First you should combine n/6-5n/12
that goes to 2n/12-5n/12 which equals -3n/12
then you should cross multiply -3n/12 by 1/16
12(1)=-3n(16)
12=-48n then solve for n by dividing by -48
-12/48=n simplify -1/4=n or -.25=n
Answer:
They invested total $2730 over the past two years.
Step-by-step explanation:
Consider the provided information.
Dan and Paula regularly invested $25/week in a mutual fund account.
There are 52 weeks in a year.
Total money they invested in a mutual fund in first year.
$25×52 = $1300
They increased their weekly investment by 10 percent.
First find the 10% or 25.

That means they invest $25+$2.5 = $27.5
They invest $27.5/week in next year.
Total money they invested in a mutual fund in second year.
$27.5×52 = $1430
Hence the total money they invested in the account over the past two year is:
$1300+$1430=$2730
Hence, they invested total $2730 over the past two years.
Answer:
∠T ≅ ∠A
Step-by-step explanation:
Since, ∆MTW ≅ ∆CAD
Therefore, ∠T ≅ ∠A (cpct)
Using the binomial distribution, it is found that there is a 0.7447 = 74.47% probability that fewer than 7 of them show up.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, the values of the parameters are given as follows:
p = 0.7, n = 8.
The probability that fewer than 7 of them show up is given by:
[tec]P(X < 7) = 1 - P(X \geq 7)[/tex]
In which:

Then:



Then:

[tec]P(X < 7) = 1 - P(X \geq 7) = 1 - 0.2553 = 0.7447[/tex]
0.7447 = 74.47% probability that fewer than 7 of them show up.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
B. x^2 + 14x + 45.
Step-by-step explanation:
Length = area / width so we do a
Long division:
x - 3) x3 + 11x2 + 3x − 135(x^2 + 14x + 45 <------ Quotient.
x3 - 3x2
14x^2 + 3x
14x^2 - 42x
45x - 135
45x - 135.
.................