Answer:

Step-by-step explanation:
Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be 
Because the sequence multiplies by 3 each time, The base number in that equation would be
.
So
of the equation would be:
.
Compare the 2 equations:
4, 12, 36
3, 9 ,27
The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is:
.
Combine these 2 equations together and you get:
.
Answer:
x=-4
Step-by-step explanation:
1. subtract 16 from both sides which leaves you left with
x=-4
Well, the numerator is the number on top, so in the fraction 3/5, 3 is the numerator. To find the equation with a denominator of 30 that is equivalent, find what the difference is. 30/5 = 6. So now, multiply the numerator by 6. 6 * 3 = 18. The new fraction is 18/30. The numerator is 18. Hope this helps!
Answer:

Step-by-step explanation:
![\sf x(4+5) = 54\\\\Applying \ distributive \ property\\\\(x*4) + (x*5) = 54\\\\Distributive\ Property\ is:\\\\A(B+C) = (A*B)+(A*C)\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%20x%284%2B5%29%20%3D%2054%5C%5C%5C%5CApplying%20%5C%20distributive%20%5C%20property%5C%5C%5C%5C%28x%2A4%29%20%2B%20%28x%2A5%29%20%3D%2054%5C%5C%5C%5CDistributive%5C%20Property%5C%20is%3A%5C%5C%5C%5CA%28B%2BC%29%20%3D%20%28A%2AB%29%2B%28A%2AC%29%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
1.75%
Step-by-step explanation:
The monthly interest rate is the interest amount divided by the base on which it is computed, expressed as a percentage.
$4.96/$283.15 × 100% ≈ 1.75172% ≈ 1.75%