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2 years ago

Using the information given, select the correct ending balance.

Mathematics

1 answer:

klemol [59]2 years ago

6 0

Step-by-step explanation:

Simple first we will add previous balance and total deposit

498.03 + 604.28

= 1102. 31

Then we will subtract it by total withdrawals

1102.31 - 599.49

= 502. 82

The ending balance is 502.82

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Solve for x in the equation ]x^{2} - 12x + 59 = 0

Vedmedyk [2.9K]

Step-by-step explanation:

$x^{2} - 12x + 59 = 0$

Given equaiton is in the form of ax^2 +bx+c=0

we apply quadratic formula to solve for x

$x= \frac{-b+-\sqrt{b^2-4ac} }{2a}$

a= 1 b = -12 and c= 59

$x= \frac{12+-\sqrt{(-12)^2-4(1)(59)}}{2(1)}$

$x= \frac{12+-\sqrt{92}}{2}$

$x= \frac{12+-2\sqrt{23}}{2}$

Divide the 12 and square root terms by 2

$x=6+-\sqrt{23}$

so $x=6+\sqrt{23}$ and $x=6-\sqrt{23}$

8 0

2 years ago

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John and Belinda played a nine holes of golf. John's score was 10 less than two times Belinda's score. If Johns score was 54 str

polet [3.4K]

Answer:

Belinda's score is 32 strokes.

Step-by-step explanation:

Let the score of John be "x" and Belinda be "y".

It is given that, in the game of golf, John's score was 10 less than two times Belinda's score.

Also, John's score is 54 strokes.

The above equation can be written as ;

$x = 2(y) -10$

Here, x = 54,

$54 = 2(y) -10$

$64 = 2(y)$

$y = 32$

Thus, Belinda's score is 32 strokes.

6 0

2 years ago

In a circle with center C and radius 6, minor arc AB has a length of 4pi. What is the measure, in radians, of central angle ACB?

valina [46]

To solve this problem, we need to know that
arc length = r θ where θ is the central angle in radians.

We're given
r = 6 (units)
length of minor arc AB = 4pi
so we need to calculate the central angle, θ
Rearrange equation at the beginning,
θ = (arc length) / r = 4pi / 6 = 2pi /3

Answer: the central angle is 2pi/3 radians, or (2pi/3)*(180/pi) degrees = 120 degrees

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2 years ago

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Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use t

Sveta_85 [38]

Answer:- 0.8/8+x=5/100

Step-by-step explanation:

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2 years ago

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billy is creating a circular garden divided into 8 equal sections. The diameter of the garden is 12 feet. what is the area, in s

xxTIMURxx [149]

Area=πr^2

find the area then divide by 8

we know that diameter=2radius or diameter/2=radius so
12=diameter
12/2=radius=6
subsitute
area=π(6)^2
area=36π
divide 36π by 8
36π/8=18π/4=9π/2π=4.5π
area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get
4.5(3.14159)=area=14.1372 square feet or 14.14 square feet

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2 years ago