We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
where
A = total amount in the account at the end of t years
r represents the interest rate
n represents the periodic interval at which it was compounded
p represents the principal or initial amount deposited
From the information given,
P = 11260
t = 6
r = 7.5/100 = 0.075
n = 52(Assuming the number of weeks in a year is 52 and it would be compounded 52 times in a year)
Thus, we have
A = 11260(1 + 0.075/52)^52*6
A = 11260(1 + 0.075/52)^312
A = 17653.5
Answer: 1 to 8
Reason: because there’s 1 of 8 items is the same ratio
If you think about it, a hexagon can be cut into 6 equilateral triangles. Because of this, all you need to do is find the area of one triangle and multiply it by 6. Since the side length of one triangle is 12, we know that is the base. Since the triangles that are created when cutting the equilateral triangle in half are both 30 60 90, the height must be 6(3)^1/3. We can then multiply 12 • 6 radical 3 •1/2 to get 36 radical 3. Multiply this by 6 and get 216 radical 3 units squared.
Answer:
See the image below:)
Step-by-step explanation:
<span>Simplifying
25 + 10(12 + -1x) = 5(2x + -7)
25 + (12 * 10 + -1x * 10) = 5(2x + -7)
25 + (120 + -10x) = 5(2x + -7)
Combine like terms: 25 + 120 = 145
145 + -10x = 5(2x + -7)
Reorder the terms:
145 + -10x = 5(-7 + 2x)
145 + -10x = (-7 * 5 + 2x * 5)
145 + -10x = (-35 + 10x)
Solving
145 + -10x = -35 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
145 + -10x + -10x = -35 + 10x + -10x
Combine like terms: -10x + -10x = -20x
145 + -20x = -35 + 10x + -10x
Combine like terms: 10x + -10x = 0
145 + -20x = -35 + 0
145 + -20x = -35
Add '-145' to each side of the equation.
145 + -145 + -20x = -35 + -145
Combine like terms: 145 + -145 = 0
0 + -20x = -35 + -145
-20x = -35 + -145
Combine like terms: -35 + -145 = -180
-20x = -180
Divide each side by '-20'.
x = 9
Simplifying
x = 9.
Hope this helps you ! =')</span>
