Answer:
35 years
Step-by-step explanation:
The proportion p that remains after y years is ...
p = (1/2)^(y/5.27)
In order for 1/100 to remain (the level decays from 100 times to 1 times), we have ...
.01 = .5^(y/5.27)
log(0.01) = y/5.27·log(0.5) . . . take logs
y = 5.27·log(0.01)/log(0.5) ≈ 35.01 ≈ 35 . . . . years
90 < [( n + n + 2 + n + 4) / 2] < 105
90 < (3n + 6) / 2 < 105
3n + 6 > 180 and 3n + 6 < 210
n > 58 , n < 68
58 < n < 68 answer
2(y-4)+5=3(y+2)
multiply the first bracket by 2
(2)(y)=2y
(2)(-4)=-8
multiply the second bracket by 3
(3)(y)=3y
(3)(2)=6
2y-8+5=3y+6
2y-3=3y+6
move 3y to the other side
sign changes from +3y to -3y
2y-3y-3=3y-3y+6
-y-3=6
move -3 to the other side
-y-3+3=6+3
-y=9
multiply both sides by -1 to get +y
(-1)(-y)=9(-1)
Answer:
y=-9
In the ratio, the numbers are 2 for the shortest side, 3 for the middle sized side, and 4 for the longest side.
2 is to 6 cm as 4 is to x
2/6 = 4/x
2x = 4 * 6
2x = 24
x = 12
Answer: The longest side measures 12 cm.
Out of your $67 for the day, $40 of it goes to the rental before you even drive it out of the lot. That leaves you $27 a day for mileage.
$27 / $0.18 per mile = <u>150 miles</u> per day, tops.
