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2 years ago

How many different six-digit decimal numbers can be formed where the first digit is a 1 or the last digit is a 5?

Mathematics

1 answer:

Mariulka [41]2 years ago

3 0

Answer:

10000 different numbers

Step-by-step explanation:

The numbers will have the form 1XXXX5, in this case, the order is important because 123465 is a different number to 123645. To know the total of differents decimal numbers, use the formula of permutation with repetition:

$n^r$

$n$ is the number of options, $n=10$ , and $r$ the number of times you have to place a digit, $r=4$ .

$10^4=10000$

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If $11,000 is invested in an account for 25 years. Find the value of the investment at the end of 25 years if the interest is:

Naya [18.7K]

If $11,000 is invested, $33,000 is the value of the investment at the end of 25 years if the interest is 8% simple interest and $75,333.23 is the value of the investment at the end of 25 years if the interest is 8% compounded annually. This can be obtained by using formulas for simple interest and compound interest.

<h3>What is the formulas of simple interest and compound interest?</h3>

Simple interest

A = P(1 +Rt/100) , P = principle amount ,R = rate of interest, t = time(in years)

Compound interest (annually)

A = P(1 + R/100)^t , P = principal amount, R = rate of interest, t = time(in years)

<h3>What is the value of investment?</h3>

Given that,

P = $11,000 , R = 8%, t = 25 years

8% simple interest

A = P(1 +Rt/100) = $11000(1+\frac{(8)(25)}{100} )$ = $33,000

8% compounded annually

A = P(1 + R/100)^t = $11000(1+\frac{8}{100} )^{25}$ = $11000(1.08 )^{25}$ = $75,333.23

Hence If $11,000 is invested, $33,000 is the value of the investment at the end of 25 years if the interest is 8% simple interest and $75,333.23 is the value of the investment at the end of 25 years if the interest is 8% compounded annually.

Learn more about simple interest and compound interest:

brainly.com/question/25663053

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: If $11,000 is invested in an account for 25 years. Find the value of the investment at the end of 25 years if the interest is:

(a) 8% simple interest

(b) 8% compounded annually

5 0

1 year ago

7x-5y=-15 and -14x+7y=0 Solve by elimination

geniusboy [140]

Answer: (5,10)

Step-by-step explanation:

multiply first equation with 2 and add it to second to eliminate X

7x-5y=-15 //*2

14x-10y=-30

-14x+7y=0

----------------

-3y=-30

y=-30/-3

y=10

7x=50-15

7x=35

x=35/7

x=5

4 0

2 years ago

#82 will give brainliest to best answer!

Fofino [41]

Answer:

$\frac{6}{k-6}$

Step-by-step explanation:

First, we can factor all of the following equations to turn that weird, huge looking thing into $\frac{(k+6)(k-6)}{(k-6)(k-10)}$ ÷ $\frac{(k-6)^2}{k(k-6)}$ × $\frac{6(k-10)}{k(k + 6)}$ . We know that division is simply multiplication by the reciprocal, so that whole equation will turn into $\frac{(k+6)(k-6)}{(k-6)(k-10)}$ × $\frac{k(k-6)}{(k-6)^2}$ × $\frac{6(k-10)}{k(k+6)}$ . Now we can cancel out some values if they are both in the numerator and denominator, which will turn that still huge looking thing into $\frac{6}{k-6}$ which is our final answer, as it cannot be simplified further.