Answer:
(1) 13.0 years
(2) {-1728, 1728}
Step-by-step explanation:
(1)
Compound annually:
= A
(47000) = 79200
=
ln() = ln()
ln and e cancel out.
(0.04)(t) = ln()
t =
t = 13.0 years
(2)
Substitute y with -4x.
Solve for x.
x = {-3, 3}
Plug in x values into any equation to find y.
y = -4(-3) and y = -4(3)
y = {-12, 12}
= = -1728
= = 1728
Answer:
The simple interest is 10,150.00 The compound interest is $10,150.56
Step-by-step explanation:
The length of the considered flight in terms of time is given by: Option C. 9 hours, 45 minutes
<h3>What is local time?</h3>
Local time refers to the time of a particular region. The term local refers that whoever is noticing the time and calling it local time means that the person is telling about the time of the place where they're currently staying.
For this case, we're provided that:
When its 8:00 a.m. Damascus it its 4:00 pm in Vladivostok, so the time in Vladivostok is 8 hours ahead of Damascus (or 16 hours behind).
Assuming its 8 hours ahead, as the plane departs from 10:45 am from Vladivostok, and lands in Damascus at 12:30 pm, so 12:30 pm + 8 hours gives 8:30 pm in Vladivostok.
So, the plane departed at 10:45 am of Vladivostok and lands at 8:30 pm in Vladivostok, so it took 9 hours and 45 minutes for his flight to go from Vladivostok to Damascus. (since difference between 8:30 pm and 10:30 am (from 10:30 am to 8:30 pm) is of 9 hours 45 minutes)
Thus, the length of the considered flight in terms of time is given by: Option C. 9 hours, 45 minutes
Learn more about timezones here:
brainly.com/question/4054255
Here, we have been asked to find the order of rotational symmetry of a symmetry of a regular pentagon. First let us learn about rotational symmetry and some basic terms related to it.
1. Rotational Symmetry: -
It is the property a shape has when it looks the same after some rotation by a partial turn. For example: - an equilateral triangle will look the same after a partial rotation of 120∘
2. Centre of rotation: -
The fixed point around which the rotation occurs is called the centre of rotation. For example: - the centre of rotation of a fan is the centre of the fan from which its blade originates.
3. Angle of Rotational Symmetry: -
The angle of rotational symmetry is the smallest angle for which the figure can be rotated to coincide with itself. For example: - the angle of rotation of an equilateral triangle is 120∘
4. Order of Rotational Symmetry: -
The order of rotational symmetry of a shape is the number of times it can be rotated around a full circle and still look the same. For example: - an equilateral triangle can be rotated 3 times around a full circle, each time at the angle of 120∘
, so its order of rotation will be 3.
In general, a regular polygon having n – sides have ‘n’ lines of symmetry and their order of rotational symmetry is ‘n’.
Now, let us come to the question. We have to find the order of rotational symmetry of a regular pentagon.
We know that a regular pentagon has 5 sides.
<h3> Hence, it will have 5 lines of symmetry and its order of rotational symmetry will be 5.</h3>
Answer:
Step-by-step explanation:
(-1,7), (0,5), (1,3)
and
(0,-3), (2,5), (4,13)