Answer:
3602.
Step-by-step explanation:
The formula is:
Population after n years = 2000( 1.04)^n
After 15 years the population will be 2000(1.04)^15
= 3602.
Vector a = (2, 1, 2)
Vector b = (1, 2, 4)
Vector p = (k, k, k)
Vector a to vector b = vector b - vector a = (1, 2, 4) - (2, 1, 2) = (1 - 2, 2 - 1, 4 - 2) = (-1, 1, 2)
Vector a to vector p = vector p - vector a = (k, k, k) - (2, 1, 2) = (k - 2, k - 1, k - 2)
Vector a to b is perpendicular to vector a to p if the dot product of vector a to vector b and vector a to vector p is equal to zero.
i.e. (-1, 1, 2) . (k - 2, k - 1, k - 2) = 0
-1(k - 2) + (k - 1) + 2(k - 2) = 0
-k + 2 + k - 1 + 2k - 4 = 0
2k -3 = 0
2k = 3
k = 3/2
f(x)=<span>3x. </span>Solution: If we take ln in both side of this equation and differentiate it, we get lnf(x)=ln3x. ∴ lnf(x<span>) = xln </span>3. ∴ d dx. (lnf(x<span>)) = d dx. (xln </span>3<span>).</span>
Answer: 4,900,000
Step-by-step explanation:
5 million - 100 thousand = 4.9 million
Answer:
20(x+15.5)
Step-by-step explanation:
