toni has recently acquired $100,000 that she intends to. invest in multiple ways. she intends to put an amount of money into her friend's real estate firm and other amount of money in the stock market. she intends to put at least $20,000 in each of the two types of investments. write all inequalities that represent this situation?
To represent the given situation using inequalities, we need to consider the minimum investment required in each type of investment. Let's assume Toni invests x dollars in her friend's real estate firm, and y dollars in the stock market.
According to the information provided, Toni intends to put at least $20,000 in each of the two types of investments. Therefore, we can write the following inequalities:
1) For the investment in the friend's real estate firm:
x ≥ $20,000
2) For the investment in the stock market:
y ≥ $20,000
In addition to these inequalities, we also need to consider the total amount Toni has available for investment, which is $100,000. So, we can write another inequality:
3) Total investment amount should not exceed $100,000:
x + y ≤ $100,000
These three inequalities represent the situation where Toni intends to invest at least $20,000 in each type of investment and the total investment doesn't exceed $100,000.