Answer:
Each student's contribution = $17
Each student will save $ 3
Step-by-step explanation:
Cost of the block of 5 tickets is $85.00.
Dividing the $ 85 by 5 would give the equal amount each would have to contribute.
$ 85/5=$ 17
Each will have to pay $ 17 to buy a block of 5 tickets for $85.00.
We can find the amount each will save by subtracting the amount to be shared by the 5 students from the amount paid by the 4 students.
They will save
$ 20-$17=
$3
Each of them will save $3 if they can get a fifth person to join them and the 5 people equally divide the price of the 5-ticket block.
Answer:
√10 / 10
Step-by-step explanation:
tan θ > 0 and sin θ < 0, so θ is in quadrant III. That means cos θ < 0.
cos(θ + π/4)
Use angle sum formula.
cos θ cos(π/4) − sin θ sin(π/4)
½√2 cos θ − ½√2 sin θ
Factor.
½√2 cos θ (1 − tan θ)
½√2 cos θ (1 − 2)
-½√2 cos θ
Write in terms of secant.
-½√2 / sec θ
Use Pythagorean identity (remember that cos θ < 0).
-½√2 / -√(1 + tan²θ)
-½√2 / -√(1 + 2²)
½√2 / √5
√10 / 10
Answer:
The exact interest on $5,870 at 12% is $410.9
Step-by-step explanation:
From the information provided we know that
Principal amount: $5,870
Interest rate: 12% -> 0.12
Time: 7 months (From June to December)
When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:
where P is principal, r is the rate of interest and t is the time in years.
We need to convert the 7 months into 1 year.
Now we can use the above formula
Therefore the exact interest on $5,870 at 12% is $410.9
Answer:
y </ 4x - 6
Step-by-step explanation:
To solve A, complete the square for both variables.
The center is (6,4)
