Answer: It would be approximately 2000 ft.
Step-by-step explanation:
Answer:
W'' = (2, -3)
Step-by-step explanation:
Reflection over the x-axis changes the sign of the y-coordinate.
So, point W' is (-2, -3).
Reflection over the y-axis changes the sign of the x-coordinate.
So, point W'' is (2, -3).
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The answer can be determined by doing the reflections algebraically, as above, or by doing them on a graph, as below.
Answer:
<h2>on the positive y-axis</h2>
Step-by-step explanation:
Look at the picture.
(1) If x = 0, then the point is on the y-axis.
(2) If y > 0, then the point is above the x-axis.
From (1) and (2) we have: The point is on the positive y-axis.
The answer is $30.
We know discounted price of the shoes - $24.
We need to find out the original price of the shoes - x.
The discounted price is 80% of the original price (it is said that <span>shoes have been discounted 20%, so 100-20= 80%).
Let's set up a proportion. If $24 is 80%, how much is 100% (the original price):
$24 : 80% = x : 100 %
After crossing the products:
x = $24 * 100% / 80% = $30
Let's just check the result. After the discount of 20%, shoes will cost:
$30 - 20% = $30 - $30*(20/100) = $30 - $6 = $24.
</span><span>The original price of the shoes is $30.</span>
We begin with an unknown initial investment value, which we will call P. This value is what we are solving for.
The amount in the account on January 1st, 2015 before Carol withdraws $1000 is found by the compound interest formula A = P(1+r/n)^(nt) ; where A is the amount in the account after interest, r is the interest rate, t is time (in years), and n is the number of compounding periods per year.
In this problem, the interest compounds annually, so we can simplify the formula to A = P(1+r)^t. We can plug in our values for r and t. r is equal to .025, because that is equal to 2.5%. t is equal to one, so we can just write A = P(1.025).
We then must withdraw 1000 from this amount, and allow it to gain interest for one more year.
The principle in the account at the beginning of 2015 after the withdrawal is equal to 1.025P - 1000. We can plug this into the compound interest formula again, as well as the amount in the account at the beginning of 2016.
23,517.6 = (1.025P - 1000)(1 + .025)^1
23,517.6 = (1.025P - 1000)(1.025)
Divide both sides by 1.025
22,944 = (1.025P - 1000)
Add 1000 to both sides
23,944 = 1.025P
Divide both by 1.025 for the answer
$22,384.39 = P. We now have the value of the initial investment.
