An initial amount of money is placed in an account at an interest rate of 3% per year, compounded continuously. After six years, there is $1819.77 in the account. Find the initial amount placed in the account. Round your answer to the nearest cent.

The roots of an equation are simply the x-intercepts of the equation.

See below for the proof that [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex] has at least two real roots

The equation is given as: [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex]

There are several ways to show that an equation has real roots, one of these ways is by using graphs.

See attachment for the graph of [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex]

Next, we count the x-intercepts of the graph (i.e. the points where the equation crosses the x-axis)

From the attached graph, we can see that [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex] crosses the x-axis at approximately -2000 and 2000 between the domain -2500 and 2500

This means that [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex] has at least two real roots

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Answer:

C. y--intercept

because it is y axis so cant write x--intercept

Answer:

Part 1:

Make a scatterplot that represents this data. You may use a program such as Excel, or make the scatterplot by hand and scan it.

Part 2:

Does this data have a positive correlation, negative correlation, or no correlation?

Part 3:

Without the use of technology, find the equation of the line of best fit for the data. Tell which points that you used and show the steps you used to get the equation. Refer to the first 4 steps on page 2 of the lesson titled "Linear Regression - Line of Best Fit" to use as a guide.

Part 4:

Use the equation found in part 3 to predict the scores for two people who studied for 15 hours and 9 hours. Refer to the last step on page 2 of the lesson titled "Linear Regression - Line of Best Fit" to use as a guide.

Compile the results from parts 1 through 4 and put them in a Word document. Submit the document to your teacher.

Step-by-step explanation: help

9514 1404 393

Answer:

  0.9114

Step-by-step explanation:

The multiplier for a series of changes is the product of the multipliers for each of the changes:

  (1 -2%)(1 -7%) = (0.98)(0.93) = 0.9114

Answer:

open left

Step-by-step explanation:

We can distribute the left side to get [tex]3x-27<-18[/tex].

We can then add [tex]27[/tex] to both sides of the equation to get [tex]3x<9[/tex].

We can finally divide both sides of the equation to get [tex]x<3[/tex].

Because it's a [tex]<[/tex] and not a [tex]<=[/tex], it is closed. And because the inequality opens to the right, it faces to the left.

So, it is a open left graph.

It's the answer If you liked it Plz BRAINLIEST

Answer:

27+n,\frac{n}{5}

5

n

,\sqrt{n+144}

n+144

Step-by-step explanation:

27+n,\frac{n}{5}

5

n

,\sqrt{n+144}

n+144

Answer:

The estimate is too low

Step-by-step explanation:

46×6=276 which isn't a very close estimate. However if you used 46×7=322 the estimate would be OK. Now if you used 46×8=368 that would be too high of an estimate here. In simpler terms 1 to 6 is too low of an estimate here and 8 to 9 is too high of an estimate. The number 7 is the middle ground here. Hope this helped.

Answer:

d

Step-by-step explanation:

i thinck d i am not shor

1340 = 1.34 x 10^3

Remember that scientific notation has a number between 1 and 10 multiplied by 10 to a certain power. To find the exponent, count the number of times you moved the decimal point.

Hope this helps!! :)

Answer:

Area: [tex]5x[/tex], Perimeter: [tex]2x+10[/tex]

Step-by-step explanation:

a)

We know that for any rectangle the area is [tex]l*w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

Because the width is [tex]x[/tex] and the length is [tex]5[/tex], the area is [tex]x*5[/tex] or [tex]5x[/tex].

b)

We know that for any rectangle the perimeter is [tex]2(l+w)=l+w+l+w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

Because the width is [tex]x[/tex] and the length is [tex]5[/tex], the perimeter is [tex]2(x+5)=2x+10[/tex].

So, the answers are [tex]Area:5x,~Perimeter:2x+10[/tex]

Answer:

1.) 9+10=21

2.) about like. . . 20 feet

3.)L S T E R

Answer:

0.477121=−log(3x+7)+0.30103

Step 1: Flip the equation.

−log(3x+7)+0.30103=0.477121

Step 2: Add -0.30103 to both sides.

−log(3x+7)+0.30103+−0.30103=0.477121+−0.30103

−log(3x+7)=0.176091

Step 3: Divide both sides by -1.

log(3x+7)=−0.176091

Step 4: Solve Logarithm.

log(3x+7)=−0.176091

10log(3x+7)=10−0.176091

3x+7=0.666667

3x+7−7=0.666667−7(Subtract 7 from both sides)

3x=−6.333333

3x

3

=

−6.333333

3

(Divide both sides by 3)

x=−2.111111

Step-by-step explanation:hope this helps

Answer:

96

Step-by-step explanation:

A=6a²=6·4²=96

Answer:

Heliul are proprietăți chimice atât de diferite de cele ale celorlalte elemente încât nu poate fi plasat în niciun grup.

Step-by-step explanation:

Answer:

y = - 1/5x +8

Step-by-step explanation:

Answer:

ew

Step-by-step explanation:

Answer: You"ll earn $884 because we know that 707.20 divided by 32 equals 22.1 and 22.1x40 = $884. Therefore, you"ll make $884 for 40 hours.

Answer:

54

Step-by-step explanation:

If at June 1, 2022, Sheffield Corp. had an Accounts Receivable balance of $ 18,900. During the month, the company had credit sales of $

24,500 and collected Accounts Receivable of $ 28,500. The balance in Accounts Receivable at June 30, 2022 will be: $14,900

Using this formula

2022 Balance in Accounts Receivable=Accounts Receivable balance as on June 1, 2022+ Credit sales  -Collected Accounts Receivable

Let plug in the formula

2022 Balance in Accounts Receivable=$18,900+$24,500-$28,500

2022 Balance in Accounts Receivable=$14,900

Inconclusion if at June 1, 2022, Sheffield Corp. had an Accounts Receivable balance of $ 18,900. During the month, the company had credit sales of $

24,500 and collected Accounts Receivable of $ 28,500. The balance in Accounts Receivable at June 30, 2022 will be: $14,900

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[tex]\\ \sf\longmapsto \dfrac{w^2x-3}{10z}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(-9)^2(2.7)-3}{10(-2/5)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{81(2.7)-3}{-2(2)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{218.7-3}{-4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{215.7}{-4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{216}{-4}[/tex]

[tex]\\ \sf\longmapsto -44[/tex]

Step-by-step explanation:

(-9)^2(2.7)-3/10(-2/5

= 81(2.7)-3/-2(2)

= 218.7-3/-4

= 215.7/-4

= -44

Answer:

you need 13.5 water stations

Step-by-step explanation:

1 km = 1000 meters

5km = 5000 meters

(5,000m / 400m) + 1  = 13.5

Answer:

Move all terms not containing

g

to the right side of the equation.

Exact Form:

g

=

46/5

Decimal Form:

g

=

9.2

Mixed Number Form:

g

=

9 1/5

.:

Answer:

g = 2 1/5

Step-by-step explanation

get g by itself by canceling out the 5

whatever you do to one side you have to do to the other side.

5-5 leaves you with nothing but the g on the left side of the equals sign

7 1/5 -5= 2 1/5

so your left with g= 2 1/5

g + 5 = 7 1/5

    -5     -5

g  = 2 1/5

The confidence interval for the mean gives an estimated range in which the true population mean of the data resides. Since, the fan uses all the population data, then he could find the population mean directly.

Therefore, since the fan is already using all the population data, then he could just calculate the population mean directly.

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Answer:

hakjafhskjfhakjhf Y=mx + b

Step-by-step explanation:

Yep Yep thats how you do it

Answer:

xfjsryjfncbhzdjdzetjz

Step-by-step explanation: