Answer and Step-by-step explanation:
Solution:
Statement:
If two planes intersect their intersection is a line.
Suppose that
P =if two planes intersect.
q = then their intersection is line.
¬p = if two planes do not intersect.
¬q = then their intersection is not a line.
Converse:
If two planes intersect their intersection is a line.
P → q
Inverse:
If two planes do not intersect, then their intersection is not a line.
¬p → ¬q
Contrapositive:
If two planes intersection is not a line, then they do not intersect.
¬q → ¬p
Answer:
a. $849.45
Step-by-step explanation:
In the above question, we are given the following information
Coupon rate = 10%
Face value = 1000
Maturity = n = 20 years
t = number of periods = compounded semi annually = 2
Percent yield = 12% = 0.12
Bond Value formula =
C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)
C = coupon rate × face value = 10% × 1000 = 100
Bond value:
= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2
= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40
= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)
= 50 × 15.046296872 + 97.222187709
= $849.45
Bond value = $849.45
Answer:
A) 
B) T = -5 °C
Step-by-step explanation:
A) Let T be the change in temperature of the week. T is determined as the total temperature change (-20°C) divided by the number of weeks that have passed (4 weeks). The expression is:
B) In order to simplify the expression, simply perform the division.
This means that the temperature has dropped by 5 degrees each week.
Answer:
6
Step-by-step explanation:
you will multiply 40 times .85 since the percent you move the period two times to the left you will get an answer of 34.
you will then subtract 34 out of the 40 and you will get the answer 6.
