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White raven [17]
3 years ago
10

Meagan invests $1,200 each year in an IRA for 12 years in an account that earned 5% compounded annually. At the end of 12 years,

she stopped making payments to the account, but continued to invest her accumulated amount at 5% compounded annually for the next 11 years. A. [3 pts] What was the value of the IRA at the end of 12 years? B. [2 pts] What was the value of the investment at the end of the next 11 years?
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
5 0

Answer:

12000

Step-by-step explanation:

12000

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John ran the 100-m dash with a time of 9.81 sec. if this pace could be maintained for an entire 26-mi marathon, what would his t
Dmitry_Shevchenko [17]

Answer:

4104.79 Seconds or about 1.14 Hours

Step-by-step explanation:

26mi = 41842.9m

100/9.81 = 41842.9/x

41842.9 x 9.81 = 100x

410478.849 = 100x

x = 4104.78849

7 0
2 years ago
You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
2 years ago
What is the area of this triangle?
Nikolay [14]

Answer:13.1

Step-by-step explanation:

Area equation:S=S=\frac{1}{2} ab sinθ

4 0
2 years ago
(2) The population density of a region in Alaska is 3,000 people/200 mi? Which of the
Vesna [10]

Answer:

15 people/mi

Step-by-step explanation:

The population density of a region in Alaska is 3,000 people/200 mi.

We need to find the equivalent to the population density of this Alaskan region.

x=\dfrac{3000\ \text{people}}{200\ \text{mi}}\\\\x=\dfrac{30\ \text{people}}{2\ \text{mi}}\\\\x=\dfrac{15\ \text{people}}{\text{mi}}

So, the correct option is (c) "15 people/mi"

8 0
2 years ago
If one angle of a parallelogram is 60 degrees, find the number of degrees in the remaining three angles.
Anna007 [38]

Answer:

The remaining 3 angles are 300 degrees

Step-by-step explanation:

The sum of the interior angles of a parallelogram is 360 degrees

We know one angle is 60

360 -60 = 300

The remaining 3 angles are 300 degrees

4 0
3 years ago
Read 2 more answers
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