Answer:
∠a = 39°
∠b = 129°
Step-by-step explanation:
Vertical angles are congruent. An exterior angle of a triangle is equal to the sum of the remote interior angles.
<h3>Application</h3>
Angle y and angle 'a' are vertical angles, so congruent.
∠a = ∠y = 39°
The angle marked 'b' is an exterior angle to the triangle. Its remote interior angles are 'a' and the one marked 90°.
∠b = ∠a +90° = 39° +90°
∠b = 129°
We are given with an initial deposit of $20,000 and a future worth of <span>$35,000. In this case, we are asked for the return of income (ROI) of the investment. in this case, we assume the number of years equal to 1. hence,
</span>$35,000 = <span>$20,000* (1+i) ^1
</span>i or ROI then is equal to 0.75
Answer: (22) $9,075 (23) $656.25 (24) $217.13
<u>Step-by-step explanation:</u>
Cost Function: C(x) = 5.75x + 8,000
C(10,000) = 5.75(10,000) + 8,000
= 57,500 + 8,000
= 65,500
Revenue Function: R(x) = 9.50x
R(7,850) = 9.50(7,850)
= 74,575
Profit Function: P(x) = R(x) - C(x)
= 74,575 - 65,500
= 9,075
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Retail = Unit Cost + Unit Cost × Markup
= $375 + $375 × .75
= $375 + $281.25
= $656.25
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$225 but if paid within 10 days there is a 3.5% discount
Discount = $225 - $225 × .035
= $225 - $7.88
= $217.13
<h2>
Explanation:</h2><h2>
</h2>
Here we know that Margie is standing on a bridge looking at the river. She throws a rock over the bridge with an initial velocity of 60 ft/sec. The height, h, of the rock at the rime t seconds after it was thrown can be modeled by the equation:
To calculate how long will it take for the rock to reach the surface of the water, we need to set 
. So:
Given that time can't be negative, we just choose the positive value. Therefore, <em>it will take 4.70 seconds for the rock to reach the surface water.</em>
