5. a^2 + b^2 = c^2...where a and b are the legs and c is the hypotenuse
7^2 + 10^2 = c^2
49 + 100 =c^2
149 = c^2....take square root of both sides, eliminating the ^2
sq rt 149 = c
12.21 = c.....so the approximate length of 3rd side is 12 m
6. x = number of books bought
7. m < 2 + m < 8 = 180
8. 1000 = 400 + 24x
1000 - 400 = 24x
600 = 24x
600/24 = x
25 = x <=== 25 months he will have spent $ 1000
<span>4x² - 5x + 1 = 0
a = 4; b = - 5, c = 1
</span>Δ = b² - 4.a.c
Δ = (-5)² - 4.4.1
Δ = 25 - 16
Δ = 9
<span>
x = - b </span>± √Δ / 2.a
A. Two real solutions (x' = -1 and x'' = -1/4)
Since this is a problem of simple interest, then the interest earned will be based always on the principal amount which is 5000. So assuming that, lets also assume that the duration to get interest will be in years since that is the most commonly used duration anyway. So first, let's multiply 5000 with 0.075 to get the interest for the first year. So we will have 375. This means that we will be getting 375 interest every year. We can do trial an error method to get the number of years that will yield us to 6500. Through that, I was able to get 4 years. So 4 times 375 equals 1500 plus the original balance of 5000. It will take 4 years before your balance reaches 6500
Answer:
Don't accept A-G
Accept only A-E
Step-by-step explanation:
The company would those projects with a return of return equal to or higher than its cost of capital of 10.45%
Project A with a 12% return is acceptable.
Project B with a 11.5% rate of return is also acceptable
Project C has a rate of return of 11.2% , hence acceptable.
Project D has 11% rate of return and it is therefore acceptable.
Project E has 10.7% return rate and it is acceptable.
Project F has a lower rate of return of 10.3%, hence rejected, as well as projects G
The answer would be:
Korea: 6
Italy: 7
France: 8
6, 7, 8 are consecutive numbers because they go in the order that you would count from 1-x(an infinite number) with.
I hope this helped! If you have further questions don't be afraid to ask!
~Travis
