9514 1404 393
Answer:
- k = 45 . . . miles per hour
- k = 1/45 . . . hours per mile
Step-by-step explanation:
One way we can relate distance and time is ...
time = k × distance
Then the value of k (the constant of proportionality) is ...
k = time/distance = 4 hours/(180 miles)
k = (1/45) hours/mile
__
Another way we can relate the variables is ...
distance = k × time
Then the value of k (the constant of proportionality) is ...
k = distance/time = (180 miles)/(4 hours)
k = 45 miles/hour
Answer:
D: 8
Step-by-step explanation:
7 + (2 + 6) ^2 ÷ 4 ⋅ (1/2)^4
According to PEMDAS
We to parentheses first
7 + (8)^ 2 ÷ 4 ⋅ (1/2)^4
Then we do exponents
7 + 64 ÷ 4 ⋅ (1/16)
The multiply and divide from left to right
7+64 ÷ 4 ⋅ (1/16)
7+16 ⋅ (1/16)
Then add and subtract from left to right
7+1
8
Answer:
x = -17/5
Step-by-step explanation:
Subtract 7 from both sides
5x= -10-7
Simplify -10 - 7 to -17
5x = -17
Divide both sides by 5
x= -17/5
Decimal Form: -3.4
Given:
Annual interest rate = r%
Growth factor : x = 1 + r
The below function gives the amount in the account after 4 years when the growth factor is x .
To find:
The total amount in the account if the interest rate for the account is 3% each year and initial amount.
Solution:
Rate of interest = 3% = 0.03
Growth factor : x = 1 + 0.03 = 1.03
We have,
Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.
Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.
For initial amount the rate of interest is 0.
Growth factor : x = 1 + 0 = 1
Substitute x=0 in the given function to find the initial amount.
Therefore, 2250 was put into the account at the beginning.