Mrs. Santos is 29, 44-15=29
Answer:
285 boxes are in the display
Step-by-step explanation:
Given data
top layer box = 1
last row box = 81
to find out
how many box
solution
we know that every row is a square so that if the bottom layer has 81 squares it mean this is 9² and every row has one lesser box
so that next row will have 8^2 and than 7² and so on till 1²
so we can say that cubes in the rows as that
Sum of all Squares = 9² + 8² +..........+ 1²
Sum of Squares positive Consecutive Integers formula are
Sum of Squares of Consecutive Integers = (1/6)(n)(n+1)(2n+1)
here n = 9 so equation will be
Sum of Squares of Consecutive Integers = (1/6) × (9) × (9+1) × (2×9+1)
Sum of Squares of Consecutive Integers = 285
so 285 boxes are in the display
Your answer would be B and C
Answer:
94.7
Step-by-step explanation:
Answer:
Year in which the entrepreneur break even is 4
Step-by-step explanation:
We are given:
p(x) = x^3-4x^2+5x-20
We would find the value of x
Solving:
x^3-4x^2+5x-20 = 0
(x^3-4x^2)+(5x-20) = 0
x^2(x-4)+5(x-4) = 0
(x-4)(x^2+5)=0
=> x-4 = 0 and x^2+5 =0
x = 4 and x^2 = -5
x = 4 and x = ±√-5 or ±√5 i (not real solutions)
So, x = 4
So, year in which the entrepreneur break even is 4