Answer:
- y = 242.4
- x = 437.3
First find the inner angle:
- 90° - 29°
- 61°
[ given hypotenuse = 500 ft ]
using sine rule:
using pythagoras theorem:
- a² + b² = c²
- y² + (437.3)² = 500²
- y = √58760.1
- y = 242.4
Josiah downloads 44 songs including 16 songs by his favorite band. Express as a decimal the number of songs by his favorite band
that Josiah downloaded out of the total number of downloads. Is the decimal terminating or repeating?
2 answers:
Using a calculator, 16/44 = 0.363636363636363636... it goes on and on. It is repeating. If it was terminating, you would see the end.
There are a few ways to report the number, I'm not sure which one you need. A common way to show a repeating decimal is to put a line above it, I will upload a picture of what I mean.
Otherwise, you can round it.
There are a few ways to report the number, I'm not sure which one you need. A common way to show a repeating decimal is to put a line above it, I will upload a picture of what I mean.
Otherwise, you can round it.
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Answer:
a) The demand function is
b) The nightly revenue is
c) The profit function is
d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.
Step-by-step explanation:
a) Lets find the slope s of the demand:
Since the demand takes the value 79 in 7, then
b) The nightly revenue can be found by multiplying q by p
c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)
d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P
Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.