Answer:
Option B is correct.
Step-by-step explanation:
Solving using synthetic division
-8 | 2 14 9
The synthetic division is shown in image attached.
The remainder is: 25
The quotient is : 2x-2
So, Option B is correct.
B) $48.42
C) $7.11
D) $71.10
Answer:
The junior class will receive US$ 1,479.77 when it cashes in the Certificate of Deposit.
Step-by-step explanation:
1. Let's review the data given to us for answering the question:
Amount invested in the Certificate of Deposit = US$ 1,400
Duration of the CD = 18 months
Interest rate = 3.7% compounded monthly
2. Let's find the future value of the Certificate of Deposit after 18 months, using the following formula:
FV = PV * (1 + r) ⁿ
PV = Amount invested = US$ 1,400
number of periods (n) = 18
rate (r) = 3.7% = 0.037 annually or 0.003083 monthly
Replacing with the real values, we have:
FV = 1,400 * (1 + 0.003083) ¹⁸
FV = 1,400 * (1.003083) ¹⁸
FV = 1,400 * 1.056978
FV = US$ 1,479.77 (Rounding to the nearest cent)
The junior class will receive US$ 1,479.77 when it cashes in the Certificate of Deposit.
12, 4, 4/3, 16/3...
1/2, -1/2, -3/2, -5/2 ...
1/2, -1/2, 1/2, -1/2 ...
Answer:
The third sequence.
Step-by-step explanation:
In an arithmetic sequence, the difference between two consecutive terms is the same.
For each option, find the difference between consecutive terms:
First option:
The differences are not the same. As a result, this option is not an arithmetic sequence.
Second option:
The differences are not the same. As a result, this option is not an arithmetic sequence, either.
Third option:
The differences are all . As a result, this option is indeed an arithmetic sequence. Its common difference is .
Fourth option:
The differences are varying between and . As a result, this option is not an arithmetic sequence.
Answer: Number 3. (1/2, -1/2, -3/2, -5/2 ...)
Step-by-step explanation:
1/2 - 1 = -1/2. -1/2 - 1 = -3/2. Etc.
To solve this, we need to know what vertical angles and what supplementary angles are. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. And, by the Vertical Angles Theorem, we know that they have the same measure. Now onto supplementary angles. Supplementary angles are angles that add up to 180 degrees.
Let's say that one of the vertical angles is equal to x. That means that the other one is also equal to x, and their sum is 2x. Since we are trying to find out a situation where vertical angles are supplementary, or equal to 180 degrees, that means that 2x is equal to 180 degrees. This is satisfied only when x = 90 degrees, meaning that vertical angles are supplementary when they are right angles.