Use the compound interest formula
A = P (1 + r/n)^(nt).
Here A = unknown; B = initial amount = $300;
r = rate = 0.0218; n = 2 (2 compounding periods per year); and t = 1/2 (year).
Then A = $300 (1+0.0218/2)^(2*[1/2])
A = $300 (1.0218)^1 or A = $300(1.0218) = $306.54
We want to see which could be the possible score of Kath for the given information. We will find the inequality:
K ≤ 33
<h3>
Stating what we know:</h3>
The given information is:
- The sum of the scores is not greater than 55 points
- Ella's score is 22 points.
<h3>Writing the inequality:</h3>
First, we need to define the variable K for Kath's points, because of the given information, we can write the inequality:
K + 22 ≤ 55
This means that the sum of the points is smaller than or equal to 55.
Now we just need to solve this for K, to do this, we subtract 22 in both sides:
K ≤ 55 - 22
K ≤ 33
From this, we can conclude that Kath has at most 33 points.
If you want to learn more about inequalities, you can read:
brainly.com/question/11234618
Answer:
Step-by-step explanation:
<u>Equation of a Circle</u>
A circle of radius r and centered on the point (h,k) can be expressed by the equation
We are given the equation of a circle as
Note we have corrected it by adding the square to the y. Simplify by 3
Complete squares and rearrange:
We can see that, if r=4, then
Or, equivalently
There are two solutions for 
:
Keeping the positive solution, as required:
The value of Tan 3.4 is 0.059410947 rounded off to four decimal places would equal to 0.0594, letter B. This is your answer if your calculator is in the degree mode.
Tangent or Tan is one of the trigonometry functions. It represents TOA in the sohcahtoa mnemonic which means Tan = Opposite / Adjacent
