The intersection of the two graphs is the solution of the equation.
The functions to graph are f(x) = 4x, and g(x) = 26.
The graph of f(x) = 4x is a line that goes through the origin (0,0) and has slope 4.
Some of the points to graph that line are:
<u>x f(x) = 4x </u>
0 4(0) = 0 → (0,0)
2 4(2) = 8 → (2,8)
4 4(4) = 16 → (4,16)
6 4(6) = 24 → (4, 24)
With those points you can do an excellent graph of f(x) = 4x
The graph of g(x) = 26 is horizontal line (parallel to the y-axis) that passes through the point (0, 26), which is the y -intercept.
You have to extend both graphs until they intersect each other. The x-coordinate of the intersection point is the solution of the function.
Hi there
The formula of compound interest is
A=p (1+r/k)^kn
A future value?
P present value 12300
R interest rate 0.052
K compounded quarterly 4
N time 1 year
So
A=12,300×(1+0.052÷4)^(4×1)
A=12,952.18
Good luck!
Step-by-step explanation:
in this problem, we are solving for the amount of apple that Paloma eats
1. she ate 2/8 of a complete apple -hence the will be a remainder, we will find
that remainder
2. she also ate 3/8 of the remainder for lunch
3. we then proceed to calculate all apple she ate in total

2 she ate 3/8 of the remaining 3/4 apple

3. in total she ate 1/4+ 9/32

Answer:
B. 0.835
Step-by-step explanation:
We can use the z-scores and the standard normal distribution to calculate this probability.
We have a normal distribution for the portfolio return, with mean 13.2 and standard deviation 18.9.
We have to calculate the probability that the portfolio's return in any given year is between -43.5 and 32.1.
Then, the z-scores for X=-43.5 and 32.1 are:

Then, the probability that the portfolio's return in any given year is between -43.5 and 32.1 is:

Answer:
8
Step-by-step explanation:
0
4
6
8
13
15
18
22
26
31
1
4
6
9
13
15
19
23
26
32
1
4
6
9
14
16
19
23
27
33
2
5
7
9
14
16
20
23
28
33
2
5
7
10
14
16
20
23
28
33
2
5
7
10
14
16
20
23
28
34
3
5
7
10
15
17
20
24
29
34
3
5
8
11
15
17
20
24
30
34
3
5
8
13
15
18
21
26
30
36
4
5
8
13
15
18
21
26
31
a.
5
c.
7
b.
6
d.
8