Answer:
- x + y ≤ 20,000
- y ≤ 5,000
- x ≥ 2y
Step-by-step explanation:
Given:
Total amount = $20,000
Assume
Government bonds = x
Municipal bonds = y
Computation:
1. Invest total money
x + y ≤ 20,000
2. invest no more than $5,000 into municipal bonds
y ≤ 5,000
3. at least twice as much into government bonds.
x ≥ 2y
Answer:
C. 1.214
Step-by-step explanation:
P(t) = 2 + 5 tan⁻¹(t/2)
When P(t) = 6, the value of t is:
6 = 2 + 5 tan⁻¹(t/2)
4 = 5 tan⁻¹(t/2)
4/5 = tan⁻¹(t/2)
tan(4/5) = t/2
t = 2 tan(4/5)
t ≈ 2.059
The instantaneous rate of change of P(t) is dP/dt:
dP/dt = 5 / (1 + (t/2)²) × 1/2
dP/dt = 5 / (1 + t²/4) × 1/2
dP/dt = 20 / (4 + t²) × 1/2
dP/dt = 10 / (4 + t²)
At t = 2.059:
dP/dt ≈ 1.214
Here's a graph:
desmos.com/calculator/7leerprg4i
Distance (s) = Velocity (v) x time (t)
if v = 8 kmh, t=5hr
s= 40 km covered each day
total distance = 4108.72km
4108.72/40 = 102.7
Hence it would take Davis 103 day to run from San Francisco to Albany.
Start by getting like terms to one side.
x/9 - x/10 = -4
now make the fractions have a common denominator so that you can subtract
10x/90 - 9x/90 = -4
now simplify
x/90 = -4
now multiply each side by 90 to get rid of the fraction
x = -360
to check, just plug in the value of x into your original equation
it should come out to
-40 = -40