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alexandr402 [8]
2 years ago
5

Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea

of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year.
Mathematics
1 answer:
Svet_ta [14]2 years ago
6 0

The total balance in Raul's account after 40 years when he retires is $65,714.90.

<h3>What is the total balance?</h3>

The formula that can be used to determine the balance of the accout is: monthly amount saved x annuity factor.

Annuity factor = {[(1+r)^n] - 1} / r

Where:

  • r = interest rate = 1.5/12
  • n = number of periods = 12 x 40 = 480

$100 x [(1.00125^480) - 1 ] / 0.00125 = $65,714.90

Here is the complete question:

Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year. What is the balance in the account after 40 years?

To learn more about annuites, please check: brainly.com/question/24108530

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3 years ago
The areas of two similar triangles are 75m2 and 300m2. The length of one of the sides of the second triangles is 9m. What is the
Ymorist [56]

Answer:

4.5 m

Step-by-step explanation:

The area of two similar triangles are 75 m2 and 300 m2. This gives you the scale factor of the triangles:

\dfrac{A_{small}}{A_{large}}=k^2\Rightarrow k^2 =\dfrac{75}{300}=\dfrac{3}{12}=\dfrac{1}{4}\Rightarrow k=\dfrac{1}{2}.

Then you can find the length of the corresponding side:

\dfrac{side_{small}}{side_{large}}=k\Rightarrow =\dfrac{side_{small}}{9}=\dfrac{1}{2},\ side_{small}=\dfrac{9}{2}=4.5\ m.

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Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A
valentina_108 [34]
<h3><u>Answer:</u></h3>

The formula determine the distance from C to D is:

\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a

<h3><u>Step-by-step explanation:</u></h3>

The formula that can be used to determine the distance from point C to point D is:

\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a

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3 0
3 years ago
What is the solution to the following system?<br> X+2y+z=9<br> X-y+3z=13<br> 2z=10
Vinvika [58]

Answer:  x = 0; y = 2; z = 5

Step-by-step explanation:

x+2y+z=9

x-y+3z=13

2z=10

==

Start with the last equation:  2z = 10, therefore z = 5 [easy]

Let's rewrite the second equation with 1) z=5, and 2) rearrange to find x:

x-y+3z = 13

x - y +3*5 = 13

x = y-2

Now use the values for x [(y-2)] and y [5] in the first equation:

X+2y+z=9

(y-2) +2y + 5 = 9

3y +3 = 9

3y = 6

y = 2

Now that we have y [2] and z [5], let's use the first equation to solve for x:

x+2y+z=9

x + 4 + 5 = 9

x + 9 = 9

x = 0

====

Try the three values (x=0, y=2, and z=5) in any of the formulas.  The result should/will equal the number shown.

5 0
3 years ago
Which one is correct please hurry
nikklg [1K]

Answer:

g

Step-by-step explanation:

it is g because you have to acally read that question

4 0
3 years ago
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