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ivolga24 [154]
2 years ago
12

3r − 9 = –6r solve for r

Mathematics
2 answers:
LenaWriter [7]2 years ago
8 0

Answer:

\boxed {r = 1}

Step-by-step explanation:

Solve for the value of r:

3r - 9 = -6r

-Add 6r to 3r:

3r - 9 + 6r = -6r + 6r

9r - 9 = 0

-Add 9 on both sides:

9r - 9 + 9 = 0 + 9

9r = 9

-Divide both sides by 9:

\frac{9r}{9} = \frac{9}{9}

\boxed {r = 1}

So, the value of r is 1.

vladimir2022 [97]2 years ago
5 0

Answer:

3r − 9 = –6r

-9 = -6r-3r         (you change the signs when bringing +3r to the other side)

-9 = -9r

r = -9/-9

r = 1

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Nora invested $1,500 in a bond at a simple interest rate of 3%. How much will the bond be worth in total after 10 years?
attashe74 [19]
<h2>The bond will be worth in total after 10 years is =$1,950</h2>

Step-by-step explanation:

Given,

Nora invested $1,500 in at a bond simple interest rate of 3%

here P= $1500 R= 3% and t = 10year

Simple interest(I) = \frac{P\times R \times t }{100}

                           =$ \frac{1500\times 3 \times 10}{100}

                           =$ 450

<h3>The bond will be worth in total after 10 years is = $1,500+ $450</h3><h3>                                                                                      =$1,950</h3>

8 0
2 years ago
Marie made the box plot below to display a set of data. Which set of data could the box plot represent?
Assoli18 [71]

Answer:

  see below

Step-by-step explanation:

First of all, you want to find the data set the matches the extreme values of 5 and 35. That eliminates the 2nd and 4th choices.

Then you want to find the data set that has a median of 15. The first data set has a middle value (median) of 20, so that choice is eliminated.

The data set of the 3rd choice matches the box plot extremes, median, and quartile values.

7 0
2 years ago
Ms. Hernandez gave her students a math test
emmainna [20.7K]

Answer:

85-86%

Step-by-step explanation:

Make it an equation

You want to find the percent out of a hundred, so 42 is 100 since it is all of the questions and 36 is the unknown percent X

36/42 = X/100

36             X

42             100

Cross multiply

Do math and solve for X

36 x 100 = 42 x X

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7 0
2 years ago
Luke's water bottle holds 2,150 milliliters. He drinks 3.5 bottles of water each day. How many milliliters of water does he drin
sashaice [31]

Answer:

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Step-by-step explanation:

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4 0
2 years ago
if you deposit $8000 into an account paying 9% annual interest compunded semi anually how long will it take for your money to do
Anna007 [38]

Answer:

7.87 years

Step-by-step explanation:

#First we determine the effective annual rate based on the 9% compounded semi annual;

i_m=(1+i/m)^m-1\\\\=(1+0.09/2)^2-1\\\\=0.09203

#We then use this effective rate in the compound interest formula to solve for n. Given that the principal doubles after 2 yrs:

A=P(1+i)^n\\\\A=2P, i=i_m\\\\16000=8000(1.09203)^n\\\\2=1.09203^n\\\\n=\frac{log \ 2}{log \ 1.09203}\\\\=7.87324\approx7.87 \ yrs

Hence, it takes 7.87 years for the principal amount to double.

4 0
3 years ago
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