500 acres of land costs 800 dollars and every year there is a three percent increase in price then it gives the end cost was one thousand.

it asks for the equation using v=p(1+r) raised to the n power

V=P(1+r)^n

1000=800(1.03)^n

take the log of each side...

3=log800+nlog1.03
solve for n.

Pewee adds two liters of pure alcohol to a 30% solution of alcohol in water. If the new concentration is 40%, how many liters of the original solution were there?

If you have a question, it is much better to put it in as a separate post in <Post a New Question> rather than attaching it to a previous question, where it is more likely to be overlooked.

To find the equation using the given information, we can use the formula for compound interest:

V = P(1 + r)^n

V represents the end value, P is the initial value (or principal), r is the interest rate in decimal form, and n is the number of periods.

In this case, the initial value (P) is $800, the interest rate (r) is 3% or 0.03, and the end value (V) is $1,000.

Since the question states that there is a three percent increase in price every year, it implies that the interest rate is applied annually.

Plugging in the given values into the formula, we have:

$1,000 = $800(1 + 0.03)^n

So, the equation using v=p(1+r) raised to the n power is:

$1,000 = $800(1.03)^n