In 1893, the first Green Jacket Golf Championship was held. The winner's prize money was $230. In 2015, the winner's check was $1,570,000. What was the annual percentage increase in the winner's check over this period?

The interest rate is 7.5%

Step-by-step explanation:

The winner’s prize was in 1893 = $230

Now the winner prize in 2015 = $1570000

Total time period = 2015 – 1893 = 122 years

We have given the initial prize and final price along with the time period of 122 years. Now interest rate is required to calculate.

Future value = present  value (1 + r)^n

1570000 = 230 (1 + r)^122

r = 0.075 or 7.5 %

The interest rate is 7.5%

1; 35 is the ratio

step-by-step explanation:

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !