Answer:
real annual rate= 0.1606 = 16.06%
Step-by-step explanation:
Giving the following information:
APR= 14.99% = 0.1499
<u>First, we will determine the nominal monthly rate:</u>
Nominal monthly rate= 0.1499/12
Nominal monthly rate= 0.01249
<u>Now, to calculate the real annual rate, we need to use the following formula:</u>
real annual rate= [(1 + Nominal monthly rate)^n] - 1
real annual rate= [(1.01249^12) - 1]
real annual rate= 0.1606 = 16.06%
Answer:
B. (5x+5)/(x²-2x)
Step-by-step explanation:
As with numerical fractions, division by a rational expression is equivalent to multiplication by its reciprocal.
<h3>As a multiplication problem</h3>
![\dfrac{5}{x-2}\div\dfrac{x}{x+1}=\dfrac{5}{x-2}\times\dfrac{x+1}{x}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7Bx-2%7D%5Cdiv%5Cdfrac%7Bx%7D%7Bx%2B1%7D%3D%5Cdfrac%7B5%7D%7Bx-2%7D%5Ctimes%5Cdfrac%7Bx%2B1%7D%7Bx%7D)
<h3>Product of rational expressions</h3>
As with numerical fractions, the product is the product of numerators, divided by the product of denominators.
![=\dfrac{5(x+1)}{x(x-2)}=\boxed{\dfrac{5x+5}{x^2-2x}}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B5%28x%2B1%29%7D%7Bx%28x-2%29%7D%3D%5Cboxed%7B%5Cdfrac%7B5x%2B5%7D%7Bx%5E2-2x%7D%7D)
Using <u>probability distribution concepts</u>, the correct option is:
-
C. the sum of the probabilities is not 1.00
- In a probability distribution, the <u>sum of all probabilities has to be equals to 1</u>.
In this problem, the probabilities are: 0.25, 0.45, 0, 0.35.
Their sum is:
![0.25 + 0.45 + 0 + 0.35 = 1.05](https://tex.z-dn.net/?f=0.25%20%2B%200.45%20%2B%200%20%2B%200.35%20%3D%201.05)
Since the <u>sum is not 1</u>, the correct option is:
- C. the sum of the probabilities is not 1.00
For more on <u>probability distribution concepts</u>, you can check brainly.com/question/24802582
The number of apples that are <u>red</u> is 50
<h3>Calculating ratio</h3>
From the question, we are to determine the number of apples that are red
From the given information,
The ratio of red apples to green apples is 5:2
∴ Sum of ratio = 5+2 = 7
and
Total number of apples in the basket = 70 apples
Then, the number of apples that are red is
apples
= 5 × 10
= 50 apples
Hence, the number of apples that are <u>red</u> is 50
Learn more on Caluculating ratios here: brainly.com/question/9477681
7 + 68 = 75
5 x 15 = 75
6 + 69 = 75
3 + 72 = 75