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san4es73 [151]
3 years ago
15

Find x. a x = 15 b x = 14 c x = 13 d x = 12

Mathematics
1 answer:
Elza [17]3 years ago
4 0

Answer:

a) x=15

Step-by-step explanation:

as they are parallel,

10/16 = x/24

x = 10/16 × 24

x = 15

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If DF = 170, find the value of x. Then find DE and EF.<br> DE=3x + 20<br> EF=2x + 40
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9514 1404 393

Answer:

  DE = 86

  EF = 84

Step-by-step explanation:

We assume that point E lies on segment DF, so that ...

  DE + EF = DF

  (3x +20) +(2x +40) = 170

  5x = 110 . . . . . . . . . . . . . . . collect terms, subtract 60

  x = 22 . . . . . . . . . . . . divide by 5

  DE = 3×22 +20 = 66 +20 = 86

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Answer:

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Step-by-step explanation:

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Read 2 more answers
You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us
Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that    

step 1

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

r=10\%=10/100=0.10\\n=4  

substitute in the formula above

A=P(1+\frac{0.10}{4})^{4t}  

A=P(1.025)^{4t}  

Applying property of exponents

A=P[(1.025)^{4}]^{t}  

A=P(1.1038)^{t}  

step 2

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

r=10\%=10/100=0.10  

substitute in the formula above

A=P(e)^{0.10t}  

Applying property of exponents

A=P[(e)^{0.10}]^{t}  

A=P(1.1052)^{t}  

step 3

Compare the final amount

P(1.1052)^{t} > P(1.1038)^{t}

therefore

Find the difference

P(1.1052)^{t} - P(1.1038)^{t} ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

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3 years ago
Please help domain/range and eqation
Elena-2011 [213]
Domain: (infinity, 4]
range: [-6, infinity)
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