Answer:
t=0.57h
Step-by-step explanation:
Answer:
It takes 22.52 years for the balance to triple in value.
Step-by-step explanation:
Continuous compounding:
The amount of money earned using continuous compounding is given by the following equation:

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
Interest rate of 5%.
This means that
, and thus:



Time for the balance to triple?
This is t for which
. So







It takes 22.52 years for the balance to triple in value.
Answer:
<em>7, 22</em>
Step-by-step explanation:
Let S = the smaller number.
"The larger number is 1 more than 3 times the smaller number."
The larger number is 3S + 1.
The difference between the numbers is 15, so the larger number minus the smaller number equals 15.
3S + 1 - S = 15
2S + 1 = 15
2S = 14
S = 7
The smaller number is 7.
larger number = 3S + 1 = 3(7) + 1 = 21 + 1 = 22
The larger number is 22.
One pie costs 0.10
you are buying 40 pies so...
40 x 0.10 = $4
one cup of coffee costs 0.50
you are buying 20 coffee so...
20 x 0.50 = $10
$4 + $10 = $14
It costs $14 to buy 40 pieces of pie and 20 cups of coffee