Answer:
landing on a shaded portion and landing on an even number
; landing on a shaded portion and landing on a number greater than 3
; landing on an unshaded portion and landing on an odd number
; and landing on an unshaded portion and landing on a number less than 2.
Explanation:
Mutually exclusive events are events that cannot occur at the same time. Our spinner has two grey sections, on 1 and 3; and two white sections, on 2 and 4.
This means that the spinner cannot land on a shaded (grey) portion and land on an even number at the same time, since the grey sections are numbered 2 and 4, both of which are even numbers.
The spinner also cannot land on a shaded (grey) portion and land on a number greater than 3 at the same time; this is because the only number greater than 3 on the spinner is 4, which is a white portion.
The spinner cannot land on an unshaded (white) portion and land on an odd number, since the white sections are labeled 2 and 4, which are both even.
The only number on the spinner less than 2 is 1, which is grey; this means the spinner cannot land on a number less than 2 and an unshaded (white) portion at the same time.
Answer:
The amount after three years is $12831.8
Step-by-step explanation:
* Lets revise the compound interest
- The formula for compound interest is A = P (1 + r/n)^(nt)
Where:
# A = the value of the investment with interest
# P = the initial investment amount
# r = the annual interest rate (decimal)
# n = the number of times that interest is compounded per unit t
# t = the time the money is invested
* Now lets solve the problem
∵ The initial amount is $9000
∴ P = $9000
∵ The rate is 12%
∴ r = 12/100 = 0.12
∵ The interest is compound quarterly
∴ n = 4
∵ The money invested for 3 years
∴ t = 3
∵ A = P (1 + r/n)^(nt)
∴ A = 9000(1 + 0.12/4)^(4×3)
∴ A = 9000(1 + 0.03)^12
∴ A = 9000(1.03)^12 = $12831.8
Answer: 3x2 + 3x - 7
Step-by-step explanation: The first term is, 3x2 its coefficient is 3
The middle term is, +3x its coefficient is 3
The last term, the constant, is -7
1.Multiply the coefficient of the first term by the constant 3 times -7 = -21
2. Find two factors of -21 whose sum equals the coefficient of the middle term, which is 3
A. They are not similar because their corresponding angles are not congruent.
Their angles are not the same.
The 1st triangle is a scalene triangle (a triangle that has 3 unequal sides and angles)
The 2nd triangle is an isosceles triangle (a triangle that has 2 congruent/equal sides and 2 congruent angles)
Answer:
4 cookies
Step-by-step explanation:
24 x (1/6) = 24/6 = 4
