Answer: 54.4 mph
Step-by-step explanation:
First find the distance to the train station. If it took Carlos 4 hours to come back driving at 68 mph, the distance is:
= Speed * time
= 68 * 4
= 272 miles
This means that Carlos drove for 5 hours to cover 272 miles the first time. His average speed was therefore:
= Distance / time
= 272/5
= 54.4 mph
Answer:
y = -(x + 5)² + 4
Step-by-step explanation:
The roots are -3 and -7, so:
y = a (x + 3) (x + 7)
Distribute and complete the square:
y = a (x² + 10x + 21)
y = a (x² + 10x + 25 − 4)
y = a (x² + 10x + 25) − 4a
y = a (x + 5)² − 4a
The vertex is (-5, 4), so a = -1.
y = -(x + 5)² + 4
Answer:
-5n - 4
Step-by-step explanation:
The goal is to simplify this expression.
1. Distribute
-2.5 * 1 = -2.5
-2.5 * 2n = -5n
Now, we have
-2.5 - 5n - 1.5
2. Combine like terms
-2.5 + (-1.5) = -4 (+ * - = - The - cancels out the +)
3. Put it together
-5n - 4
I hope I helped!
Let me know if you need anything else!
~ Zoe
Yes because volume has 3 dimensions, hence the power of 3
To get the Total amount upon investment for the compound interest, plug in the value of x into the given expression bellow
<em>A = 9,000.00(1 + x/100)^(4)</em>
Given data
Principal = $9000
Time = 4 years
Rate = x% per annum
<h3>Solution</h3>
First, convert R as a percent to r as a decimal
r = x/100
r = x/100
Then solve the equation for A
A = P(1 + x/100)^t
A = 9,000.00(1 + x/100)^(4)
A = 9,000.00(1 + x/100)^(4)
The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of x% per year.
Learn more about compound interest here:
brainly.com/question/24924853