Answer: 13.29%
Step-by-step explanation:
The formula to calculate the compound amount (compounded continuously) is given by :-
, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.
Given : P= $ 35,000 , A= $257,000 and t=15 years
To find : r , we substitute all the values in the above formula , we get
Taking natural log on both the sides , we get
Hence, the annual interest rate = 13.29%
Answer: 
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If 
, the function is translated up "k" units.
If 
, the function is translated down "k" units.
If 
, the function is reflected across the x-axis.
If 
, the function is reflected across the y-axis.
Therefore, knowing those transformations and given the exponential parent function:
If it is reflected across the y-axis and the it is translated down 4 units, we can determine that the resulting function is:
Answer:
d
Step-by-step explanation:
Volume can be described as the total amount of space that is in a closed surface. this amount of space is usually three dimensional. Volume is usually measured in m³ or cm³ or in³
For example, the volume of a rectangular box given the following dimension : length - 3cm
breadth - 8cm
height - 10 cm
volume = length x width x height = 8 x 3 x 10 = 240 cm³
Answer:
w = 4
Step-by-step explanation:
1. Isolate the variable by adding 9 to both sides
--> 4w = 16
2. Divide each side by 4
--> w = 4
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Thank you!
If you add the standard deviation to the average, it is 14.84. Because Marcus's score was lower than that, he will not receive a certificate.
I think this should be right for the reason and the calculation.
