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maks197457 [2]
3 years ago
8

Diego deposits $4,200 into a savings account that pays 5% simple interest. He decides not to touch the money until it doubles. H

ow long will Diego have to keep the money in this account?
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0
Principal money deposited by Diego into the savings account = $4200
Final amount of money taht Diego will get = (4200 * 2) dollars
                                                                   = 8400 dollars
Percentage of simple interest given = 5%
Let us assume that after x years the money is going to double.
Then
Amount = Principal (1 + rate of Interest * Time)
8400 = 4200[ 1 + (5/100) * x]
8400/4200 = 1 + (x/20)
2 = 1 + (x/20)
2 - 1 = x/20
x/20 = 1
x = 20
So after 20 years the money will get doubled.
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Answer:

12/25

Step-by-step explanation:

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Help Please: Two boats start their journey from the same point A and travel along directions AC and AD, as shown below: What is
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Answer:

  230.9 ft

Step-by-step explanation:

The side ratios of a 30°-60°-90° triangle are 1 : √3 : 2

In ∆ABC, BC = AB/√3 ≈ 115.47 ft

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765ab4 is divisible by 36. Compute all ordered pairs (a, b) for which this is possible
tia_tia [17]

Answer:

All the ordered pairs (a,b) are

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Step-by-step explanation:

765ab4 to be divisible by 36, it must be divisible by both 9 and 4.

For any number to be divisible by 4, the last two digits of the number must be divisible by 4.

Here, the last two digits are b4, so as the number b4 is divisible by 4, b can be 0,2,4,6, and 8.

For any number to be divisible by 9, the sum of all the digit of the number must be divisible by 9.

Here, the sum of all the digits, S= 7+6+5+a+b+4=22+a+b.

Now, we have b={0,2,4,6, 8}

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S=22+a+0=22+a which is a multiple of 9.

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a=5

So, (a,b)=(0,5)

For b=2,

S=22+a+2=24+a which is a multiple of 9.

So, the possible value of the digit a :

a=3

So, (a,b)=(2,3)

For b=4,

S=22+a+4=26+a which is a multiple of 9.

So, the possible value of the digit a :

a=1

So, (a,b)=(4,1)

For b=6,

S=22+a+6=28+a which is a multiple of 9.

So, the possible value of the digit a :

a=8

So, (a,b)=(6,8)

For b=8,

S=22+a+8=30+a which is a multiple of 9.

So, the possible value of the digit a :

a=6

So, (a,b)=(8,6)

Hence, all the ordered pairs (a,b) are

(0,5), (2,3), (4,1), (6,8), and (8,6).

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If each game costs 2 tokens, 120 tokens would equal 60 games.
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