A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm. A regular pentagon has an apothem with a length of 3 centimeters and a perimeter of 21.8 centimeters. What is the area of the pentagon, rounded to the nearest tenth? 13.8 cm2 17.3 cm2 32.7 cm2 69.0 cm2

Compounding interest monthly on a bank's savings account results in the annual interest being divided into 12 parts and applied each month, leading to a greater amount of compound interest as interest is earned on previously accumulated interest more frequently.

When a bank's savings account pays a certain percentage of interest per year and compounds monthly instead of yearly, two things happen:

The interest gets divided into 12 parts, since there are 12 months in a year. For a 3% annual rate, the monthly rate becomes 0.25% (3% divided by 12).

The smaller monthly interest rate is applied more frequently (12 times a year), which results in compound interest. This means interest is earned not only on the initial deposit (the principal) but also on the interest accumulated from previous months. The end result is that your balance grows at a faster rate compared to yearly compounding because you're earning interest on top of interest more frequently.

The given expression for the amount after t years is P(1 + I/n)¹nt. If n increases, the value inside the parentheses becomes closer to 1, but since it's raised to the power of nt, the overall effect is that the compound interest increases the total amount more quickly than if it were compounded annually (yearly compounding).

Answer: The surface area is 14

Step-by-step explanation:

The equation should be this

2(1x1) + 2(1x3) + 2(1x3)

then you should have this next

2 + 6 + 6 = 14

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Answer:

Kwota zapłacona za 2 bilety normalne i 1 bilet ulgowy wynosi 98 złotych

Step-by-step explanation:

Po pierwsze, zadeklarujmy zmienne. Niech kwota zapłacona za normalne bilety wyniesie n złotych, a kwota zapłacona za bilety zniżkowe będzie d złotych

Od pierwszej części pytania powiedziano nam, że kwota za bilet ulgowy jest o 10 złotych mniejsza niż w przypadku biletu normalnego.

Stąd matematycznie n = d + 10 ......... (i)

Mówi się nam również, że kwota zapłacona za 3 normalne bilety i 2 bilety ze zniżką wynosi 160 złotych

Matematycznie można to zapisać jako;

3n + 2d = 160 .................... (ii)

Teraz, aby uzyskać kwotę zapłaconą za dwa bilety normalne i jeden bilet zniżkowy, musimy najpierw znaleźć kwotę zapłaconą za każdy bilet, korzystając z dwóch powyższych równań. Teraz zamień (i) na (ii)

mamy; 3 (d + 10) + 2d = 160

3d + 30 + 2d = 160

5d + 30 = 160

5d + 160-30

5d = 130

d = 130/5

d = 26 złotych

Kwota zapłacona za normalny bilet wynosi zatem = 26 + 10 = 36 złotych

Znajdując kwotę zapłaconą za 2 bilety normalne i 1 bilet zniżkowy, mamy 2 (36) + 26 = 72 + 26 = 98 złotych

Answer:

x = 2 or x = -2

Step-by-step explanation:

7x^2 - 28 = 0

7x^2 = 28

x^2 = 28/7 = 4

x = root(4)  or  x = -root(4)

x = 2 or x = -2

Answer:

x=-2 & x=2

Step-by-step explanation:

PLATO

Answer:

3/4

Step-by-step explanation:

Answer:

3/4s

Step-by-step explanation:

1 1/2 is equal to 6/4 or 1 and 2/4 so divided by 2 equals 3/4

You multiply the numerators (top numbers) and separately multiply the (bottom numbers) denominators.

numerator (top number): 2 * 1 = 2

denominator (bottom number): 3 * 4 = 12

Now, we have 2/12 which can be simplified to 1/6.

Answer:

x = Square root of 3........y=2

Step-by-step explanation:

So this is a VERY special triangle...you can just search special triangles and that will pop up....so there is really no explanation

Note: Is that from Rsm? and by the way, I'm in middle school XD

Answer:

$6,313.75

Step-by-step explanation:

All we have to do for this problem is multiply 25 by 252.55

25 * 252.55 = 6313.75

So, Max spent $6,313.75 on books.

Max can spend $6,313.75 total to buy the books at the of $ 252.55 per book.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition is called multiplication.

We have to given that;

Max buys 25 books at the rate of $ 252.55 per book.

Here, cost of one book = $252.55

Now, We get;

Total cost of 25 books is,

Since, Cost of 1 book = $252.55

Hence, We get;

Cost of 25 books = 25 x $252.55

                           = $6,313.75

Therefore, Max can spend $6,313.75 total to buy the books at the of $ 252.55 per book.

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Answer:

98

Step-by-step explanation:

Answer:

Gabriel has 98 stamps

Step-by-step explanation:

138-40=98

Answer:

(x, y)

(10,9)

We know the linear equation formula is y = mx + b

m is the slope, which we know to be 1/5

Plug in the coordinates to find b.

x = 10  y = 9

9 = 1/5(10) + b

9 = 2 + b

-2   -2    

---------------

7 = b

Final equation: y = 1/5x + 7

Step-by-step explanation:

The equation of a line with slope 1/5 passing through the point (10,9) is 'y = 1/5x + 7'. This was found using the point-slope form of a line equation.

To find an equation of a line with a given slope passing through a specific point, the point-slope form of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point, can be used.

In this case, the slope m = 1/5 and the point given is (10,9).

Therefore, the equation of the line can be found by substituting these values into the point-slope form:

y - 9 = 1/5(x - 10)

By distributing the slope on the right hand side, we get y - 9 = 1/5x - 2. Adding 9 to both sides gives the final equation:

y = 1/5x + 7

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Answer:

3/8

Step-by-step explanation:

Answer:3/8

Step-by-step explanation:

Answer

3 one

Step-by-step explanation:

Answer:

Option 3. No, her exponent should be a negative value

Step-by-step explanation:

1. Yes, she is correct ❌

2. No, she should have added that exponents instead of multiplying ❌

3. No, her exponent should be a negative value✅

4. No, when evaluating 36, she should have found the product of 6 and 3❌

Answer:

5×10⁻²

Step-by-step explanation:

        b.  If the decimal is being moved to the left, the exponent will be positive.

Final answer:

The scientific notation of 0.05 is 5 x 10^-2, which represents the number as a product of 5 and 10 raised to the power of -2.

Explanation:

The scientific notation of 0.05 is written by expressing the number as the product of a number between 1 and 10 and a power of ten. For the number 0.05, we move the decimal point two places to the right to get the number between 1 and 10, which is 5. Then, we use a power of ten to show how many places we moved the decimal point. The scientific notation of 0.05 is therefore 5 x 10-2.

Answer:

[tex]l = 100\,m[/tex] and [tex]w = 40\,m[/tex]

Step-by-step explanation:

The formulas for the area and perimeter of a rectangle are, respectively:

[tex]A = w\cdot l[/tex]

[tex]p = 2\cdot (w + l)[/tex]

The perimeter is equal to:

[tex]p = 2\cdot (50\,m + 90\,m)[/tex]

[tex]p = 280\,m[/tex]

Area is likewise equal to:

[tex]A = (50\,m)\cdot (90\,m)[/tex]

[tex]A = 4500\,m^{2}[/tex]

Then, equations are now described:

[tex]A = w \cdot l[/tex]

[tex]140\,m = w + l[/tex]

Likewise, the equation of area is simplified afterwards:

[tex]A = (140\,m - l)\cdot l[/tex]

[tex]A = 140\cdot l - l^{2}[/tex]

The area is reduced inasmuch as length is increased. Let assume that length is 100 meters. The length and width are described herein:

[tex]l = 100\,m[/tex] and [tex]w = 40\,m[/tex]

Answer:

113°

Step-by-step explanation:

Alternate exterior angle rule

When the lines are parallel, the alternate exterior (outside) angles are equal in measure.

Answer:

8z

Step-by-step explanation:

Each octagon has 8 sides

Multiply the number of octagons by the number number of sides to get the total number of sides

8*z

We have a total number of 8z sides

Answer:

z octogons have 8z sides

Step-by-step explanation:

Answer:

Exact Form:

105 /8

Decimal Form:

13.125

Mixed Number Form:

13  1/ 8

this is if you divide 105 and 8

105 divided by 8 using real-number division is 13 with a remainder of 1.

Dividend: 105

Divisor: 8

To perform the division, we divide 105 by 8:

8 | 105

8 (1 time)

25

24 (3 times)

1

Since we have a remainder of 1, the quotient is 13 and the remainder is 1.

Therefore, 105 divided by 8 using real-number division is 13 with a remainder of 1.

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Answer:

Examples are: (-1,1), (-2,1), and (-3,1).

Step-by-step explanation:

The second quadrant on a coordinate plane is located in the top left.

Answer:

26

Step-by-step explanation:

Let pineapple be P.

Let Strawberry be S.

Let Grape be G.

Let Watermelon be W.

3 pineapples equal 1 strawberry:

3P = S ____________ (1)

1 strawberry times 1 equals 1 grape:

S * 1 = G

S = G_____________(2)

2 grapes equal 24:

2G = 24

=> G = 24 / 2 = 12

=> From (2), S = 12

1 watermelon plus 1 pineapple equals 6:

W + P = 6_________________ (3)

From (1):

P = S / 3 = 12 / 3 = 4

Putting this in (3):

W + 4 = 6

=> W = 6 - 4 = 2

1 grape plus 1 strawberry plus 1 watermelon will be:

G + S + W

= 12 + 12 + 2

= 26

The answer is 26.

Answer:

26

Step-by-step explanation:

Step-by-step explanation:

3. The prisms are congruent, so they have the same base, height, and volume.

Volume of a prism is:

V = Ah

Plugging in values and solving for A:

90 in³ = A (15 in)

A = 6 in²

4. The cylinders are congruent, so they have the same radius, height, and volume.

Volume of a cylinder is:

V = πr²h

Plugging in values and solving for h:

176π cm³ = π (4 cm)² h

h = 11 cm

Answer:

The half life of a material is the time that a given quantity A of the material, decays into its half.

We know that the half-life is 4 hours, then we have the equation:

Q(t) = A*r^t

Where A is the initial quantity, and t is the number of hours.

and we have that r^4 = 1/2 (so when t = 4, we will have half of A)

then r = (1/2)^(1/4) = 0.84

Then our relation is

Q(t) = A*0.84^t

We have that A = 225mg,

at 1:00 pm. we have one hour after noon, so here we need to use t = 1.

Q(1) = 225mg*0.84^1 = 189.2mg

At 7:00 pm, we have 7 hours since noon, so here we need to use t = 7

Q(7) = 225mg*0.84^7 = 66.4mg

The equation is

[tex]Q(t) = A\times r^t[/tex]

here A is the initial quantity, and t is the number of hours.

Now

we have that r^4 = 1/2 (so when t = 4, we will have half of A)

So,

[tex]r = (1/2)^{(1/4)} = 0.84[/tex]

So,  our relation is

[tex]Q(t) = A\times 0.84^t[/tex]

We have that A = 225mg,

Now

[tex]Q(1) = 225mg\times 0.84^1[/tex]= 189.2mg

And,

At 7:00 pm, we have 7 hours since noon, so here we need to use t = 7

[tex]Q(7) = 225mg\times 0.84^{7}[/tex] = 66.4mg

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Answer: 25%

Step-by-step explanation:

1/4= 0.25

out of the numbers only 9 is not less than 9 so  it is P.

1 out of  all the four numbers is P.

The equation of a line with a slope of 4 that passes through the point (-2, 5) in point-slope form is y - 5 = 4(x + 2).

To find the equation of a line in point-slope form given a slope and a point through which the line passes, we use the formula:

y - y₁= m(x - x₁)

where m is the slope of the line, and (x₁ , y₁) is the point on the line. For the given slope of 4 and point (-2, 5), we substitute into the formula:

y - 5 = 4(x + 2)

This is the correct answer for the equation of the line in point-slope form.

Answer:

12 pieces

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Sorry Brainly says my answer is too short

Answer:

12

Step-by-step explanation:

Answer:

1. 51

2.25

3.104

4.31

5.41

Step-by-step explanation:

Answer: 1.94

Step-by-step explanation:

Answer:

1.94

Step-by-step explanation:

trust me

Answer:

Here's a screenshot from Plato

Explanation:

Plato

Answer:

x = -2

Step-by-step explanation:

Solve  -6x = 5x + 22

add 6x to both sides

0 = 6x + 5x + 22

0 = 11x + 22

11x = -22

x = -22/11

x = -2