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2 years ago

Sandy has $200 in her bank account

Mathematics

1 answer:

gayaneshka [121]2 years ago

8 0

Answer:

200- (6*19.98)= x; 80.12

Step-by-step explanation:

Sandy has $200. From there, she wrote 6 $19.98 checks. To find what the balance is after you have to find the amount of money she wrote in total on the checks and then subtract it from the original balance in her bank account.

200- (6*19.98)= x

200- 119.88= x

80.12=x

Her account balance is $80.12

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What is 2 3/5 multiplied by 2 as a mixed number or fraction

vivado [14]

Answer:

26/5 or 5 1/5

Step-by-step explanation:

First convert 2 3/5 into an improper fraction: 13/5.

Then multiply this result by 2: 2(13/5) = 26/5. This is the answer as an improper fraction.

26/5 as a mixed number would be 5 1/5.

6 0

3 years ago

Y=-x <br>y=-7x<br><br>solve system of equations algebraically <br>

snow_lady [41]

Answer:

(x,y) = (0,0)

Step-by-step explanation:

Let both as equation (1) and (2)

put equal both sides -x = -7x

-x + 7x = 0

6x = 0

x = 0

put it in 2nd equation

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3 years ago

Hi! I need help with the attached question in calc. Thank you:)

Elena L [17]

Answer:

3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

So, x = y/9.

Our radius since our axis is AB will be 1 - x or 1 - y/9.

And we are integrating from y = 0 to y = 9.

By the disk method (for a vertical axis of revolution):

$\displaystyle V=\pi \int_a^b [R(y)]^2\, dy$

So:

$\displaystyle V=\pi\int_0^9\Big(1-\frac{y}{9}\Big)^2\, dy$

Simplify:

$\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy$

Integrate:

$\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]$

Evaluate (I ignored the 0):

$\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi$

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

$\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi$