Put the given numbers in the appropriate formula and evaluate.
A = P(1 +r/n)^(nt)
P is the principal amount
r is the annual rate
n is the number of times per year interest is compounded
t is the number of years
A is the balance in the account after t years
a. A = $6000*(1 + .045/12)^(12*17) ≈ $12,875.53
b. A = $6000*(1 + .045/4)^(4*17) = $12,839.01
Answer:
Option C is the right answer as figure B is formed when figure A was translated 8 units right and 6 units up.
Step-by-step explanation:
In geometry, translation is a term which is used to describe a function that moves an object or figure a certain distance.
In translation, each and every point of the entity or object must be moved for the same distance in the same direction.
Here are some rules when translation is made on the Coordinate Plane:
- If the object is moved left and down, the rule would be (x - __, y - __). Here the blanks are the distances moved along each axis.
- For a translation left and up: (x - __, y + __)
- For a translation right and down (x + __, y - __)
- For a translation right and up (x + __, y + __)
So, in the light of above rules and regulation, if observe the diagram as shown in question, figure B is formed after figure A was translated 8 units right and 6 units up.
Therefore, option C is the right answer.
Keywords: translation, transformation
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To simplify the expression stated, it is better to write it in the numerical form. The statement is:
<span>quantity 12 x plus 36 over quantity x squared minus 4 x minus 21
The numerical form is:
12x+36 / (x</span>²-4x-21)
Simplifying,
12x+36 / (x<span>²-4x-21)
</span>12 (x+3) / (x+3)(x-7)
We can cancel the x+3 term, leaving only:
12/(x-<span>7)</span>
Answer:
1.25
Step-by-step explanation:
