The volume of a rectangular prism is represented by the function x^3+9x+6x-16.The length of the box is x+2, while the height is x+8. Find the expression representing the width of the box

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:

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

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:

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: 1.94

Step-by-step explanation:

Answer:

1.94

Step-by-step explanation:

trust me

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

Answer:

can u retake the photo

Step-by-step explanation:

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:

98

Step-by-step explanation:

Answer:

Gabriel has 98 stamps

Step-by-step explanation:

138-40=98

Answer:

16 feet

Step-by-step explanation:

We use Pythagorean Theorem to find the height.

leg of triangle=  height of ladder = 15 feet

The hypotenuse of the formed triangle  = length of ladder = L

base = 6 feet

What is length of ladder?

L^2 = 15^2 + 6^2 = 225 + 36 = 261

L = root(261)  = 16.155 feet

Answer:

113°

Step-by-step explanation:

Alternate exterior angle rule

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

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:

12

Step-by-step explanation:

the number = x

2/3 of x =8

2x/3 = 8

2x= 24

x=12

Answer:

12

Step-by-step explanation:

8 is 1/3 of 24

so it's 2/3 of 12

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:

3/4

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

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:

b =7

Step-by-step explanation:

8b+15=71

Subtract 15 from each side

8b+15-15 =71-15

8b = 56

Divide each side by 8

8b/8 = 56/8

b = 7

Answer:

I believe b equals 7.

Step-by-step explanation:

8b +15= 71

-15. -15

8b = 56

56/8

7

b=7

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:

Answer:

3/8

Step-by-step explanation:

Answer:3/8

Step-by-step explanation:

Answer:

11 gallons of gas is needed to travel 231 miles.

Step-by-step explanation:

We can set up a proportion for this problem.

For every 62 miles, you use 3 gallons of gas.

[tex]\frac{62}{3}*\frac{231}{?}[/tex]

Now, let's cross multiply.

[tex]\frac{693}{62}[/tex] ≈ [tex]11[/tex]

So, you will need about 11 gallons of gas to travel 231 miles.

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

:]

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:

59.85714285714286‬ miles a day ≈ 60 miles a day

Step-by-step explanation:

To find this, we'd have to make the weeks into days.

2 weeks * 7 days = 14 days

Now we need to divide the miles traveled by the days:

838/14=59.85714285714286‬ miles a day or about 60 miles per day

Answer:

~ 60 days

Step-by-step explanation:

We have 2 weeks. Since there are 7 days a week, 2 weeks is 14 days.

To find the number of miles walked per day, we need to divide the total number of miles by the total number of days:

838 / 14 ≈ 59.9 ≈ 60 days

Answer:

12 pieces

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Sorry Brainly says my answer is too short

Answer:

12

Step-by-step explanation:

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.