(15a^4 - 30a^5 )/5a^2
= 5a^2(3a^2 - 6a^3) / 5a^2
= 3a^2 - 6a^3
or
= - 6a^3 + 3a^2
Answer:x=3
Step-by-step explanation:
-5x=-15
divide by -5
x=3
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , thus
y = 180° - (55 + 41)° = 180° - 96° = 84°
z and y are adjacent angles and supplementary, thus
z = 180° - 84° = 96°
x and 109° are alternate exterior angles and congruent, thus
x = 109°
Answer:
J Compound interest; $298.65
Step-by-step explanation:
Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.
For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...
1.051^4 = 1.22024337
and the effective multiplier for simple interest is ...
1 +0.051·4 = 1.204
Then the difference in interest rate multiplier for the 4-year period is ...
1.22024337 -1.204 = 0.01614337
That fraction of the $18500 principal is $298.65.
Compound interest earns $298.65 more than simple interest in this scenario.
Hope this helps, have an amazing day!
