Answer:
The amount becomes $6964.53 after 3 years .
Step-by-step explanation:
Formula

Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .
As given
Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .
P = $6000
5% is written in the decimal form.

= 0.05
r = 0.05
t = 3 years
Putting all the values in the formula




Therefore the amount becomes $6964.53 after 3 years .
Answer:
1. r = ![\sqrt[3]{\frac{3v}{4\pi } }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3v%7D%7B4%5Cpi%20%7D%20%7D)
divide v by 4/3, this is the same as multiplying v by 3/4 so you have 3v/4
then divide v by
so you now have 3v/4
then get rid of the ^3 on r by putting the solution for r under a ∛
2. a) The equation might need to be written in terms of a because you may not know the value of a, but you know the value of everything else. If this is the case then you can simply rewrite the equation so that you can plug it all into a calculator and avoid certain possible errors.
b)
s = ut + 1/2 
subtract ut from both sides: s - ut = 1/2 
multiply both sides by 2: 2(s - ut)
divide both sides by
:
= a
answer: a = 
I'm not entirely sure about b) for question 2 so you might wanna double check that with a friend
p(x)=
-
+ 800x - 1599
given x = a is a zero of a polynomial p (x) then
(x - a) is a factor of the polynomial
complex zeros occur in conjugate pairs
5 + 4i is a zero hence 5 - 4i is a zero
factors are (x - 3),(x + 13),(x - (5 + 4i) and (x - (5 - 4i)
The polynomial is the product of it's factors
p(x) = (x - 3)(x + 13)(x - (5 + 4i)(x - (5 - 4i)
expanding the factors
p(x) = (
+ 10x - 39)(
- 10x + 41)
=
-
+ 800x - 1599
Step-by-step explanation:
<em>given</em><em>,</em>
<em>length</em><em> </em><em>=</em><em> </em><em>4</em><em>x</em><em>²</em>
<em>breadth</em><em>/</em><em>width </em><em>=</em><em> </em><em>y²</em>
<em>we </em><em>know</em><em>,</em>
<em>perimeter</em><em> </em><em>=</em><em> </em><em>2</em><em>l</em><em> </em><em>+</em><em> </em><em>2</em><em>b</em>
<em>so,</em>
<em>2</em><em>(</em><em>4</em><em>x</em><em>²</em><em>)</em><em> </em><em>+</em><em> </em><em>2</em><em>(</em><em>y²</em><em>)</em>
<em>→</em><em> </em><em>8</em><em>x</em><em>²</em><em> </em><em>+</em><em> </em><em>2</em><em>y²</em>
<em>option </em><em>A </em><em>is </em><em>correct</em>
<em>hope </em><em>this</em><em> answer</em><em> helps</em><em> you</em><em> dear</em><em>.</em><em>.</em><em>.</em><em>take </em><em>care </em><em>and </em><em>may</em><em> u</em><em> have</em><em> a</em><em> great</em><em> day</em><em> </em><em>ahead!</em>