It cost Evan $17.70 to send 177 text messages. How many text messages did he send if he spent $19.10?
1 answer:
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Answer:
The continuous yearly interest is 22.5% per year.
Step-by-step explanation:
Continuous yearly interest:
Continuous yearly interest is defined as the sum of the interest comes from principle and the interest comes from interest.
The formula for continuous interest yearly is
where A = The final amount =$110,000
P= principle =$4,700
r= rate of interest
t= time (in year)= 14 years
Taking ln both sides
(approx)
The continuous yearly interest is 0.225 = 22.5% per year.
The correct answer is d.
We have the following system of linear equations:
(I)
(II)
Let's use the elimination method, then let's multiply the equation (1)
and subtracting (I) and (II):
(I)
∴
(I)
(II)
____________________
(III)
∴
We can find the value of x by substituting y either in (I) or (II). Thus, from (I):
∴
∴
∴
∴
Let's substitute the values of x and y into (I) and (2)
(I)
(II)
Finally the answer is:
We have the following system of linear equations:
(I)
(II)
Let's use the elimination method, then let's multiply the equation (1)
(I)
∴
(I)
(II)
____________________
(III)
∴
We can find the value of x by substituting y either in (I) or (II). Thus, from (I):
∴
∴
∴
∴
Let's substitute the values of x and y into (I) and (2)
(I)
(II)
Finally the answer is: