Answer:
$12,415.48
Step-by-step explanation:
A = P (1 + r/n)^(nt)
where A is the final amount,
P is the initial amount,
r is the annual interest rate as a decimal,
n is the number of compoundings per year,
and t is the number of years.
A = 8000 (1 + 0.152/2)^(2×3)
A = 8000 (1.076)^6
A = 12415.48
Answer:
512 ft.
Step-by-step explanation:
From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.
Solution:
Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:
tan 25 = h/(x + 740)
h = (x + 740)tan 25 (1)
tan 55 = h / x
h = x tan 55 (2)
Hence:
(x + 740)tan 25 = xtan 55
0.4663(x + 740) = 1.428x
0.4663x + 345.07 = 1.428x
0.9617x = 345.07
x = 359 ft.
h = xtan55 = 359 tan(55) = 512 ft.
Answer:
C
Step-by-step explanation:
We already know that a right angle is 90° and where C is in the picture shows us an obtuse angle making it beleive that it must be above 90°, which leaves us with C as our final answer and is the only answer that makes sense to be correct. Hopefully this helped you.
If you would like to solve the equation 10 * x - 12 = 48 - 2 * x, you can calculate this using the following steps:
10 * x - 12 = 48 - 2 * x
10 * x + 2 * x = 48 + 12
12 * x = 60 /12
x = 60 / 12
x = 5
The correct result is 5.
