Plugging into the Given Formula the value of y:
Multiply the left side:
Add 14 to both sides to get:
Divide both sides by 8 and we get:
Therefore, x=7 and the proof is complete
<span>So we want to know how much does the pencil costs if the ruler costs 1$ more than the pencil and together they cost 1.5$. So lets start with converting dollars into cents. Lets turn this into an equation. Ruler is x and the pencil is y. So together ruler and pencil cost 150cents or: x+y=150 cents. The ruler costs 100 cents more than the pencil, or: (x+100 cents ) + y = 150 cents. So we see that we need to put the values of x=25 cents and y=25 cents to get the ruler to cost 125 cents which is 100 cents or 1$ more than the pencil. So the pencil costs 25 cents. </span>
Y= 19.25x / which is the 3rd one
The appropriate formula to use here is
A = P (1 + r)^t,
where A is the final amount, P is the initial amount, r is the annual interest rate as a decimal fraction, and t is the number of years (number of compounding periods).
Substituting the givens: $35000 = P(1+0.036)^3
$35000
Solving for P: P = ----------------- = $31476.67 (answer)
(1.036)^3