Jessica's annual salary is $68571.43.
Data;
- percentage saved for housing = 28%
- amount saved annually = $1600
<h3>Percentage</h3>
This is the ratio of a number to the entire value and multiplied by 100
The percentage set aside for housing is given as 28% which is $1600.
Let find 28% of x which is equal to 1600
cross multiply both sides and solve for x
Divide both sides by the coefficient of x
Her monthly income is $5714.28.
Let's multiply this by 12 (months in a year) to determine her gross monthly income.
From the above calculations, Jessica's annual salary is $68571.43.
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Because two angles are equal, sides AB and AC will have equal lengths, and so, we can set each expression equal to each-other.
4x + 4 = 6x - 14
Subtract 4x from both sides.
4 = 2x - 14
Add 14 to both sides.
18 = 2x
Divide both sides by 2.
x = 9.
Because we have a constant value of x, we can solve for BC.
BC = 2x + 7
2(9) + 7
18 + 7
25
<h3>The value of BC is 25.</h3>
Of the sixteen possibilities only one is HHHT, so the probability is
It is closer to 1. 5/6 is 16 less than 1 and 5/6 is 1/3 more than 1/2, so it would be closer to 1.
The unknown values are as follows:
a = 48.7°
b = 51.43
c = 12.16
d = 122.39
<h3 />
<h3>Properties of a right angle triangle:</h3>One angle is equals to 90 degrees
- The sides and angle can be calculated using trigonometric ratios
Therefore,
sin 72.3° = opposite / hypotenuse
sin72.3° = 49 / b
b = 49 / sin 72.3
b = 49 / 0.95266148125
b = 51.4348495916
b = 51. 43
a = (180 - 90 - 23.6) - (180 - 72.3 - 90)
a = 66.4 - 17.7
a = 48.7°
tan 23.6 = opposite /adjacent
tan 23.6 = 49 / c
c = 49 / tan 23.6
c = 112.158945248
c = 12.16
sin 23.6 = opposite /hypotenuse
sin 23.6 = 49 / d
d = 49 / sin 23.6
d = 49 / 0.40034903255
d = 122.39
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