You have to set up a ratio and solve
Answer:
Step-by-step explanation:
The area of the circle is 
The area of the triangle is 
Hence, the probability of a randomly selected point within the circle falls in the red shaded area is 
In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.
Substitute the known values to the equation,
An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32
Hence, the answer to this item is the third choice, -5/32.
Number of compounding periods is
n=12months×3years=36
I assume that
The total interest=
monthly payment×number of compounding periods - the amount of the present value of an annuity ordinary
I=x×n-pv
Let monthly payment be X
I =Total interest is 1505.82
The present value of an annuity ordinary is
Pv=X [(1-(1+0.09/12)^(-36))÷(0.09/12)]
now plug those in the formula of the total interest above
I=x×n-pv
1505.72=36X-X [(1-(1+0.09/12)^(-36))÷(0.09/12)]
Solve for X using Google calculator to get the monthly payment which is
X=330.72
Check your answer using the interest formula
36×330.72−330.72×((1−(1+0.09
÷12)^(−12×3))÷(0.09÷12))
=1,505.83
If we simply it, then it would be
3 + 2x + 6 + x = 15, which equals
3x + 6 + 3 = 15,
3x + 9 = 15,
if we subtract 9 from 15, we get 6. If we divide 3x by 3, and 6 by 3, we get 2.
Therefore x = 2, and we know there is a 10/15 chance to get a humbug, or a 1/3 chance.
Hope this helped.
