Let the actual value of the stool be x.
So if the carpenter sells the stool x rupees he neither loses, now wins anything.
67.50 is the value x - 10% of x, that is:
67.50=x-0.1x
67.50=0.9x
x=67.50/0.9=75 (rupees) is the actual value of the stool.
Selling the stool for 82.50 rupees, the carpenter clearly would make a profit, say of y% of that actual value, that is y%*75.
So using the same method:
82.50=75+y%*75
y%*75=82.50-75=7.5
we can make the calculations, but clearly 7.5 is 10% of 75
Answer: 10% gain.
225000=200000(1.03^t)
9/8=1.03^t
ln(9/8)=tln(1.03)
t=ln(9/8)/ln(1.03)
t=3.98
t=4 years
a²+b² = c² where a and b are legs and c is the hypotenuse
So...
a²+4²=13²
a²+16=169
a²=153
a=√153
answer: approx. 12.37 units
Answer:The total number of hours worked in the week is 46. The hourly pay would be 40(14) + 6(21) = $686 per week. The annual earnings are 52(686) = $35,672. The salary pay is more than the hourly pay based on the typical hours worked each week given in the table. Therefore, the employee would probably want to choose the salaried pay.
Step-by-step explanation: