Keisha is planning an event for her company. It will take place the 3rd Saturday of May, and will be four hours long. There will be 35 employees at the event, and each can bring one guest. She must make arrangements for venue, décor, food, beverages and entertainment. She has a budget of $3,000. After researching available options, she has developed the following list of possible vendors. Décor A: $300; Décor B: $500; Décor C: $750
Food A: $15 per person; Food B: $18 per person; Food C: $800
Beverage A: $3 per person; Beverage B: $5 per person; Beverage C: $500 Entertainment A: $16 per person; Entertainment B: $1,000; Entertainment C: $1,500
She now needs to decide what to buy and who to hire in order to stay under budget. In order to further guard against going over budget, she has decided to leave herself 10 percent of the budget for a contingency fund. Assuming all vendors listed above are of similar quality, how should she decide among vendors? If her boss is not pleased by her initial choice, is there another under-budget combination of vendors she can suggest?
M

4+n=5

step-by-step explanation:

this is because the four is four hours and the n represents the 1 extra hour over the weekend.

b= i'm srry i don't know that one.

4+n=5 n=1 because if vernon plays 5 hours a week then 4+1=5 hours.

hope this : )

it is impossible.

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.