Answer:
B. 0.69
Step-by-step explanation:
Law of Cosines: cos A = (b² + c² - a²) / 2bc
cosθ = (7² + 11² - 8²) / 2*7*11 = 106/154 = 0.688 ≈ 0.69
Answer:
The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed. There is no leftover.
When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.
Step-by-step explanation:
a) Data and Calculations:
Food Clothes Housing Energy High Quality 100
Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.20
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.10
Coal Miner 0.20 0.15 0.20 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.50
Total 1.00 1.00 1.00 1.00 1.00
Answer: x^2+9x+20
Step-by-step explanation:
To find the area you multiply the sides so it should be (x+4)(x+5) which is x^2+9x+20. Good luck!
Using simple interest, we have that:
A) The interest due after 8 months is $11,272.33.
B) The total value of the investment will be of $189,986.24.
The amount of interest earning using <em>simple interest</em>, after <u>t years</u>, with an <u>yearly interest rate of i</u> and an <u>initial investment of P</u> is given by:

In this problem:
- Deposit of $178,000, hence
. - Interest rate of 9.5% per year, hence
. - 8 months, the time is in years, hence

Item a:


The interest due after 8 months is $11,272.33.
Item b:
For the second interest, we consider
, hence:


The total value will be composed by:
- The initial deposit of $178,000.
- The first interest of $11,272.33.
- The second interest of $713,91.
Hence, it will be:

The total value of the investment will be of $189,986.24.
A similar problem is given at brainly.com/question/13176347