Ask question

Ask question

All categories

2 years ago

15

Jane is 14 years older than mary. in five years jane will be one less than twice mary's age. what is the sum of jane and mary's

age in years?

1 answer:

Elenna [48]2 years ago

4 0

Answer =44. Hope this answer is helpful and correct.

You might be interested in

Unsure how to do this calculus, the book isn't explaining it well. Thanks

krok68 [10]

One way to capture the domain of integration is with the set

$D = \left\{(x,y) \mid 0 \le x \le 1 \text{ and } -x \le y \le 0\right\}$

Then we can write the double integral as the iterated integral

$\displaystyle \iint_D \cos(y+x) \, dA = \int_0^1 \int_{-x}^0 \cos(y+x) \, dy \, dx$

Compute the integral with respect to $y$ .

$\displaystyle \int_{-x}^0 \cos(y+x) \, dy = \sin(y+x)\bigg|_{y=-x}^{y=0} = \sin(0+x) - \sin(-x+x) = \sin(x)$

Compute the remaining integral.

$\displaystyle \int_0^1 \sin(x) \, dx = -\cos(x) \bigg|_{x=0}^{x=1} = -\cos(1) + \cos(0) = \boxed{1 - \cos(1)}$

We could also swap the order of integration variables by writing

$D = \left\{(x,y) \mid -1 \le y \le 0 \text{ and } -y \le x \le 1\right\}$

and

$\displaystyle \iint_D \cos(y+x) \, dA = \int_{-1}^0 \int_{-y}^1 \cos(y+x) \, dx\, dy$

and this would have led to the same result.

$\displaystyle \int_{-y}^1 \cos(y+x) \, dx = \sin(y+x)\bigg|_{x=-y}^{x=1} = \sin(y+1) - \sin(y-y) = \sin(y+1)$

$\displaystyle \int_{-1}^0 \sin(y+1) \, dy = -\cos(y+1)\bigg|_{y=-1}^{y=0} = -\cos(0+1) + \cos(-1+1) = 1 - \cos(1)$

7 0

1 year ago

Determine the equation for the parabola graphed below

Elza [17]

Answer:

$y=(x-2)^2-1$

Step-by-step explanation:

The given function:

Since the function is open upwards means is of $y=x^2$

And we can see one unit down and 2 units shifted on right in parent function.

Therefore, the function is of $y=(x-2)^2-1$

Graph takes parabola shape by quadratic function.

4 0

3 years ago

The prices of tickets for the local rock concert were $16 for Friday night and $28 for Saturday night. The total attendance for

ASHA 777 [7]

Let x: number of tickets that sold on Friday, y: number of tickets that sold on Saturday night

16x+28y=24232
x+y=1090
x=1090-y,
so 16(1090-y)+28y=24232
17440-16y+28y=24232
12y=6792
y=566. As a result, there will be 566 tickets sold on Saturday night. Hope it help!

4 0

3 years ago

Read 2 more answers

A person filing her federal income tax return with the Single filing status had a taxable income of $79,950. According to the ta

Tom [10]

Answer:

The income that she will have left over after paying his

federal income tax = $63,775.

Step-by-step explanation:

The amount of taxable income = $79,950

So, the taxable income will be in the range from $33,950 to $82,250.

It means, there will be $4675 fixed tax and additional 25% tax on the amount over $33,950.

As

The amount over $33,950 = $79,950 - $33,950 = $46,000

So

The additional tax = 46000 × 0.25 = $11,500 ∵25% = 0.25

So, the total federal income tax will be: $11500 + $4675 = $16,175

Therefore, the income that she will have left over after paying his federal income tax = $79,950 - $16,175 = $63,775.

Keywords: income, income tax

Learn income tax from brainly.com/question/11446109

#learnwithBrainly

4 0

2 years ago

A monthly budget with expenses is shown.

sineoko [7]

It will be 52200 on the dot you walk come

7 0

2 years ago