Answer:
The real number 'a' = 32
The real number 'b' = 0
Step-by-step explanation:
Product of a number of a number and its conjugate = a + bi
The number is = -4 + 4i
Conjugate of this number is = -4 - 4i
Product of the number and it's conjugate
= (-4 + 4i)(-4 - 4i)
= -4(-4 - 4i) + 4i(-4 - 4i) [By distributive property]
= 16 + 16i - 16i - 16i²
= 16 - 16(-1)
= 16 + 16
= 32
a + bi = 32 + (0)i
By comparing both the sides,
a = 32
b = 0
Answer:
$12.50
Step-by-step explanation:
divide
Company A: 23,000+(1,200x9)=33,800
Company B: 26,000+(800x9)=33,200
So, Company A pays $600 more than company B in year 10
To solve this, we are going to use the compounded interest formula:

where

is the final amount after

years

is the initial investment

is the interest rate in decimal form

is the number of times the interest is compounded per year

is the time in years
We know from our problems that she needs $20,857 for a down payment on a house in 9 years, so

and

. To convert the interest rate to decimal form, we are going to divide the rate by 100%

Since the interest is compounded quarterly, it is compounded 4 times per year; therefore,

.
Lets replace the values in our formula to find

:





We can conclude that the correct answer is: <span>
B. 17,633.17</span>