2. your grandparents give you two options to invest money for your future. the first option is to
put $10,000 into an account and add $2000 each year for 25 years (the initial $10,000 doesn’t
count as a year). the second option is to put $3 into an account and double the amount in the
account each year for 14 years (the initial $3 doesn’t count as a year). which option would
result in a greater sum of money and by how much?
3. the population of a certain species of bacteria doubles every hour. use the following
exponential population equation to determine the amount of time it would take a population of
1 bacteria to grow to 1024. = 0(2)^t

Answer

Option 1 by $10,851.

Step-by-step explanation:

The second option is  a geometric series with first term 3 and common ratio.

2.

Amount in the account after 14 years = 3 * (2^14) - 1)  / (2 - 1)

=  $49.149

The second option: the amount after 25 years will be 10,000 + 25(2000)

=  60,000.

So the first option results in more money .

It is 60,000 - 49,149 - $10851.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!