Answer:
69
Step-by-step explanation:
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<u>We are given:</u>
The function: y = -16t² + 64
where y is the height from ground, t seconds after falling
<u>Part A:</u>
when the droplet would hit the ground, it's height from the ground will be 0
replacing that in the given function:
0 = -16t² + 64
16t² = 64 [adding 16t² on both sides]
t² = 4 [dividing both sides by 16]
t = 2 seconds [taking square root of both sides]
<u>Part B:</u>
for second droplet,
height from ground = 16 feet
time taken = t seconds
acceleration due to gravity = 10 m/s²
initial velocity = 0 m/s
h = ut + (1/2)at² [second equation of motion]
16 = (0)(t) + (1/2)(10)(t²)
16 = 5t²
t² = 16/5
t = 1.8 seconds (approx)
Therefore, the second droplet takes the least amount time to hit the ground
Given:
x y
0 40
4 120
y = fixed amount + v(x)
y = 40 + v(0)
y = 40
y = 40 + v(x)
120 = 40 + v(4)
120 - 40 = v(4)
80 = v(4)
80/4 = v
20 = v
y = 40 + 20x
The fixed amount charged is 40.
The variable amount is 20 per day.
Sum of angles of a triangle = 180
a+b+c=180
a + (5a) + (4a-13) = 180
Simplify and solve for a:
10a-13=180
10a=193
a=19.3
b=5*19.3=96.5
c=4*19.3-13=77.2-13=64.2
Check: a+b+c=19.3+96.5+64.2=180 ok.
Answer: $742.20
Step-by-step explanation:
The payments will be divided between an interest and a principal payment.
The interest payment will be based on the balance at the beginning of the period and the rest of the payment will be the mortgage.
Balance at beginning of period = $72,000
Interest payment = (3.13% * 72,000) / 12 months
= $187.80
Amount going towards principal:
= Total payment - Interest payment
= 930 - 187.80
= $742.20
