The height of the lighthouse is 44 feet.
<u>Step-by-step explanation:</u>
You are given more information than you need.
Use the right triangle concept,
A yacht is anchored 90 feet offshore
from the base of a lighthouse.
- Base = 90 feet
- Height = h feet
The angle of elevation from the boat to the top of the lighthouse is 26 degrees.
<u>Using one side length and the angle only: </u>
The trigonometric formula is given as,
tan = height / base
tan[26º] = h ⁄ 90
h = 90 × tan[26º]
h = 43.9 ft
h = 44 feet
Therefore, the height of the lighthouse is 44 feet.
Answer:
Step-by-step explanation:
Arithmetic sequence:
Here a is the first term and d is the common difference.
⇒ 
------------(I)
⇒ a + 19d = 100 ---------(II)
Subtract equation (I) from (II)
(I1) a + 19d = 100
(II) a + 13d = 46
<u>- - -</u>
6d = 54
d = 54 ÷ 6
Substitute d = 9 in equation(I) and find 'a',
a + 13*9= 46
a + 117 = 46
a = 46 - 117
a = -71
= -71 + 18
= -53
= -71 + 54
= -17
= -71 + 9*n - 1 *9
= -71 + 9n - 9
= -71 - 9 + 9n
= - 80 + 9n
Answer:
(0, 1)
Step-by-step explanation:
All other choices do not match the two possible vertices of the square.
Complete Question
If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5% for 3 years
Answer:
$ 12,934.61
Step-by-step explanation:
The formula for Compound Interest Compounded continuously is given as:
A = Pe^rt
A = Amount after t years
r = Interest rate = 2.5%
t = Time after t years = 3
P = Principal = Initial amount invested = $12,000
First, convert R percent to r a decimal
r = R/100
r = 2.5%/100
r = 0.025 per year,
Then, solve our equation for A
A = Pe^rt
A = 12,000 × e^(0.025 × 3)
A = $ 12,934.61
The total amount from compound interest on an original principal of $12,000.00 at a rate of 2.5% per year compounded continuously over 3 years is $ 12,934.61.
