Answer:
25%
Step-by-step explanation:
We can use a proportion to answer this question:
64 represent the 100% of the games
so:
x : 100 = 16 : 64
x = (16*100)/64 = 1600/64 = 25%
Answer:
Salesman is not correct
Step-by-step explanation:
First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:
Bonus Share For 7 Salesmen = (0.6)(£ 2100)
Bonus Share For 7 Salesmen = £ 1260
Now, this is equally divided among 7 salesmen:
Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7
S₁ = £ 180
Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:
Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10
S₂ = £ 210
S₂/S₁ = £ 210/£ 180
S₂/S₁ = 1.16
S₂ = 1.16S₁
S₂ = 116% of S₁
This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.
<u>Therefore, salesman is not correct</u>
<h3>
Answer: x = 65.4</h3>
==================================================
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(x) = 5/12
x = arccos(5/12)
x = 65.375681647836 which is approximate
x = 65.4 after rounding to one decimal place
Make sure your calculator is in degree mode. The arccosine function is the same as the inverse cosine function (shortened to
).
Answer:
4
Step-by-step explanation:
<h3><u>some relevant limit laws</u></h3>
lim C = C where c is a constant.
lim( f(x) + g(x)) =lim f(x) + lim g(x)
lim( f(x)g(x)) =lim f(x) * lim g(x)
lim( cg(x)) =clim g(x)
lim( f(x)/g(x)) =lim f(x) / lim g(x) if lim g(x) is not equal to zero.
lim( f(x))^2 = (lim f(x) )^2
lim square root( f(x)) = square root(lim f(x) )
![\lim_{n \to 3} g(x) = 9\\\\\lim_{n \to 3} f(x) = 6\\\\ \lim_{n \to 3} \sqrt[3]{f(x)g(x) + 10} \\\\ = \lim_{n \to 3} \sqrt[3]{f(x)g(x) + 10}\\\\= \sqrt[3]{lim_{n \to 3}f(x) \times lim_{n \to 3}g(x) + 10}\\\\= \sqrt[3]{6 \times 9 + 10}\\\\= \sqrt[3]{64}](https://tex.z-dn.net/?f=%5Clim_%7Bn%20%5Cto%203%7D%20g%28x%29%20%20%3D%209%5C%5C%5C%5C%5Clim_%7Bn%20%5Cto%203%7D%20f%28x%29%20%20%3D%206%5C%5C%5C%5C%20%5Clim_%7Bn%20%5Cto%203%7D%20%5Csqrt%5B3%5D%7Bf%28x%29g%28x%29%20%2B%2010%7D%20%5C%5C%5C%5C%20%3D%20%5Clim_%7Bn%20%5Cto%203%7D%20%5Csqrt%5B3%5D%7Bf%28x%29g%28x%29%20%2B%2010%7D%5C%5C%5C%5C%3D%20%5Csqrt%5B3%5D%7Blim_%7Bn%20%5Cto%203%7Df%28x%29%20%5Ctimes%20lim_%7Bn%20%5Cto%203%7Dg%28x%29%20%2B%2010%7D%5C%5C%5C%5C%3D%20%5Csqrt%5B3%5D%7B6%20%5Ctimes%209%20%2B%2010%7D%5C%5C%5C%5C%3D%20%5Csqrt%5B3%5D%7B64%7D)
= 4