Step-by-step explanation:
Given the expression for the net value of an entertainment company after t months modeled by the equation;
v(t)=4t²-24t-28
1) To write the expression in a factored form, we need to factorize the equation given;
v(t)=4t²-24t-28
divide through by 4
v(t)=t²-6t-7
v(t)= t²-7t+t-7
v(t)= t(t-7)+1(t-7)
v(t)= (t+1)(t-7)
Hence the function in a factored or vertex form is v(t)= (t+1)(t-7)
2) To know the number of months after the company creation that the company reaches its lowest value, we will substitute v(t) = 0 into the factored form of the expression as shown;
v(t)= (t+1)(t-7)
0 = (t+1)(t-7)
(t+1)(t-7) = 0
t+1 = 0 and t-7 = 0
t = -1 and t = 7
But t cannot be negative
Hence t = 7 months
This means that the company reaches its lowest net value after 7 months
Answer:
$29.92
Step-by-step explanation:
Step one:
given data
The bill for dinner totaled $74.80
Then the tip is 20%
Required
The amount paid by each person after the tip was added to the cost of the dinner
Step two:'
the amount of the tip is
=20/100*74.80
= 0.2*74.80
=$14.96
The total is 14.96+74.80
=$89.76
The number of persons including the celebrant is = 3
so each person will pay
=89.76/3
=$29.92
A years old. Na but are you needing an equation ?
Answer:
x = 5
Step-by-step explanation:
20(20-x)=300
1. Divide both sides by 20.
20(20-x)/20 = 300/20
2. Simplify.
20-x=15
3. Subtract 20 from both sides.
20-x-29=15-20
4. Simplify.
-x=-5
5. Divide both sides by -1.
-x/-1 = -5/-1
6. Simplify.
x=5
