Answer:
n = all real numbers
Step-by-step explanation:
7n+12=1/2(14n+24)
multiply each side by 2
2(7n+12)=2*1/2(14n+24)
distribute
14n+24 = 14n + 24
subtract 14n from each side
14n-14n+24 = 14n-14n + 24
24=24
this is always true
n = all real numbers
Answer:
$ 126
Step-by-step explanation:
9 months is 3/4 of one year
2100 * 3/4 * .08 = 126 dollars interest
<h3>Given</h3>
A(-3, 1), B(4, 5)
<h3>Find</h3>
coordinates of P on AB such that AP/PB = 5/2
<h3>Solution</h3>
AP/PB = 5/2 . . . . . desired result
2AP = 5PB . . . . . . multiply by 2PB
2(P-A) = 5(B-P) . . . meaning of the above
2P -2A = 5B -5P . . eliminate parentheses
7P = 2A +5B . . . . . collect P terms
P = (2A +5B)/7 . . . .divide by the coefficient of P
P = (2(-3, 1) +5(4, 5))/7 . . . . substitute the given points
P = (-6+20, 2+25)/7 . . . . . . simplify
P = (2, 3 6/7)