Answer:
Option A earns higher interest($84115.58)
the difference in interest between the two option is $197.9
Step-by-step explanation:
In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns
Given data
Principal P= $43,000
Rate r= 6%= 0.06
time t= 3years
n= 4 (applicable for compound interest compounded quarterly)
solving for option A gives her 6% compounded quarterly
the compound interest formula is
Interest is 
=$8411.58
solving for option B which gives her 6% simple interest annually
the simple interest formula is
Interest is
= $8213.68
calculating the diference in interest between the two options we have
= $197.9
Option A earns higher interest
(a) By the fundamental theorem of calculus,
<em>v(t)</em> = <em>v(0)</em> + ∫₀ᵗ <em>a(u)</em> d<em>u</em>
The particle starts at rest, so <em>v(0)</em> = 0. Computing the integral gives
<em>v(t)</em> = [2/3 <em>u</em> ³ + 2<em>u</em> ²]₀ᵗ = 2/3 <em>t</em> ³ + 2<em>t</em> ²
(b) Use the FTC again, but this time you want the distance, which means you need to integrate the <u>speed</u> of the particle, i.e. the absolute value of <em>v(t)</em>. Fortunately, for <em>t</em> ≥ 0, we have <em>v(t)</em> ≥ 0 and |<em>v(t)</em> | = <em>v(t)</em>, so speed is governed by the same function. Taking the starting point to be the origin, after 8 seconds the particle travels a distance of
∫₀⁸ <em>v(u)</em> d<em>u</em> = ∫₀⁸ (2/3 <em>u</em> ³ + 2<em>u</em> ²) d<em>u</em> = [1/6 <em>u</em> ⁴ + 2/3 <em>u</em> ³]₀⁸ = 1024
Answer:
The real perimeter is:
And the area would be:
Step-by-step explanation:
For this case we know one side of a square given 6mm.
We can begin calculating the perimeter for the scale figure with this formula:
The area for this case is given by:
And we know that the drawing has a scale of 1 mm : 7 km and if we convert the perimeter to km we got:
And the area would be:
Answer:
4x^2 and 5x or 4 and 5, not sure how it goes, but it's for sure 4 and 5
Step-by-step explanation:
a factor is something which is multiplied by something else soooo I'd say it's 4x^2 and 5x because they are supposed to be multiplied by whatever x is
It simplifies to -6a^6b^2c^5+2a^2bc^6
