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3 years ago

PLEASE HELP ME ITS FOR MY TEST SO PLEASE NO WRONG ANSWERS

Mathematics

1 answer:

AveGali [126]3 years ago

3 0

Let's take a look at the exponent rule:

${x}^{a} \times {x}^{b} = {x}^{a + b}$

Her mistake was she multiplied the exponents instead of adding it up.

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a texts fonts fits 12 characters per inch.using the sane font,how many characters can be expected per yard of text.

11Alexandr11 [23.1K]

You would be able to fit 432 characters per yard. (12 x 32)

6 0

3 years ago

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What is the rule of 72 used to determine? A. the approximate time it takes an investment to triple in value B. the approximate t

ValentinkaMS [17]

Answer:

Step-by-step explanation:

This can be derived using the formula to calculate future value of an amount which is given as:

FV=PV(1+i)^{n}

Where

FV is the future value

PV is the present value

i is the compound interest rate

n is the time period

To calculate how much time it takes to triple an amount, let's substitute $1 in place of PV and $3 in place of FV in the above equation.

3=(1+i)^{n}

Taking natural log on both sides, we get

log_{e} 3= n log_{e}(1+i)

n={\log_{e}3}/{log_{e}(1+i)}....................(1)

Using some log magic, this formula can also be written as

n=log_{(1+i)}3................(2)

Both equations (1) and (2) work fine.

(b)

In order to derive a rule 72 style formula start from equation (1) above. In that formula, we can say that for small values of interest rate,

log_{e}(1+i) ~ i ( This is a property of log)

Substituting this is equation (1), we get

n=log_{e}3/{i}

n={1.098}/{i}

Since, we want to use i as an integer and not as a percentage (so, 3% will be used as 3 and not 0.03), we multiply the RHS by 100

n={109.8}/{i}

and then to make it cleaner, we round off 109.8 to 110.

n={110}/{i}

Now, many times, people round this 109.8 off to 114. This is to make the calculations a little bit easier as 114 is number that has a lot of factors. So, if the numerator is rounded off to 114, the formula becomes

n={114}/{i}

6 0

3 years ago

Read 2 more answers

Artyom0805 [142]

Answer:

Step-by-step explanation:

7 0

3 years ago

Find f(x) if it is known that f(x+3)=4x+12.

MArishka [77]

Solution:

we are given that

$f(x+3)=4x+12$

we have been asked to find f(x).

we can find the value of f(x) by re-writing the given function in the form of f(x+3) and thereafter we will replace (x+3) by x.

we can re-write the given function as below

$f(x+3)=4(x+3)\\\\\Rightarrow f(x)=4x\\$

Hence the expression representing f(x) is f(x)=4x+3.

8 0

3 years ago

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Use the following problem to answer questions 7 and 8. Carrie draws 5 cards simultaneously from a well-shuffled deck of 52 playi

Alexxx [7]

Answer:

The probability that she chooses 3 spades and 2 cards that are not spades is

0.08154

Step-by-step explanation:

52 deck cards have 13 spades , 13 clubs , 13 diamond, 13 hearts

spades = 13

Non spades = 39

Selecting 3 spades = 13C3 (Using combination)

selecting 2 spades = 39C2

in total 5 cards are drawn = 52C5

Probability of drawing 5 cards (3spades+2 non spades)

= $\frac{ 13C3*39C2}{52C5}$ = 0.08154

8 0

3 years ago