An investment of $500 earns interest at an annual interest rate of 13%. The equation for this investment is B = 500(1.13)t, where B represents the balance and t is the number of years. Write an equivalent equation that displays the effective monthly interest rate. A) B = 500(1.10)12t B) B = 500(1.12)12t C) B = 500(1.010)12t D) B = 500(1.012)12t

Answers

Answer 1

Answer: C) [tex]B= 500(1.101)^{12t}[/tex]

Step-by-step explanation:

Given : The equation for this investment is B = 500(1.13)t, where B represents the balance and t is the number of years.

For monthly interest , Rate = [tex]\dfrac{r}{12}[/tex]

Time = 12 t  [ 1 year = 12 months ]

As r = 0.13 , so rate = [tex]\dfrac{0.13}{12}\approx0.010[/tex]

Now, the equation will be :

[tex]B=500 (1+0.101)^{12t}[/tex]

[tex]\Rightarrow\ B= 500(1.101)^{12t}[/tex]

Correct option : C) [tex]B= 500(1.101)^{12t}[/tex]


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The equation that relates the time, t, it takes to travel a given distance, d is d = rt

What is Speed?

This is a scalar quantity and can be defined as  the magnitude of the rate of change of its position with time.

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Answer:

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Step-by-step explanation:

Answer:

10 [tex]\frac{1}{2}[/tex] miles in 75 minutes.

Step-by-step explanation:

Let us first analyze the problem,

we are given that she runs 7 miles in 50 mins

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The bedroom is 10 ft. by 8 ft, and the ceilings are 8 ft.

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The answer and the steps is in the photos below

Can someone show me how to solve this step by step?

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9514 1404 393

Answer:

  x = -15

Step-by-step explanation:

It appears the drawing is showing two representations for the distance LK. Of course, they both have the same value.

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_____

Alternate (more sensible) interpretation

If the bottom line is intended to represent LJ, then we have ...

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  x +37 = 25 . . . . subtract x

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The answer is C (4 bicycles)
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_____

Additional comment

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Answer:

94°

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Step-by-step explanation:

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Answer: 20

Step by step explanation:
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What is the perimeter of a rectangle?

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Answer:

I got you :)

Step-by-step explanation:

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Answer:

[tex]\rm\hookrightarrow Lateral\: surface\: area=[/tex]62.8in²

Step-by-step explanation:

[tex]Solution,\\\\Here,\\\\Radius(r)=2in\\\\Height(h)=5in\\\\Now,\\\\\rm\hookrightarrow Lateral\: surface\: area=2\pi rh\\\\\rm\hookrightarrow Lateral\: surface\: area=2\times3.14\times2in\times5in\\\\\rm\hookrightarrow Lateral\: surface\: area=62.8in^{2}[/tex]

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Answer:

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Step-by-step explanation:

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