Felix invested $10,000 into a retirement account in 2010. He then projected the amount of money that would be in the account for several years assuming that the interest will compound continuously at an annual rate. Later, when he looked back at the data, he could not recall the annual he used for the projections. Use the data below to determine the annual rate as a percent. (Remember use A=Pert for continuous interest problems where P=initial amount invested, r is the interest rate as a decimal and t is the time in years).

Answer:

33,920 acres of forest were burned.

Step-by-step explanation:

In this case, since you know that a square mile is equal to 640 acres, you can use a rule of three to find the acres that are equivalent to 53 square miles:

    1 square mile    →    640 acres

53 square miles    →         x

x=(53*640)/1

x=33,920 acres

According to this, the answer is that 33,920 acres of forest were burned.

Answer:

plug in the day to the equation:

November 1st is day 305, so November 24th would be day 328

y = 116.65 sin(0.02(328) +1.89) + 731.71

= 116.65 sin(8.45) + 731.71

= 828.247 minutes of daylight

≈ 13.8 hours or 13:48 (because .8 of an hour is ≈ 48 minutes)

Answer:

The restaurant cooked 3/10 as many cashews on Tuesday

Step-by-step explanation:

If the word problem says that they used 3/5 of a bag of cashews on Monday, and they used 1/2 AS MANY.

So "as many" gives us a clue to multiply.

3/5 * 1/2 = 3/10

So the restaurant cooks 3/10 bag of cashews on Tuesday

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B is correct.  That '1' represents the lunch bill.  That '0.2' represents the 20% top.  Total final bill is (1 + 0.20)L

Answer:

B. L (1+0.2) is the answer

Answer:

8,100

Step-by-step explanation:

To get the area of a square you must multiply one length by width 90 x 90 = 8100

The area of the infield with each side 90 feet long is,

⇒ Area of the infield = 8100 feet²

The multiplication means to add or sum a number to itself a particular number of times. And, The Multiplication can be viewed by a process of repeated addition.

We have to given that;

The infield of a baseball diamond is shaped like a square.

And, Each side is 90 feet long.

Hence, The area of the infield is,

⇒ Area of the infield = side²

Here, We have;

Side of infield = 90 feet

Hence, We get;

⇒ Area = 90²

⇒ Area = 90 x 90 feet²

⇒ Area = 8100 feet²

Therefore, We get the correct answer is;

The area of the infield with each side 90 feet long is,

⇒  Area of the infield = 8100 feet²

Learn more about the multiplication visit:

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3 Answers

The correct box plot is shown below.

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Explanation:

The first step when constructing a box plot is to sort the data from smallest to largest. That has already been done for us, so we can move to the next step.

For step 2, we need to find the median. This is the middle-most value. Write out all of the values on one horizontal line. Then cross off the first and last values. You'll end up with a smaller set, with two values tossed out. Repeat this process (cross off the first and last items) and keep doing this until you work your way toward the very middle position. There are 19 numbers in this list, which is an odd number, this means that the middle value is in slot 10 (note how 19/2 = 9.5 which rounds to 10). We have 9 values below the median and 9 values above the median. So 9+1+9 = 19 items total.

You should find that the value 55 is at slot 9, and at the very middle. So 55 is the median. Billy marked on the box plot that the median is at 50, so this is one mistake he made. Choice C is one of the answers

Note: the median is the vertical bar inside the box of the box-and-whisker-plot.

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Once you have the median, break the list into two halves like so:

L = {25,25,30,30,35,35,40,45,50}

U = {60,60,60,70,85,90,95,95,105}

L is the lower set of values smaller than the median, U is the upper set of values larger than the median. Set L and set U have 9 items each. Note the median of 55 is not part of set L nor is it part of set U either.

Repeat the process to find the median, but you'll do so on sets L and U separately. The median of set L is 35, so this is the value of Q1 or the first quartile.

The left edge of the box is the visual location of Q1. We can see that Billy marked Q1 at 30, but it should be at 35. So this is another mistake he made. Choice B is one of the answers

The median of set U is 85. We have four values below 85, and four values above 85 in set U. This makes Q3 to be 85. However, Billy marked the third quartile at 80 instead of 85. This is another mistake. Choice D is one of the answers.

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To summarize his 3 mistakes, they are:

The good news is that he got the minimum correct because 25 is the smallest value. The min value is the left-most tip of the left whisker. The max is also in the correct location since 105 is the largest item. As you can probably guess, the max is located at the right-most tip of the right whisker.

See the attached image below to see how Billy should have drawn the box plot.

Answer:

[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

[tex]8x - 10 + 4x + 52 = 90 \\ 8x + 4x - 10 + 52 = 90 \\ 12x + 42 = 90 \\ 12x = 90 - 42 \\ 12x = 48 \\ x = \frac{48}{12} \\ x = 4[/tex]

Now, the value of the angles,

[tex]8x - 10 \\ = 8(4) - 10 \\ = 32 - 10 \\ = 22[/tex]

[tex]4x + 52 \\ = 4(4) + 52 \\ = 16 + 52 \\ = 68[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\purple{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]

Answer:

1.75

Step-by-step explanation:

h(t) = -16t² + 56t

h'(t) = -32t + 56

To find time at max height equate h' to 0

0 = -32t + 56

t = 56/32 = 1.75 s

It takes 1.75 s to reach max highest point

Answer:the value would be 6-10

Step-by-step explanation:

Answer:

JUNG HOSEOK PARK JIMIN KIM TAEHYUNG JEON JUNGKOOK BTS!!!

Step-by-step explanation:

Also, I answered about 12 hours late but oh well lol.

I don't stan any other groups beside BTS. But I do casually listen to other kpop groups ofc :)

Answer:

4 quarts

Step-by-step explanation:

1 cup = 8 ounces

quart = 2 cups

So this is easy => just do 64/8 which is 8 cups

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Then, you do 8 cups/2 to make quarts.

so answer is 4 quarts :)

Answer:

50600

Step-by-step explanation:

40/100×5500

=2200×2300×100

=50600

If its right brainyest pls

Answer:

V≈100.5

Step-by-step explanation:

V=πr2h=π·22·8≈100.53096

Answer:

678.58 ft^3

Step-by-step explanation:

V=πr2h/3

25.12/12.5663706 = 1.99898608

1.99898608 X 3 = 5.99695826

h= 6ft

6/2 = 3

6 * 3 = 18

V = π * 6^ * 18/3

V = 678.584013

Answer:

1.42

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

Step 1: convert 3 1/3 to improper fraction. Use thus rule a b/c=ac+b/c. 5 divided by 3x3x+1/3

step 2: simplify 3x3 to 9 5 divided by 9+1/3

Step 3: simplify 9+1 to 10. 5 divided by 10/3

Step 4: use the rule a divided by b/c=axc/b 5x3/10

Step 5: use this rule: axb/c=ab/c 5x3/10

Step 6: simplify 5x3 to 15 so 15/10

Step 7: simplify to 3/2

Last step: Convert to a mixed fraction.. Which would leave us with 1 1/2 or 1.5 in decimal form.

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

NC = 4

Step-by-step explanation:

BC/MN = AC/AN

25/15 = AC/6

15AC = 25 × 6

3AC = 5 × 6

AC = 5 × 2

AC = 10

AN + NC = AC

6 + NC = 10

NC = 4

Respuesta:

4

Explicación paso a paso:

BC/AN

MN:AC

⇒25/x= 15/6                     {Multiplicación cruzada}

15x=150

⇒AC=10

∵NC= AC-AN

∴NC=10-6 =4

Answer:

Answer is A.

Step-by-step explanation:

x^2-15x-16

x^2+x-16x-16

x(x+1)-16(x+1)

(x+1)(x-16)=0

x=-1 and x=16

Answer:

78.54

Step-by-step explanation:

Answer:

Circumference of a circle in terms of radius:

Circumference = 2·π·r = 2·3.14·5 = 31.42 mm.(*)

In terms of diameter:

Circumference = π·d = 3.14·10 = 31.4 mm.(*)

In terms of area:

Circumference C = √4·π·A = √4·π·78.54 = 31.42 mm.(*)

Step-by-step explanation:

Note: For simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.

Answer:

FV = 60

Step-by-step explanation:

VG => 65 × 2 = 130

FH major arc=> 119 × 2 =  238

FH major arc -  GH = FG

FG => 238 - 168 = 70

VG - FG major arc = FV

FV => 130 - 70 = 60

Answer:

60 degrees

Step-by-step explanation:

The measure of an inscirbed angle is half the measure of the intercepted arc.

(The measure of the arc is twice the measure of the angle!)

The inscribed angle at V  intercepts an arc of 2 x 119 = 238 degrees, so the measure of arc FGH is 238.  Subtract arc GH from that, 238 - 168 = 70, so that is the measure of arc FG.

The angle at H intercepts an arc with measure 2 x 65 = 130.  The measure of arc VFG is 130.  But arc FG is part of that, so subtract its measure from 130.  130 - 70 = 60.

The measure of arc FV is 60 degrees.

Answer:

A. 6(4a²-2)

Step-by-step explanation:

Got it correct… You’re welcome.

Answer:

Part A = 91.125in²

Part B = 8 boxes

Step-by-step explanation:

Work is underlined

Normal text = explanation

Hey There!

What we want to do to find how many supply boxes can fit inside of the larger box is find the volume of the larger box and divide that by the volume of the supply boxes.

To find the volume of the supply boxes:

We are told that the supply box is in the shape of a cube.

That being said we can find the volume by using this simple formula

[tex]V=s^3[/tex]

where s = side length

The supply box has a side length of 4.5 so we just plug in 4.5 into the formula

[tex]V=4.5^3\\4.5*4.5*4.5=91.125[/tex]

So we can conclude that the volume of the supply box is 91.125 square inches.

Now to find the volume of the larger box.

The larger box is in the shape of a rectangular prism.

The volume of a rectangular prism can be found by multiply the width by the length by the height.

The box has the following dimensions:

width = 18 in

height = 4.5 in

length = 9 in

This means that the volume = 9 * 4.5 * 18

9 * 4.5 = 40.5

40.5 * 18 = 729.

so the volume of the larger box is 729 square inches.

Now we want to find how many little boxes can fit inside the larger box.

Like stated before this can be done by dividing the volume of the little boxes by the volume of the larger box

so # of supply boxes that can fit inside of the larger box = [tex]\frac{729}{91.125}[/tex]

Using a calculator: [tex]\frac{729}{91.125} =8[/tex]

Hence, 8 smaller boxes can fit inside of the larger box

Step-by-step explanation:

Hell yes, I'll take 5 please

Answer:

Yes! Wet teddy bears are fire! I'll take 4, pls!

Step-by-step explanation:

Answer:

I need the whole question..

Step-by-step explanation:

Have a nice day!

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Explanation:

The general form of an exponential function is

y = a*b^x

where 'a' is the initial starting amount and b helps determine if we have exponential decay or exponential growth, and how much of it.

We have a = 330 as the initial amount. Since b = 1.06 is larger than 1, this means we have exponential growth. If 0 < b < 1, then we would have exponential decay.

Solving 1+r = 1.06 leads to r = 0.06 = 6%, showing we have a growth rate of 6%

This means that if we started with say 100 people, and the population grew by 6%, then at the end of the time unit (say 1 year), then we'd have 106 people.