Edgar has taken out a $6,250 unsubsidized Stafford loan to fund his four-year undergraduate degree. The loan has a duration of 10 years and an interest rate of 6. 1%, compounded monthly. How much interest capitalization will have accrued by the time Edgar graduates? Round all dollar values to the nearest cent. A. $1,670. 30 b. $1,722. 22 c. $664. 35 d. $1,524. 96.

The expression (1.5 x 10¹⁰) ÷ (5 x 10³) in scientific notation is 3 * 10⁶

From the question, we have the following quotient expression that can be used in our computation:

(1.5x10^10)÷(5x10^3)

Rewrite properly

So, we have

(1.5 x 10¹⁰) ÷ (5 x 10³)

Divide 1.5 and 5 by 1

So, we have the following representation

(0.3 x 10¹⁰) ÷ (10³)

Divide 10¹⁰ by 10³

So, we have

0.3 x 10⁷

Rewrite as

3 * 10⁶

Hence, the solution is 3 * 10⁶

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Answer:

D

Step-by-step explanation:

$24.72 divided by 6 = $4.12

The measure of angle ABC is 64°.

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

Given that, BM bisects ∠ABC and ∠MBC=32°.

Here, ∠ABC=∠MBC+∠MBA

Since, BM bisects ∠ABC, ∠MBC=∠MBA

∠ABC=∠MBC+∠MBC

∠ABC=2∠MBC

∠ABC=2×32°

∠ABC=64°

Therefore, the measure of angle ABC is 64°.

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Answer:

1.pi times the radius squared

2. 12

3. Yes

4. 8

5. a googol

Step-by-step explanation:

12

22/7 I believe is the closest fraction.

It is irrational by definition and cannot be expressed as a fraction. But there are a few close approximations.

Pi is not a fraction. A close approximation to pi, on the other hand, is 22/7.

8

Based on the given conditions, formulate:

\(64/8\)

Calculate

\(\frac{64}{8}\)

Cross out the common factor

\(8\)

I can figure out the rest once I get back home. I'm sorry I ran out of time.

Answer:

c/-9+6=14

c/-9=14-6

c/-9=8

c=8×(-9)

c= -72

Therefore the answer is (b)

Thus, the total number of clients that got haircuts have blond hair is 9.

A prospective outcome of an experimentation or trial is described to as an outcome in probability theory. Only one result will materialise on each trial of an experiment since each possible outcome is distinct and numerous results are mutually exclusive.

Given number of hair colours:

Total colours = 12

Probability = favourable event / total outcome

Probability(blond hair) = 3/12 = 1/4

Total customers = 36

Number of clients have blond hair = 1/4 *36 = 9

Thus, the total number of clients that got haircuts have blond hair is 9.

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The antiderivative of 1x (or simply x) is (1/2)x² + C, where C is the constant of integration. In other words, the antiderivative of x is the function whose derivative is equal to x.

This is a basic result in calculus, and it is derived using the power rule of integration. The antiderivative of 1x (or simply x) is the function whose derivative is equal to x. This function is (1/2)x² + C, where C is the constant of integration. To find the antiderivative, one can use the power rule of integration, which states that the antiderivative of xⁿ is (1/(n+1))x⁽ⁿ⁺¹⁾ + C. In the case of x, n is equal to 1, so the antiderivative is (1/2)x² + C. The constant of integration represents the family of functions that have the same derivative, so it is added to the antiderivative to reflect this.

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Answer: A :)

Step-by-step explanation:

As it is given, 1% of left tree is decaying every year.

Number of tree left after 8 years.

A = P{1-R/100}^\(^{T}\) = 10M{1-1%/100}^  \(^{8}\)

= 10M *(0.99)\(^\)^\(^{8}\)

= 9227446

If round at hundredth, then,

Number of tree = 9227400.

Identify the asset's cost. Get the asset's total depreciable value by deducting the projected salvage value from the asset's purchase price. Determine the asset's useful life. The annual depreciation amount is obtained by dividing the sum of steps (2) and (3) by the figure determined in steps (3).

Depreciation is the practice of deducting the cost of a company asset over a number of years as opposed to just one. There are four primary ways to depreciate assets: linear, twofold declining, sum of the years' digits, and manufacturing units.

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Answer:

AC = 23

Step-by-step explanation:

Assuming A, B, and C are on a line with B in the middle...

We know that AB + BC = AC. Travelling from A to C is the same as travelling from A to B, then B to C, as B is on the way between A and C.

Knowing this, we can set up this equation and add the 2 numbers we know:

AC = AB + BC

AC = 11 + 12

AC = 23

Answer:

y=1x+1

Step-by-step explanation:

y=1x+1 gradient= 1 and y-intersept = 1

Answer:

-66

Step-by-step explanation:

Answer:

goo

Step-by-step explanation:

gooodret

Answer:

2

Step-by-step explanation:

PEMDAS

(-3+4)2

(1)2

2x1=2

Answer:

360 in

Step-by-step explanation:

To figure out how many inches the dressmaker has in 10, 3 ft rolls, we can multiply by the conversion ratio:

\(\dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies (10 \cdot 3 \text{ ft}) \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30 \text{ ft} \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30\cdot 12 \text{ in} \\ \\ \text{} \ \ \implies \boxed{360 \text{ in}}\)

So, the dressmaker has 360 in of ribbon.

Answer:

\(y=-6x-2, y=-6x-2\)  

infinitely many solutions : The equations are identical, so the lines are exactly the same.  Therefore, every coordinate pair on the line is a solution to both equations.

(this is called a dependent system)

\(y=0.5x+5, y=0.5x+1\)

no solutions : The two lines have the same slope (gradient), therefore they are parallel and will never intersect.

(this is called an inconsistent system)

\(y=0.25x-2,y=5x-4\)

one solution : The lines intersect at only one point.

(this is called an independent system)

\(y=2x+3,y=4x-1\)

one solution : The lines intersect at only one point.

(this is called an independent system)

\(y=2x+1.5, y=2x+1.5\)

infinitely many solutions : The equations are identical, so the lines are exactly the same.  Therefore, every coordinate pair on the line is a solution to both equations.

(this is called a dependent system)

\(y=-x-3, y=-x+3\)

no solutions : The two lines have the same slope (gradient), therefore they are parallel and will never intersect.

(this is called an inconsistent system)

The income statement should include all sources of revenue and deduct all applicable expenses to calculate the net income or loss for the period. To create a balance sheet gather information about the company's assets, liabilities, and shareholders' equity as of that specific date. To determine whether there has been an increase or decrease compare the net income figure from a previous period with the net income figure from the current period

1) To prepare a projected income statement for the year ending November 20, sora, you would need to gather information about the revenues and expenses expected during that period. The income statement should include all sources of revenue and deduct all applicable expenses to calculate the net income or loss for the period.

2) To create a balance sheet as of November 30, 2oya, you will need to gather information about the company's assets, liabilities, and shareholders' equity as of that specific date. The balance sheet provides a snapshot of the company's financial position, showing what it owns, owes, and the remaining equity.

3) To determine whether there has been an increase or decrease in the amount of net income, you would need to compare the net income figure from a previous period (presumably November 20, sora) with the net income figure from the current period (ending November 30, 2oya). If the net income has increased, it means the company has generated more profit during the current period compared to the previous one. Conversely, if the net income has decreased, it indicates a decline in profitability.

Overall, the task involves preparing a projected income statement and balance sheet and analyzing the change in net income to assess the company's financial performance.

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Answer as a decimal is -172.

Given :

= (-17.2 x 2.5) x 4

= (-43) x 4

= -172

Therefore the answer as a decimal is -172.

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Answer:

h = 28.2 ft tall

Step-by-step explanation:

19² + h² = 34²

361 + h² = 1156

h² = 1156 - 361

h² = 795

h = \(\sqrt{795}\)

h = 28.2

Hope this helps!

Answer:

Use the pythagorean theorem

a^2 + 19^2 = 34^2

a^2 = 28

Step-by-step explanation:

Answer: 11 1/3 gallons of lemonade

The rate of change of the area of the triangle at the given instant is 4 cm²/s. Thus, the correct answer is (B) 4. The rate of change of the area of the triangle can be determined using the formula for the area of a triangle, which is A = (1/2) * base * height.

We are given that the base is increasing at a constant rate of 2 cm/s and the height is decreasing at a rate of 1 cm/s.

At the instant when the height is 5 cm and the area is 5 cm², we can substitute these values into the formula to solve for the rate of change of the area. Let's denote the rate of change of the area as dA/dt.

A = (1/2) * base * height

5 = (1/2) * base * 5

Simplifying the equation, we have:

base = 2

Now, we can differentiate both sides of the equation with respect to time (t):

dA/dt = (1/2) * (dbase/dt) * height + (1/2) * base * (dheight/dt)

Substituting the given rates of change:

dA/dt = (1/2) * (2 cm/s) * 5 cm + (1/2) * 2 cm * (-1 cm/s)

Simplifying further:

dA/dt = 5 cm^2/s - 1 cm^2/s

dA/dt = 4 cm^2/s

Therefore, the rate of change of the area of the triangle at the given instant is 4 cm^2/s. Thus, the correct answer is (B) 4.

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This integral does not have a closed-form solution using elementary functions, so we would typically use numerical methods to solve for 'a'. However, it is important to note that 'a' must lie in the interval [0, π] for the given region.

To find the values of 'a' for which the double integral of r*sin(xy) over the region r={(x,y) : 0≤x≤π, 0≤y≤a} equals 1, we need to evaluate the integral and then solve for 'a'.

Step 1: Set up the double integral
∫(from 0 to π) ∫(from 0 to a) sin(xy) dy dx

Step 2: Integrate with respect to 'y'
∫(from 0 to π) [-cos(xy)/x] (from 0 to a) dx

Step 3: Apply the limits for 'y'
∫(from 0 to π) [-cos(a*x)/x + cos(0)/x] dx

Step 4: Simplify the expression
∫(from 0 to π) [-cos(a*x)/x + 1/x] dx

Step 5: Set the integral equal to 1 and solve for 'a'
1 = ∫(from 0 to π) [-cos(a*x)/x + 1/x] dx

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The value of 'a'  in the system of equations will be;

⇒ a = - 4

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equation are;

⇒ ax + 12y = - 6

⇒ 2x - 6y = 4

Now,

By the condition of No solution for the system, we get;

⇒ a / 2 = 12 / - 6

⇒ a / 2 = - 2

⇒ a = - 4

Thus, The value of 'a'  in the system of equations will be;

⇒ a = - 4

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Answer:

126

Step-by-step explanation:

x=24

140-24= 126

Answer:

To the Nearest Tenth?!

I got's you my G

= 161.7

Step-by-step explanation:

126    

yeah thats the right answer

π/32 is the area enclosed by the curve r= sin(8θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = \(\int\limits^a_b {\frac{1}{2} r^2 } \, d\theta\)

where a and b is the boundary at which r=0

so after equation r=0

sin(8θ) =0

=> sin(8θ) =0

=> 8θ = 0,π

=> θ = 0, π/8

so a=0 , b= π/8

now  

   A = \(\int\limits^a_b {\frac{1}{2} r^2 } \, d\theta\)    ------(i)

 so   \(r^2\) = (sin(8θ))^2

=>  \(sin^2\) ( 8θ )

ans we know that

cos(2α) = 1 -  2\(sin^2\) α

so   \(r^2\)  = (1- cos(16θ) )/2

putting the value of r in the equation (i) we get :-

A = \(\int\limits^a_b {\frac{1}{4} *(1-cos(16\alpha ) } \, d\alpha\)

=> 1/4* \(\int\limits^a_b {(1-cos(16\alpha ) } \, d\alpha\)

here a=0 and b=π/8

after putting the value and solving the integral

A = π/32

so A is the area enclosed by r=sin(8θ) is π/32

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Answer:

I cant see the triangle but all you have to do is:

1. Locate Angle C

2. Write down the opposite side/hypotenuse

3. Divide the 2 numbers in the fraction you for from step 2

Hypotenuse - the side on the opposite side of the right angle

Opposite Side- the farthest side from the angle you're looking at

rlly hope this helps <3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

So we know that:

\(f(3)=-2\text{ and } f(4)=-4\)

This is the same as saying we have two coordinates: (3,-2) and (4,-4).

Let's find the equation of the linear function.

First, let's find the slope:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Substitute (3,-2) for x₁ and y₁ and let (4,-4) be x₂ and y₂:

\(m=\frac{-4--2}{4-3}\)

Simplify:

\(m=-2/1=-2\)

So our slope is -2.

Now, use the point-slope form:

\(y-y_1=m(x-x_1)\)

Let's use (3,-2) for x₁ and y₁ and use -2 for m:

\(y+2=-2(x-3)\)

Now, we can figure out the x-intercept.

Recall that the x-intercept is when the graph touches the x-axis.

In other words, the y-value would be 0. It will be (x,0).

So, to solve for the x-intercept, substitute 0 for y and solve for x:

\(0+2=-2(x-3)\)

Simplify and distribute the right:

\(2=-2x+6\)

Subtract 6:

\(-4=-2x\)

Divide both sides by -2:

\(x=2\)

So, our x-intercept is (2,0)