Number of combinations possible = 4! / 2! 2! = 6
Each of these has probability 1/2*1/2*1/2*1/2 = 1/16
Required probability = 6 * 1/16 = 3/8
P=1560000
APR=5.6%
monthly interest, i=5.6%/12=7/1500 [fractions keep exact values]
R=1+i=1+7/1500
# of periods, n=30 years = 360 periods
monthly payment, A
A=PR^n(i)/(R^n-1)
=1560000*(1+7/1500)^360*(7/1500)/((1+7/1500)^360-1)
=$8955.632
At the end of eight years,
number of periods, n1 = 8*12 = 96
If paid off at the end of 8 years, value of loan then
future value of principal
F1=PR^n1=1560000*(1+7/1500)^96=2439135.635
future value of payments
F2=A(R^n1-1)/i=8955.632*(1+7/1500)^96-1)/(7/1500)=1081485.620
Therefore the balloon payment
= future value of principal (owing) - future value of payments (paid)
=F1-F2
=2439135.635-1081485.620
=1357650.0152
Round to two places after decimal to get final answer.
Answer:
See below ~
Step-by-step explanation:
<h3>What is the rat population in 1993?</h3>
⇒ Number of years since = 0 ⇒ <u>t = 0</u>
⇒ Apply in the formula
⇒ n(0) = 73e^(0.02 × 0)
⇒ n(0) = 73e⁰
⇒ n(0) = 73,000,000 rats
=============================================================
<h3>
What does the model predict the rat population was in the year 2009?</h3>
⇒ Number of years since 1993 : 2009 - 1993 = 16 ⇒ <u>t = 16</u>
⇒ Applying in the formula
⇒ n(16) = 73e^(0.02 × 16)
⇒ n(16) = 73e^(0.32)
⇒ n(16) = 73 × 1.37712776 × 10⁶
⇒ n(16) = 100.530326 x 10⁶
⇒ n(16) = 100,530,326 rats
14 / (2/7)...when dividing with fractions, flip what u r dividing by, then multiply
14 * 7/2 =
98/2 =
49 <==
5%=1hour
100% =?
100×1/5
20 hours
for it to double it needs to replicate itself by100%
