Answer:
The age of each person is:
- Jess is <u>21</u> years old.
- Mac is <u>66</u> years old.
Step-by-step explanation:
To solve this problem you must make two equations. First, we name Jess and Mac as variables:
j = Jess age.
m = Mac age.
Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":
1. 
The second equation has the information "The sum of their age is 87":
2. 
Now, we replace the first equation in the second one:
And we operate:
We clear the variable m:
How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:
We replace the value of m:
And clear the variable j:
In the end, Jess's age is 21 years old.
Answer:
2.0806 × 10²
Step-by-step explanation:
To find the dividend per share, we divide the total dividend amount by the total shares.
Dividend per share = 40,000 / 60,000
Dividend per share = $0.67
Your share = 100 x 0.67
Your share = $66.67
Answer: z score = 0.00714
Step-by-step explanation: the value of test statistics is gotten using the standard normal distribution table.
Z= 2.45 has area to the left (z<2.45) and area to the right (z>2.45).
Level of significance α is the probability of committing a type 1 error. The area under the distribution is known as the rejection region and it is the area towards the right of the distribution.
The table I'm using is towards the left of the distribution.
But z>2.45 + z<2.45 = 1
z> 2.45 = 1 - z<2.45
But z < 2.45 = 0.99286
z > 2.45 = 1 - 0.99286
z >2.45 = 0.00714
Hence the test statistics that would produce the least type 1 error is 0.00714
Answer:
D
Step-by-step explanation:
$49 one time payment so it is added.
$25 per month and he pays for a year(12 months) = 12 times 25
$49 + (12 × 25)