Answer: $32,732.58
Step-by-step explanation:
To calculate the total loan payment over the course of the loan period, use the future value formula:
= Loan amount * (1 + rate) ^ number of years
As this loan is compounded monthly, you need to convert certain terms to monthly figures:
Number of periods = 6 * 12 months = 72 months
Interest = 4.5 / 12 = 0.375%
Total payment:
= 25,000 * ( 1 + 0.375%)⁷²
= $32,732.58
Answer:
One of the points will be at (0,-10)
One of the points will be at (5/2,0)
The slope is 4
Step-by-step explanation:
Just look at a graph that has the points close to the ones at the top. Good luck, and have a nice day.
<h3>
Answer:</h3>
- A
- B
<h3>
Step-by-step explanation:</h3>
1. A decrease of 3.8% is equivalent to a multiplier fraction of -0.038. The only answer choice that has such a multiplier is A.
In an instance such as this, the "rate" is usually some (fractional) change in some period of time. Since the exponent must be unitless, the rate is effectively (some fraction) "per year" so that multiplying by "t" years cancels the units and results in a pure number.
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<em>Comment on the exponential</em>
If the actual change were -3.8% per year, the exponential term would look like (1 - 0.038)^t = 0.962^t. By writing it as e^(-0.038t), the decrease is effectively compounded continuously. As a result, over a year's time, the decrease is actually about 3.73%, not 3.8%.
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2. If ║x/2║ is a magnitude function, answer choices B and D are equivalent. Thus, we must assume it is a "greatest integer" function. Then the number of desserts prepared will be ║x/2║, and the corresponding revenue will be 1.2║x/2║. Since x is in minutes, 2 to 4 hours will be 120–240 minutes. The appropriate choice is B.
Answer:
Step-by-step explanation:
9). It's given in the triangle → Two angles are equal in measure
Therefore, by the definition of an isosceles triangle, opposite sides of the equal angles are equal in measure.
x = 12
10). Two sides of the given triangles are equal in length.
By the definition of an isosceles triangle, opposite angles of the equal sides of the triangle will be equal in measure.
Therefore, y = 55°
By the triangle sum theorem,
x° + y° + 55° = 180°
x° + 55° + 55° = 180°
x = 180 - 110
x = 70°
11). By the definition of an isosceles triangle, opposite sides of the equal angles will be equal in measure.
x + 3 = 12
x = 9
12). By the definition of an isosceles triangle, opposite angles of the equal sides of the triangle will be equal in measure.
m∠2 = 53°
x + 65 = 53
x = 53 - 65
x = -12
Answer:
A=2m⁴+17m³+11m²+24m
Step-by-step explanation:
The area of rectangle is length × width
A=LW
A=(m+8)(2m³+m²+3m)
A= 2m⁴+m³+3m²+16m³+8m²+24m
A=2m⁴+m³+16m³+3m²+8m²+24m
A=2m⁴+17m³+11m²+24m
