The rate for such investment is 4% per annum. This will be computed as follows: $12,000 (Future value of money) less $10,000 ( Present value of money) is equal to $2,000 which will be then divided by 5 years and the it will give us the value of $400 per year. Then $400 will be divided by the $10,000 ( Present value of money) which gives us 4%.
The commutative property allows us to rearrange the terms within an addition operation without affecting the result. In this case, we use it to solve for 'n' in the equation, resulting in n=55,207.
The student is asked to use the commutative property of addition, which simply states that the order in which numbers are added does not affect the sum. Therefore, if we have the equation 55,207 + 87,331 = 87,331 + n, using the commutative property, we can rearrange the terms of the equation to solve for 'n'.
So, if we rewrite 55,207 + 87,331 = 87,331 + n as 55,207 = n (by subtracting 87,331 from each side), we get the value of n. Therefore, n = 55,207.
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x = 3; the diver hits the water 3 feet away horizontally from the board
x = 10; the diver jumps in the pool at 10 feet per second
x = 3; the diver jumps in the pool at 3 feet per second
The diver hits the water 3 feet away horizontally from the board.
The correct option is (b)
A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0 with a ≠ 0 .
Given function: f(x)= -x² -7x +30
Factorising f(x), we get
-x² -7x +30 =0
x² +7x -30 =0
x² +10x - 3x -30 =0
x(x+10)-3(x+10)=
(x+10)(x-3)=0
The roots of this quadratic equation are x = 3 and -10.
As, the diver is on a diving board we will not use -10.
Hence, the diver hits the water 3 feet away horizontally from the board.
Learn more about quadratic equation here:
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Answer: 1/24
Step-by-step explanation:
You multiply the fraction of the first probability by the fraction of the second probability.
The spinner has 4 colors, the odds of it landing on blue is 1/4
The cube has 6 numbers, the odds of it landing on 4 is 1/6
1/4 * 1/6 = 1/24
Answer:
The required inequality is x > 3.9
Step-by-step explanation:
Consider the provided information.
The closed circle means that the set contain that extreme.
For closed circle we use the inequality "≤" or "≥"
The open circle means that the set does not contain that extreme.
For open circle we use the inequality "<" or ">"
Here, it is given that the graph has an open circle, therefore the required inequality should be "<" or ">"
If the ray moves right, in the usual notation, the real numbers increase to the right, if it moves to left the real numbers decreases.
It is given that the ray moves to right that means the set of numbers bigger than 3.9, that does not contain the number 3.9
Hence, the required inequality is x > 3.9
Where x is any number greater than 3.9.
Answer:
1
Step-by-step explanation: