S Ivy deposited $530 into a savings account
9 years ago. The account earns 33%
interest, compounded annually. How much
interest has she earned? Answer in dollars
and round to the nearest cent.

Therefore, we need 40 workers to complete the work in 15 days.

Let's assume that the amount of work required to build the house is the same, regardless of the number of workers. This means that the number of workers and the time required to complete the work are inversely proportional to each other. We can use the following formula:

n1 × d1 = n2 × d2

where n1 is the initial number of workers, d1 is the initial number of days, n2 is the new number of workers, and d2 is the new number of days.

Substituting the given values, we get:

20 × 30 = n2 × 15

Simplifying the equation, we get:

n2 = (20 × 30) ÷ 15

n2 = 40

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Answer:

On the y axis

Step-by-step explanation:

If x is zero, it automatically has to be on the y axis because x=0 is where the x and y axis intersect.

Answer:

(a) No

(b) No

(c) No

Step-by-step explanation:

Given

See attachment

Required

Select Yes or No for each

To do this, we make use of Euler's formula

\(F + V - E = 2\)

Where

\(F \to Faces; V \to Vertices; E \to Edges\)

\((a):\ Faces = 8; Vertices = 12; Edges = 6\)

Using: \(F + V - E = 2\)

\(8 + 12 - 6 = 2\)

\(14 = 2\)

The above equality is false. Hence, (a) does not exist

\((b):\ Faces = 6; Vertices = 6; Edges = 4\)

Using: \(F + V - E = 2\)

\(6 + 6 - 4 = 2\)

\(8 = 2\)

The above equality is false. Hence, (b) does not exist

\((c):\ Faces = 20; Vertices = 30; Edges = 12\)

Using: \(F + V - E = 2\)

\(20 + 30 - 12 = 2\)

\(38 = 2\)

The above equality is false. Hence, (c) does not exist

The standard form of the quadratic function whose graph is a parabola will be;

⇒ y = 1/3 (x² - 4x + 1)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

Vertex coordinate = (-3, 4)

And, A point on the graph = (0, 13)

Since, We know that;

The vertex form of a quadratic equation is given by;

⇒ y = a(x - h)² + k

Where h, k are the coordinates of the vertex.

Hence, At point (5, 2) at the vertex of (2, -1), we have;

⇒ 2 = a (5 - 2)² + (-1)

⇒ 2 = a × 9 - 1

⇒ 2 + 1 = 9a

⇒ 9a = 3

⇒ a = 3/9

⇒ a = 1/3

Since, The equation y = a(x - h)² + k is the vertex form,

Let us put the vertex values for h and k as well as the value of a to get the quadratic equation;

⇒ y = 1/3(x - 2)² - 1

⇒ y = 1/3 (x² + 4 - 4x) - 1

⇒ y = 1/3x² + 4/3 - 4/3x - 1

⇒ y = 1/3x² - 4/3x + 1/3

⇒ y = 1/3 (x² - 4x + 1)

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Step-by-step explanation:

"which is the measure of angle L?"

the total angle measures of all angles on a triangle should always equal 180

72 + 36 = 108

180 - 108 = 72!

angle L is 72 degrees!

"which angle is the vertex angle?"

from my understanding, the angle opposite the base would be the vertex angle

since j and k are equal, we can only assume 36 is the vertex angle!

hope this helps! if so, pls give brainliest!

Answer:

hi. I'm so sorry I just need to answer some questions. I'm sorry

The volume of the solid is (a⁴ π)/2. The given paraboloid of revolution is x² + y² = az, the xy-plane and the cylinder is x² + y² = 2ax.

Therefore, the solid can be bounded by curves in polar coordinates, the volume of the bounded solid can be expressed asV = ∫(0 to 2π)∫(0 to a)∫(r²/a to 2r cos θ) r dz dr dθ, where r² = x² + y² and r cos θ = x.

So, the limits of integration are: 0 ≤ r ≤ a, 0 ≤ θ ≤ 2π and r²/a ≤ z ≤ 2r cos θ.

Volume of the solid can be given as,

V = ∫(0 to 2π)∫(0 to a)∫(r²/a to 2r cos θ) r dz dr dθ= ∫(0 to 2π) ∫(0 to a) [r² cos θ] | r²/a to 2r cos θ | dr dθ=∫(0 to 2π) ∫(0 to a) (2r³ cos θ)/a - r³ dr dθ= ∫(0 to 2π) [(a⁴ cos θ)/4 - (a⁴ cos³ θ)/24] dθ= [(a⁴)/4] ∫(0 to 2π) [cos θ - (cos³ θ)/6] dθ= [(a⁴)/4] [(sin θ + sin³ θ/3)/3] from 0 to 2π= (a⁴ π)/2.

Hence, the volume of the solid is (a⁴ π)/2.

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Answer:

x = -55

Step-by-step explanation:

Given equation,

→ 5(2 - x) - 10 = 25 - 2(3x + 40)

Now the value of x will be,

→ 5(2 - x) - 10 = 25 - 2(3x + 40)

→ 10 - 5x - 10 = 25 - 6x - 80

→ -5x + 6x = 25 - 80

→ [ x = -55 ]

Hence, the value of x is -55.

Answer:

x = -55

Step-by-step explanation:

Given equation,

→ 5(2 - x) - 10 = 25 - 2(3x + 40)

Now the value of x will be,

→ 5(2 - x) - 10 = 25 - 2(3x + 40)

→ 10 - 5x - 10 = 25 - 6x - 80

→ -5x + 6x = 25 - 80

→ [ x = -55 ]

Hence, the value of x is -55.

Hey there!

this is called a trapezoid, or, more specifically, a right-angled trapezoid.

hope it helps and have a great day!

Answer:

Regular polygon of 10 sides or 10-gon

Explanation:

The angle of rotation symmetry is equal to

θ = 360/n

Where n is the order of rotation. In a regular polygon, the order of rotation for symmetry is the number of sides.

In this case, we can replace θ by 36 degrees and solve the equation for n

36 = 360/n

n = 360/36

n = 10

Therefore, the shape of rotation should be a regular polygon of 10 sides.

The expressions x + x + x + x and 4x are equivalent.

We can see this by simplifying the first expression:

x + x + x + x = 4x

So we can see that both expressions represent the same quantity, which is the total of adding x four times.

To explain this using a diagram, we can draw four boxes, each labeled with an "x".

x   x   x   x

Then, we can count the total number of "x" in the diagram, which is 4x.

Alternatively, we can also think of distributing the coefficient 4 to each term in the second expression:

4x = 4 * x

= x + x + x + x

This gives us the same expression as the first one, so they are equivalent.

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The equation that represents this situation is p = 4 + 5d

Algebraic expressions are known as mathematical expressions made up of:

From the information given, we have that:

The equation this represents is:

p = 4 + 5d

Thus, the equation that represents this situation is p = 4 + 5d

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Answer:

-13

Step-by-step explanation:

2 + 5 • (-9) - 4 • 3 + 6 • 7

~Multiply

2 - 45 - 4 * 3 + 6 * 7

~Multiply

2 - 45 - 12 + 6 * 7

~Multiply

2 - 45 - 12 + 42

~Subtract

-43 - 12 + 42

~Subtract

-55 + 42

~Add

-13

Best of Luck!

Answer:

-13

Step-by-step explanation:

Solution : -13

In a Lineweaver-Burk plot, the 1/Y-intercept represents the reciprocal of the maximum velocity (1/Vmax) of the enzyme-catalyzed reaction. The 1/X-intercept represents the negative reciprocal of the Michaelis constant (1/Km) for the substrate.

In a Lineweaver-Burk plot, the 1/Y-intercept represents the reciprocal of the maximum velocity (1/Vmax) of the enzyme-catalyzed reaction being studied, while the 1/X-intercept represents the negative reciprocal of the Michaelis constant (1/Km) for the substrate.

The Lineweaver-Burk plot is a linear transformation of the Michaelis-Menten equation, which relates the initial reaction rate (v0) of an enzyme-catalyzed reaction to the substrate concentration ([S]):

v0 = (Vmax [S]) / (Km + [S])

Taking the reciprocal of both sides of the equation, we get:

1/v0 = (Km/Vmax) (1/[S]) + 1/Vmax

This equation has the same form as the equation of a straight line y = mx + b, where y = 1/v0, x = 1/[S], m = Km/Vmax, and b = 1/Vmax. Therefore, plotting 1/v0 against 1/[S] on a Lineweaver-Burk plot produces a straight line with a slope of Km/Vmax and a y-intercept of 1/Vmax.

Taking the reciprocal of the slope, we get:

1/(Km/Vmax) = Vmax/Km

which is equal to the 1/X-intercept of the Lineweaver-Burk plot. Similarly, taking the reciprocal of the y-intercept, we get:

1/(1/Vmax) = Vmax

which is equal to the 1/Y-intercept of the Lineweaver-Burk plot.

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Answer:

Step-by-step explanation:

jnj is f skf sk cxk cc

Answer:

x=3 i think

Step-by-step explanation:

Step-by-step explanation:

These aren't a perfect square bec. 1 st and 3rd terms must be perfect square

A(X) = X^2+6X +13 be perfect square if 13 Changed to 9

= X ^2+6X +9

A(x)= 2X^2+8X +14 be perfect square

= 4X ^2+ 8X + 16

Answer:

491.52

Step-by-step explanation:

1500×.80×.80×.80×.80×.80=491.52

The predicate in the conditional statement checks whether the value of variable "a" is less than or equal to 1. However, it does not directly determine if "a" is of type double.

In this specific case, let's break down the code:

1. The expression `(2 + 1) / 2` is evaluated first. Since both 2 and 1 are integers, the division operation `/` results in a floating-point value, specifically 1.5.

2. The result of the expression is then assigned to variable "a" with the statement `a = (2 + 1) / 2`. The value of "a" becomes 1.5.

3. The conditional statement `if (a <= 1)` is evaluated. The comparison `1.5 <= 1` is false because 1.5 is greater than 1.

Therefore, the predicate result for the variable "a" to be a double primitive type in this case is false.

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The probability of getting heads twice in a row at some point during three coin flips is 1/8.

Given info;

Assume that a fair coin has an equal chance of coming up heads or tails.

What is the likelihood that three coin flips will result in two consecutive heads at any point?

There is a three-coin flip. The potential results are;

(HHH) (HHT) (HTH) (HTT) (HTT) (THH) (THT) (TTH) (TTT)

1 is the number of successful results.

Probability is calculated as follows: Probability = Number of favorable Results / Total Number of Results = 1/8

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Answer:

c

Step-by-step explanation:

i took the test

Answer:

A

Step-by-step explanation:

Ryan has the faster time when compared to each of their teams,

"Information available from the question"

The time taken by Nick is 10.8 seconds.

The mean time taken by Nick is 11.4 seconds.

The standard deviation of Nick is 0.4 seconds.

The time taken by Ryan is 11.2 seconds.

The mean time taken by Ryan is 11.5 seconds.

The standard deviation of Ryan is 0.1 seconds.

The z-score of Nick is:

\(z_1=\frac{10.8-11.4}{0.4}\)

\(z_1=-1.5\)

The z-score of Ryan is:

\(z_2=\frac{11.2-11.5}{0.1}\)

\(z_2=-3\)

Thus, Ryan z-score is lower, so Ryan has the faster time when compared to each of their teams.

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The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

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5) Notice that angles 4 and 2 are corresponding angles, since FG is parallel to HJ then:

If m<2=45º, then by the transitive property we get:

7) Notice that angles 3 and 6 are aternating exterior angles, since FG is parallel to HJ then:

If m<6=135º then by the transitive property we get:

Answer:

(5)

(7)

Answer:

40⁰ is angle boc

Aod is 75⁰ hope it's help yo

Answer:

2/15

Step-by-step explanation:

slow heart rate and blue eyes (2) over total (15)

2/15 doesn't simplify

Answer:

13/100 is my final answer

Step-by-step explanation:

First, in order to get blue eyes, you need to be part of 40% thats not much but not little either. Then in order to get A fast heart rate out of that, you need to be part of the 26% out of 40% and that leaves you with 13 to 14 %.

I say 13 to 14 because both the 13 and 26 % came from a decimal that went on forever but due to rounding it can be 27 gets fast heart rate with 13 percent gets slow heart rate and blue eyes or 14 gets it and 26 gets faster

Hope this helped.

A brainliest is always appreciated.

Note that the depreciation for this vehicle using method 2 will be $340.

To calculate the depreciation using method 2, we need to multiply the cost of the car by the depreciation rate per mile, which is given in cents per mile.

First, we need to calculate the total depreciation for the car in cents by multiplying the miles driven by the depreciation rate per mile:

Total depreciation = Miles driven x Depreciation rate per mile

Total depreciation = 10,000 x 3.4 cents per mile

Total depreciation = 34,000 cents

Next, we need to convert the total depreciation from cents to dollars by dividing it by 100:

Total depreciation = 34,000 cents ÷ 100 cents/dollar

Total depreciation = $340

Therefore, the depreciation for this vehicle using method 2 will be $340.

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The maximum possible volume of the box is 4.5 cubic meters and this is achieved by having a square bottom of the box with a  side length of 3 cm and a height of 1/2 cm.

Volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube,  cuboid,  cone,  cylinder or  sphere. Different shapes have different volume. The formula for volume is: volume = length x width x height.

 Let the side of the base of the square  be x cm. Then the area of ​​the base would be x² square cm.

 The material needed to make the box would be the sum of the areas of the bottom and  four sides. Since the bottom of the box is square  and the sides are perpendicular to the base, the area of ​​each side is x times the height.

 So the total  area of ​​the box would be:

x² + 4 (x times height)

We know that the total  area is 16 square cm, so we can write:

x² + 4 (x times the height) = 16

We want to maximize the volume of the box. The volume of a square box  is obtained as follows:

V = x² times height

We can solve the first height equation with x:

height = (16 - x²)/(4x)

Substituting this height expression  into the volume formula, we get:

V = x² times (16 - x²)/(4x)

Simplifying this expression, we get:

V = (4x³ -\(x^4\))/16

We want to find the maximum value of V. To do this, we take the derivative of V with respect to x and set it  to zero:

dV/dx = (12x² - 4x³)/16 = 0

This gives us two solutions: x = 0 and x = 3.

 Since x represents the side of the square root, it must be positive. Therefore we choose x = 3.

 Substituting this value into the height expression, we get:

height = (16 - 3²)/(4 times 3) = 1/2

So the maximum volume of the box is:

V = 3² times 1/2 = 4.5 cubic meters

Therefore, the maximum possible volume of the box is 4.5 cubic meters and this is achieved by having a square bottom of the box with a  side length of 3 cm and a height of 1/2 cm.

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Answer:

the answer is B

Step-by-step explanation:

it's the right answer

Answer:

D) 1 11/12

Step-by-step explanation:

10 - 7 = 3 -15 + 8 = -7

3/4 - (-7/6) = 23/12 or 1 11/12

I hope this makes sense :)

The multiplier for this economy is 1.

To calculate the multiplier for this economy, we need to determine the relationship between changes in income (ΔY) and the resulting change in aggregate demand. The multiplier represents the ratio of the change in aggregate demand to the initial change in autonomous spending.

In this case, the autonomous spending components are consumption (C), investment (I), government spending (G), and exports (X), while imports (M) and taxes (tY) are considered to be induced components.

The aggregate demand (AD) can be calculated as follows:

AD = C + I + G + X - M

= (250 + 0.75Y) + 200 + 350 + 100 - (50 + 0.25Y)

= 950 + 0.5Y

The tax component (tY) can be calculated as:

tY = 0.2Y

The equilibrium condition in an economy is when aggregate demand (AD) equals income (Y):

AD = Y

Substituting the expressions for AD and Y, we get:

950 + 0.5Y = Y

Simplifying the equation:

0.5Y = 950

Y = 950 / 0.5

Y = 1900

Now, to calculate the multiplier (k), we need to determine the change in aggregate demand (∆AD) resulting from a change in autonomous spending (∆AS):

k = ∆AD / ∆AS

Let's assume a change in investment spending (∆I) by an amount of ∆I = 100. This change in investment spending (∆I) is an autonomous component.

The change in aggregate demand (∆AD) can be calculated as:

∆AD = ∆C + ∆I + ∆G + ∆X - ∆M

= 0 + 100 + 0 + 0 - 0

= 100

The change in autonomous spending (∆AS) is equal to the change in investment spending (∆I):

∆AS = ∆I = 100

Finally, we can calculate the multiplier:

k = ∆AD / ∆AS

= 100 / 100

= 1

Therefore, the multiplier for this economy is 1, indicating that a change in autonomous spending will lead to an equal change in aggregate demand and income.

Correct Question :

Consider an economy that is described by the following model:  

C=250+0.75Y

M=50+0.25Y

I=200

G=350

X=100

t=20%

Where:  

C= consumption spending

M= imports

Y= income

I= investment spending

G= government spending

X= exports

t= tax rate

​Calculate the multiplier for this economy.

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The correct way to find the terms of the sequence {B}, which represents the balance in James' account after each deposit, is by using option B. Multiply the balance of the previous month by the monthly interest rate to find the interest of this month. Then, add the deposit and the interest of this month found earlier to the balance of the previous month to determine the balance of this month.(option D)

In James' savings plan, the balance after the first deposit is $120, as he starts with $0. To find the balance after the second deposit, we multiply the previous balance ($120) by the monthly interest rate (0.0085), which gives us $1.02. Adding the deposit of $120 to this interest amount, we get $121.02 as the balance after the second deposit. Continuing this process, we find the following terms:

First deposit: $120

Second deposit: $121.02

Third deposit: $242.23

Fourth deposit: $364.69

Fifth deposit: $488.40

Each term is obtained by multiplying the previous month's balance by the monthly interest rate, adding the deposit amount, and summing it up. This approach reflects the compounding effect of interest on the account balance, resulting in an increasing balance over time.

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