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Leno4ka [110]
3 years ago
8

Ubehebe Crater in Death Valley has a diameter of a little more

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0
First, we are going to use the formula of the circumference of a circle: C=2 \pi r
where 
C is the circumference of the circle.
r is the radius of the circle.

We know for our problem that the diameter of Ubehebe Crater is 1 mile. Since the radius of a circle is half its diameter, the radius of our crater will be: r= \frac{1}{2} =0.5. Lets replace that value in our formula:
C=2 \pi r
C=2*3.14*0.5
C=3.14 miles

Next, we are going to use the distance speed time formula: t= \frac{d}{s}
where
t is time
d is distance
s is speed

We know for our problem that Latisha walks around its rim at a rate of 2 miles per hour, so her speed is 2 mph; therefore, s=2. We also know for our previous calculation that the circumference of the crater is 3.14 miles, so d=3.14. Lets replace those values in our formula to find t:
t= \frac{d}{s}
t= \frac{3.14}{2}
t=1.6 hours

We can conclude that it will take Latisha 1.6 hours <span>to walk all the way around the crater.</span>
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Given:

Total amount for investment = $32000

Rate of interest for Stock A = 4%

Rate of interest for Stock B = 7%

Jim is hoping to earn $2,000 in interest.

To find:

The amount of investments in Stock A and Stock B.

Step-by-step explanation:

Let amount of investments in Stock A = $x

Amount of investments in Stock B = $y

Total amount for investment = $32000

x+y=32000        ...(i)

Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.

0.04x+0.07y=2000           ...(ii)

From (i) and (ii), we get

0.04x+0.07(32000-x)=2000

0.04x+2240-0.07x=2000

-0.03x=2000-2240

-0.03x=-240

Divide both sides by -0.03.

x=\dfrac{-240}{-0.03}

x=8000

Put x=8000 in (i).

8000+y=32000  

y=32000-8000  

y=24000  

Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.

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3 years ago
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Answer:

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