Based on the numbers we have we can assume that she saves 3 times more each week than the last (1*3=3, 3*3=9).
Following this trend we would multiply the amount she saved the third week ($9) by 3 to get $27 for the fourth week.
Then, we would multiply the amount she saved the fourth week ($27) by 3 to get $81 for the fifth week.
Finally, to figure out how much she saved in the 5 weeks, we need to add each value up to get 1+3+9+27+81= $121 saved in 5 weeks
Answer:
Maximum area possible
f(max) = 3906,25 ft²
Dimensions:
a = 62,5 ft
w = 62,5 ft
Step-by-step explanation:
Perimeter of the rectangular fencing P = 250 feet
And sides of the rectangle a and w (width of rectangle)
Then
A = a*w
2a + 2w = 250 ⇒ a = (250 -2w)/ 2 ⇒ a = 125 - w
f(w) = (125 - w ) *w f(w) = 125w - w²
Taking derivatives both sides of the equation
f´(w) = 125 - 2w f´(w) = 0 125 - 2w = 0
w = 125/2
w = 62,5 ft ⇒ a = 125 - 62,5
a = 62,5 ft
f(max) = ( 62,5)²
f(max) = 3906,25 ft²
Answer:
The percent of increase in height of the stalks is 20%.
Step-by-step explanation:
The general formula for a percent increase is as follows: (Original Amount - New Amount/Original Amount) x 100. The original height of the stalks was 60 inches tall. The new height of the stalks is 72 inches. In the numerator of our fraction, we take 72-60 to get 12. Our denominator is the original amount, or 60. This gives us an overall fraction of 12/60, which when we divide gives us 0.2. Once we multiply our decimal by 100, we get an overall percent increase of 20%.
Answer:
17
Step-by-step explanation:
Let a,b,c,d,x represent the five integers in Ascending order.
Given;
The sum of five different positive integers is 320
a+b+c+d+x = 320 .......1
The sum of the greatest three integers in this set is 283
c+d+x = 283 .....2
The sum of the greatest and least integers is 119
a+x = 119 ......3
For the largest possible value;
From equation 3, if a is as low as 1,
x = 119-1 = 118
x = 118
For the least possible value;
Subtract equation 2 from 1
a+b = 320-283 = 37
We know that a cannot be higher than b, so the highest possible value of a is;
a = 37-b
a = 37- 19 = 37-19
a = 18
Substituting into equation 3
x = 119-18 = 101
Difference;
∆x = 118-101 = 17
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