Answer:
55years
Explanation:
According to the given expression
FV = P +Prt
P is the initial deposit = $1000
FV is the future value = 4(1000) = $4000
r is the rate = 5.5% = 0.055
Required
Time t
Substitute the given values into the expression as shown;
FV = P +Prt
4000 = 1000 + 1000(0.055)t
4000 - 1000 = 55t
3000 = 55t
Swap
55t = 3000
t = 3000/55
t = 54.5years
t = 55years
This means it will take the deposit of $1000 55years to quadruple
2(x+7) + x=20
(2)(x) + (2)(7) + x=20 Distribute
2x+14 + x =20
(2x+x) + (14) =20 Combine Like Terms
3x+14=20
- 14 -14 Subtract 14 from both sides
3x = 6
3x/3 6/3 Divide Both Sides by 3
x = 2
Let me know if you still don't understand
Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
<span>x^2 - 4x - 12 = 0
factors
(x - 6)(x + 2) = 0
</span>Set (x - 6) and (x + 2)<span> equal to </span><span>0</span><span> and solve for </span><span>xx</span>.<span>
x - 6 = 0; x = 6
x + 2 = 0; x = -2
answer
x = -2 or x = 6</span>
I think the answer is c sorry if I’m wrong
