Number of rooms left excluding a quarter of 140 is: 105 rooms.
<h3>What is a Quarter of a Number?</h3>
A quarter is one-fourth. A quarter of a number is therefore, one-fourth of that number or 1/4 part of the number.
Therefore, number of rooms cleaned = 1/4(140) = 35.
A quarter of the 140 rooms is: 35.
Number of rooms left for cleaning in the afternoon = 140 - 35
Number of rooms left for cleaning in the afternoon = 105 rooms.
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Using the compound interest formula,
572.86=287,50(1+i)^8
(1+i)^8=572.86/287.50=1.992557
1+i=(1.992557)^(1/8)=1.0899996
=>
i=1.0899996-1=9%
Note: This problem can also be solved in the head using the rule of 72.
Since after 8 years, the amount is roughly doubled, we can say that the interest rate is approximately 72/8=9%
Answer:
x = 11.74739484
Step-by-step explanation:
To solve this problem, you can use trig functions. We are given an angle and the side next to it, and we are looking for the side opposite it. The perfect trig function to use for this would be tangent:
tan(θ) = opposite / adjacent
We can substitute the values we already have:
tan(40) = x / 14
x = 14 * tan(40)
We can evaluate this using a calculator and get:
x = 11.74739484
