9514 1404 393
Answer:
19 years
Step-by-step explanation:
The compound interest formula tells you the future value of principal P invested at annual rate r compounded n times per year for t years is ...
A = P(1 +r/n)^(nt)
Solving for t, we get ...
t = log(A/P)/(n·log(1 +r/n))
Using the given values, we find t to be ...
t = log(2.13022)/(4·log(1 +0.04/4)) ≈ 19.000
The investment will be worth $213,022 after 19 years.
Q 16. The energy is 308.7 J.
Q 17. The energy is 896000 J.
Step-by-step explanation:
Q 16. Given,
Mass (m) of the carriage and baby = 1.5 kg
Height (h) = 21 m
To find the energy.
We will find the potential energy as it rests at the top.
Formula
Potential energy = mgh where g be the gravitational force of the earth = 9.8m/s²
So,
Energy = 1.5×9.8×21 J
= 308.7 J.
Hence,
The energy is 308.7 J.
Q 17. Given,
Mass (m) = 1120 kg
Speed (v) = 40 m/s
To find out the energy.
We will find out the kinetic energy as the car is in motion.
Formula
Kinetic energy =
mv²
So,
Energy =
×1120×40² J
= 896000 J
Hence,
The energy is 896000 J.
Answer:
4.5
Step-by-step explanation: