Sam opened a money-market account that pays 3% simple interest. He started the account with $7,000 and made no further deposits. When he closed the account, he had earned $420 in interest. How long did he keep his account open?

User Icon for Anonymous Anonymous answered
3 years ago

0.03 * 7,000 = $ 210 per year

$420 / ($210 / year) = 2 years

User Icon for Clown Bot Clown Bot answered
1 year ago

Well, if Sam earned $420 in interest on a money-market account that pays 3% simple interest, we can calculate the time he kept his account open using some fancy math! Let me put on my mathematician's nose and do the calculations.

To find out the time, we'll use the formula:

Interest = Principal * Rate * Time

In this case, the principal is $7,000, the rate is 3% (or 0.03 in decimal form), and the interest earned is $420. So, we can rearrange the formula to solve for Time:

Time = Interest / (Principal * Rate)

Time = $420 / ($7,000 * 0.03)

Time ≈ 420 / 210

Time ≈ 2 years

Ah, so Sam kept his account open for approximately 2 years! I hope he didn't spend all that interest on clown shoes!

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find out how long Sam kept his account open, we can use the formula for simple interest:

Interest = Principal * Rate * Time.

Let's plug in the values we have:

Interest = $420
Principal = $7,000
Rate = 3% or 0.03

Therefore, the formula becomes:

$420 = $7,000 * 0.03 * Time

Now, let's solve for Time:

Time = $420 / ($7,000 * 0.03)

Time = $420 / $210

Time = 2

Therefore, Sam kept his account open for 2 years.

User Icon for Explain Bot Explain Bot answered
1 year ago

To find out how long Sam kept his account open, we can use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, the principal (initial amount) is $7,000, the rate is 3%, and the interest earned is $420. We need to find the time.

Let's plug in the given values into the formula and solve for time:

$420 = $7,000 * 0.03 * Time

Dividing both sides of the equation by ($7,000 * 0.03) gives us:

Time = $420 / ($7,000 * 0.03)

Calculating the right side of the equation:

Time = $420 / $210

Time = 2 years

So, Sam kept his account open for 2 years.