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2 years ago

What is the equation of the line whose y-Intercept is 3 and slope is 1?

Mathematics

1 answer:

Arada [10]2 years ago

5 0

y = x + 3

as x increases by 1, y increases by 1 (Slope)

when x equals 0, y equals 3 (y-intercept)

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4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take

Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

$A(t)=P(1+r)^t$

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:

$33800=4400(1+.075)^t$ and

$33800=4400(1.075)^t$

Begin by dividing both sides by 4400 to get

$7.681818182=1.075^t$

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

$ln(7.6181818182=ln(1.075)^t$

The power rule of natural logs says we can move that exponent down in front, giving us:

$ln(7.681818182)=t*ln(1.075)$

Divide both sides by ln(1.075) to get

$\frac{ln(7.61818182)}{ln(1.075)} =t$

Do this division on your calculator to get

t = 28.2 years

6 0

2 years ago

Read 2 more answers

a science quiz has eight multiple choice questions with five choices for each. Find the total number of ways to answer the quest

almond37 [142]

Answer:

390625

Step-by-step explanation:

The questions are all independent -- the answer on one question does not limit the number of possible answers on another question.

The quiz has 5 choices for each question, so there are

$5\times5\times5\times5\times5\times5\times5\times5$ ways to answer the quiz questions.

Notice that this could be written $5^8$ . You could say that the number of ways to answer the questions is

$number \, of \, choices^{number \, of \, questions}$

Use a calculator to find $5^8$

8 0

2 years ago

The following are the temperatures of 10 days in winter in °C. − 3 , 0 , 10 , 2 , 8 , − 5 , − 1 , 9 , 2 , − 3 Work out the mean

marissa [1.9K]

The mean temperature of the given data − 3 , 0 , 10 , 2 , 8 , − 5 , − 1 , 9 , 2 , − 3 is 1.9

mean= 1.9

The mean, or average, is calculated by adding up the data and dividing by total number of data.

Given data: − 3 , 0 , 10 , 2 , 8 , − 5 , − 1 , 9 , 2 , − 3

Now, mean = $\frac{sum \;of\; observation}{Total \;number \;of \;observation}$

mean = $\frac{(-3)+ 0+10+2+8+(-5)+ (-1)+ 9+2+(-3)}{10}$

= $\frac{19}{10}$

mean= 1.9

Hence, the mean of − 3 , 0 , 10 , 2 , 8 , − 5 , − 1 , 9 , 2 , − 3 is 1.9

Learn more about mean here:

brainly.com/question/22871228

#SPJ1

3 0

1 year ago

Ninety-eight thousand ,five (how to write in numerical)?

Anarel [89]

Answer:

98005

Step-by-step explanation:

ninety-eight thousand = 98000

five = 5

together = 98005

7 0

2 years ago

Can someone help please ? Thanks I’m advance

Pani-rosa [81]

Answer:

f(-3) = 16

Step-by-step explanation:

Given:

f(x) = 2x² + x + 1

Required:

f(-3)

Solution:

Substitute x = -3 into f(x) = 2x² + x + 1

f(-3) = 2(-3)² + (-3) + 1

f(-3) = 2*9 - 3 + 1

f(-3) = 18 - 3 + 1

f(-3) = 16

6 0

3 years ago