Answer: 15 1/3 months
Step-by-step explanation:
Daniella has $210 in the bank, and her balance grows at a rate of $3 each month. This can be written as:
b = 3m + 210 ...... equation i
Lori has $187 in the bank and her balance grows at a rate of $4.50 each month. This can be written as:
b = 4.5m + 187 ....... equation ii
Combine both equations
b = 3m + 210
b = 4.5m + 187
3m + 210 = 4.5m + 187
4.5m - 3m = 210 - 187
1.5m = 23
m = 23/1.5
m = 15 1/3 months
Let, length and breadth of rectangle is L and B respectively.
It is given that :
The length rectangle is 4 cm more than 3 times the width of the rectangle.
L = 3B + 4 ......1 )
Also, area of square = area of the rectangle + 66
L² = LB + 66
Putting value of L from
L² = ( 3B + 4 )( B ) + 66
L² = 3B² + 4B + 66
( 3B + 4 )² = 3B² + 4B + 66
9B² + 16 + 24B = 3B² + 4B + 66
6B² + 20B - 50 = 0
3B² + 10B - 25 = 0
3B² + 15B - 5B -25 = 0
3B( B + 5 ) -5( B + 5 ) = 0
B = 5/3 units
L = 3( 5/3 ) + 4
L = 5 + 4 = 9 units
Hence, this is the required solution.
Answer:
Step-by-step explanation:
Antelope, Montana:
21, 30, 42, 58, 70, 79
Range- 58 79-21= 58
Quartile 1- 30
Quartile 3- 70
Interquartile Range- 40 70-30= 40
Augusta, Maine:
28, 32, 41, 53, 66, 75
Range- 47
Quartile 1- 32
Quartile 3- 66
Interquartile Range- 34
