If $5,500 is invested at 9% annual interest, which is compounded continuously, what is the account balance after 10 years, assuming no additional deposits or withdrawals are made?

Answer:

129.1 square units

Step-by-step explanation:

First, let's find the area of the rectangle. We can use the formula below.

[tex]a=lw[/tex]

where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

The length of the rectangle is 13 and the width is 8.

[tex]l=13\\w=8[/tex]

Substitute the values into the formula.

[tex]a=13*8[/tex]

[tex]a=104[/tex]

Next, let's find the area of the semicircle. We can use the formula below.

[tex]a=\frac{1}{2} *\pi r^2[/tex]

First, find the radius. The radius is half of the diameter, and the diameter is 8.

⇒ r= d/2

⇒ r= 8/2

⇒ r= 4

[tex]a=\frac{1}{2} *\pi (4)^2[/tex]

Evaluate the exponent.

⇒ 4² = 4*4 = 16

[tex]a=\frac{1}{2} *\pi *16[/tex]

Multiply pi and 16.

[tex]a=\frac{1}{2} *50.2654825[/tex]

Multiply.

[tex]a=25.1327412[/tex]

Finally, find the area of the figure.

Add the area of the rectangle (104) and the area of the semicircle (25.1327412)

[tex]104+25.1327412[/tex]

[tex]129.132741[/tex]

Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 1 in the tenth place.

[tex]129.1[/tex]

The area of the figure is about 129.1 (square units).

Answer:

C is the answer

Step-by-step explanation:

Answer:

Its the third bubble

Step-by-step explanation:

Hope I helped you.

Answer:

[tex]4 .68702\times 10^{ 3} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

Jason's camp counselor job pays a higher rate than Mia's lifeguard job.

Jason's job pays $9 a hour.

Mia's job pays $8.75 a hour.

52.50 divided by 6 equals 8.75

70.00 divided by 8 equals 8.75

43.75 divided by 5 equals 8.75

Step-by-step explanation:

Answer:

C. Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.

Step-by-step explanation:

I took the quiz

Answer:

3^4

Step-by-step explanation:

One of the laws of exponents is that when you are multiplying exponents with the same base, then you add their powers. So,

3^5 x 3^3 = 3^8

Another law is when dividing exponents with the same base, you can subtract the powers. So,

3^8/3^4 = 3^4

Hope this helps!

Step-by-step explanation:

3 x^2 - 15x - 108 = 0

divided by 3

x^2 - 5x - 36 = 0

factorice

(x= -9)(x= 4)=0

x=9 , x= -4

Answer:

-3 (x + 5x )(x + 36

Step-by-step explanation:

The answer here will be [tex]A[/tex].

Answer:

The is answer is A

Step-by-step explanation:

It is A because when you look at the graph it is past ten and it is more than or equal to 75%

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

division

Step-by-step explanation:

-6x/-6 = -24/-6

x = 4

Answer:

-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

You have to follow the order of operations so first off, we'd do -(32-12) which is negative twenty.

Now we're left with;

-20 + 4/2

Here we're going to do division before we add so,

4/2 is 2

All that's left would be,

-20 + 2 which equals -18

Hope that helps, and have a great day!

[tex]6561m^{8}n^{3}[/tex]

Part a.

x = price of car B

x-130645 = difference in price from car A to car B

If x is the larger price, then x-130645 will be positive. If x is the smaller price, then x-130645 is negative.

In short,

Using absolute value will give us

|x-130645| = positive difference in price

The result of an absolute value is never negative

We write the |x-130645| > 10000 to indicate that the difference in price is more than 10000 dollars.

-----------

Answer:  | x-130645 | > 10000

================================================

Part b.

We'll use the idea that if |x| > k, then x < -k or x > k

to get the following

|x-130645| > 10000

x-130645 < -10000 or x-130645 > 10000

x < -10000+130645  or  x > 10000+130645

x < 120645  or  x > 140645

-----------

Answer:

Car B has a price less than $120,645

OR

Car B has a price greater than $140,645

So basically anything that is not between 120645 and 140645. The price has to be positive of course.

Answer:

First, use the table above to start putting the answers into your memory. Then use the Math Trainer - Multiplication to train your memory, it is specially designed to help you memorize the tables. Use it a few times a day for about 5 minutes each, and you will learn your tables.

Answer:

Well I learned the tables when I was 5 or 6 years old.

Step-by-step explanation:

My mum checked me regularly.

I remember that green sheet with numbers...

Train your memory and tell your brain that you CAN do it...

The main thing is, don't give up!

Answer:

Look below

Step-by-step explanation:

To figure whether a line is perpendicular or parallel check the slopes

When a line is parallel the slopes are the same

When a line is perpendicular the slopes are negative reciprocals

40. Neither (They aren't the same nor a negative reciprocal)

41. Neither (When you put y on the left it isn't a reciprocal)

42. Parallel (The slopes are both -3/2)

To do 43-44 make sure that the slopes are the same then plug in the points to to find the y-intercept (make sure you solve for b)

43. y = -4x - 1

44. y = 2x + 1

For 45-46 do the same thing, but make sure you change the slope to a negative reciprocal since its perpendicular

45. y = -3/2x-11

46. y = 1/4x+4

Answer:

13,200 feet

Step-by-step explanation:

5,280 x 2 1/2 = 13,200

Answer:

13200

Step-by-step explanation:

5280 / 2 = 2640

5280+5280+2640=13200

2640 is half of 5280, which means it is the 1/2 part.

Answer:

0 (A)

Step-by-step explanation:

just cancel equal terms on both size

Answer:

yes

Step-by-step explanation:

Answer:

14.8%

Step-by-step explanation:

The formula for market share = Total sales of the company at a particular period/ Total sales of the market × 100%

Total sales of the company = Breyer's sales = $650,417,792

Total sales of the market = Total sales in the ice cream category market = $4.4 billion

= $650,417,792/ $4,400,000,000, × 100

= 14.782222545%

Therefore, approximately to the nearest tenth, Breyer's market share is 14.8 %

Answer:

17x+4

Step-by-step explanation:

Just Multiply the Expression:

15x+6+2x-2

17x+4

Answer: 17x+4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

a-3>-7

collect like terms

a>-3-7

a>-10

Answer:

Step-by-step explanation:

2x² + 5x + 2=0  (roots or zeros)

(2x+1)(x+2)=0

2x+1=0 ⇒ x=-1/2 or -0.5

x+2=0 ⇒ x=-2

x² - 4x + 3=0

(x-3)(x-1)=0

x-3=0 ⇒ x=3

x-1=0 ⇒ x=1

Answer:

0.11111111111

Step-by-step explanation:

0.11111111111

Answer:

1/6

Step-by-step explanation:

1/3 times 1/3 is equal to 1/3^2

1 * 1/ 3*3

1/6

Answer:

Step-by-step explanation:

4.

[tex]3=\left|2k+7\right|\\\\\mathrm{Switch\:sides}\\\left|2k+7\right|=3\\\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\2k+7=-3\quad \mathrm{or}\quad \:2k+7=3\\\\2k+7=-3\quad :\quad k=-5\\\\2k+7=3\quad :\quad k=-2\\\\\mathrm{Combine\:Solutions:}\\k=-5\quad \mathrm{or}\quad \:k=-2[/tex]

6.

[tex]3\left|m+8\right|=39\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3\left|m+8\right|}{3}=\frac{39}{3}\\\\Simplify\\\left|m+8\right|=13\\\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\m+8=-13\quad \mathrm{or}\quad \:m+8=13\\\\m+8=-13\quad :\quad m=-21\\m+8=13\quad :\quad m=5\\\\\mathrm{Combine\:Solutions:}\\m=-21\quad \mathrm{or}\quad \:m=5[/tex]

Answer:

4. k = -2 or k = -5

6. m = 5  or m = -21

Step-by-step explanation:

Here is the rule:

To solve an absolute value equation, get the absolute value alone on one side. Then split it into two equations separated by the word or. Each equation has what is inside the absolute value on the left side, and on the right side, one equation has the right side of the absolute value equation, and the other equation has the negative of the right side of the absolute equation.

This is a long explanation which is easier to understand with an example.

Example:

|3x + 2| = 16

Split it into two equations separated by the word "or."

3x + 2 = 16 or 3x + 2 = -16

You see that the left side of the two equations is the inside of the absolute value. The right side of the two equations is positive and negative 16 as explained int he rule.

4.

3 = |2k + 7|

Switch sides.

|2k + 7| = 3

Follow the rule above and split the equation into two equations separated by the word "or."

2k + 7 = 3 or 2k + 7 = -3

2k = -4  or  2k = -10

k = -2  or  k = -5

6.

3|m + 8| = 39

We want the absolute value alone on the left side, so divide both sides by 3.

|m + 8| = 13

Now apply the rule above to split the equation into two equations.

m + 8 = 13  or  m + 8 = -13

m = 5  or m = -21

Answer:

b = 9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 12² = 15²

b² + 144 = 225 ( subtract 144 from both sides )

b² = 81 ( take the square root of both sides )

b = [tex]\sqrt{81}[/tex] = 9

Answer:

sorry

which of the following numbers are irrational☺

Answer:

B. Wyatt drove 25 miles East and then 25 miles in the opposite direction

Step-by-step explanation:

This is because he drove East but then drove the same distance back, so he is basically cancelling out the distance he already traveled. Therefore, the traveled 0 feet from the starting point.

Answer:

B. Wyatt drove 25 miles east and then 25 in the opposite direction

Step-by-step explanation:

if you drive x amount of miles in one direction and then the oposite you return where you statred.