Answer:
Step-by-step explanation:
Answer: it will take 17.5 years to double his money in the account.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $500
A = 500 × 2 = $1000
r = 4% = 4/100 = 0.04
n = 4 because it was compounded 3 times in a year.
Therefore,.
1000 = 500(1 + 0.04/4)^4 × t
1000/500 = (1 + 0.01)^4t
2 = (1.01)^4t
Taking log of both sides, it becomes
Log2 = 4tlog 1.01
0.301 = 4t × 0.0043 = 0.0172t
t = 0.301/0.0172
t = 17.5 years
Multiply, because the total price is ten percent more than the original: $75 x 1.1 = <span>$82.5</span>
Hi friend,
Converting mixed numbers to fractions<span>, our initial equation becomes,
</span>
11/4 x 11/6
Applying the fractions formula for multiplication<span>,
</span>
11 x 11 --> 121
-----
4 x 6 ------> 24
Simplifying 121/24<span>, the answer is:</span>
5 1/24
Hope this helped
Answer:
Equation of movement y(t)

Amplitude: 1 inch
Period: 0.628 seconds
Step-by-step explanation:
If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

The period depends on the mass and the spring constant.
The formula for the period is:

The model y(t) for the movement of the mass-spring system is

The function of the relationship above is y=5x+4