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gladu [14]
3 years ago
13

I can travel 250 miles in 90 minutes, how far can i get in 6 hours

Mathematics
1 answer:
german3 years ago
4 0

90 minutes = 1.5 hours.

Divide total miles driven by the time to find how many miles are driven in 1 hour:

250 miles / 1.5 hours = 166 2/3 miles per hour.


Multiply the miles driven in one hour by 6 hours:


166 2/3 x 6 = 1000 miles

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Anna wants to buy a car in two years and wants to have $10,000 for the purchase. How much will Anna need to deposit today in an
Brut [27]

Answer:

Anna will need to deposit \$9,050.25

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=2\ years\\A=\$10,000\\ r=0.05\\n=12  

substitute in the formula above  and solve for P

10,000=P(1+\frac{0.05}{12})^{12*2}  

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8 0
3 years ago
A box with a square base and open top must have a volume of 32,000 cm3. find the dimensions of the box that mini- mize the amoun
zmey [24]
Alrighty


squaer base so length=width, nice


v=lwh
but in this case, l=w, so replace l with w
V=w²h

and volume is 32000
32000=w²h


the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW

alrighty

we gots
SA=W²+4HW and
32000=W²H

we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute

SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W

take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?

0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W

so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H

the box is 20cm height and the width and length are 40cm
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3 years ago
What is the value of 1^2−2x−3y5for x = 2 and y = –4?
NikAS [45]
The answer is 9
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IMAX theaters have the world’s largest screens. There are numerous IMAX theaters around the world. The Henry Ford Museum in Dear
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The dimensions would be 5 ft by 7 ft.
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