Answer:
0.667 feet
Step-by-step explanation:
To get the total distance travelled, we would integrate the velocity v(t) equation with respect to time t.
Given that the particle moves from t = 0 to t = 2 seconds
Integrating v(t) = t2 - 1
we get
= t^3/3 - t
substituting the boundaries from t = 0 to t = 2 seconds, we get
= 2^3/3 - 2 - (0^3/3 - 0)
= 8/3 - 2 - 0
= 0.667 feet
Answer:
$265.65
Step-by-step explanation:
Given :
WACC: 9.00%
Year 0 1 2 3 Cash flows (-$1,000) $500 $500 $500
The NPV is calculated thus :
Initial cashflow + Σ additional cash flows / (1 + r)
Rate, r = 9% = 0.09
(1 + r) = (1 + 0.09) = 1.09
NPV = - 1000 + (500 / (1.09)¹ + (500 / 1.09)² + (500 / (1.09)³
NPV = - 1000 + 458.71559 + 420.83999 + 386.09174
NPV = 265.64732
NPV = 265.65 (2 DECIMAL PLACES)
Answer:
$2353 at 12.5% and $7647 at 8.25%
Step-by-step explanation:
I'll say a is the amount he invested in one market, and b is the amount in the other.
a + b = 10000, or b = 10000 - a
multiplying the investments with the percentages and adding them together will give the total earned interest.
(a × 0.125) + (b × 0.0825) = 925
0.125a + 0.0825b = 925
Use substitution to solve for a.
0.125a + 0.0825(10000 - a) = 925
0.125 a + 825 - 0.0825a = 925
0.0425a = 100
a = 2352.94
Use substitution to find b
b = 10000 - 2352.94
b = 7647.06
The questions are to the nearest dollar so round a and b.
$2353 and $7647
21x+14u-28would be the answer.
