Answer:
John had $572 in his savings account.
Step-by-step explanation:
Let the total amount John took from his savings account be T.
He spent $52. That means he has $(T - 52) left.
He then spent 1/2 of what was left on presents for his friends. That is:
Which means he is left with another half of what was left, that is,
Of the money remaining, John put 4/13 into checking account.
This means that he is left with 9/13 of .
We are told that this is equivalent to the last remaining $180 that John left to charity.
=>
Hence:
=> T = 520 + 52 = $572
Hence, John took $572 from his savings account. Since this is all he had in his savings account, John had $572 in his savings account.
Answer:
The hypothesis of the conditional is "<em>A number is odd</em>".
Step-by-step explanation:
The statement can be represented by the following proposition:
(Eq. 1)
Where:
is the hypothesis of the proposition.
is the conclusion of the proposition.
- Binary connector, which means "If...., then...."
In this case, we present what each propostion represents:
P = A number is odd.
Q = It has a remainder of 1 when divided by 2.
In consequence, the hypothesis of the conditional is "<em>A number is odd</em>".
Answer:
phone
makeup
american girl doll
hoverboard
new tv
new clothes
new shoes
new teddy bears
Step-by-step explanation:
Let's define variables:
x: number of times the ticket price increases ($ 1).
The income is given by:
I(x) = (15 + x)(500-20x)
We can rewrite this function in the following way:
I (x) = - 20x ^ 2 + 200x + 7500
We use the following equation to find the maximum:
max = (-b)/(2a)
where:
then, we have:
max = (-200)/(2(-20))
max = (200)/(40)
max=5
Thus, the ticket price that maximizes the benefit is:
15 + x = 15 + 5 = 20 $
Answer:
A ticket price that will maximize the charity's profit, if there are total 500 seats in the concert hall is:
$ 20
Answer:
c
Step-by-step explanation: