Answer:
16,249 years old
Explanation:
The exponential decay model for carbon-14 is given below:
The paint contained 14% of the original carbon-14.
• A=14% = 0.14
,
• Ao = 100% = 1
The paintings are approximately 16,249 years old.
$161.50
Step-by-step explanation:
4.25% of $3800 is $161.50
The slope of the line is 2 if that is what you're looking for
27+3x-31=20
-4+3x=20
+4 +4
3x=24
X=8
Let's represent the two numbers by x and y. Then xy=60. The smaller number here is x=y-7.
Then (y-7)y=60, or y^2 - 7y - 60 = 0. Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:
discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191. Because the discriminant is positive, this equation has two real, unequal roots, which are
-(-7) + sqrt(191)
y = -------------------------
-2(1)
and
-(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
-2(1)
Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.
Try thinking this way: If the LCM is 60, then xy = 60. What would happen if x=5 and y=12? Is xy = 60? Yes. Is 5 seven less than 12? Yes.
