Answer:
B. 5 + 2(3+2x) = x + 3(x+1)
Step-by-step explanation:
5 + 2(3+2x) = x + 3(x+1)
5 + 6 + 4x = x + 3x + 3
11 + 4x = 4x + 3
4x - 4x = 3 - 11
0 = - 8, which is absurd.
Hence the equation 5 + 2(3+2x) = x + 3(x+1) has no solution.
Answer:
0.98
Step-by-step explanation:
Explanation
The investment of $10,000 decreases by 2% every year. So the following year is usually (100 - 2)=98% of the previous year. This is a geometric progression.
In this case the first term = 10000
The second term = 98% × 10000 = 9800.
The common ratio = 9800/10000=49/50
The multiplicative rate of change that should be in Hal’s function = 49/50=0.98.
The equation of the exponential rate would be;
10,000ₓ0.98ⁿ.
where n is the number years.
Answer:
the answer is 12
Step-by-step explanation:
the answer is 12
Given:
Area of base = 90 ft²
Length of the prism = 13 ft
To find:
Volume of the triangular prism
Solution:
Volume of triangular prism formula:
Volume = Area of base × length of prism
Substitute the given values in the formula.
= 90 × 13
Volume = 1170
Therefore, the volume of the triangular prism is 1170 ft³.
Answer: Choice B) Angle L = Angle O
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If we know that Angle L is congruent to Angle O, then we can use the AAS (angle angle side) congruence property. We have one pair of angles marked by the square marker (angle J and angle M). So they are congruent angles. We have a pair of congruent sides JK = MN = 3. So we're just missing a pair of angles.
Note: The answer is NOT angle K = angle N because this would mean ASA would be used instead of AAS. The order of the letters is important as it establishes how the sides and angles relate. With ASA, the side is between the angles. With AAS, the side is not between the angles.
