At the beginning of the week the balance in your checkbook was $298.72. During the week you made a deposit of $425.69. You also wrote checks for $29.72, $135.47, and $208.28. At the end of the week you received a letter from the bank indicating that they had deducted a $5.00 service charge from your account. How much is in your account at the end of the week?

Answers

Answer 1

Answer: $298.72+ $425.69- $29.72- $135.47- $208.28- $5.00= $345.94.

There is $345.94 in the account at the end of the week.

Remember that when you make a deposit, you add money to your account and when you write checks, it means you take away the money from your account.

Hope this helps~

Answer 2

Answer:

Answer:

345.94

Step-by-step explanation:

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If BC = 9 and CD = 29, find AC.
38 Squared Root
3 Radical 29
38
261

Answers

$\Delta ABC\sim\Delta DAC\n\nthen\n\n(|AC|)/(|BC|)=(|CD|)/(|AC|)\n\n|AC|^2=|BC|\cdot|CD|\n\n|AC|^2=9\cdot29\n\n|AC|=√(9\cdot29)\n\n|AC|=3√(29)$

Answer:

3/29

Step-by-step explanation:

A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the length of the radius?

Answers

Answer: The co-ordinates of the center are (-7, -1) and length of the radius is 6 units.

Step-by-step explanation: The given equation of a circle is as follows :

$x^2+y^2+14x+2y+14=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find the co-ordinates of the center and the length of the radius of the circle.

We know that

the standard equation of a circle with center at the point (h, k) and radius r units is given by

$(x-h)^2+(y-k)^2=r^2.$

From equation (i), we have

$x^2+y^2+14x+2y+14=0\n\n\Rightarrow (x^2+14x+49)+(y^2+2y+1)+14-49-1=0\n\n\Rightarrow (x+7)^2+(y+1)^2-36=0\n\n\Rightarrow (x+7)^2+(y+1)^2=36\n\n\Rightarrow (x-(-7))^2+(y-(-1))^2=6^2.$

Comparing with the standard equation, we get

the co-ordinates of the center, (h, k) = (-7, -1)

and

length of the radius, r = 6 units.

Thus, the co-ordinates of the center are (-7, -1) and length of the radius is 6 units.

(-7, -1), 6 units Is The Answer

Solve for x.

6x + 2 = 14

Answers

6x + 2 - 2 = 14 - 2
6x/6 = 12/6
x = 2

Amelia is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Amelia who has hooked a fish that is 10 meters below the surface of the water. Use a positive or negative number to represent the location in relation to sea level. Amelia= Top of the Light house= The Boat= The Fish= How many meters is Amelia from the fish?

Answers

55 or 45 meters not sure

Answer:

Amedia = 30 m

Top of the Lighthouse = +45 m

Boat = 0

Fish = - 10 m
The distance between Amelia and the fish is 40 meter

Step-by-step explanation:

Amelia = 30 m ( height of the cliff) since Amelia is standing on it's edge

-Top of lighthouse = lighthouse is located on top of the cliff ;
mean height of cliff + height of light house = (30 + 15) = 45 m

-The boat = 0 (on the surface of water) ; this is the sea level surface or point

-The fish = - 10 m (10 meters below the water surface).

Distance between Amelia and fish :

30 m - ( - 10 m) = 30 m + 10 m = 40 m

Find the domain of f(x)= sqrt2-9x

Answers

f(x) = $√(2 - 9x)$

2 - 9x ≥ 0

- 9x ≥ - 2

$(-9x)/(-9) \geq (-2)/(-9)$

x ≤ $(2)/(9)$

Interval Notation: (-∞, $(2)/(9)$ ]

Choose one of the factors of x6 + 1000x2

x2 – 10

x4 – 10x2 + 100

x4 + 10x2 + 100

Answers

x⁶ + 1000
x⁶ - 10x⁴ + 10x⁴ + 100x² - 100x² + 1000
x⁶ - 10x⁴ + 100x² + 10x⁴ - 100x² + 1000
x²(x⁴) - x²(10x²) + x²(100) + 10(x⁴) - 10(10x²) + 10(10)
x²(x⁴ - 10x² + 100) + 10(x⁴ - 10x² + 100)
(x² + 10)(x⁴ - 10x² + 100)

C is the Correct Answer 100%.

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