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3 years ago

Riley is half as old as Henry. The sum of their ages is 72. How old is henry going tobe nextyear?

1 answer:

3 0

Henry will be 37 next year. If Riley is half as old as Henry then you would divide 72 by 2. That gives you 36 which is how old they both are. Next year Henry will be 37. ( Riley would be too but it doesn't ask for her)

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4.A store pays $85 for a table. The markup is 90%. What is the selling price?

allochka39001 [22]

Answer:

$161.50

Step-by-step explanation:

the revenue for an item of $85 with a 90% markup is $161.50

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3 years ago

Casey deposited $1,450 in a bank account with an interest rate of 4%. How much simple interest was earned in two years?

vekshin1

Answer:

$116

Step-by-step explanation:

The Simple Interest formula is i = prt. Here,

i = ($1,450)(0.04)(2 yr) = $116

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3 years ago

Find slope of the graph 9x-3y=15

LekaFEV [45]

<h3><u>Explanation</u></h3>

Convert the equation into slope-intercept form.

$y = mx + b$

where m = slope and b = y-intercept.

What we have to do is to make the y-term as the subject of equation.

$9x - 3y = 15 \\ 9x - 15 = 3y \\ \frac{9x - 15}{3} = y$

Simplify

$\frac{9x}{3} - \frac{15}{3} = y \\ 3x - 5 = y \\ y = 3x - 5$

From y = mx+b, the slope is 3.

<h3><u>Answer</u></h3>

$\large \boxed {slope = 3}$

4 0

3 years ago

Need help on this calculus

N76 [4]

$\displaystyle\int\sin^3t\cos^3t\,\mathrm dt$

One thing you could do is to expand either a factor of $\sin^2t$ or $\cos^2t$ , then expand the integrand. I'll do the first.

You have

$\sin^2t=1-\cos^2t$

which means the integral is equivalent to

$\displaystyle\int\sin t(1-\cos^2t)\cos^3t\,\mathrm dt$

Substitute $u=\cos t$ , so that $\mathrm du=-\sin t\,\mathrm dt$ . This makes it so that the integral above can be rewritten in terms of $u$ as

$\displaystyle-\int(1-u^2)u^3\,\mathrm du=\int(u^5-u^3)\,\mathrm du$

Now just use the power rule:

$\displaystyle\int(u^5-u^3)\,\mathrm du=\dfrac16u^6-\dfrac14u^4+C$

Back-substitute to get the antiderivative back in terms of $t$ :

$\dfrac16\cos^6t-\dfrac14\cos^4t+C$

4 0

3 years ago

Read 2 more answers

Which of the following is a factor of x15 − 64?

svetoff [14.1K]

Answer:(x^5−4) and (x^10+4x^5+16)

3 0

3 years ago