Answer:
y = 12
Step-by-step explanation:
Complementary angles sum to 90 , so
3y - 1 + 4y + 7 = 90
7y + 6 = 90 ( subtract 6 from both sides )
7y = 84 ( divide both sides by 7 )
y = 12
Since this is an improper fraction, you simplify it into a mixed number.
4 goes into 6 1 time. 2 left left over, resulting in 1 2/4. Simplify that into
1 1/2
Answer:
$5308.79
Step-by-step explanation:
The future value can be computed from ...
FV = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual interest rate, n is the number of times per year it is compounded, and t is the number of years.
You have P = $5000, r = 0.03, n = 12 (months per year), t = 2.
Filling in the given numbers, we have ...
FV = $5000(1 +.03/12)^(12·2) ≈ $5000(1.0617570) ≈ $5308.79
The amount of the withdrawal will be $5308.79.
To start, we know the basic equation from what us given:
![c = 25 + mx](https://tex.z-dn.net/?f=c%20%3D%2025%20%2B%20mx)
And we want to find m. Fortunately, we have some numbers to plug in to find m. We can make an equation like this
![67 = (210)m + 25](https://tex.z-dn.net/?f=67%20%3D%20%28210%29m%20%2B%2025)
by taking the amount charged and the amount of miles driven to get that charge given in the original problem.
Now we solve.
![67 - 25 = 210m + 25 - 25 \\ 42 = 210m \\ \frac{42}{210} = \frac{210}{210} m \\ \frac{1}{5} = m](https://tex.z-dn.net/?f=67%20-%2025%20%3D%20210m%20%2B%2025%20-%2025%20%5C%5C%2042%20%3D%20210m%20%5C%5C%20%20%5Cfrac%7B42%7D%7B210%7D%20%20%3D%20%20%5Cfrac%7B210%7D%7B210%7D%20m%20%5C%5C%20%20%5Cfrac%7B1%7D%7B5%7D%20%20%3D%20m)
Now we can put that in our equation to finish it.
![c = \frac{1}{5} x + 25](https://tex.z-dn.net/?f=c%20%3D%20%20%5Cfrac%7B1%7D%7B5%7D%20x%20%2B%2025)
And that is the final equation
Alana and Petra bought 9 books combined.
Angus bought 19 books and had a $10 discount.
Angus spent $5 more than Alana and Petra combined.
This means that the price of 19 books is $15 more than the price of 9 books. 19 books is 10 books more than 9 books.
Giving you 10 books = $15, 1 book = $1.50