Answer:
x=56
Step-by-step explanation:
9514 1404 393
Answer:
not similar
Step-by-step explanation:
Similar polygons have all corresponding angles congruent, and corresponding sides proportional.
The sides lengths guarantee the polygons are parallelograms, so one pair of angles being congruent is sufficient to ensure that all corresponding angles are congruent.
The ratio of side lengths in the left polygon is 13/8, and the ratio of side lengths in the right polygon is 5.2/2.4 = 13/6. These are different ratios, so the corresponding sides are NOT proportional.
The figures are NOT SIMILAR.
The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.
<h3>Calculation of the total capital invested</h3>
The time the investment lasted= 12 years.
Simple interest = 1579.05 - 800= $779.05
The principal capital= $800
Rate of the both capital invested;
= SI × 100/P ×T
= 779.05 × 100/800 × 12
= 77,905/9600
= 8.11%
To find the amount of money that Phyllis invested at each given rate,
Rate 1 = 4/8.11× 800
= 3200/8.11
= $394.57
Rate 2 = 6/8.11× 800
= 4800/8.11
= $591.86
The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.
Learn more about simple interest here:
brainly.com/question/20690803
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Let x be number of T-Shirts made.
Therefore,
Revenues from the sell = 12*x = 12x
The cost making them = 20+(8*x) = 20+8x
Profits = 12x-(20+8x) = 12x -20-8x = 4x - 20
Now, this profit should be atleast $100. Then,
100<4x-20 => 100+20<4x => 120<4x => 120/4<x => x>30
Therefore, more than 30 T-shirts should be made in order to make atlease $100 profit.