In this case, you can multiply both sides by 4 to get rid of the 1/4 real quick.
4[1/4(8x+16=4x]
8x+16=16x
8x=16
x=2
The number of years is 4.781 in which $21,136.18 amount to $75,514.55 at 27.54% per annum when compounded quarterly and this can be determined by using the formula of the compound interest.
Given :
- Principal amount = $21136.18
- Final amount = $75514.55
- Interest rate per annum = 27.54%
- Compounded quaterly.
The formula of the compound interest is given by:

where A is the final amount, P is the principal amount, r is the interest rate, t is the time in years, and 'n' is a number of times interest applied.
Now, substitute the values of known terms in the above formula.


Now, take the log on both sides.

19.1237 = 4t
t = 4.781 years
Therefore, the correct option is B).
For more information, refer to the link given below:
brainly.com/question/14295570
Answer:
(1, 9)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m =
and (a, b) = (- 7, 5), hence
y - 5 =
(x + 7)
y - 5 =
x + 
y =
x +
← equation of line
To find another point on the line choose any value of x and substitute into the equation for the corresponding y- coordinate
x = 1 : y =
+
= 9
Thus (1, 9) is another point that the line passes through
Answer:
3 =x
Step-by-step explanation:
The sides are all equal length
x+5 = 3x-1
Subtract x from each side
x+5 -x = 3x-1 -x
5 = 2x-1
Add 1 to each side
5+1 = 2x-1+1
6 = 2x
Divide by 2
6/2 = 2x/2
3 =x