Answer:
$8882.9
Step-by-step explanation:
A=p(1+(r/n))^nt
Given:P=7000, r=(3÷100%)=0.03 , n=2, t=8
A = 7000(1+(.03/2))^(2×8)
A = 7000 (1+0.015)^16
A = 7000 × 1.015^16
A = $8882.9
Answer: Mean = 20 and standard deviation = 4
Step-by-step explanation:
Let x represents the success of getting the correct answer.
Here, the total number of trials(n) = 100
The probability of getting the correct answer, p = 1/5
Thus, the mean of the number of correct answer,



Now, the standard deviation, 



Thus, First option is correct.
To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12
Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.
Angle 1: 36 degrees - It is opposite to angle 4, and is therefore equal. To solve for angle 4, you have to do 90 - angle 3 (because it is a right angle and totals 90)
Angle 2: 90 degrees - It is a right angle
Angle 4: 36 degrees (explained above)
Angle 5: 90 degrees - It is a right angle. It is also an opposite angle to angle 2, and is therefore equal to it.
Since the two diagonal lines are parallel, the angles will relate to each other.
Angle 7: 126 - It will be 180 - angle 10 (because a straight line = 180)
Angle 8: 54 - It is opposite to angle 10, and is therefore equal
Angle 9: 126 - It will be 180 - angle 8 (because a straight line = 180). It is also an opposite angle 7, and is therefore equal
Angle 10: You already figured this one out! :)
Angle 11: 36 degrees - A triangle is 180, and angles 11, 5, and 8 all make up a triangle. Therefore, 180 - angle 5 - angle 8 = angle 11
Angle 12: 144 degrees - It will be 180 - angle 13 (because a straight line = 180).
Angle 13: 36 degrees - it is opposite to angle 11, and is therefore equal
Angle 14: 144 degrees - it is opposite to angle 12, and is therefore equal
I hope this helps!
Answer:
Time T = 15 year
Step-by-step explanation:
Given:
Interest I = $270,000
Principal P = $150,000
Rate R = 12% = 0.12
Find:
Time T
Computation:
I = PRT
270,000 = (150,000)(0.12)(T)
270,000 = (18,000)(T)
Time T = 15 year