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777dan777 [17]
2 years ago
7

Carlos deposits $800 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in th

e first 4 years?
Mathematics
1 answer:
Anni [7]2 years ago
6 0

Answer:

640

Step-by-step explanation:

800x4=3200

3200-20%

=640

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Lerok [7]
The answer is 13 :)))
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3 years ago
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A railroad track rises 30 feet for every 400 feet of track. What is the measure of the angle of elevation of the track?
gtnhenbr [62]

Answer:

Step-by-step explanation:

Rising 30 feet for every 400 feet of track is not a very large angle of elevation.  We set this up as a right triangle to use right triangle trig to solve for the missing angle.  The height is 30 and the hypotenuse is 400.  The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio.  Setting up the ratio using our info:

sin\theta=\frac{30}{400}

When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:

sin^{-1}(

Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.

3 0
3 years ago
The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 mil
devlian [24]

Answer:

69.14% probability that the diameter of a selected bearing is greater than 84 millimeters

Step-by-step explanation:

According to the Question,

Given That, The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 millimeters. Find the probability that the diameter of a selected bearing is greater than 84 millimeters.

  • In a set with mean and standard deviation, the Z score of a measure X is given by Z = (X-μ)/σ

we have μ=87 , σ=6 & X=84

  • Find the probability that the diameter of a selected bearing is greater than 84 millimeters

This is 1 subtracted by the p-value of Z when X = 84.

So, Z = (84-87)/6

Z = -3/6

Z = -0.5 has a p-value of 0.30854.

⇒1 - 0.30854 = 0.69146

  • 0.69146 = 69.14% probability that the diameter of a selected bearing is greater than 84 millimeters.

Note- (The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X)

7 0
3 years ago
Solve for x.<br> 3x + 4x = 14<br> X =<br><br> please explain how you got the answer too
Komok [63]
X=2
You add 3x and 4x which is 7x then divide 14 by 7 which is 2
5 0
3 years ago
The square below has a side length of 14 inches. What is the area of the shaded region?
hichkok12 [17]

Answer:

14 square units

Step-by-step explanation:

7 0
2 years ago
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