$6,000 dollars is invested in two different accounts earning 3% and 5% interest. At the end of one year, the two accounts earned $220 in interest. Set up a systems of linear equations to model the amount of money invested and the interest earned.

x + y = 6000

0.03x + 0.05y = 220

Step-by-step explanation:

Given that :

Total principal amount = $6000

Account A:

Let principal = x

Rate = 3% = 0.03

Account B:

Let principal = y

Rate = 5% = 0.05

Interest earned at after one year = $220

Amount invested :

x + y = 6000

Simple interest = principal x rate x time

Interest earned

(x * 0.03 * 1 ) + (y * 0.05 * 1) = $220

0.03x + 0.05y = 220

i hope this is what you were looking for.

see attached graph

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