Hey there.
4(2.1k - 4) = 6(3.4k - 2); apply the distributive property to remove the parenthesis.
8.4k - 16 = 20.4k - 12; Get the variable to one side, so subtract 8.4k.
-16 = 12k - 12; isolate the variable by adding 12.
-4 = 12k; divide by 12 to solve for our variable.
k = -1/3
I hope this helps!
Answer: 7.5²π square centimeters. OR 56.25π cm²
Step-by-step explanation:
Circumference = diameter × π
So the diameter is 15 cm
Area = πr²
Radius is half the diameter, so 15/2 or 7.5
Area = (15/2)²π cm²
Answer:
- 28 general admission
- 26 student
Step-by-step explanation:
Let g represent the number of general admission tickets sold. Then the revenue is ...
3g +2.50(54-g) = 149
.50g = 14 . . . . . . . . . . . subtract 135
g = 14/.5 = 28 . . general admission tickets sold
54-g = 26 . . . . . student tickets sold
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
The answer is the first option
