Uta initially invest $353, if she withdraws $500 after six years with compound interest of 6% a year.
Step-by-step explanation:
The given is,
After six years she withdraws her total balance of $500
Interest rate 6 % a year ( compounded )
Step:1
Formula to calculate the future amount with an compound interest rate,
.............................(1)
Where, F - Future worth amount
P - Initial investment
r - Rate of interest
t - No. of years
Step:2
From the given,
F = $500
r = 6%
t = 6 years
Equation (1) becomes,
=
= P (1.41852)
= 352.48
≅ 353
P = $353
Result:
Uta initially invest $353, if she withdraws $500 after six years with compound interest of 6% a year.
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.
