Answer:
A.) 15
B.) 1 year
C.) $50
D.) 1.5%
Step-by-step explanation:
The percentage equation goes thus:
Interest earned = principal * rate * time
A)
Principal: $100 Interest rate: 5% Time in years: 3 Interest earned
Interest earned = $100 * 0.05 * 3
Interest earned = $15
B.)
Principa;" $500 Interest rate: 4% Time in years: interest earned: $20
Interest earned = principal * rate * time
20 = 500 * 0.04 * time
20 = 20 * time
Time = 20 / 20 = 1
Time = 1 year
C.)
Principal: Interest rate:10% Time in years: 7 Interest earned:$35
Interest earned = principal * rate * time
$35 = principal * 0.1 * 7
$35 = principal * 0.7
Principal = $35 / 0.7
Principal = $50
D.)
Principal: $200 Interest rate: Time in years:2 Interest earned: $6
Interest earned = principal * rate * time
$6 = $200 * rate * 2
$6 = $400 * rate
Rate = $6/$400
Rate = 0.015 = 1.5%
Answer:
Step-by-step explanation:
Answer:
b = 15.75
Step-by-step explanation:
Lets find the interception points of the curves
36 x² = 25
x² = 25/36 = 0.69444
|x| = √(25/36) = 5/6
thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).
The area of the bounded region is given by the integral

The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.

125/18 = b^{1.5}/9
b = (62.5²)^{1/3} = 15.75
3x + 4 = 2x + 2
3x - 2x = 2 - 4
x = -2
one solution
10 kilometers is equal to a little over 6 miles. And 6 > 5, therefore 10 kilometers is your answer.