Answer:
Step-by-step explanation:
(Subtract from both sides of the equation to isolate )
(Simplify)
(Symmetric Property of Equality)
(Divide both sides of the equation by to get rid of 's coefficient; remember that , so has a coefficient of )
(Simplify)
Hope this helps!
For a right triangle, the sine of an angle is the ratio of the length of the side opposite to it and the hypotenuse and the its cosine is the ratio between the side adjacent to it and the hypotenuse. From the given choices, the angle being referred to is letter B. 45°.
Answer:
Most credit card companies also apply a late payment penalty if you owe a balance and do not make a payment. Ignoring that fee, Miriam's balance will increase as:
B(n) = 750(1.018)^n
where B(n) is Miriam's balance after n months. The progression will be:
$750.00
$763.50
$777.24
$791.23
$805.48
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.
The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:
138 = (376 -23x) +(x^2 -8x)
Subtracting 138 and collecting terms we have ...
x^2 -31x +238 = 0
For your calculator, a=1, b=-31, c=238.
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<em>Additional comment</em>
You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.
For x=14, the marked angles are A = 84°, C = 54°.
Answer:
Present value = $4,122.4
Accumulated amount = $4,742
Step-by-step explanation:
Data provided in the question:
Amount at the Start of money flow = $1,000
Increase in amount is exponentially at the rate of 5% per year
Time = 4 years
Interest rate = 3.5% compounded continuously
Now,
Accumulated Value of the money flow =
The present value of the money flow =
=
=
=
= 1000 × [70.7891 - 66.6667]
= $4,122.4
Accumulated interest =
=
= $4,742