Answer:
Part A
y =($50 - ($23 × 2 + $5)+ $22)
y = $21
Part B
Clay can get his balance to zero by withdrawing or writing another check for $21
Step-by-step explanation:
Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22.
Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46
Let his final Account Balance = y
y =($50 - ($23 × 2 + $5)+ $22)
y =$72 - $51
y = $21
Part B: Explain in words, what Clay should do to get his account balance to zero?
Clay can get his balance to zero by withdrawing or writing another check for $21
= $21 - $21
= $0
Answer:
-4x^2 -2x+6
Step-by-step explanation:
2x^2+(4x-6x^2)+9-(6x+3)
Distribute the minus sign
2x^2+4x-6x^2+9-6x-3
Combine like terms
2x^2 -6x^2 +4x -6x +9-3
-4x^2 -2x+6
I'll leave the computation via R to you. The are distributed uniformly on the intervals , so that
each with mean/expectation
and variance
We have
so that
Now,
and
We have
because and are independent when , and so
giving a variance of
and so the standard deviation is
# # #
A faster way, assuming you know the variance of a linear combination of independent random variables, is to compute
and since the are independent, each covariance is 0. Then
and take the square root to get the standard deviation.
A check card and debit card are in essence the same thing. ... The funds are taken directly, and in most cases immediately, from a linked checking or savings account through a bank. A credit card is issued by a bank or retailer as a means to make purchases using credit
Add 9 to both sides to form a perfect square trinomial:
x² + 6x = 7
x² + 6x + 9 = 16
x² + 2•x•3 + 3² = 16
(x + 3)² = 16
(recall that (a + b)² = a² + 2ab + b²)
Now solve for x. Taking square roots on both sides, we get
x + 3 = ± √16
x + 3 = ± 4
x = -3 ± 4
so the two solutions are x = -7 and x = 1.