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RideAnS [48]
3 years ago
9

In the table below, we are given two annuity plans, A and B, and the amount invested into each plan every month. Given this info

rmation, determine which of the two investments is an ordinary annuity, and the amount invested over a 12 month period.
A 13-column table with 2 rows. Column 1 has entries A, B. Column 2 is labeled January with entries 100, blank. Column 3 is labeled February with entries 100, 100. Column 4 is labeled March with entries 100, 100. Column 5 is labeled April with entries 100, 100. Column 6 is labeled May with entries 100, 100. Column 7 is labeled June with entries 100, 100. Column 8 is labeled July with entries 100, 100. Column 9 is labeled August with entries 100, 100. Column 10 is labeled September with entries 100, 100. Column 11 is labeled October with entries 100, 100. Column 12 is labeled November with entries 100, 100. Column 13 is labeled December with entries blank, 100.
a.
Investment A is an ordinary annuity with an annual contribution of $1,100
b.
Investment A is an ordinary annuity with an annual contribution of $100
c.
Investment B is an ordinary annuity with an annual contribution of $1,100
d.
Investment B is an ordinary annuity with an annual contribution of $100
Mathematics
2 answers:
Novosadov [1.4K]3 years ago
8 0

Answer:

It's D

Step-by-step explanation:

Gre4nikov [31]3 years ago
4 0

Answer:

A

Step-by-step explanation:

You might be interested in
Which rule describes a composition of transformations that maps pre-image PQRS to image P"Q"R"S"?
FinnZ [79.3K]

The correct option is Option D \boxed{{r_{y-axis}}o{R_{0,270^\circ }}\left({x,y}\right)} .

Further explanation:

A translation is a transformation that transforms the figure with a fixed distance in the same direction.

A rotation is the transformation that rotates the figure with given angles.

Given:

It is given that the two transformations that maps pre-image PQRS to image {\text{P''Q''R''S''}} .

Step by step explanation:

Step 1:

It can be seen from the given figure that that the pre image is in the first quadrant and the image is the third quadrant.

The coordinates in the second quadrant represents as \left({-x,y}\right)  and in the third quadrant represents as \left({-x,-y}\right)  if x,y  are positive.

Therefore, the rotation is in the counter clockwise direction of 270^\circ .

Step 2:

The rotation of 270^\circ  in the counter clockwise direction represents the coordinates as,  

  \left({x,y}\right)\to\left({y,-x}\right)

It can be seen that the coordinate of {\text{PQRS}}  are as follows,

\begin{aligned}P=\left({1,1}\right)\hfill\\Q=\left(1,5}\right)\hfill\\R=\left({3,5}\right)\hfill\\S=\left({3,1}\right)\hfill\\\end{aligned}

Then after rotation of 270^\circ  counterclockwise on {\text{PQRS}}  \left( {x,y}\right)\to\left({y,-x}\right)   as,

  \begin{gathered}P\left({1,1}\right)\to\left({1,-1}\right)\hfill\\Q\left({1,5}\right)\to\left({5,1}\right)\hfill\\R\left({3,5}\right)\to\left({5,-3}\right)\hfill\\S\left({3,1}\right)\to\left({1,-3}\right)\hfill\\\end{gathered}

Step 3:

Now apply the rule of y  axis of reflection {R_{y-axis}}\left({x,y}\right)\to\left({-x,y}\right)  on the above transformation as,

\begin{gathered}\left({1,-1}\right)\to\left({-1,1}\right)=P''\hfill\\\left({5,1}\right)\to\left({-5,-1}\right)=Q''\hfill\\\left({5,-3}\right)\to\left({-5,-3}\right)=R''\hfill\\\left({1,-3}\right)\to\left({-1,-3}\right)=S''\hfill\\\end{gathered}

Therefore, the given transformation is the rotation of 270^\circ  counterclockwise followed by y  axis of reflection.

Therefore, this is the composition of transformation.

The composition of the given transformation can be written as,

   {r_{y-axis}}o{R_{0,270^\circ}}\left({x,y}\right)

Therefore, option D {r_{y-axis}}o{R_{0,270^\circ}}\left({x,y}\right)  is correct.

Learn more:  

  • Learn more about what is the final transformation in the composition of transformations that maps pre-image abcd to image a"b'c"d"? a translation down and to the right a translation up and to the right a 270° rotation about point b' a 180° rotation about point b' <u>brainly.com/question/2480946</u>
  • Learn more about the transformation of function <u>brainly.com/question/7297858 </u>
  • Learn more about midpoint of the segment <u>brainly.com/question/3269852</u>

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Transformations

Keywords: transformations, dilation, translation, rotation, counterclockwise, angle, clockwise, coordinates, mapping, rigid transformation, right side, left side, quadrant, composition.

3 0
3 years ago
Read 2 more answers
Please help!! it’s due in an hour!!
EleoNora [17]

Answer: 12 months

Step-by-step explanation:

Simplifying the equation makes it

225m=2700

m=12

8 0
3 years ago
Find the missing side of each triangle. i need help!!!
Nezavi [6.7K]

Answer:

√161 yd

Step-by-step explanation:

Hi there!

We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.

We need to find x, which is the other leg in the triangle

If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse

In this case, a=8, b=x, and c=15

So let's substitute those values into the formula

(8)²+x²=(15)²

raise everything to the second power

64+x²=225

subtract 64 from both sides

x²=161

take the square root of both x and 161

x=√161, x=-√161

-√161 cannot work in this case, as distance cannot be negative.

The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further

so the answer is <u>√161 yd</u>

Hope this helps! :)

3 0
3 years ago
Telescope; discount, 30% sale price, 126$
Alika [10]

Answer: The discounted price of the telescope would be $88.20.

4 0
3 years ago
Marika Perez’s gross biweekly pay is $2,768. Her earnings to date for the year total $80,272. What amount is deducted from her p
Angelina_Jolie [31]
Social Security  $4,976.86 and for Medicare  $1,163.94
7 0
3 years ago
Read 2 more answers
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