The formula for simple interest is given by
I=PRT
We are given P=$1500
R=4% or 0.04
T=5 years
plugging them in the equation I=PRT , we get
I =1500*0.04*5 = 300
so interest is $300
Amount =P+I
Amount =1500+300 =1800
Amount $1800
Answer:
200+12x=644
Step-by-step explanation:
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That's is an acute angle does an acute angle have a degrees that u know of?
<h2>
Answer:</h2>
<em> The side of the triangle is either 38.63ft or 10.35ft</em>
<h2>
Step-by-step explanation:</h2>
This problem can be translated as an image as shown in the Figure below. We know that:
- The side of the square is 10 ft.
- One of the vertices of an equilateral triangle is on the vertex of a square.
- Two other vertices are on the not adjacent sides of the same square.
Let's call:
Since the given triangle is equilateral, each side measures the same length. So:
x: The side of the equilateral triangle (Triangle 1)
y: A side of another triangle called Triangle 2.
That length is the hypotenuse of other triangle called Triangle 2. Therefore, by Pythagorean theorem:
We have another triangle, called Triangle 3, and given that the side of the square is 10ft, then it is true that:
Therefore, for Triangle 3, we have that by Pythagorean theorem:
Matching equations (1) and (2):
Using quadratic formula:
Finding x from (1):
<em>Finally, the side of the triangle is either 38.63ft or 10.35ft</em>
Fred's age is 13 years
Let
Fred's age = x
Jack's age = 2x + 4
After 8 years:
- Fred's age = x + 8
- Jack's age = 2x + 4 + 8
= 2x + 12
Sum of their ages = Fred's age + Jack's age
59 = (x + 8) + (2x + 12)
59 = x + 8 + 2x + 12
59 = 3x + 20
59 - 20 = 3x
39 = 3x
x = 39/3
x = 13 years
Therefore, Fred's age = 13 years
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