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3 years ago

1. Select all the expressions that are equivalent to 4 - x.

Mathematics

1 answer:

viktelen [127]3 years ago

4 0

Step-by-step explanation:

It is required to find the expressions that are equivalent to 4-x. We can also write it as :

Option (b) : (4-x) = 4+(-x)

Option (c) : (4-x) = -x+4

Hence, the correct options are (B) and (C).

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3 years ago

Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1

crimeas [40]

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is $r=10\%$

Future value is given by $s=1000e^{0.1t}$

For the investment to double itself, i.e. $s=2000$

$\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}$

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3 years ago

11. What's the perimeter of a regular heptagon if one side measures 3 inches?

NemiM [27]

When a polygon is regular, that means that all of its sides are the same length and all of its angles are the same. A heptagon has seven sides and you know that all of them measure 3 inches. You can find the perimeter by adding all of the side measures together, so 3 + 3 + 3 + 3 + 3 + 3 + 3, or 3 x 7. So, the perimeter of the heptagon is 21 inches.

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3 years ago