Adam invests money in an account paying a simple interest of 6% per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?Answer:
Q. Adam invests money in an account paying a simple interest of 6% per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?Answer:
Calculate Interest Formula: To find the total balance after one year with simple interest, we need to calculate the interest earned and add it to the original balance. The formula for simple interest is:Interest =Principal×Rate×TimeWhere Principal is the initial amount of money, Rate is the interest rate per period, and Time is the number of periods.
Adam's Interest Rate: Adam's interest rate is 6% per year, which can be written as 0.06 in decimal form. Since we are looking for the total balance after one year, Time is 1.
Calculate Interest Earned: Using the formula for simple interest, the interest Adam would earn in one year on a principal amount (which we'll call P) is:Interest=P×0.06×1Interest=0.06P
Find Total Balance: To find the total balance, we add the interest earned to the original principal:Total Balance = Principal + InterestTotal Balance = P+0.06PTotal Balance = 1P+0.06PTotal Balance = (1+0.06)PTotal Balance = 1.06P
Multiply by 1.06: Therefore, Adam should multiply his current balance by 1.06 to find his total balance after one year.
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