40% of 120 is 48
1/4 of 200 is 50
1/4 of 200 is bigger.
H =8
6 times 6 is 36 and times 8 is 288.
Answer:
<h3><u>Option 1</u></h3>
Earn $50 every month.
- Let x = number of months the money is left in the account
- Let y = the amount in the account
- Initial amount = $1,000

This is a <u>linear function</u>.
<h3><u>Option 2</u></h3>
Earn 3% interest each month.
(Assuming the interest earned each month is <u>compounding interest</u>.)
- Let x = number of months the money is left in the account
- Let y = the amount in the account
- Initial amount = $1,000

This is an <u>exponential function</u>.
<h3><u>Table of values</u></h3>
<u />

From the table of values, it appears that <u>Account Option 1</u> is the best choice, as the accumulative growth of this account is higher than the other account option.
However, there will be a point in time when Account Option 2 starts accruing more than Account Option 2 each month. To find this, graph the two functions and find the <u>point of intersection</u>.
From the attached graph, Account Option 1 accrues more until month 32. From month 33, Account Option 2 accrues more in the account.
<h3><u>Conclusion</u></h3>
If the money is going to be invested for less than 33 months then Account Option 1 is the better choice. However, if the money is going to be invested for 33 months or more, then Account Option 2 is the better choice.
<u>The correct answer</u> is:
4.
Explanation:
In scientific notation, we place the decimal behind the first non-zero digit in the number. For 75,200, this is 7.
We then count the number of places we must move the decimal to place it here. In this problem, we move the decimal 4 places. This is the exponent for 10.
If the height is measured between the parallel ends of the cylinder, the volume is identical:
360 cm³.
_____
If the "height" is measured along the central axis of the cylinder, there is insufficient information to determine the volume.
The slant length of a prism (even a cylindrical one) is immaterial. What matters to the volume is the area of the base and the distance between the planes of the bases (height).