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4 years ago

Write the next Number in this pattern. 10,11,20,21,30,31

Mathematics

2 answers:

MArishka [77]4 years ago

8 0

The next (2) numbers are 40 and 41!

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Alexeev081 [22]4 years ago

5 0

The numbers are 40 and 41

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If discount rate is 12%, the present value of Rs X recieved at the end of each year for the next five years is equal to

myrzilka [38]

Answer:

Present Value = $X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ]$

Step-by-step explanation:

To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?

Solution -

We know that, formula for finding the Present vale is given by

Present value = Future value / (1 + r)ⁿ

where r is the rate of interest

and n is Number of periods

Now,

Here in the question, we have

r = 12% = 12/100 = 0.12

n = 5

Also, Given that, we have received Rs X at the end of each year

So,

Present Value = $\frac{X}{(1 + 0.12)^{1} } + \frac{X}{(1 + 0.12)^{2} } + \frac{X}{(1 + 0.12)^{3} } + \frac{X}{(1 + 0.12)^{4} } + \frac{X}{(1 + 0.12)^{5} }$

= $X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ]$

⇒Present Value = $X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ]$

7 0

3 years ago

Jason works at least 5 hours but not more than 10. He earns $15.00 per hour. The function f(x) = 15t represents the money he ear

frosja888 [35]

Answer:

Step-by-step explanation:

The amount of money that Jason earns is dependent on the amount of time, t in hours that he works

The function f(x) = 15t represents the money he earns for working t hours. Therefore, the dependent variable is f(x) and the independent variable is t

Jason works at least 5 hours but not more than 10. This means that The minimum amount that he can earn is 15×5 = $75

The maximum amount that he can earn is 15×10 = $150

The practical domain is all possible values for t. It becomes

5 lesser than or equal to t lesser than or equal to 10

The practical range is all possible values for f(x). It becomes

75 lesser than or equal to f(x) lesser than or equal to 150

7 0

3 years ago

If 19.40 is paid per 200 brochures how much is paid for 600 brochures sold

arlik [135]

Answer:

$58.20

Step-by-step explanation:

600 /200 = 3

3 * 19.40 = 58.20

5 0

3 years ago

For the following problem, match the name of the number property that was used to get to each step from the previous step.

S_A_V [24]

Answer:

37×2×(-5+5+1/2) = inverse property of addition

37×2×(0+1/2) = commutative property

37×2×1/2 = identity property of addition

37×1 = inverse property of multiplication

37 = identity property of multiplication

I hope it helps

Step-by-step explanation:

8 0

3 years ago

How many solutions does the following equation have? |4x + 12| = 0

liq [111]

Only -3 satisfies this equation. so i think it has only one solution! hope it will help you..

6 0

4 years ago

Read 2 more answers