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2 years ago

You loan your brother $300 and charge him 2% simple annual interest. He promises to

Mathematics

2 answers:

evablogger [386]2 years ago

5 0

Answer:

$306

Step-by-step explanation:

In one year, the 2% annual interest would have been applied once. Therefore, your brother would pay you 1.02 * 300 which is 306.

Hope this helps :)

kvv77 [185]2 years ago

3 0

Answer: 306 dollars

===========================================

Work Shown:

i = P*r*t ..... simple interest formula

i = 300*0.02*1

i = 6

Your brother pays $6 in simple interest on top of the $300 in principal loaned to him. The total amount he pays back is 300+6 = 306 dollars.

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Another way to calculate the answer is to do these steps

A = P*(1+r*t)

A = 300*(1+0.02*1)

A = 300*(1.02)

A = 306

The 1.02 represents a 2% increase when going from 300 to 306.

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A line passes through the point (4, -6) and has a slope of -3/4. Which is the

soldi70 [24.7K]

Answer:

I have not dealt with slope for a while but if its in the form y=mx+b then the x is the slope so it would be -3/4x and b is the y intercept. the y in the cords is -6

Step-by-step explanation:

y= -3/4x -6

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3 years ago

Describe the rule for the sequence 2, 1, 2/3, 1/2, 2/5, 1/3, 1/7,...

Triss [41]

Multiply 2 by 1/2 to get 1.

Multiply 1 by 2/3 to get 2/3.

Multiply 2/3 by 3/4 to get 6/12 = 1/2.

Multiply 1/2 by 4/5 to get 4/10 = 2/5.

Multiply 2/5 by 5/6 to get 10/30 = 1/3.

Multiply 1/3 by 6/7 to get 6/21 = 2/7. (I suspect there's a typo in the question.)

And so on, so that the nth term in the sequence is multiplied by n/(n + 1) to get the (n + 1)th term.

Recursively, the sequence is given by

$\begin{cases}a_1=2\\a_n=\dfrac{n-1}na_{n-1}&\text{for }n>1\end{cases}$

We can solve this exactly by iterating:

$a_n=\dfrac{n-1}na_{n-1}=\dfrac{n-1}n\dfrac{n-2}na_{n-1}=\dfrac{n-1}n\dfrac{n-2}{n-1}\dfrac{n-3}{n-2}a_{n-3}=\cdots$

and so on down to

$a_n=\dfrac{(n-1)\cdot(n-2)\cdot(n-3)\cdot\cdots\cdot3\cdot2\cdot1}{n\cdot(n-1)\cdot(n-2)\cdot\cdots\cdot4\cdot3\cdot2}a_1$

$a_n=\dfrac{(n-1)!}{n!}a_1$

and with lots of cancellation, we end up with

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3 years ago

BRAINLIEST WILL BE PICKED!

Snowcat [4.5K]

My other answer was was lacking (I also believe I should have furthermore edited it.), therefore I will attempt to explain the steps correctly this time. I don't know what exactly is requested nor what you are learning, but I suspect it would be combinations, factorials, and/or permutations, something along those lines. Firstly I figured out my answer using factorials.

FROM: F,R,O,M. This obtains 4 letters.

4! (1 x 2 x 3 x 4)= 24

I am unsure if this is what you are looking for though. I hope this helped a bit.

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3 years ago

Consider the line =−−8x6y1.

ICE Princess25 [194]

Answer:

Below

Step-by-step explanation:

Well I can't really see the equation but I can tell you how to do it.

Parallel slopes are the same slope as the equation.

For example, y = mx + b

The slope of a line parallel to it is m

Perpendicular slopes are the opposite reciprocal as the equation.