We know that
3600 seconds = 1 hour
Then
3400 seconds = 3400/3600
= 17/18 hours
5280 feet = 1 mile
Then
63360 feet = 63360/5280 mile
= 12 mile
So
Distance covered by Nina in 17/18 hours = 12 mile
Then
Distance covered by Nina in 1 hour = 12/(17/18) miles
= 12.71 miles.
From the above deduction, we can conclude that the speed of Nina is 12.71 miles per hour.
Speed of Sophia is 10 miles per hour. So Nina is the girl that rides at a faster speed.
2x +10 = -15
2x = -25
2x/2 = -25/2
x = -25/2
hope this helps
Answer:
<em>B. a = y - k/(x-h)² </em>
Step-by-step explanation:
Given the expression y = a (x-h)² + k
First make a the subject of the formula
Subtract k from both sides
y = a (x-h)² + k
y- k = a (x-h)² + k - k
y - k = a (x-h)²
Divide through by (x-h)²
y - k/(x-h)² = a
a = y - k/(x-h)²
Hence option B is correct
After 5 years the amount in the account will be $ 487.
<u>Step-by-step explanation:</u>
Compound Interest, A = 
Where A denotes the investment's future value
P is the Principal amount = $ 400.00
r is the rate of interest annually in decimals = 0.04
n is the no. of times the interest is compounded per unit time, t = 1
t - the number of years or days or months the amount is invested = 5 years
Now we have to plug in those values in the above formula as,
A = 
= 400(1+ 0.04)⁵
= 400(1.04)⁵
= 486.66 ≈ $ 487
