Answer:
100.7%
Step-by-step explanation:
Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.
We can setup a formula using our period of time and the money he invested into the bank:

We can divide 340 from both sides, and simplify the right side to 21 divided by 17:

Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.
To find differences in the angles of the intersections we must know how many degrees each angle corresponds to. We must also take into account that the sum of the internal angles must equal 180°.
<h3>What is a triangle?</h3>
A triangle is a polygon that is characterized by having three sides, three vertices, and three angles. An indispensable rule of the interior angles of the triangles is that they must add up to 180º.
Triangles are classified according to their characteristics as shown below:
- Equilateral triangle: It is a type of triangle that is characterized by having all equal sides. Consequently, all the angles of an equilateral triangle are 60º. The equilateral triangle is a regular polygon.
- Isosceles triangle: It is a type of triangle that is characterized by having two equal sides and one different. Consequently, it also has two equal angles.
- Scalene triangle: A scalene triangle is one that is characterized by having all its sides and angles unequal, that is, different from each other.
According to the above, depending on the measurements of the length of the sides and the angles of a triangle, its characteristics and classification change.
Note: This question is incomplete because the image is missing. However I can answer it based on my general prior knowledge.
Learn more about triangles in: brainly.com/question/2773823
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Answer:
88 problems
Step-by-step explanation:
Set this problem up as fractions
86/x = 98/100
Cross multiply
86 × 100 = x × 98
8600 = 98x
Divide both sides by 98
87.75... = x
Round to nearest whole number
87.75 rounds up to 88
88 problems
Answer:
Raise 4 4 to the power of 2 2 . Simplify 11+(4)2 11 + ( 4 ) 2 . Raise 4 4 to the power of 2 2 . Add 11 11 and 16 16 .
Step-by-step explanation:
Set x as adult tickets.
Set y as children's tickets.
x + y = 15
30x + 20y = 270
Solve for x in the first equation.
x + y = 15
x = 15 - y
Plug this into the second equation.
30x + 20y = 270
30(15 - y) + 20y = 270
450 - 30y + 20y = 270
450 - 10y = 270
-10y = -180
y = 18
If there is 18 childrens tickets, there should be -3 adult tickets.
This is impossible, and this impossible answer occured because the question is written wrong.
There are a total of 15 tickets
The smallest costing ticket is the childrens ticket, which costs 20$.
If he only bought children tickets, this would be 20x15 which is 300$.
300$ is over 270$, which makes the question impossible.