<span>(a) the slope of curve is calculated from the derivative of the curve expression y=5/x. In this problem, the slope m=-5/(a^2).
(b) x=1, y=5，and m=-5, the tangent line is y-5=-5*(x-1).
x=4, y=5/4, and m=-5/16, the tangent line is y-5/4=-5/16*(x-4)</span>
Answer:
x ≈ 31.0°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanx = 
= 
, then
x = 
( ) ≈ 31.0° ( to 1 dec. place )
Answer:
$9450
Step-by-step explanation:
Given that:
The price of the home = $450000
The interest = 7.8%
Down payment = 30% of price of the home
i.e 0.3 × 450000 = 135000
The principal outstanding balance = 450000 - 135000
= 315000
Finally, the cost of 3 points will be;
= $9450
Answer:
don't know
Step-by-step explanation:
Answer:
$13.77 per person in the family
Step-by-step explanation:
Cost of the meal = $54.65
Sales tax rate = 8%
Sales tax amount = 8% of $54.65
= 8/100 × 54.65
= 0.08 × 54.65
= $4.372
Tip = 18% of $54.65
= 18/100 × 54.65
= 0.18 × 54.65
= $9.837
Total cost of the dinner = Cost of the meal + Sales tax amount + Tip
= $54.65 + $4.372 + $9.837
= $68.859
There are 5 people in the Holcombe family
What was the cost per person for the meal, including sales tax and tip?
cost per person for the meal, including sales tax and tip = Total cost of the dinner / total number of people in the family
= $68.859 / 5
= $13.7718
Approximately
$13.77 per person in the family
