Answer Interest rate = 12.3%
The compound interest formula is given by:
Where
A = Future amount
P = Present amount (Principal amount)
r = Interest rate in decimal form
n = No. of times compounded per year
t = time in years.
We can say that if:
Present amount = P
Future amount = 3P
r = 12.3/100 = 0.123
n = 1
t = ?
Substitute the values in the formula of compound interest:
Taking log on both sides.
Round off to nearest option
t ≅ 9 years
Answer:
Step-by-step explanation:
3c + 5w = 16
6c + 2w = 22
-6c - 10w = -32
6c + 2w = 22
-8w = -10
w = 10/8 = 5/4 = $1.25 per lb
3c + 5(1.25) = 16
3c + 6.25 = 16
3c = 9.75
c = $3.25 per lb
Total money before purchasing = $30
Cost of each song = $1.20
Solution:
According to the table,
No. of songs Amount
2 27.60
3 26.40
4 25.20
Difference between amount she have after bought 3 songs to 2 songs:
27.60 – 26.40 = 1.20
Difference between amount she have after bought 4 songs to 3 songs:
26.40 – 25.20 = 1.20
So, the cost of each song = $1.20
Amount of money she had after purchasing one song = $27.60 + $1.20
= $28.80
Tasha initially had before purchasing songs = $28.80 + $1.20
= $30
Hence Tasha initially had $30 before purchasing songs and the cost of each song was $1.20.
Step-by-step explanation:
Since we have given that
By using logarithmic on both sides we get,
(∵ 
)
Now, differentiating on both sides ,we get,
