3
- x 6 = 4
4
Mary has 6 cakes, she gives 3/4 of the cakes away. How many cakes does Mary have?
Answer:
Maggie is 6 years old
Step-by-step explanation:
M + B = 26
B = 26 - M
4M - 4 = B
4M - 4 = 26 - M
5M = 30
M = 6
Maggie is 6 years old
Answer:
t-shirts: 2790
profit: $12209
Step-by-step explanation:
Given the function:
p(x) = -x³ + 4x² + x
we want to maximize it.
The following criteria must be satisfied at the maximum:
dp/dx = 0
d²p/dx² < 0
dp/dx = -3x² + 8x + 1 = 0
Using quadratic formula:







d²p/dx² = -6x + 8
d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0
d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0
Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.
Replacing into profit equation:
p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209
that is, $12209
Answer:
Number of people employed this year = 373
Step-by-step explanation:
Let the number of employees this year = x
These employees were decreased by 4% then the remaining number of employees this year = x - (4% of x)
= x - 0.04x
= 0.96x
If last year number of people employed were 389 then the number of people employed this year = 0.96×389
= 373.44
When rounded to whole number, number of people employed this year = 373.
Answer:
Step-by-step explanation:
Sam published his first book, a collection of poetry, at the age of 16.