Answer:
87.5
Step-by-step explanation:
By completing the square,
y
=-14x^2+70x
=-14(x^2-5x)
=-14(x-5/2)^2+175/2
the max. height=175/2
i.e. 87.5
Answer:
The inequality would be true
Step-by-step explanation:
4(c+2) < 4c + 10
Distribute the 4 on the left
4c + 8 < 4c + 10
Subtract 4c from both sides
8 < 10
8 < 10 is true
This can be done easily in a few ways. One, you could do equivelent fractions as this. 16 percent is the same as 16 over 100, or, 16/100, 100 being the total with an = sign with X over 550, or, X/550. you can multiply 16 by 500 and divide by 100 to get $88. Or you could do it my way, (prefered way). take the $550, divide it by 100, then multiply by 16 and get $88. either way you do this, you take away the $88 from $550 and get the sale price of [Drumroll please...]
<em><u>462 Dollars!</u></em>
Full question:
Linear Functions: Taking a Taxi
You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk through the Bunker Hill Memorial, your family decides to take a taxi to a restaurant for dinner. After 1 mile, the meter on the taxi says $4.75. It will cost $8.25 to go 3 miles. The cost varies linearly with the distance that you traveled. If you have $11 in your pocket, will you be able to take the cab 5 miles?
Answer:
Cannot go 5 miles having just $11
Step-by-step explanation:
Since the cost varies linearly with the distance that you traveled, to model the linear function for this problem we know that
1 mile = $4.75
And so to go x miles, we require $4.75x
Equation can therefore be modelled thus :
y=4.5x
Where y = total cost of transport in dollars
x= cost in dollars per mile
To find out if we can go 5 miles just having $11, we plug in 5 miles for x into the equation to find total cost of transport going 5 miles
y=4.5*5
y= $22.5
Therefore we cannot go 5 miles just having $11
100 < 50(1.12)t
2 < (1.12)t
ln 2 < t ln (1.12)
0.6931 < t(0.1133)
6.117 < t
