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
Answer: 5
One half of 10 is 10/2 or 1/2(10)
10/2 = 5
1/2(10) = 5
Answer:
4.08 + 2 = 6.08 years
Step-by-step explanation:
we know that
Simple Interest(S.I.) = (P × R × T) ÷ 100
where, P = Principal = 750
R = Rate = 6%
T = unknown
⇒ S.I. = (750 × 6 × t)÷ 100
⇒ S.I. = 45t
Also, Amount = S.I + Principal
⇒ Amount = 750 + 45t
Now Formula for Compound Interest is:

where A = Amount
=1000
P = Principle
r = rate
t = total number of year
Here, P = 750 + 45t, r = 3.5% , and t = 2.
Putting all these values in above formula:

⇒ 
⇒ t = 4.08
Hence, total time required will be 2 + 4.08 = 6.08 years.
S= a/4 + 8u
S - 8u = a/4 (First you subtract 8u from both sides)
4(S - 8u) = a ( Then you multiply both sides by 4)
Final answer:
4(S - 8u) = a