Savings account A contains $80. Lance will begin depositing money into this account at a rate of $3.50 per week. Savings account B contains $95. Lara will begin depositing money into this account at a rate of $3.25 per week.. After how many weeks will both accounts contain the same amount of money? A-290 weeks

B-15 weeks

C-3.75

D-60

D-60

Step-by-step explanation:

Let x be the number of weeks.

For Account A,

Initial amount = $80

Amount added per week = $3.50 per week

Money after x weeks = 80+3.50x    ....(i)

For Account B,

Initial amount = $95

Amount added per week = $3.25 per week

Money after x weeks = 95+3.25x    ....(i)

When both account have the same amount , then

hence, it will take 60 weeks.

The correct option is D-60.

Step-by-step explanation:

We know that on a standard number cube, there are total 6 outcomes.

The number written on a standard number cube = 1,2,3,4,5,6

Prime numbers = 2,3,5

Now, the theoretical probability of rolling a prime number on a standard number cube will be :_

Hence, the theoretical probability of rolling a prime number on a standard number cube =