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Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

Given that,

The equation f(x)=1.9(0.41)ˣ.

We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.

We know that,

In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.

In the case of growth, f(x) = a(1+r[tex])^{x-h}[/tex]+k, where b = 1+r

Decay is defined as f(x)=a(1-r)(x-h[tex])^{x-h}[/tex]+k, where b=1-r.

Consider the function  f(x)=1.9(0.41)ˣ.

We write as

f(x)=1.9(1-0.59)ˣ

So, initial value C is 1.9

Decay factor =0.41

Growth factor = 0.59

Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

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Answer:

f(x)=-6x-3 has a greater y intercept

Step-by-step explanation:

Answer:

0.44

Step-by-step explanation:

Given the data:

Control: 23, 27, 30, 26, 31

Treatment: 21, 22, 18, 24, 30

The mean and variance using calculator :

Control :

Mean, x1 = 27.4

Variance, s1 = 10.3

n1 = 5

Treatment :

x2 = 23

s² = 20

H0 : μ1 = μ2

H0 : μ1 > μ2

The test statistic :

(x1 - x2) / √(s1²/n1) + (s2²/n2)

(27.4 - 23) / √(10.3²/5) + (20²/5)

4.4 / 10.060715

Test statistic = 0.437

Test statistic = 0.44

The solution that (4, 10) represents is that Jim purchased 4 iced teas and 10 soft pretzels at a cricket game.

The equation that describes the relationship between the

number of iced teas and the number of soft pretzels purchased is;

3x + 2y = 32

Where;

x represents the iced teas.

y represents soft pretzels at a cricket game

Now, we are told that the ordered pair (4, 10) is a solution of the equation. This means that;

x = 4 and y = 10 is a solution.

What it means is that Jim purchased 4 iced teas and 10 soft pretzels at a cricket game

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Answer:

Step-by-step explanation:

Area = 30 x 15 - 10 x 5

Area = 450 - 50

Area = 400 m^2

Hope that helps! :)

-Aphrodite

Answer:

400 m^2

Step-by-step explanation:

the figure is composed by a square and a rectangle

Area of the square = side^2 = 10^2 = 100 m^2

area of the rectangle = base x height = 20 x 15 = 300 m^2

total area = 300 + 100 = 400m^2

Answer:

14 bags.

Step-by-step explanation:

20 equal slices, so 20/20.

You eat 3/10 of it. 3/10 is equivalent to 6/20.

20/20 - 6/20 is 14/20.

You need 14 bags.

Answer:

Median

Step-by-step explanation:

You want to use median because it is the most accurate when there is an outlier in the data (the 40 on the test)

Answer:

$28.29

Step-by-step explanation:

1 pound: $6.15
4.6 pounds: 6.15 x 4.6 = $28.29

The Probability of landing spinner on Blue is more likely than Red.

What is the Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.

Here, the probability of a spinner landing on red is 0.15 or 15%

The probability of the same spinner landing on blue is 0.45 or 45%

On comapring both the probabilities we can say that,

probability of a spinner landing on red < probability of spinner landing on blue

                 15 %    <    45 %

Thus, the Probability of landing spinner on Blue is more likely than Red.

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Answers:

5. x = 1

6. y = 11.5

Step-by-step explanation:

For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:

AC * CD = BC * CE

You can substitute the values you are given to get:

2 * 4 = x * 8

This gives you x = 1

For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:

GH * GJ = GI * GK

Using segment addition postulate, you get:

GJ = GH + HJ = 5 + 16 = 21

GK = GI + IK  = 6 + y --> y + 6

Now, substitute into the equation from power of a point:

5 * 21 = 6 * (y + 6)

105 = 6 * (y + 6)

17.5 = y + 6

y = 11.5

The present value of the tax benefits from depreciation which is a non cash expenditure under capital budgeting decisions is $10432.80

According to the prudence concept of accounting convention, Depreciation is a non cash expenditure that has been charged against the profit. Depreciation is value that amortized over useful life of tangible fixed asset. The absolute decline in the value of asset due to obsolesce, usage of asset, wear & tear of fixed asset is referred as depreciation.

As per accounting standard on property, plant & equipment depreciation can be computed by straight line method and written down value method.

While analyzing the capital budgeting decision from the equipment to be acquired the cash inflows and outflows during the currency of the project shall be accounted for.

The tax benefit from depreciation expenses will be consider as cash inflow. The same shall be calculated by the present value annuity factor for the as follows:

cost of capital = 12 %

Depreciation = $10000

Life of the project = 8 years

Tax rate = 21%

Present value annuity factor (PVAF) at 12% for 8 years will be:

0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404

Grand total of the (PVAF) at 12% = 4.968

Now multiply the PVAF with depreciation amount

Present Value of Depreciation = 4.968 × 10000 = $49,680

Tax benefit from depreciation = $49,680 × 21% = $10432.8

Thus the tax Tax benefit from depreciation is $10432.80

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Answer:

-20.99

Step-by-step explanation:

Answer:

7/12 (seven over twelve)

Step-by-step explanation:

1/3 -1/4 =4/12- 3/12=1/12

1/2+1/12=6/12+1/12=7/12

so the answer is 7/12

hopefully this helps

The wood left over after making the frame and the sandbox is 10 inches.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

The total amount of wood.

= 4 x 65.5

= 262 inches.

Frame:

Side = 5.25 inches

The perimeter of the frame.

= 4 x 5.25

= 21 inches

Now,

Sandbox:

The wood used for the sandbox.

= 11 x 21

= 231 inches

The remaining wood.

= 262 - (21 + 231)

= 262 - 252

= 10 inches

Thus,

The remaining wood is 10 inches.

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Answer:

IM pretty sure b) and c)

Step-by-step explanation:

On solving the provided question we can say that  expression which is equivalent form to 3/2 is (5/2-1).

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Equivalent systems refer to sets of equations with the same solution. We can create an analogous system from a system of two equations by replacing one equation with the total of the two equations or by replacing an equation with a multiple of itself.

When two expressions can be reduced to a single third expression or when one of the expressions can be expressed in the same way as the other, they are said to be equivalent. When values are replaced for the variable and both expressions yield the same result, you may also tell if two expressions are equal.

The number is 3/2

The expression which is equivalent to 3/2 is (5/2-1)

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Answer:

10m

Step-by-step explanation:

It should be 10m because the way to calculate are of a rectangle is length times width equals area (lw=area), and 12 times 10 is 120.

Answer and Step-by-step explanation:

Since this is a rectangle, we know to find the area we would do length times width.

TO find the width, we need to divide the area by the length.

120 divided by 12 equals 10m.

10 = ?

#teamtrees #PAW (Plant And Water)

After 3 years, the price of the house would be $2,494,822.48. After 5 years, the price of the house would be $2,830,530.94.

Price is the value of a product or service that an individual or business is willing to accept in exchange for a good or service. It is typically determined by the market forces of supply and demand. Prices are usually expressed in monetary terms, but can also be expressed in terms of labor time or other resources. Prices can vary widely depending on the availability of a good or service, the amount of competition, and other factors.

To calculate the price of the house after 3 years, the formula is P x (1 + r)^t. P is the initial price of the house, which is $2,300,006. R is the rate of increase each year, which is 6%. T is the number of years, which is 3. Therefore, the price of the house after 3 years is P x (1 + 0.06)^3, which equals to $2,494,822.48.
To calculate the price of the house after 5 years, the formula is P x (1 + r)^t. P is the initial price of the house, which is $2,300,006. R is the rate of increase each year, which is 6%. T is the number of years, which is 5. Therefore, the price of the house after 5 years is P x (1 + 0.06)^5, which equals to $2,830,530.94.

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Answer:

The 0

Step-by-step explanation:

the answer is 10bshsjwjjwjs

Answer:

634.2 m²

Step-by-step explanation:

Given:

Angle given = 37°

Radius (r) = 15 m

Required:

Area of the shaded sector

Solution:

Area of the shaded sector = θ/360 * πr²

θ = 360 - 37 = 323°

r = 15 m

Plug in the values

Area of the shaded sector = 323/360 * π * 15²

= 634.209017

≈ 634.2 m² (nearest tenth)

Answer:

The ratio that compares the diameter of the first circle to the diameter of the second circle is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Circumference of a circle:

The circumference of a circle of diameter d is given by:

[tex]C = \pi d[/tex]

In which d is the diameter.

One circle has a circumference half as large as that of a second circle.

We have that:

[tex]C_1 = \frac{C_2}{2}[/tex]

So

[tex]\pi d_1 = \frac{\pi d_2}{2}[/tex]

Simplifying by [tex]\pi[/tex]

[tex]d_1 = \frac{d_2}{2}[/tex]

[tex]\frac{d_1}{d_2} = \frac{1}{2}[/tex]

The ratio that compares the diameter of the first circle to the diameter of the second circle is [tex]\frac{1}{2}[/tex]

Answer:

16.6

Step-by-step explanation:

Answer:

nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Step-by-step explanation:

sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

[tex] \div 7841562130. = 98[/tex]

Answer:

123459c

Step-by-step explanation:

round

Answer:

Account with 8% interest per year: $3000

Account with 5% interest per year: $7000

8% of 3000 = 240

5% of 7000 = 350

240+ 350 = 590