On a game show, contestants must arrange the digits 3, 4, and 5 in the proper order to form the price of an appliance. When the contestant arranges the digits correctly, he or she wins the appliance. What is the probability of winning when the contestant knows that the price is at least $400?

25%

Step-by-step explanation:

The first thing is to identify the digits of 400, being 0 the first, the other 0 the second and the last digit would be 4, therefore, to make it less than 400, we have the following options:

1 choice for 3rd digit, can only value 3, because 4 and 5 would be greater than 400.

For the first and second digits it would be the same, two options, 4 or 5, no matter what. That is to say:

2 choices (4,5) for 1st digit

2 choices (4,5) for 2nd digit

Therefore, so 4 possible options out of which 1 is correct

P = 1/4 = 0.25

P =  25%

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

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