The equation which represents x, the width of the border is 2 left-bracket (12 + 2 x) + (15 + 2 x) right-bracket = 74. What is the width of the border?

Answer:

3/8

Step-by-step explanation:

Answer:3/8

Step-by-step explanation:

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 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:

$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:

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:

[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:

(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:

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:

15/16

Step-by-step explanation:

To find the value of Sin A can be found using the sine rule. the rule states that the ratio of the length facing an angle in a triangle to the sine of the angle is constant. As such,

a/Sin A = b/Sin B = c/Sin C

Where is a is the side facing angle A, b is the side facing angle B and c is the side facing angle C.

Hence,

8/(3/4) = 10/Sin A

Sin A = 3 * 10 / (8 * 4)

= 30/32

= 15/16

Answer:

$15.60

Step-by-step explanation:

Total cost:

2(13) + 5(6) + 6.40

$62.40

Divide into 4:

62.40/4

$15.60

Answer:

81.85%

Step-by-step explanation:

We have the following information:

mean = m = 52000

standard deviation = sd = 12000

a = 40000

b = 76000

we need to find the probability between a and b, that is:

P (a <x <b) = P (40,000 <x <76000)

P [(40000 - m) / sd <(x - m) / sd <(76000 - m) / sd]

replacing

P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]

P (-1 <z <2)

P (z <= -1) - P (z <= 2)

We look for this value of z, in the attached table:

0.9772 - 0.1587

P = 0.8185

In other words, the probability is 81.85%

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

:]

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:

he would be able to walk 15 blocks

Step-by-step explanation:

30 is 3 times more than 10, so he can walk 3 times as the amount

Answer:

Step-by-step explanation:

si rrecorre 5 cuadras en 10 minutos en 10 cuadras son 20m 15C son 30

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:

0.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333

or 1/3

Step-by-step explanation:

Answer:

1. 51

2.25

3.104

4.31

5.41

Step-by-step explanation:

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.

Answer:

Here's a screenshot from Plato

Explanation:

Plato

Answer:

The direct distance between the birds is 12.64 miles.  

Step-by-step explanation:

We have, one bird flew 12  miles west and another  bird flew 4 miles north.  It is required to find the direct distance  between the birds. It means we need to find the resultant of two displacement. It can be given by :

[tex]d=\sqrt{12^2+4^2} \\\\d=12.64\ \text{miles}[/tex]

So, the direct distance between the birds is 12.64 miles.

Answer:

98

Step-by-step explanation:

Answer:

Gabriel has 98 stamps

Step-by-step explanation:

138-40=98

Answer:

B. r ≤ -8

Step-by-step explanation:

First solve the inequality.

-2r + 3 ≥ 19

Subtract 3 from both sides.

-2r ≥ 16

Divide both sides by -2. But wait. Don't forget to flip the greater than sign when you divide an inequality by a negative number!!

r ≤ 16/-2

See how we flipped the greater than to a less than because the inequality was divided by a negative number on both sides?

r ≤ -8

So the answer is B.

Answer:

-1299

Step-by-step explanation:

-282-1017

Answer:

-1299

Step-by-step explanation:

-282 - 1017 = -1299

(-282) + (-1017)

Hope this helps ^-^

Answer:

33

Step-by-step explanation:

So I just put them in order....18,19,23,25,28,30,31,33,33,35,36

and you can see that 33 pops up twice when the others only pop up once..so the answer is 33

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:

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:

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:

[tex]a_{n}=-5(-3)^{n-1}[/tex]

Step-by-step explanation:

A geometric sequence or progession is defined as a sequence where each term can be found by multiplying a factor with the first term.

In this case, the first term is -5, the second term is 15 and the third term is -45.

[tex]a_{1}=-5\\a_{2}=15\\a_{3}=-45[/tex]

To find the factor, we divide the second term by the first, and the third term by the second.

[tex]\frac{15}{-5}=-3[/tex]

[tex]\frac{-45}{15}=-3[/tex]

As you can notice, the factor is -3, so [tex]r=-3[/tex].

Now, the explicit formula of this sequence can be found with

[tex]a_{n}=a_{1}r^{n-1}[/tex]

Where [tex]n[/tex] refers to the n-th term.

Replacing values, we have

[tex]a_{n}=-5(-3)^{n-1}[/tex]

Therefore, the explicit formula of the geometric sequence is

[tex]a_{n}=-5(-3)^{n-1}[/tex]

Which can be used to find any other term in the sequence.