1777.92207792207792. Hope it helps! :)
Answer:
four less than the quotient of a number cubed and seven, increased by three
five times the difference of a number squared and six
nine more than the quotient of six and a number cubed, decreased by four
twice the difference of nine and a number squared
Step-by-step explanation:
Let n the number of interest we have this:
four less than the quotient of a number cubed and seven, increased by three
five times the difference of a number squared and six
nine more than the quotient of six and a number cubed, decreased by four
twice the difference of nine and a number squared:
First eliminate the opposites, which is 4 and -4.
(9x2) ÷ (4-2)
18 ÷ (4-2)
18 ÷ 2
= 9
Answer:
11. x = -3+√37 ≈ 3.08276
12. x = 11.2
13. x = -6 +6√5 ≈ 7.41641
Step-by-step explanation:
In each case, the relation of interest is ...
(distance to circle near) × (distance to circle far) = (distance to circle near) × (distance to circle far)
When there is only one point of intersection of the secant with the circle—because it is a tangent—then the product is the square of the length of the tangent.
11. 2(2+12) = x(x +6)
x² +6x -28 = 0
(x +3)² -37 = 0
x = -3+√37 ≈ 3.08276
12. 5(5+x) = 9(9)
5x +25 = 81
x = 56/5 = 11.2
13. x(x +12) = 12(12)
x² +12x -144 = 0
(x +6)² -180 = 0
x = -6 +√180 ≈ 7.41641
_____
<em>Comment on this secant rule</em>
This rule turns out to apply whether the point of intersection of the secant lines is outside the circle (as in these problems) or inside the circle (as in problem 9). The product of the two distances from the point of intersection to the circle is a constant for a given pair of intersecting secants/chords.
Answer:
FV= $1,545
Step-by-step explanation:
Giving the following information:
Elena deposits $1,500 in a savings account that earns 3.0% simple interest per year.
<u>To calculate the nominal value of the account after one year, we need to use the following formula:</u>
FV= (P*r*t) + P
FV= future value
P= principal
r= interest rate
t= 1
FV= (1,500*0.03*1) + 1,500
FV= $1,545