Prime factors of 42: 2x7x3
prime factors of 126: 2x3x3x7
prime factors of 210: 7x3x5x2
now we multiply all the factors that they all have in common: 2x3x7 which is 42. So the highest common factor is 42
I=PRT
I=interst
P=invested amount
R=rate in decimal
T=time in years
given
P=680
R=3.5%=0.035
T=6
I=680*0.035*6
I=142.8
that is interest
total is interest+principal=680+142.8=822.8
after 6 years, $822.80 is in the account
Answer:
<h2>
300 + 69x</h2>
Step-by-step explanation:
Given initial population of animals = 300 animals
If the population increases by 23% annualy, yearly increment will be expressed as:
Yearly increment = 23% of 300
Yearly increment = 0.23*300
Yearly increment for = 69
Let the total number of years of be x
Increment after x years = 69x
Increase in population of animals after x years with an annual rate of 23% = Initial population + Increment after x years
= 300 + 69x
<em>Hence, the equation represents a population of 300 animals at the increase and an annual rate of 23% is expressed as 300 + 69x</em>
<span>i think you mean discriminant in part A
</span>
Δ=b^2-4ac=256-4*2*3=256-24=232
it is positive so it has two answers.
Part B
you can find Δ
Δ=b^2-4ac=9-4*9*(-2)=81
x1=-3+9/18=6/18=1/3
x2=-3-9/18=-12/18=-2/3
Plug in each possible value into the equation.
when m = 5
2k = m + 3
2k = (5) + 3
Simplify
2k = 8
isolate the k, divide 2 from both sides
2k/2 = 8/2
k = 8/2
k = 4
When m = 5, k = 4
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2k = m + 3
when m = 7
2k = (7) + 3
2k = 10
2k/2 = 10/2
k = 10/2
k = 5
when m = 7, k = 5
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2k = m + 3
When m = 9
2k = (9) + 3
2k = 12
2k/2 = 12/2
k = 12/2
k = 6
when m = 9, k = 6
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hope this helps
