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Answer:
Q. Find the range and coefficient of range of the data :
- 100 , 200 , 400 , 600 , 900
⇾ Solution :
- largest value ( L ) = 900 & smallest value ( S ) = 100
We know , Range is the difference between the largest and smallest value. By definition ,
1. Range = Largest value - Lowest value = 900 - 100 =
2. Coefficient of range =
Q. If f ( x ) = 9x - 8x and x belong to { 0 , 4 , 3 ,5 }. Find the range.
⇾ Solution:
When x = 0 , f ( 0 ) = 9 × 0 - 8 × 0 = 0
When x = 4 , f ( 4 ) = 9 × 4 - 8× 4 = 4
When x = 3 , f ( 3 ) = 9 × 3 - 8 × 3 = 3
When x = 5 , f ( 5 ) = 9 × 5 - 8 × 5 = 5
- Range = { 0 , 4 , 3 , 5 )
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Answer:
a)$1628.90
b)$1647.00
c)$1648.72
Step-by-step explanation:
The question is on compound interest.
The formula to apply here is;
where
- P=principal /beginning amount
- r=interest rate as a decimal
- n=number of compoundings a year
- t=total number of years
a) If compounded annually, n=1
p=$1000, r=5%=0.05 t=10
Amount will be;
Amount=$1628.90
b) If compounded monthly, n=12
p=$1000, r=5%=0.05, t=10, n=12
Amount=$1647.00
c)If interest compounded continuously, it means the principal is earning interest constantly and the interest keeps earning on the interest earned.Here the formula to apply is;
A=Pe^rt where e is the mathematical constant e=2.71828182846
Hence the amount will be;
Amount=$1648.72