Find the slope of the line whose equation is 4x - 6y = 8.
a. 2/3
b. -2/3 3/2

Answers

Answer 1

Answer: To find the y-intercept, you have to let X = 0...

Therefore you get 4(0)-6y=12
-6y=12
y = -2

To get the slope, you have to rearrange the equation into y = mx + c form.
Therefore. -6y = -4x + 12
You need a single y, so divide through by -6.
y = -4x/-6 +12/-6

Your slope is the number in front of the x variable. I.e -4/-6
Simplify it to, 2/3.

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avocados cost $3 per pound. write and graph an equation in two variables that represents the cost of buying avocados

Answers

pounds will be represented by x and the cost will be represented by y. The equation is Y=3x. For the graph just use substition for x and then calculate the outcome and graph it.

A juice stand uses 11 cups of strawberries to make 6 pitchers of juice. What is true about the number of cups of strawberries in each pitcher?

Answers

use ratio and proportion 11/6=x/1 cross multiply x= 15/6 which is approximately 2 cups

There is less than one cup of strawberries in one pitcher of juice.

Jodi is retiring at the age of 65. When she retires, she estimates that she will need a monthly income for 25 years. If Jodi starts with $328,133.32 in an account that pays 6.2% interest compounded monthly, approximately what monthly income will she be able to draw? a. $2,665 b. $2,154 c. $1,948 d. $1,094

Answers

Jodi can draw a monthlyincome of approximately $2,154 from her investment.

Option B is the correct answer.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compoundinterest after n years is given as:

A = P $(1 + r/n)^(nt)$

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

The first step to solve this problem is to find the futurevalue (FV) of the initial investment of $328,133.32 over 25 years, compounded monthly at 6.2% interest rate.

We know that the futurevalue (FV) can be calculated using the formula:

$FV = PV * (1 + r/12)^(n *12)$

Where:

PV = Present value (initial investment) = $328,133.32

r = Interest rate per year = 6.2%

n = Number of years = 25

Substituting the values, we get:

$FV = $328,133.32 * (1 + 0.062/12)^(25 * 12)$

FV ≈ $889,076.76

The futurevalue (FV) of the investment after 25 years is approximately $889,076.76.

Next, we need to calculate the monthlyincome that Jodi can draw from this investment.

To do this, we can use the formula for the present value (PV) of an annuity:

$PV = C * [1 - (1 + r/12)^(-n *12)] / (r/12)$

Where:

C = Monthly income

r = Interest rate per year = 6.2%

n = Number of years = 25

We need to solve for C, which is the monthly income that Jodi can draw from the investment.

Substituting the values, we get:

$$889,076.76 = C * [1 - (1 + 0.062/12)^(-25 * 12)] / (0.062/12)$

Simplifying this equation, we get:

C ≈ $2,153.96

Therefore,

Jodi can draw a monthlyincome of approximately $2,153.96 from her investment.

Rounding to the nearest dollar, the answer is B. $2,154.

Learn more about compoundinterest here:

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Answer:

Answer is B just took the test.

Step-by-step explanation:

If the number of concerts held in a city is correlated to the number of local radio channels, what third variable might most likely be responsible for this correlation?the number of songs played on each channel

the weather conditions of the city

the number of music lovers in the city

the duration of each concert

Answers

The most logical answer to this is the third option:

the number of music lovers in the city

Since this variable will most likely be related to the number of concerts in a city and the number of local radio channels in the same place

Why is -√10 an irrational number?