Answer: The account that compounds daily.
Step-by-step explanation: If you reinvest your money more frequently, then you will also be able to earn interest on the interest that you earned the previous day and so on.
Bag 1: 2R, 1B
Bag 2: 1R, 1B, 2Y
Draw 1 from each bag
a) P(same color)
We have 2/3 chance of drawing R from bag 1 and a 1/4 chance of drawing R from bag 2
P(both R) = (2/3)(1/4) = 1/6
We have a 1/3 chance of drawing B from bag 1 and 1/4 chance of B from bag 2
P(both B) = (1/3)(1/4) = 1/12
P(same color) =1/6 + 1/12 = 3/12 = 1/4
Answer: a) 1/4
b) P(exactly one R)
Same story except we look at the complement in bag 2
We have 2/3 chance of drawing R from bag 1 and a 1/4 chance of drawing R from bag 2, so a 3/4 chance of NOT drawing R.
P(1st red, second not red) = (2/3)(3/4) = 1/2
We have 1/3 chance of drawing B from bag 1, so 1/3 chance of drawing NOT red from bag 1. We have a 1/4 chance of drawing R from bag 2, so
P(1st blue, second not blue) = (1/3)(1/4) = 1/12
P = 1/2 + 1/12 = 6/12 + 1/12 = 7/12
Answer: 7/12
JFMAMJJASOND <== months of yr......
so there are 2 months that begin with M and there are 12 months in a yr.
so the ratio would be : 2/12 which reduces to 1/6 or 1:6 or 1 to 6
Answer:
$1530 = 45% commission
Step-by-step explanation:
First, jot down the important facts:
• first $1000 = 10% comm.
• next $2000 = 15% comm.
• total more than $3000 = 20% comm.
• total comm. = $3400
Then, go in order with your jotted facts to withdraw the total commission amount. Here's what I mean:
$3400 ← total is more than $3000 = +20% comm.
<u>- $1000</u> ← the first $1000 = +10% comm.
$2400
<u>- $2000</u> ← the next $2000 = +15% comm.
$400
Then, add together the commission percentages:
20% + 10% + 15% = 45% comm.
Convert the percentage to a decimal:
45% × 100 = 0.45
And multiply it with the total amount to find the commission amount:
$3400 × 0.45 = $1530
I like to start by dividing the given number by 2, unless a larger factor is evident.
1386 = 2(693). It's pretty obvious that we can divide 693 by 3: 693=3(231).
Then we have 1386 = (2)(3)(231). Try the same procedure. Does 231 have any integer, prime factors? See how far you can take this factoring.
