Darren invests $750 in an account that pays 2.5% simple interest for 40 weeks. How much will his investment be worth at the end of this time?

  $764.42

Step-by-step explanation:

The account balance is given by the formula ...

  A = P(1 +rt)

where P is the principal invested, r is the annual rate, and t is the number of years. Here, we assume 52 weeks in the year, since the time period is given in weeks.

Filling in the numbers, we have ...

  A = $750(1 +0.025(40/52)) = $764.42

Darren's investment will be worth $764.42 at the end of 40 weeks.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.