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Keith_Richards [23]
3 years ago
7

A number added to itself twelve times is five more than twice the number. What is the number?

Mathematics
1 answer:
zaharov [31]3 years ago
8 0
x- \ searching\ number\\\\
x+12x=2x+5\\
13x-2x=5\\
11x=5\ |:11\\
x=\frac{5}{11}\\\\
The\ number\ is\ \frac{5}{11},

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A rectangle has a width of 6 inches and a perimeter of 26 inches. What is the length of the rectangle?
labwork [276]

Answer:

Length = 7 inches

Step-by-step explanation:

Perimeter = 2L+2W

Perimeter = 26

W = 6

Plug these in: 26=2L + 2*6 ; 26 = 2L + 12

Subtract 12 from both sides.

26-12 = 2L +12 -12 ; 14 = 2L

Devide by 2

14/2 = 2L/2

L=7


3 0
3 years ago
Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem. PV=​$20
White raven [17]
Assuming monthly payment of $250, which implies APR=0.01*12=0.12.
If it is different, please specify.

target P=20000,
A=250
n=to be determined such that P>=target P=20000
The annuity equation with given (monthly) payment is given by
P=250(P/A,i,n)
=A((1+i)^n-1)/(i(1+i)^n)
=250(1.01^n-1)/(0.01(1.01)^n)
=25000(1.01^n-1)/(1.01^n)
Solve for n by trial and error,
Rewrite 
20000<=25000(1-1/1.01^n)
=>
1.01^n>=25000/20000=1.25
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n*log(1.01)>=log(5)
n>=log(5)/log(1.01)=161. 75
=> n=162 (next integer)
Check:
P=250(P/A,0.01,162)=250*(1.01^162-1)/(.01*1.01^162)=20012.56 ok.
8 0
3 years ago
Express 11.037 in words
SpyIntel [72]
Eleven. hundred thirty seven
6 0
3 years ago
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Gnesinka [82]
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8 0
3 years ago
I’ll give brainly The measure of ABC = 180°.
PolarNik [594]

Answer:

y=37

Step-by-step explanation:

the addition of the 3 angles is 180°

then 40 + y +29 +2y  = 180

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        3y= 111

        y =111 ÷ 3

        y = 37

5 0
3 years ago
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