A business is planning to purchase a piece of equipment that will produce a continuous stream of income for $7$ years with rate of flow $f(t)=7,000.$ If the continuous income stream earns $6\mathrm{.}9\%,$ compounded continuously, what single deposit into an account earning the same interest rate will produce the same future value as the continuous income stream? $($This deposit is called the present value of the continuous income stream.$).$

What is the future value of the investment?

$ $($Round to the nearest dollar as needed.$)$