Since you have to move the decimal point the the right by 7 places to get the decimal point after the one. You must multiply by 1/10 seven times, which is the same as:
10^-7
Step-by-step explanation:
Let the required number be n
NOTE: A number is always 100% in itself.
A=3000(1+3*0.027)=3,243
Interest earned 243
A=5,000×(1+0.018)^(3)=5,274.89
Interest earned 274.89
A=5,000×(1+0.039÷4)^(4×3)=5,617.41
Interest earned 617.41
Total interest 243+274.89+617.41=1,135.3
Total amount Amount after 3 years
3,243+5,274.89+5,617.41=14,135.3
Answer: x = 37.8
Step-by-step explanation: We start with triangle ABC with two sides given as 15 and 18. We shall make angle C the reference angle and thereby calculate the third side, line BC.
Since we have the opposite side as 15, and the adjacent side (which lies between the reference angle and the right angle) as 18, we can use the tangent of the angle C
Tan C = Opp/Adj
Tan C = 15/18
Tan C = 0.8333
From our table of values/use of the calculator
Tan C = 39.8
Angle C in triangle ACB = Angle C in triangle ECD (Opposite angles are equal).
That takes us to triangle ECD, since the reference angle is known (39.8) and the opposite side is also given (31.5), we can now calculate the adjacent which is side x.
Tan C = Opp/Adj
Tan 39.8 = 31.5/x
when you cross multiply, x moves to the left hand side, while Tan 39.8 moves to the right hand side
x = 31.5/Tan 39.8
x = 31.5/0.8333
<u>x = 37.8</u>
Using the slope concept, it is found that the balloon's vertical distance above the ground is of 437.4 feet.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
In this problem:
- The vertical change is x.
- The horizontal change is of 602 ft.
Hence, applying the concept:
tan (36º) = x/602
x = 602 x tan(36º)
x = 437.4.
More can be learned about the slope concept at brainly.com/question/18090623
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