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Alja [10]
3 years ago
15

Catherine has $400 in her checking account. She writes a check for $600. What is the balance of her account?

Mathematics
2 answers:
nevsk [136]3 years ago
8 0

Answer:

Her new balance is $-200

$400 - $600 is $-200

Shtirlitz [24]3 years ago
6 0

Answer:

240,000

Step-by-step explanation:

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Solve for x in the triangle. Round your answer to the nearest tenth.
natta225 [31]

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given.  Side x is the "side adjacent to the angle" and is to be found.  The hypotenuse is 13.

The cosine function makes use of these three knowns:  the angle, the hypotenuse and the adjacent side.  Thus:

cos 65 degrees = adj / hyp = x / 13, or

x = 13 cos 65

Evaluating this on a calculator, we get  x = 5.49, or x = 5.5 to the nearest tenth.

5 0
2 years ago
2. Given that the radius of the Earth is 6340 Km. calculate the Surface Acer of earth <br>​
serious [3.7K]

Answer:

Step-by-step explanation:

The surface area of a sphere (which the earth is considered to be) = 4 pi r^2

pi = 3.14

r = 6340

Area = 4 * 3.14 * 6340 * 6340 = 504856736 square km.

You should either round this to 505,000,000 or express a value in scientific notation.

5.05 * 10^8

6 0
3 years ago
Estimate the area of a circle with a radius of 21 meters. Use 22/7 for pi. (1 point)
V125BC [204]
A=\pir^{2}

A=(\frac{22}{7})(21^{2})

A=(\frac{22}{7})(441)

A=\frac{22}{7})(\frac{441}{1})

A=\frac{9702}{7}

A=1386 square meters

The answer is B.
5 0
3 years ago
A cell phone provider classifies its customers as Low users (less than 400 minutesper month) or High users (400 or more minutes
Svet_ta [14]

Answer:

a ) See step by step explanation

b) 50%   and  50%

Step-by-step explanation:

The definition of type of user x is:

if x < 400 minutes  per month  low user

if x > 400 minutes per month  high user

The value for these states are of course yes  or no  ( the user is low or high user)

Then:

if the user is low today  xt  (0)    we have the probability of 80% ( 0,8) of have the user in the same condition and 20% (0,2) of having him or her as high user

xt = 1      

If the user is high today xt (1) is high today we have the probability of 70% ( 0,7) of having  the user in the same condition and 30% (0,3) of having him or her as high user

a) Then we construct the stochastic matrix

 Type of user

         (xt)               xt         xt+1  

      Low (0) or L   0,8        0,2

     High(1)  or H   0,3        0,7

The resulting equation system is:

xt  =  0,8* xt  +  0,2* xt+1

xt+1  = 0,3*xt + 0,7* xt+1

1  =  xt + xt+1

Solving for variables         xt+1  =  1  - xt

xt  = 0,8*xt + ( 1 - xt ) * 0,2

xt - 0,8*xt = 0,2 - 0,2xt

xt - 0,6*xt = 0,2

0,4*xt = 0,2

xt = 0,5       and     xt+1  = 0,5

b)  If in January 0,5  ( 50%) of customesr were  low user

In february  teh % of low user customer wll be

xt  =  0,8* xt  +  0,2* xt+1

0,5 = 0,8*0,5 + 0,2*xt+1

0,5 = 0,4 + 0,2 *xt+1

0,1/0,2 = xt+1        xt+1 = 0,5       or   50%

The same answer for March

7 0
3 years ago
WILL MARK U AS BRAINLIEST PLZ HELP
Radda [10]

Answer:

112 if you don't include the triangle sides as they are not necessary, but 124 if you include one triangle and 136 if you include both triangle sides

5 0
2 years ago
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