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2 years ago

15

On February 20, Scott Michael deposited $1,220.45 in his checking account. If his previous balance was $2,104.64, what is his ne

w balance after he records this deposit?

2 answers:

Kryger [21]2 years ago

7 0

The answer is 3325.90

olga55 [171]2 years ago

6 0

The answer is 3,325.09

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PLEASE HELP! The diagonals of a trapezoid are equal.<br><br> always<br> sometimes<br> never

nikdorinn [45]

The diagonals of a trapezoid are equal sometimes,

and they're unequal sometimes.

The diagonals are equal only in an "Isosceles trapezoid" . . .

where the non-parallel sides have equal lengths.

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2 years ago

Integral of x"2+4/x"2+4x+3

dolphi86 [110]

I'm guessing you mean

$\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx$

First, compute the quotient:

$\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}$

Split up the remainder term into partial fractions. Notice that

<em>x</em> ² + 4<em>x</em> + 3 = (<em>x</em> + 3) (<em>x</em> + 1)

Then

$\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52$

So the integral becomes

$\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}$

We can simplify the result somewhat:

$\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}$

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2 years ago

If i go into an ice cream parlor, and i have the choice of having one of 10 different flavors, with one of 5 different toppings

horrorfan [7]

35 hope this helps with the problem

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2 years ago

Find 1 rational number between -2/9 and 0

sergey [27]

Answer:

Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.

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1 year ago

SOMEONE PLS HELP :( I WILL CHOOSE BRAINLIEST!!!

Nikolay [14]

Answer:

x -3y = - 3

Step-by-step explanation:

Slope of line m = (0 -1 )/(-3 - 0) = 1/3

y - intercept b = 1

Equation of line in slope-intercept form is given as:

y = mx + b

Plugging m = 1/3 and b = 1 in the above equation, we find:

y = 1/3 x + 1

-> 3y = x + 3

-> x -3y = - 3

This is the required equation of line.

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1 year ago