Lets begin with our y=mx+b, our constant(b) is 800 that she earns as a salary, our x represents the amount she sells, m then represents the commission which is 8.25% so converting that to a decimal and replacing it as m gets us y = 0.0825x+800. Replace $4500 for x and we have y=0.0825(4500)+800 solve and we get $1171.25
Answer:
a) Matrix B = ![\left[\begin{array}{c}5\\7\\9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D5%5C%5C7%5C%5C9%5Cend%7Barray%7D%5Cright%5D)
b) Matrix AB = ![\left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D2525%5C%5C3620%5C%5C2845%5C%5C3705%5Cend%7Barray%7D%5Cright%5D)
c) $12,695
Step-by-step explanation:
Matrix A = ![\left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D225%26110%2670%5C%5C95%26160%26225%5C%5C280%2665%26110%5C%5C0%26240%26225%5Cend%7Barray%7D%5Cright%5D)
a) Matrix B = ![\left[\begin{array}{c}5\\7\\9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D5%5C%5C7%5C%5C9%5Cend%7Barray%7D%5Cright%5D)
Gross Receipt = AB
.
= ![\left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D2525%5C%5C3620%5C%5C2845%5C%5C3705%5Cend%7Barray%7D%5Cright%5D)
c) Total revenue is the sum of receipts from 4 cinemas given in part b
Hence,
Total revenue = $2525 + $3620 + $2845 + $3705 = $12,695
The slope is 3. to find the slope of the equation, you look at the leading coefficient (the number in front of the x)
Answer:
90⁰
Step-by-step explanation:
y=cosx
y'= -sinx
eqñ of tangent is y=-x
slope of tangent =-1
we know...
slope of tangent = y' or derivative of y
-sin x = -1
sin x= 1
x = 90⁰
Draw a number line number it with negative number on the left and postive numbers at the right start at postive 6 now go to the left twice your answer should be 4