Answer:
$501,049.37
Step-by-step explanation:
For computing the amount after 22 years we need to applied the future value which is shown in the attachment below:
Given that
PMT = $9,000
NPER = 22 years
Annual rate = 0.078
Quarterly= 0.078 ÷ 4 = 0.0195
Effective annual rate = (1.0195^4) - 1 = 0.0803113041
Now applied the formula which is given below
= -FV(RATE;NPER;PMT;PV)
After applying the above formula, the future value is $501,049.37
Answer:
540°.
Step-by-step explanation:
On a unit circle, cos θ = -1 at 180°.
However, cos θ has a period of 2π, or 360°. This means that cos θ will equal to -1 again after 2π.
To solve for the angle:
180° + 360° = 540°. This is the next angle at which cos θ = -1.
The number of ways to arrange the 5 writings in a row is 5! = 5 * 4 * 3 * 2 * 1 = 120 ways.
There is only 1 way to arrange the writings from oldest to newest.
Therefore, the probability is 1/120.
<u>Answer:</u>
x ---> 1
y ---> 5
<u>Step-by-step explanation:</u>
We are given paired values for two variables x and y and we are to determine the constant number by which each term is increased such that they are in a proportional relationship.
For x, we have the following paired values:

So here the difference between each consecutive term is 1 so the constant is 1.
And for y, we have:

In this case, the difference between each consecutive term is 5 so the constant is 5.
H=how far up from the ground does the ladder touch the building
h/30=sin 25°
h=30 sin 25°
h=12.7 decimeters(1 decimal place)
Answer: The height that the ladder touch the building far up from the ground is 12.7 decimeters.