Answer:
16% or 4/25
Step-by-step explanation:
16 + 5 = 21
25 - 21 = 4
4/25 = 16%
This is right because 21/25 is 84% and 84% + 16% = 100%
Answer:
She will have $73.5 in 1 year
Step-by-step explanation:
She has $70 and the interest rate is 5% so we need to add 5% to the initial value
x = $70 + $70 * 5%
5% = 5/100
x = $70 + $70 * 5/100
x = $70 + $3.5
x = $73.5
She will have $73.5 in 1 year
Jean's car :
(12 1/2) / (5/12) =
(25/2) / (5/12) =
25/2 * 12/5 =
150/5 =
30 miles per gallon
Miranda's car :
(20 5/7) / (5/7) =
(145/7) / (5/7) =
145/7 * 7/5 =
145/5 =
29 miles per gallon
most fuel efficient is Jean's car....it gets 30 miles per gallon
<span>(5+2 i)(4-3i) - (5-2yi)(4-3i)
Factorize out (4 -3i)
(4 -3i)( (5 +2i) - (5 -2yi) )
= </span><span><span>(4 -3i)(5 +2i - 5 + 2yi)</span>
= </span><span><span>(4 -3i)(5 - 5 + 2i + 2yi)</span>
= (4 -3i)(2i + 2yi)
= (4 - 3i)(2 + 2y)i. Let's multiply the first two.
</span>
(4 - 3i)(2 + 2y) = 2*(4 -3i) + 2y*(4 - 3i)
= 8 - 6i + 8y - 6yi
= 8 + 8y - 6i - 6yi
(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i Note: i² = -1
= 8i + 8yi - 6i² - 6yi²
= 8i + 8yi - 6(-1) - 6y(-1)
= 8i + 8yi + 6 + 6y
= 6 + 6y + 8i + 8yi
= (6 + 6y) + (8 + 8y)i In the form a + bi
Answer:
solution is
[-3,-1]
Step-by-step explanation:
we are given
Firstly, we will find critical values
so, let's assume it is equal
now, we can break absolute sign
For 
:
we can solve for x
Add both sides by 20
Divide both sides by -10
and we get
For 
:
we can solve for x
Subtract both sides by 20
Divide both sides by 10
and we get
so, critical values are
now, we can draw a number line and locate these values
and then we can check inequality on each intervals
For 
:
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-5
so, this is FALSE
For ![[-3,-1]](https://tex.z-dn.net/?f=%5B-3%2C-1%5D)
:
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-2
so, this is TRUE
For 
:
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=0
so, this is FALSE
so, solution is
[-3,-1]
