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Elza [17]
3 years ago
6

Starla and Lewis start saving money every month. Starla has an initial balance of $100, and she deposits $15 every month in her

account. Lewis has an initial balance of $65, and he deposits $20 every month in his account.
After how many months will they will have the same balance in their accounts?

A.
Starla and Lewis will have the same balance in their accounts after 6 months.
B.
Starla and Lewis will have the same balance in their accounts every month.
C.
Starla and Lewis will never have the same balance in their accounts.
D.
Starla and Lewis will have the same balance in their accounts after 7 months.
Mathematics
1 answer:
seraphim [82]3 years ago
5 0

Answer:

D. Starla and Lewis will have the same balance in their accounts after 7 months.

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An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a d
Anika [276]

Answers:

P(A) = 7/12

P(B) = 1/4

====================================================

Explanation:

Instead of having one die, let's say we have two dice. I'll make one red and the other blue.

I'll be using the dice chart shown below. The red and blue values add up to the black numbers inside the table. For instance, we have 1+1 = 2 in the upper left corner. There are 6*6 = 36 sums total.

Using that table, we can see the following:

  • There are 6 copies of "7"
  • There are 5 copies of "8"
  • There are 4 copies of "9"
  • There are 3 copies of "10"
  • There are 2 copies of "11"
  • There is 1 copy of "12"

In total, we have 6+5+4+3+2+1 = 21 instances where the two dice add to something larger than 6.

This is out of 36 ways to roll two dice.

Therefore P(A) = 21/36 = (3*7)/(3*12) = 7/12

-----------------------------------

If a number is divisible by 4, then it is a multiple of 4.

The multiples of 4 found in the table are: 4, 8, 12

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This gives 1+5+3 = 9 values that are a multiple of 4

P(B) = 9/36 = (1*9)/(4*9) = 1/4

8 0
2 years ago
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