Answer:
Step-by-step explanation:
Distance of (-3,4) to origin = √((-3)^2+4^2) = 5
sinθ = 4/5
cosθ = -3/5
tanθ = 4/(-3) = -4/3
cscθ = 1/sinθ = 5/4
secθ = 1/cosθ = -5/3
cotθ = 1/tanθ = -3/4
Answer:
Step-by-step explanation:
At the self employed store, her monthly expense would be
y = $835
Which would plot as a horizontal line
At the franchise store here expense would be
y = 5x where x is the number of haircuts completed.
This would plot as a straight line of slope 5
The two would intersect when the two y values are equal
5 x = 835
so the same cost per month would occur at y = 835
at the franchise, she would have completed 835/5 = 167 haircuts.
If she plans on doing fewer than 167 haircuts per month, she nets more money at the franchise,
If she completes more than 167 haircuts per month, the self employed store deal keeps more money in her pocket.
Solve the top equation for x and then substitute that into the bottom equation and solve for y:
Top equation: subtract 4 from both sides to get x = y - 4
Substitution and simplify:
y = 4(y - 4) - 10
y = 4y - 16 - 10
y = 4y - 26
-3y = -26
y = 26/3 or 8 1/3 or 8.333 (those are all the same but in different forms)
Answer:
0.925 or 92.5%
Step-by-step explanation:
y=a(1-b)^x
decay factor is 1-b <- and the part we care about
b is 7.5%=0.075
1-0.075
=0.925
I'm a little rusty on exponential rates, but I hope this helps!
