75000. one hundread thousand more would be 100,000 more that what is given making it 175,000
1. (x^2+1)*(x^3+2*x)*(x^2-64)
=(x^2+1)*x*(x^2+2)*(x+8)(x-8)
Solving for each factor in turn, for example,
x^2+1=0 => x^2=-1 => x=+i, x=-i
x=0 => x=0
x^2+2=0 => x^2=2 => x=+sqrt(2)i, -sqrt(2)i
x+8=0 => x=-8
x-8=0 => x=+8
we have solution set
S, whereS={+i, -i, 0, +sqrt(2)i, -sqrt(2)i, -8, +8)
2. A.
x^4-81=0 => x^4=81 => x^2=+9 or x^2=-9
x^2=+9 => x=+3, -3
x^2=-9 => x=+3i, -3i
S={+3i, -3i, +3, -3}
B.
x^4+10x^2+25=0 => (x^2+5)^2=0 => ± (x^2+5)=0 => x^2=-5
=> x=+sqrt(5)i (multiplicity 2 and x=-sqrt(5)i (multiplicity 2)
S={+sqrt(5)i (multiplicity 2) -sqrt(5)i (multiplicity 2)}
C.
x^4-x^2-6=0 => (x^2-3)(x^2+2)=0 => x^2=3 or x^2=-2
S={+sqrt(2)i,-sqrt(2)i, +sqrt(3), -sqrt(3) }
3.
x^4+3x^2-4=0 = (x^2-1)(x^2+4) => x^2=1 or x^2=-4
S={+2i, -2i, +1, -1}
The equation that represents the situation, in point-slope form, is:
<em><u>Recall:</u></em>
- If we know the slope and a point (a pair of values), a linear equation can be written in the point-slope form as: .
- In , m = slope; = a point or pair of values on a table.
- Using two points or pairs of values,
Thus, we are given the table as shown below (see attachment).
The slope, using (3, 49) and (5, 65) is calculated below:
To write the equation in point-slope form, substitute = (5, 65) and m = 8 into .
Learn more about linear equation in point-slope form here:
brainly.com/question/19782277
With simple interest, interest is calculated based on the original deposit only. The amount of interest earned in 1 year does not affect the amount of interest earned in following years.
With compound interest, interest is "compounded" or added a specific number of times per year. After the interest is added, the next time it is calculated, the amount is based on the total amount in the account.
For example, if we deposit $100 at 2% compound interest that is compounded yearly, the first year our interest would be 0.02(100) = $2. Before the interest is calculated the next year, this $2 is added to the account, making it $102. This is the value we use to calculate the next year's interest: 0.02(102) = $2.04.
Because of this, compound interest grows more quickly.