Giselle spent 7/10 of her money on a book and 10/100 of her money on food. What fraction of her money did she spend altogether?

Answer:

D

Step-by-step explanation:

Plug in -17 for x.

Then evaluate using integer operations.

q - 7

-17 - 7

-24

Therefore, the answer is -24. And that means D is correct.

(a) The utility function U(x, y) = x²y is homogeneous of degree 3 because if we multiply both x and y by a positive constant λ, the utility function becomes U(λx, λy) = (λx)²(λy) = λ³x²y. The function exhibits a degree of homogeneity equal to the exponent of λ, which in this case is 3.

(b) The budget constraint can be derived by equating the total expenditure to the agent's income. The price of good 1 is 4, so the expenditure on good 1 is 4x, and the price of good 2 is 2, so the expenditure on good 2 is 2y. Therefore, the budget constraint is given by 4x + 2y = 12. To graph this constraint, we plot x on the horizontal axis and y on the vertical axis. The resulting line has a slope of -2 and intersects the x-axis at x = 3 and the y-axis at y = 6.

(c) To compute the marginal utility of good 1, we take the derivative of the utility function with respect to x, which gives us MU₁(x, y) = 2xy. Similarly, the marginal utility of good 2 is given by MU₂(x, y) = x².

(d) The agent's marginal rate of substitution (MRS) represents the rate at which the agent is willing to trade one good for another while maintaining the same level of utility. It is given by MRS = MU₁/MU₂ = 2xy/(x²) = 2y/x. The slope of the budget constraint is equal to the negative ratio of the prices of the two goods, which is -4/2 = -2.

(e) To derive the agent's optimal consumption bundle, we need to find the combination of x and y that maximizes the agent's utility while satisfying the budget constraint. This occurs at the point where the indifference curve (representing constant utility) is tangent to the budget constraint. In this case, the indifference curve is U(x, y) = x²y, and the optimal consumption bundle can be found by solving the system of equations formed by the utility function and the budget constraint. The resulting bundle will depend on the specific values of x and y obtained. By plotting the bundle on the (x, y) plane along with the budget constraint and an indifference curve, we can visually represent the optimal consumption bundle. The slope of the budget constraint represents the rate at which the agent can trade one good for another while staying within the budget constraint.

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The indefinite integral of (5x)ⁿ x sin(4x⁵)dx can be evaluated as an infinite series by using the Maclaurin series for sin(x), which is given by: `sin(x) = x - x³/3! + x⁵/5! - x⁷/7! + ...`Substituting `4x⁵` for `x` in the above equation, we get: `sin(4x⁵) = 4x⁵ - (4x⁵)³/3! + (4x⁵)⁵/5! - (4x⁵)⁷/7! + ...`Thus,

the given integral becomes:

\(`∫ (5x)ⁿ x sin(4x⁵)dx = 5∫ xⁿ (4x⁵ - (4x⁵)³/3! + (4x⁵)⁵/5! - (4x⁵)⁷/7! + ...)dx = 20∫ xⁿ x⁵dx - 20(4/3!)\)

∫ xⁿ x¹⁵dx + 20(4⁵/5!) ∫ xⁿ x²⁵dx - 20(4⁷/7!) ∫ xⁿ x³⁵dx + ...`Evaluating the integrals on the right-hand side using the power rule, we get:

`20∫ xⁿ+⁵dx - 20(4/3!) ∫ xⁿ+¹⁵dx + 20(4⁵/5!) ∫ xⁿ+²⁵dx - 20(4⁷/7!)

∫ xⁿ+³⁵dx + ... = 20((xⁿ+⁶)/(n+6)) - 20(4/(n+16)(n+15)(n+14)(n+13)(n+12))xⁿ+¹⁵ + 20(4⁵/(n+26)(n+25)(n+24)(n+23)(n+22)(n+21))xⁿ+²⁵ - 20(4⁷/(n+36)(n+35)(n+34)(n+33)(n+32)(n+31)(n+30))xⁿ+³⁵ + ... + C`

Therefore, the indefinite integral of (5x)ⁿ x sin(4x⁵)dx can be evaluated as the infinite series: `∫ (5x)ⁿ x sin(4x⁵)dx = Σ[20((xⁿ+⁶)/(n+6)) - 20(4/(n+16)(n+15)(n+14)(n+13)(n+12))xⁿ+¹⁵ + 20(4⁵/(n+26)(n+25)(n+24)(n+23)(n+22)(n+21))xⁿ+²⁵ - 20(4⁷/(n+36)(n+35)(n+34)(n+33)(n+32)(n+31)(n+30))xⁿ+³⁵ + ...] + C`where `Σ` denotes the sum from `n = 0` to infinity.

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Given that Lucy had 72 dollars, which is nine times as much as Xavier had, we can select the right method which represents Xavier's money in the steps below.

Let Xavier's money be x. Since Lucy has nine times more money than Xavier we can say that Lucy's money is;

Since Lucy also had 72 dollars we can say;

Therefore, the right answer would be;

Answer: Option C

Answer:

\(g(f(x)) = 4 - \frac{3}{2} ( \frac{1}{2}x + \frac{3}{2} ) \\ \\ = 4 - \frac{3}{4} x - \frac{9}{4} \\ \\ = \frac{16}{4} - \frac{3}{4}x - \frac{9}{4} \\ \\ = \frac{7}{4} - \frac{3}{4} x\)

We put the equation g(x) and substitute in the place of x the equation f(x) .

I hope I helped you^_^

Answer: 8.3

Step-by-step explanation: Because I know lol <3

6/6 but it simplifies to 1

The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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Answer:

Look where the function intersects the x axis. The x coordinate of those points are the zeroes of the function

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the equation of the line representing relation between the euros and dollars is,

E = mD + b

Where 'E' = Number of euros

D = Number of dollars

m = slope of the line

b = y-intercept

Slope of a line which passes through two points (120, 90) and (400, 300) will be,

m = \(\frac{y_2-y_1}{x_2-x_1}\) = \(\frac{300-90}{400-120}\)

m = 0.75

Equation of the line passing through (120, 90),

90 = 0.75(120) + b

b = 90 - 90 = 0

Therefore, equation of the line will be,

E = mD

E ∝ D

Here m = Proportionality constant

And the relation between the numbers of Euros and US dollars is a proportional relationship.

Answer:

2.05m

Step-by-step explanation:

Given that, height of the right-angled triangle = 4m. Width of the right-angled triangle = 1m. Let's assume that the rectangular enclosure will be built at the base of the right-angled triangle. The area of the rectangular enclosure can be obtained using the formula, Area of rectangle = length × breadth. Length of the rectangle = height of the right-angled triangle = 4mLet the breadth of the rectangle be x, then the length is the width of the right-angled triangle + x = 1 + x Hence, the area of the rectangular enclosure is given by: Area = Length × Breadth= (1+x)×4= 4x + 4m²Now, the maximum area can be obtained by differentiating the above expression with respect to x and equating it to zero: dA/dx = 4 = 0x = -1. This is not a valid solution since we cannot have a negative breadth, hence we conclude that the area is maximum when the breadth of the rectangular enclosure is equal to the width of the right-angled triangle, i.e., when x = 1m. Thus, Area of the rectangular enclosure = Length × Breadth= (1+1)×4= 8 m². Hence, the largest the area of Gottfried’s enclosure can be is 8 m².

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Answer:

\(1\frac{1}{3}\)

Step-by-step explanation:

we divide 8 by 6

8/6

1 2/6

1 1/3

Hopes this helps please mark brainliest

Answer:I believe it’s tuition reimbursement edge 21

Step-by-step explanation:

82.5 million was the profit the year before the profit decreased 20% to 66 million from one year to the next

What does profit means ?

Profit is the term used to describe the financial gain experienced when the revenue from a commercial activity exceeds the costs, costs, and taxes associated with maintaining that activity.

Any profits generated are returned to the company's owners, who can decide whether to keep the money for themselves, pay dividends to shareholders, or reinvest it in the company.

Entire revenue less total costs equals profit.

Companies report gross profit, operational profit, and net profit for accounting purposes (the "bottom line").

Investors are drawn to profitable businesses because these businesses either distribute their earnings as dividends to shareholders or invest them back into the business, which raises stock value.

According to the question Company lost 20% from its profit and it reached to 66 million that means

let X be the total profit of the year

X - loss percent = 66 millions

X - X (20/100) = 66 million

X-0.2X = 66 million

0.8X = 66 million

X= 66/0.8 million

X = 82.5 million

So, 82.5 million was the profit the year before

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Answer:

  -8k -2

Step-by-step explanation:

You want the simplified form of -2(k+1)-6k.

The process of simplifying an algebraic expression includes ...

Parentheses are removed using the distributive property. The factor outside parentheses multiplies each term inside.

  -2(k +1) -6k

  = (-2)(k) +(-2)(1) -6k = -2k -2 -6k

Terms with the same variable content can be combined by adding their coefficients. (The distributive property is involved here, too.)

  = (-2 -6)k -2 = -8k -2

The simplified expression is -8k -2.

In Maben Company's first year of operation, events included issuing common stock for $38,000, borrowing $32,000 from National Bank, earning $56,000 in cash revenues, paying $49,000 in cash expenses, paying a $1,800 cash dividend, acquiring $28,000 from issuing more common stock, paying $8,000 to reduce the bank note, and purchasing land for $61,000. The market value of the land was determined to be $85,000.

The company acquired $38,000 cash from the issue of common stock. This means that individuals or investors provided funds to the company in exchange for ownership (shares) in the company.

Maben Company borrowed $32,000 cash from National Bank. This indicates that the company obtained a loan from the bank, and it is obligated to repay the borrowed amount in the future.

The company earned cash revenues of $56,000 for performing services. This represents the income generated by providing services to customers or clients. The revenue increases the company's cash balance.

Maben Company paid $49,000 cash for various expenses. This includes costs such as salaries, utilities, supplies, and other operating expenses. The payment decreases the company's cash balance.

A $1,800 cash dividend was paid to the stockholders. This means that the company distributed a portion of its profits to the shareholders as a return on their investment.

An additional $28,000 cash was acquired from the issue of common stock. This indicates that the company issued more shares of common stock and received cash in return.

The company paid $8,000 cash to reduce the principal balance of the bank note. This represents a partial repayment of the loan obtained from the bank.

Maben Company paid $61,000 cash to purchase land. This implies that the company acquired a piece of land for its operations or as an investment.

It was determined that the market value of the land is $85,000. This is the estimated value of the land based on market conditions and comparable sales. It provides insight into the company's assets and potential future value.

Overall, these events highlight the inflow and outflow of cash, financing activities, revenue generation, and the acquisition of assets during Maben Company's first year of operation.

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Vertical asymptotes of trigonometric functions are generally drawn as dashed lines on the graph to indicate that the function approaches infinity or negative infinity as x approaches a certain value.

The variable typically used when writing the equation of a vertical asymptote is "x" because the vertical asymptote occurs at a specific x-value.

For the function f(x) = tan(x/2), the vertical asymptotes occur when the denominator of the tangent function equals an odd multiple of pi/2, since this results in a division by zero error. Therefore, two vertical asymptotes for this function are:

x = (2n + 1)pi, where n is an integer.

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The results of the expressions are as follows: num1 + num2 = 17; num3 - num4 = 7; num1 * num4 - num2 = 31; num3 / num2 = 2; num1 % num4 = 0.

To determine the results of the expressions, we can evaluate them using the given assignments:

num1 + num2:

Result: 12 + 5 = 17

num3 - num4:

Result: 10 - 3 = 7

num1 * num4 - num2:

Result: 12 * 3 - 5 = 31

num3 / num2:

Result: 10 / 5 = 2

num1 % num4:

Result: 12 % 3 = 0

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Answer:

the last one, d

Step-by-step explanation:

simplify it and you get x+3, y+1 which is the translation on the graph.

Answer:

30/x

Where x is the number

An initial amount of $725,000, an APR of 6.25%, and a desired time frame of 22 years, the monthly withdrawal amount would be approximately $4,491.95.

To calculate the monthly withdrawal amount that would completely exhaust your savings in 22 years, we can use the present value of an ordinary annuity formula. The present value (PV) represents the initial amount you have, the interest rate per period (i) is the monthly interest rate, and the number of periods (n) is the total number of months.

Here's the step-by-step calculation:

Convert the APR to a monthly interest rate:

Monthly interest rate (i) = Annual interest rate / Number of compounding periods per year

i = 6.25% / 12 = 0.0625 / 12 = 0.00521 (rounded to 5 decimal places)

Determine the total number of periods:

Total number of periods (n) = Number of years * Number of compounding periods per year

n = 22 * 12 = 264

Use the present value of an ordinary annuity formula to calculate the monthly withdrawal amount (PMT):

PMT = PV / [(1 - (1 + i)^(-n)) / i]

In this case, PV = $725,000

PMT = $725,000 / [(1 - (1 + 0.00521)^(-264)) / 0.00521]

Calculate the monthly withdrawal amount using a financial calculator or spreadsheet software:

PMT ≈ $4,491.95 (rounded to the nearest cent)

Therefore, you can withdraw approximately $4,491.95 per month to completely exhaust your savings in 22 years assuming monthly compounding.

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Answer:

domain {-9,-8,3}, range{0,7}

Step-by-step explanation:

domain is the set of all x values

range is the set of all y values

Answer:

64cm² will be your answer

Step-by-step explanation:

SA=4²+4(1/2)(4)(6)

SA=64cm²

hope it helps...

have a great day!!!

Answer:

x=11.8

Step-by-step explanation:

17.2/4.3=4

34.4/4=8.6

47.2/4=11.8

Answer:

11.8

Step-by-step explanation:

17.2/4.3 = 4

34.4/8.6 = 4

47.2/4=11.8

\(\it tan60^o=\dfrac{AB}{BC} \Rightarrow \sqrt3=\dfrac{AB}{50} \Rightarrow AB=50\sqrt3\approx50\cdot1,732\approx87\ m\)

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989

Step-by-step explanation:

Answer:

1=part

2=whole

3=variable

Step-by-step explanation:

here u go

The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

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