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Mrrafil [7]
3 years ago
11

Jack has $6.00 less than twice the amount of money David has. Together they have $45.00. How much money does Jack have

Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Answer:

Jack - $28

David - $17

Step-by-step explanation:

Jack has 2d-6 where d is David's money. David has d money. Together they have 45 and we add the two together.

2d-6+d=45

3d-6=45

3d=51

d=$17

We can then substitute back and find 2(17)-6=34-6=$28.

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A gold coin appreciated in value from $200.00 to $475.00 in 6 years. Find the yearly rate of appreciation. Show or explain all w
Travka [436]

Answer:

16%

Step-by-step explanation:

To solve this we are using the standard growth equation:

y=a(1+b)^x

Were

y is the final value after x years

a is the initial value

b is the growth factor (yearly rate of appreciation in our case) in decimal form

x is the time in years

We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so y=475, a=200, and x=6.

Let's replace the values in our equation and solve for b:

y=a(1+b)^x

475=200(1+b)^6

\frac{475}{200} =(1+b)^6

2.375=(1+b)^6

\sqrt[6]{2.375} =\sqrt[6]{(1+b)^6}

1+b=\sqrt[6]{2.375}

b=\sqrt[6]{2.375}-1

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which rounds to

b=0.16

Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:

0.16*100% = 16%

We can conclude that the yearly appreciation rate of our gold coin is approximately 16%

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3 years ago
When you multiply one negative number by a positive number the product is...​
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