Answer:
Simple Interest: A = P(1+rt)
Step-by-step explanation:
P: the principal, the amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
Ex1: If $1000 is invested now with a simple interest of 8% per year. Find the new amount after two years.
P = $1000, t = 2 years, r = 0.08.
A = 1000(1+0.08(2)) = 1000(1.16) = 1160
Answer:
It's the second option
Step-by-step explanation:
When inputting each of those numbers given in the question into the equation, you get the numbers in the second option.
9514 1404 393
Answer:
(d) 36 feet
Step-by-step explanation:
Use your sense of geometry.
The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.
That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.
The measure is about 36 feet.
__
If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...
d^2 = 20^2 +30^2 = 1300
d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet
_____
* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.
B) {x|x ∈ U and 2x is prime}
x is greater than 1.
the only even prime number is 2
2 times anything is even.
the minimum x value is 2. 2x is 4, therefore higher than the only even number
every value 2x will have a multiple of 2 so it will not be prime.
1. Given
2. Addition property
3. Division property