Answer: a. 5/12 b. 10 hours
Step-by-step explanation:
5/8 x 2/3 = 10/24 = 5/12
she spends 5/12 of the day awake at home
if a day has 24 hours then 5/12 of that is 5/12 x 24 = 10
so she spends 10 hours awake at home
We need to know how much tax she must pay based on her taxable income ,
Since un the table it states that taxable incomes that range between $0-$132000have a tax rate of 18% of each $1 .
We already know her taxable income that is = 129000, which ranges between 0 and 132000.
Hence we know how much tax she must pay .
First , we need to calculate how much 18% of $1 is
= 18/100 x 1 = $0.18
Per annum/year = $0.18 x $129,000 = $23,220
Per month = $23,220 / 12 = $1,935
Hope you found this helpful , good luck !
Answer:
57.09
Step-by-step explanation:
Answer:
a = 3
Step-by-step explanation:
Calculate the distance d using the distance formula and equate to 4
d = 
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)
d = 
= 
= 
= a + 1 then
a + 1 = 4 ( subtract 1 from both sides )
a = 3
Answer:
The two solutions are 5 and 3
Step-by-step explanation:
The equation of the absolute has two solutions because IxI = a means x = a and x = -a
Let us solve the question using this fact
∵ I2x - 8I + 3 = 5
→ Subtract 3 from both sides
∴ I2x - 8I + 3 - 5 = 5 - 3
∴ I2x - 8I = 2
By using the fact above
→ 1st solution
∵ 2x - 8 = 2
→ Add 8 to both sides
∴ 2x - 8 + 8 = 2 + 8
∴ 2x = 10
→ Divide both sides by 2 to find x
∴ x = 5
→ 2nd solution
∵ 2x - 8 = -2
→ Add 8 to both sides
∴ 2x - 8 + 8 = -2 + 8
∴ 2x = 6
→ Divide both sides by 2 to find x
∴ x = 3
∴ The two solutions are 5 and 3
