9514 1404 393
Answer:
b = -0.0012a +211
208.36 °F at 2200 ft
Step-by-step explanation:
We are given two points:
(a, b) = (8100, 201.28) and (4300, 205.84)
The slope of the desired line can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (205.84 -201.28)/(4300 -8100) = 4.56/-3800 = -0.0012
The "y-intercept" of the function can be found from ...
y-intercept = b -ma
y-intercept = 201.28 -(-0.0012)(8100) = 211.00
So, the function of interest is ...
b = -0.0012a +211
__
At 2200 ft, the boiling point is ...
b = -0.0012×2200 +211 = -2.64 +211 = 208.36
The boiling point of the liquid at 2200 ft is 208.36 °F.
see the attached figure to better understand the problem
we know that
in the right triangle ABC
cos 56°=AC/AB
where
AC is the adjacent side to angle 56 degrees------> the distance from the surveyor to the building
AB is the hypotenuse-----> 148 ft 2 in
56 degrees------> is the angle of elevation
so
cos 56°=AC/AB---------> solve for AC
AC=AB*cos 56°
AB=148 ft 2 in
convert 2 in to ft
1 ft -----> 12 in
x ft------> 2 in
x=2/12-----> x=0.17 ft
AB=148 ft 2 in-----> 148 ft+0.17 ft------> AB=148.17 ft
AC=AB*cos 56°----> AC=148.17*cos 56°------> AC=82.86 ft
convert 0.86 ft to in
0.86 ft=0.86*12-----> 10.32 in
distance AB=82 ft 10 in
the answer is
the distance from the surveyor to the building is 82 ft 10 in
Answer: After 1 year: $5,610
After 2 years: $5,722.20
Step-by-step explanation: Use the formula for periodic compounding interest, which is
A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.
Here, P = 5,500, r = 0.02 (that's 2% as a decimal), n = 1,
t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)
Plug the known values in to solve...
For 1 year...
A = 5,500(1 + 0.02/1)^(1*1)
A = 5,500(1.02)^1
A = 5,610
For 2 years...
A = 5,500(1 + 0.02/1)^(1*2)
A = 5,500(1.02)²
A = 5,722.20
Answer:
23 bby <3
Step-by-step explanation:
Answer:
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Step-by-step explanation:
