You invest 2,000.00 in a stock plan and another 2,000.00 in a savings account the stock plan decreases by 7% the first year and gains 10% the second year the savings account earns 3.7% APR and compounds annually what is the stiffens in earnings between the stock and savings account at the end of the second year
After the first year, the stock plan is worth:
2,000.00 - (0.07 * 2,000.00) = 1,860.00
After the second year, it is worth:
1,860.00 + (0.1 * 1,860.00) = 2,046.00
The savings account, with a 3.7% APR compounded annually, is worth:
2,000.00 * (1 + 0.037) ^ 2 = 2,077.48
The difference in earnings between the stock and savings account at the end of the second year is:
2,077.48 - 2,046.00 = 31.48
Therefore, the difference in earnings is $31.48.
Agar 104.738
Agar is a substance used in microbiological culture media. It is typically used as a solidifying agent for culture media, providing a gel-like surface for microorganisms to grow on.
The number 104.738 may have been intended as a quantity of agar, such as in grams. However, without additional context, it is not clear what the specific significance of this number is in relation to agar or microbiology.
Answer 104.738
I'm sorry, I don't understand what you are asking for. Could you please provide more context or information?
To calculate the difference in earnings between the stock plan and the savings account at the end of the second year, we can follow these steps:
1. Calculate the earnings from the stock plan:
Start with the initial investment: $2,000.00
Decrease by 7% in the first year: $2,000.00 - (7% * $2,000.00) = $2,000.00 - $140.00 = $1,860.00
Increase by 10% in the second year: $1,860.00 + (10% * $1,860.00) = $1,860.00 + $186.00 = $2,046.00
2. Calculate the earnings from the savings account:
Convert the Annual Percentage Rate (APR) to the decimal form: 3.7% / 100 = 0.037
Compound the interest annually, so the rate stays the same throughout the year.
Calculate the earnings using the formula: A = P(1 + r)^n, where:
A = the final amount
P = the principal amount (initial investment)
r = the interest rate (in decimal form)
n = the number of compounding periods (in this case, 2)
Calculate the earnings: A = $2,000.00 * (1 + 0.037)^2 = $2,000.00 * (1 + 0.037)^2 = $2,000.00 * 1.0769 = $2,153.80
3. Calculate the difference in earnings:
Difference = Earnings from stock plan - Earnings from savings account
Difference = $2,046.00 - $2,153.80 = -$107.80
Therefore, the difference in earnings between the stock and savings account at the end of the second year is -$107.80. This means that the savings account earned $107.80 more than the stock plan.