<span>For given hyperbola:
center: (0,0)
a=7 (distance from center to vertices)
a^2=49
c=9 (distance from center to vertices)
c^2=81
c^2=a^2+b^2
b^2=c^2-a^2=81-49=32
Equation of given hyperbola:
..
2: vertices (0,+/-3) foci (0,+/-6)
hyperbola has a vertical transverse axis
Its standard form of equation: , (h,k)=(x,y) coordinates of center
For given hyperbola:
center: (0,0)
a=3 (distance from center to vertices)
a^2=9
c=6 (distance from center to vertices)
c^2=36 a^2+b^2
b^2=c^2-a^2=36-9=25
Equation of given hyperbola:
</span>
Answer:
78 nickels and 22 dimes
Step-by-step explanation:
Nickels = n, Dimes = d
<u>Number of coins = 100</u>
<u>Total sum in the piggy bank = $6.60 </u>
<u>Consider the first equation in the second:</u>
- 5(100 -d) + 10d = 660
- 500 - 5d + 10d = 660
- 5d = 110
- d = 110/5
- d = 22
- n = 100 - 22
- n = 78
<u>Answer:</u> nickels 78 and dimes 22
Answer:
60%
Step-by-step explanation:
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Given that Janice monthly salary is $2,396. And she has deductions of federal income tax withheld at the rate 15%, social security tax at the rate of 6.2% and medicare tax at the rate of 1.45% and health insurance premium worth 95$ per month.
Let us calculate total deductions.
Federal income tax = 15% of 2396 = 0.15*2396 =$359.4
Social security tax = 6.2% of 2396=0.062*2396 =$148.552
Medicare tax = 1.45% of 2396= 0.0145*2396=$34.742
<u>health insurance premium =$95 </u>
Total deductions = $637.694
To calculate Janice net pay we have to subtract deductions from monthly salary that is 2396-637.694 = $1758.306
Hence net pay of Janice is $1758.306 per month.
35% of 60 = (35/100)*60 = 0.35 * 60 = 21
30% of 80 = (30/100)*80 = 0.30 * 80 = 24
24 is greater than 21.
30% of 80 is greater.
