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3 years ago

When 18 is subtracted from six times a certain number,the result is -42. what is the number?

2 answers:

7 0

Let x be the number.

Then;

6x-18=-42 (solve for x now)
6x=-42+18
6x=-24
x=-4

Therefore, this number would be -4.

Hope I helped :)

Vlad [161]3 years ago

6 0

To start off, you want to create an equation. 18 subtracted six times from a certain number (let's use a variable 'x') would look like: 6x - 18.
6x - 18 = -42

Next, isolate the variable by adding 18 to both sides.
6x - 18 = -42
+ 18 + 18
6x = -24

Lastly, solve for x.
6x/6 = -24/6
x = -4

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3 years ago

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Answer:

a) Effective annual rate: 18.6%

b) Effective annual rate: 20.27%

c) Effective annual rate: 20.43%

d) Effective annual rate: 20.44%

Step-by-step explanation:

The effective annual interest rate, if it is not compounded continuously, is given by the formula

$I=C(1+\frac{r}{n})^{nt}-C$

where

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r = nominal interest per year

n = compounding frequency

t = the length of time the interest is applied. In this case, 1 year.

In the special case the interest rate is compounded continuously, the interest is given by

$I=Ce^{rt}-C$

(a) Annually

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The effective annual rate is 18.6%

(b) Monthly

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$I=C(1+\frac{0.186}{12})^{12}-C=C(1.2027)-C=C(0.2027)$

The effective annual rate is 20.27%

(c) Daily

There are 365 days in a year

$I=C(1+\frac{0.186}{365})^{365}-C=C(1.2043)-C=C(0.2043)$

The effective annual rate is 20.43%

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Answer:

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So, there are 52/4= 13 cards of each suit.

Among these 13 cards, there are 3 picture cards or face cards as they are called. These are the Jack, Queen and King cards.

So, the number of total picture cards = 4*3 = 12

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