Answer:
0.08x = $5400-0.1x Add 0.1x to both sides of the equation.
0.18x = $5400 Divide both sides by 0.18
x = $3000 and $54000-$3000 = $24000
$3,000 is invested at 8%
$2,400 is invested at 10%
Step-by-step explanation:
Answer:
661.7 million
Step-by-step explanation:
Given the exponential model :
A = 661.7 e^0.011t
The general form of an Exponential model is expresses as :
A = A0 * e^rt
Where A = final value ; A0 = Initial value ; r = growth rate and t = time elapsed
From the question t = time after 2003
Therefore, A0 = initial population, which is the population in 2003
Therefore, A0 = 661.7
Or we could put t = 0 in the equation and solve for A
A = 661.7 e^0.011(0)
A = 661.7 * 1
A = 661.7
Hence, population in 2003 is 661.7 million
Answer:
-3q² + 3qp + 2rp - 2rq + Sq - Sp
Step-by-step explanation:
first part
3q(p-q) = 3qp - 3q²
second part
2r(p-q) = 2rp - 2rq
third part
S(q-p) = Sq - Sp
then we put it all together
3qp - 3q² + 2rp - 2rq + Sq - Sp
in the right place possibly
-3q² + 3qp + 2rp - 2rq + Sq - Sp
The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:
S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.
1) subtract 42.5 miles from 68 miles to find the gross change in distance: It is 25.5. Since this is a decrease, write -25.5 miles.
2) divide -25.5 miles by the original distance, 68 miles:
-0.375
3) multiply this by 100% to find the percentage decrease:
-37.5% (answer)
