Posted in Mathematics

He would have to take out at least 16 coins.

Taking any less could result in having fewer quarters since even 15 could result in 12 dimes and 3 quarters. This way it will always be at least 4 quarters.


Related Questions

Posted in Mathematics

How do you derive the lens maker’s equation? …?

Using Snell’s law ( n1 sin θi = n2 sin θr ) at point A gives

1)        sin i1 = n sin r1             

2)        i1 = n r1

3)        i1 = α1 + β1

4)        r1 = β1 – γ

5)        α1 + β1 = n(β1 – γ)

6)        sin i2 = n sin r2

7)        i2 = n r2

8)        i2 = α2 + β2

9)        r2 = β2 + γ

10)      α2 + β2 = n(β2 + γ)

11)      α1 + α2 = (n – 1)(β1 + β2)

12)  1/s + 1/s’ = (n – 1)(1/R1 + 1/R2)

13) 1/f = (n – 1)(1/R1 – 1/R2)

14) 1/s + 1/s’ = 1/f

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Posted in Mathematics

If you were to place $5,000 in a savings account that pays 6% interest compounded continuously, how much money will you have after 4 years? Assume you make no other deposits or withdrawals. A. $6,356.25 B. $11,821.07 C. $5,024 D. $6,312.38 …?

Answer:

Option D – $6312.38

Step-by-step explanation:

Given : If you were to place $5,000 in a savings account that pays 6% interest compounded continuously.

To find : How much money will you have after 4 years?

Solution :

Using compound interest formula,

A=P(1+r)^t

Where A is the amount,

P is the principle P=$5000  

r is the rate r=6%=0.06

t is the time t= 4 years

Substitute the value,

A=P(1+r)^t

A=(5000)(1+0.06)^4

A=(5000)(1.06)^4

A=5000times 1.262

A=6312.38

The money he have after 4 years is $6312.38

Therefore, Option D is correct.

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Posted in Mathematics

Find the numbers preceding and succeeding the following number…. B0B base 12 ?

Our decimal system is base 10 and has digits from 0 to 9

For a 12 base system you have to add two digits. They will be A and B.

So the numbers of three digits that start with B are B01, B02, B03, B04, B05, B06, B07, B08, B09, B0A, B0B, B10, B11, …

I made a long sequence to help you see more clearly how it works, but you only need to see that the number before and after B0B are B0A and B10.

That is the answer: B0A and B10.

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Posted in Mathematics

if the tax that you pay when you purchase an item is 12% of the sale price, write an expression that gives the tax on the item with a price p. write another expression that gives the total price ofthe item, including tax. – what operations are involved in th expression you wrote -determine the total price, including tax, of an item that costs 75. -explain how the order of operation helped you solve this problem.

Let be t the tax, 
so the tax on the item with a price p is:
t=(12 x p) /100
the total price of the item, including tax
let be T=
the total price, including tax
so T= t+p, where t=(12 x p) /100
so T = 112p/100

he total price, including tax, of an item that costs 75.
by using T = 112p/100, 
we can get T= 112 x 75 / 100, T=84

the problem is not difficult, so as fo me it is obvious

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