Answer:
Michelle's age = 16
Step-by-step explanation:
As we know,
Amount = 
where
P = Principal amount
r = rate of interest
t = time
Given ,
P = $1000
r = 4.5 % = 
Now,
Given that Amount reaches more than $2000
⇒ > 2000
⇒
> 2000
⇒
> 2
Now,
we put the value of t from 0 , 1, 2, ..... untill the above equation does not satisfy
Now,
for t = 0
for t = 1
for t = 2
for t = 3
for t = 4
for t = 5
for t = 6
for t = 7
for t = 8
for t = 9
for t = 10
for t = 11
for t = 12
for t = 13
for t = 14
for t = 15
for t = 16
It satisfies at t= 16
∴ we get
Michelle's age = 16
Answer:
III. Addition and Multiplication
The perimeter of the pentagon with apothem of 5cm is 28.87cm
<h3>How to calculate the perimeter of a pentagon</h3>
The sum of all the external sides of the pentagon is its perimeter.
First we need to calculate the half of one of its sides using the SOH CAH TOA
tan 30 = x/5
x = 5 tan 30
x = 2.89
One of the sides = 2(2.89) = 5.77 cm
Perimeter of th pentagon = 5(5.77) = 28.87
Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm
Learn more on perimeter of pentagon here: brainly.com/question/11484726
force=mass times acceleration
the person exerts a constant downward force of 9.8*65=637N
in order for the elevator to accelerate upward at 1.2m/s^2, it has to provide a force of 1.2*65=78N
the total force needed is the sum of those 2 or 637+78 or 715N upward
part 2
elevator accelerates downards
so that will be the difference between the 2 forces or 637-78 or 559N upward
