Hello from MrBillDoesMath!
Answer:
r^4- 29r^2 + 100
Discussion:
Rearrange the terms in the product as follows:
(r+2)(r-2) * (r-5)(r+5) =
(r^2 - 4) * (r^2-25) =
f^4 - (25+4)r^2 + 4*25 =
r^4- 29r^2 + 100
Thank you,
MrB
Answer:
$215,892.50
Step-by-step explanation:
This is a problem of compound interest.
In compound interest Amount A for principal p charged at interest r% per annum is given by
A = p(1+r/100)^n
where n is the time period in years.
_____________________________
given
p = $100,000
r = 8%
t = 10 years
A= 100,000( 1+ 8/100)^10
A= 100,000( 1.08)^10
A = $215,892.50
So , you need to pay $215,892.50 in total to debt cleared of debt.
Answer:
18 and 65
Step-by-step explanation:
under 18 would be 17 and under, therefore not including 18 year olds. obviously they are not 19 yet either, so they wouldn't fall into either category, therefore they may be unsure of what to answer.
same with 65 year olds; they are more than 64 year old, but not yet /over/ 65, therefore they would not fit into either category either.
Answer:
i) Equation can have exactly 2 zeroes.
ii) Both the zeroes will be real and distinctive.
Step-by-step explanation:
is the given equation.
It is of the form of quadratic equation 
and highest degree of the polynomial is 2.
Now, FUNDAMENTAL THEOREM OF ALGEBRA
If P(x) is a polynomial of degree n ≥ 1, then P(x) = 0 has exactly n roots, including multiple and complex roots.
So, the equation can have exact 2 zeroes (roots).
Also, find discriminant D = 
⇒ D = 37
Here, since D > 0, So both the roots will be real and distinctive.
2a) if 1 ft³ weighs 150 lb==>the TOTAL VOLUME =5,000/150 =33.334 ft³
2b) 1 ft³ 1,728 in³. So the TOTAL volume in in³ =33.334 x 1728 = 57,600 in³
c) Volume =(1/3)(πR²).H but R = H then V= (1/3)(πR³).plug V (=57600)
57,600 = 1/3 (πR³) ==> R³ = (3 x 57600) / π ==> R = 38 in
d) Area x thickness = Volume ==> Area x 2 in = 57600 in then:
Are =57600/2 & Area =28,800 in²
