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Schach [20]
3 years ago
9

Jean saw a basic computer for $695.00 and a printer for $95.00. In order to buy the computer, Jean would work each week for four

months. He earned $157.00 in May, $210.00 in June, $377.00 in July and $145.00 in August. Has Jean earned enough money to buy the computer and printer? If so, how much will he have left over after the purchase?
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
5 0

Answer:

YES

Step-by-step explanation:

$157+$210+$377+$145=$889

$695+$95=$790

Leftover

$889-$790 =$99

he would have $99 leftover

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A soccer ball is kicked from 3 feet above the ground. the height,h, in feet of the ball after t seconds is given by the function
dexar [7]
Here's our equation.

h=-16t+64t+3

We want to find out when it returns to ground level (h = 0)

To find this out, we can plug in 0 and solve for t.

0 = -16t+64t+3 \\ 16t-64t-3=0 \\ use\ the\ quadratic\ formula\ \frac{-b\±\sqrt{b^2-4ac}}{2a}  \\ \frac{-(-64)\±\sqrt{(-64)^2-4(16)(-3)}}{2*16}  = \frac{64\±\sqrt{4096+192}}{32}

= \frac{64\±\sqrt{4288}}{32} = \frac{64\±8\sqrt{67}}{32} = \frac{8\±\sqrt{67}}{4} = \boxed{\frac{8+\sqrt{67}}{4}\ or\ 2-\frac{\sqrt{67}}{4}}

So the ball will return to the ground at the positive value of \boxed{\frac{8+\sqrt{67}}{4}} seconds.

What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!

\frac{1}2(\frac{8+\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(2+\frac{\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(4) = 2

h=-16t^2+64t+3 \\ h=-16(2)^2+64(2)+3 \\ \boxed{h=67}


8 0
3 years ago
Need help on this one please
SVETLANKA909090 [29]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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