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ohaa [14]
3 years ago
10

Express in p/q form 0.125125125​

Mathematics
2 answers:
son4ous [18]3 years ago
7 0

Answer:

Step-by-step explanation:

Solution

0.125125125

Cut . Thus after cut . Count numbers then we get there is 9 numbers so divide it in form of 0 like

Thus after cutting . we get

125125125

___________

1000000000

It is in p/q form

Tomtit [17]3 years ago
4 0

Answer:

\frac{125}{999}

Step-by-step explanation:

Create 2 equations with the repeating numbers 125 placed after the decimal point.

let x = 0.125125125 → (1) ← multiply both sides by 1000 )

1000x = 125.125125125 → (2)

Subtract (1) from (2), thus eliminating the repeating decimal

999x = 125 ( divide both sides by 999 )

x = \frac{125}{999} ← in the form \frac{p}{q}

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12(7x)^1/5

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Read 2 more answers
Installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. If the
VikaD [51]

Answer:

(a). $1465.42

(b). $214.58

Step-by-step explanation:

We have been given that installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. The interest rate is 1.25% per month on the unpaid balance.

(a) To find the cost of the TV, we will use monthly payment formula.

R=\frac{Pi}{1-(1+i)^{-n}}, where,

R = Periodic payment,

P = Loan amount,

i = Monthly interest rate in decimal form,

n = Number of total payments.

n=3\times 12=36

1.25\%=\frac{1.25}{100}=0.0125

30=\frac{P*0.0125}{1-(1+0.0125)^{-36}}

30=\frac{0.0125P}{1-(1.0125)^{-36}}

30=\frac{0.0125P}{1-0.6394091578134724264}

30=\frac{0.0125P}{0.3605908421865275736}

10.817725265595827208=0.0125P

0.0125P=10.817725265595827208

P=\frac{10.817725265595827208}{0.0125}

P=865.41802124766617664

P\approx 865.42

We know that total cost of TV would be equal to down payment plus amount of loan that is:

865.42+600=1465.42

Therefore, the total cost of the TV would be $1465.42.

(b). First of all, we need to find total amount paid in 3 years by multiplying amount of each monthly payment by 36 (3 years equal to 36 months).

\$30\times 36=\$1080

To find the total amount of interest paid, we will subtract amount of loan from total payment.

\$1080-\$865.42=\$214.58

Therefore, the total amount paid in interest would be $214.58.

8 0
4 years ago
Suppose a triangle has 2 sides of length 3 and 4 and that the angle between these two sides is 60 degrees. what is the length of
shusha [124]

Answer:

\boxed{b.\:\:\:\sqrt{13}}

Step-by-step explanation:

Let the third side of the triangle be h\: units.


We can apply the cosine rule to find h.


h^2=3^2+4^2-2(3)(4)\cos(60\degree)

We evaluate to obtain;

\Rightarrow h^2=9+16-24(\frac{1}{2})


\Rightarrow h^2=25-12


\Rightarrow h^2=13

We take the positive square root of both sides to obtain;

\Rightarrow h=\sqrt{13}


The correct answer is B.

8 0
3 years ago
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