Answer:
Option A.
Step-by-step explanation:
Clarissa needs a $2,500 loan in order to buy a car.
There are 4 options of loan we will calculate all the options that pay the least amount of interest.
To calculate the interest we will use this formula :

Where P = Principal amount
R = rate of interest
T = time in years
A) Principal 2,500 interest 4.75% and time 18 months (1.5 years)

= $178.125
B) Principal 2,500 interest 4% and time 30 months (2.5 years)

= $250
C) Principal 2,500 interest 4.25% and time 24 months (2 years)

= $212.50
D) Principal 2,500 interest 4.50% and time 36 months (3 years)

= $337.50
The least amount of interest would be in option A.
Answer:
a. Alice
b. Briana
c. 0.51 minutes
Step-by-step explanation:
a. Alice formula is valid for any t > 0 minutes, but Briana formula is only valid for
2t - 1 > 0
2t > 1
t > 1/2 minutes
b. They finish when their covered distance is equal to 5 kilometers. For Alice:
t/4 = 5
t = 5*4 = 20 minutes
For Briana:
√(2t - 1) = 5
2t - 1 = 5²
2t = 25 + 1
t = 26/2
t = 13 minutes
c. They are side by side when they have covered the same distance, that is:
t/4 = √(2t - 1)
(t/4)² = 2t - 1
t²/16 = 2t - 1
t² = 16*(2t - 1)
t² = 32t - 16
t² - 32t + 16 = 0
Using quadratic formula:







Only the second answer has sense for this problem because the race already finished before they spent 31.49 minutes in it.
If he increases the number by 10%, he will have 110% of the number.
Then he reduces it by 10% of the new number, which s 11%.
110% - 11% = 99%
The answer is 99%.
Hope this helps!
Answer:
B - Spider-Man
Step-by-step explanation: