Answer:
Principal = 3500
Time = 8 years
We are given that compound quarterly
So, No. of compounds per year = 2
Rate of interest = 5%
Formula :
Substitute the values :
Interest = 3863.345 - 3500 = 363.345
Hence the total amount in an investment of $3500 that was compounded quarterly for 8 years at a rate of 5% is $3863.345 and the interest that was made on that account mentioned is $363.345
Answer:
-0.69 feet per second
Step-by-step explanation:
We have dx/dt = 2 ft/sec, and we want to determine dy/dt.
x and y are related by the Pythagorean Theorem.
x²+y²=16²
Differentiate both sides of this equation with respect to t to get
Divide both sides by 2y
When x = 5 ft, we have
x²+y²=16²
5²+y²=256
y²=256-25=231
therefore
y=
=-0.69
The top of the ladder is sliding down (because of the negative sign in the result) at a rate of -0.69 feet per second.
