What is the value of y in the solution to the system of equations? 1/3x+1/4y=2 2x – 3y = –30 –8 –3 3 8

y = 9 1/3 or 8 if the first equation is 1/3x + 1/4y = 1.

Step-by-step explanation:

1/3x + 1/4y = 2

    2x - 3y = -30

Multiply the first equation by -6:

- 2x - 3/2y = -12  

Adding the last 2 equations:

-9/2 y = -42

y = -42 * -2/9

y = 9 1/3.

If the first equation is 1/3x + 1/4 y = 1

then y = -36 * -2/9

= 8.

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.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560