Answer:
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
A) From the information given,
P = $800
r = 4.5% = 4.5/100 = 0.045
t = 5 years
Therefore,
A = 800 x e^(0.045 x 5)
A = 800 x e^(0.225)
A = $1002
B) For it to double,
A = 2 × 800 = 1600
Therefore,
1600 = 800 x e^(0.045 x t)
1600/800 = e^(0.045t)
2 = e^(0.045t)
Taking ln of both sides, it becomes
Ln2 = 0.045t
0.693 = 0.045t
t = 0.693/0.045
t = 15.4 years
I tried but see if this helps you In algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side.
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In order to find the answer to this question, you have to use the distance formula in order to find the length of the triangle sides. Then you divide the length of the pre-image by the length of the image. The distance formula can be found here, it is very awkward to type it our so I will give you a helpful link: http://www.mathwarehouse.com/algebra/distance_formula/index.php
So the distance of PQ , which has a corresponding side of AB is about 4.
The distance of AB is about 14.
14/4 = 3.5 So the answer is D. 3.5
Angle 1 is a vertical angle in relation to the given angle, 117°, so it has the same measure.
Angle 2 is a corresponding angle to angle 1 where the transversal crosses parallel lines, so it has the same measure. (It is also an alternate exterior angle with respect to 117°, so has the same measure.)
∠1 = ∠2 = 117°
