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.
First lets get 3% into decimal form.
3% is 3/100 = 0.03
Now multiply 0.03 by 47000 to get how much extra money she was going to get.
47000 * 0.03 = 1410
Now we just add
47000 + 1410 = 48410 is what she was going to make in 2012
Another way to do this is
(47000)(1+0.03) = 48410
you would use (1+0.03) which tells you she increased in pay.
Answer:
see below
Step-by-step explanation:
Company A f(x) = 15(7x)
Company B g(x) = 100x + 5
If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B
A = 105(2) = 210
B = 100(2) + 5 = 205 B costs less False
f Marguerite rents for 2 weeks, it will cost her less if she rents from Company B
A = 105(2) = 210
B = 100(2) + 5 = 205 B costs less True
If Marguerite rents for 1 week, it will cost her the same at either company
A = 105(1) = 105
B = 100(1) +5 = 105 True
If Marguerite rents for 1 week, it will cost her more if she rents from Company A
A = 105(1) = 105
B = 100(1) +5 = 105 False
h(x) = 5x – 5
h(x) = f(x) – g(x)
=15(7x) - ( 100x + 5)
= 105x - 100x -5
= 5x-5 True
h(x) = 5x + 5 False
