Answer:
C. 
Step-by-step explanation:
Iterative geometric sequence:
Recursive geometric sequence:
The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:
And so the answer is C.
Answer:
11/19
Step-by-step explanation:
Firstly, we need to know the total number of instructors. This is equal to 7+5+4+3 = 19 instructors.
The probability of selecting a science instructor is 4/19
The probability of selecting a math instructor is 7/19
The probability of selecting either a science or a maths instructor is 4/19 + 7/19 = 11/19
Answer:
The shaded region is 
.
Step-by-step explanation:
The area of a circle is defined by the multiplication of the square of its radius, or half its diameter, by pi, or simply 
.
15m is the radius of the large circle, and also the diameter of the smaller circles.
The area of the shaded region will be the subtraction of the area of the two smaller circles from the area of the larger circle.
As such:
Y=1/2x +0. You add the 2x to the other side, and then divide everything by 4 to have only 1y.
Answer:the balance after 7 years is $3216
Step-by-step explanation:
A) Initial amount deposited into the account is $2800 This means that the principal,
P = 2800
It was compounded yearly. This means that it was compounded once in a year. So
n = 1
The rate at which the principal was compounded is 4%. So
r = 4/100 = 0.04
It was compounded for 7 years. So
t = 7
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 2800(1 + 0.04/2)^ 1× 7
A = 2800(1 + 0.02)^7
A = 2800(1.02)^7
A = $3216
