To buy a new house you must save 10% of the price of the house as a down payment. You hope to buy your dream house six years from now. Today your dream house has a price of $289,900. You expect housing prices to rise by an average of 4.5% per year over the next six years. If you can invest at a 7% per year how much do you need to invest today to have enough money saved for your down payment in six years?

please show variables/work and explain