The solution to the equation x/4 + 3 = 19 is x = 64. This is verified by substituting x = 64 back into the original equation, simplifying, and confirming the equation holds true.
To solve the equation x/4 + 3 = 19, we first subtract 3 from both sides of the equation. This gives us x/4 = 19 - 3, or x/4 = 16. Next, we multiply both sides of the equation by 4 to solve for x, which gives us x = 16 * 4 or x = 64.
To verify the solution, we substitute x = 64 back into the original equation: 64/4 + 3 = 19. Simplifying the left side gives us 16 + 3 = 19, which is equivalent to the right side. Therefore, the solution x = 64 is correct.
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b. AB=CD
c. BAD=BCD
d. AC=BD
Answer:
(D)
Step-by-step explanation:
It is given that The diagonals of parallelogram ABCD intersect at point E.
then, using the properties of parallelogram, we get
(A) BD bisects AC
This is correct statement because the diagonals bisect each other in parallelogram.
(B) AB=CD
This is correct statement because the opposite sides of the parallelogram are equal.
(C) ∠BAD=∠BCD
This is correct because opposite angles of the parallelogram are equal.
(D) AC=BD
This is not necessarily true, because if the diagonals of parallelogram are equal, then it is a rectangle.
Hence, option D is correct option that is not necessarily true.
Answer:
Step-by-step explanation:
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 = $7500
r = 6% = 6/100 = 0.06
Assuming the interest was compounded annually, then
n = 1 because it was compounded once in a year.
t = 4 years
Therefore,
A = 7500(1 + 0.06/1)^1 × 4
A = 7500(1.06)^4
A = $9468.6
The interest that they would have earned after 4 years is
9468.6 - 7500 = $1968.6
Answer:
3 c
Step-by-step explanation:
The answer to the question is B.