Answer:
73.68%
Step-by-step explanation:
To find the amount of increase subtract 33-19 to get 14.
The percent increase is the amount of increase/initial length * 100
So 14/19*100 = 73.684...
Rounding to the nearest hundredth = 73.68%
Answer:
49
Step-by-step explanation:
x = 7
1 / x^-2
= x^2
= 7^2
= 49
Answer:
π
Step-by-step explanation:
Solve for x on the interval [0, 2pi]
Given the equation
Sinx = cosx + 1
Square both sides of the equation
Sin²x = (cos x + 1)²
Sin²x = cos²x + 2cos x + 1
Since Sin²x = 1 - cos²x
1 - cos²x = cos²x + 2cos x + 1
Collect like terms
1-1-cos²x-cos²x-2cos x = 0
-2cos²x-2cos x = 0
-2cos²x = 2cos x
-cosx = 1
cos x = -1
x = arccos -1
x = 180 degrees
<em>Hence the value of x = π</em>
Answer:
$1000 + $25m and $1300 - 25m ;
1100 + 2.75m
2010 (4th month)
2011 ( 7th month)
Step-by-step explanation:
Joline's account :
Initial deposit = $1000
Monthly deposit = $25
Monthly withdrawal = $25
Number of months = 12
Let m = number of month at any point in time
Initial deposit + total deposit
Amount in Joline's account ; first 12 months
$1000 + $25m - - - (1)
Next 12 months :
$1000 + $25 *12 - 25m
1300 - 25m
Sofia's account :
Deposit amount = $1100
Interest per month = 0.25% = 0.0025
1100 + (1100 * 0.0025 * m)
1100 + 2.75m - - (2)
To find the month:
Equate equation 1 and 2, then find m
$1000 + $25m = 1100 + (1100*0.0025*m)
1000 + 25m = 1100 + 2.75m
25m - 2.75m = 1100 - 1000
22.25m = 100
m = 100 / 22.25
m = 4.494
In year 2010, they have approximately the same amount in the fourth month
1300 - 25m = 1100 + 2.75m
1300 - 1100 = 2.75m + 25m
200 = 27.75m
m = 200 / 27.75
m = 7.207
In 2011 ; they have approximately the se amount in the 7th month
49π (153.938) is the area of the circle.
Formula is πr²
π(7)²
49π