# In order to accumulate enough money for a down payment on a house, a couple deposits $758 per month into an account paying 6% compounded monthly. If payments are made at the end of each period, how much money will be in the account in 7 years?

About $79,000, but I wonder if this question is in the right category.

r=0.06 (r is the interest rate as decimal) R=$758 (R stands for the monthly payment) n=12 because 12 payments per year t = 7 for 7 years

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To calculate the future value of the investment, you can use the formula for compound interest:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

Where: FV = future value P = initial deposit or payment (monthly deposit in this case) r = annual interest rate (in decimal form, so 6% becomes 0.06) n = number of times interest is compounded per year (monthly compounding in this case) t = time in years

Plugging in the given values: P = $758 r = 0.06 n = 12 (monthly compounding) t = 7

FV = 758 * ((1 + 0.06/12)^(12*7) - 1) / (0.06/12)

FV ≈ $69,086.68

So, there will be approximately $69,086.68 in the account after 7 years.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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