Listed price = $1.4 million
Down payment = 20% of $1.4 million = 0.2 x 1,400,000 = 280,000
Amount left to pay = $1.4 million - 280,000 = $1,120,000
Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) / r
where: PV = $1,120,000
r = 5% = 0.05
t = 12
n = 30 years.
1,120,000 = P(1 - (1 + 0.05/12)^-(12 x 30)) / 0.05
1,120,000 x 0.05 = P(1 - (1 + 1/240)^-360)
56,000 = P(1 - 0.2238)
P = 56,000 / 0.7761 = 72,148.83
Therefore, the monthly payment is $72,148.83
What is the area of the triangular base?
8 square feet
What is the length of edge DF?
4 feet
Annually: Total Amount= $1,611.76 Interest Amount= $711.76
Semiannually: Total Amount= $1,625.50 Interest Amount= $725.50
Quarterly: Total Amount= $1,632.62 Interest Amount= $732.62
Answer:
Fernando incorrectly found the product of –2 and –5.
Step-by-step explanation:
Fernando evaluated the numerator of the fraction incorrectly.
Fernando simplified StartFraction 20 over 2 EndFraction incorrectly.
Fernando incorrectly found the product of –2 and –5.
Fernando evaluated (negative 3) squared incorrectly.
Fernando's calculation
5(9-5) / 2 + (-2)(-5) + (-3)^2
= 5(4) / 2 - 10 + 9
= 20/2 - 10 + 9
= 10 - 10 + 9
= 9
Correct calculation
5(9-5) / 2 + (-2)(-5) + (-3)^2
= 5(4) / 2 + (10) + 9
= 20/2 + 10 + 9
= 10 + 10 + 9
= 29
Therefore,
Fernando's error was multiplying (-2)(-5) to be equal to -10 instead of 10
Fernando incorrectly found the product of –2 and –5.
Jim’s statement is correct for all numbers greater than or equal to 0. It does not work for negative numbers. For example, the floor of –3.5 is –4, where –4 is not equal to –3, the number before the decimal point. Hope this helps!
Thanks!
-Charlie