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777dan777 [17]
3 years ago
8

The hare challenged the tortoise to a race from the water fountain to the park bench. In order to ensure a fair race, the tortoi

se will start 100 feet in front of the hare. The tortoise is walking at a rate of 2 feet per minute. The hare is walking at a rate of 6 feet per minute.
A. How long will it take for the hare to catch up to the tortoise?
B. How long did the hare wait before walking (in order for the tortoise to walk 100 feet)?
C. The distance from the water fountain to the park bench is 130 feet. Who won the race?
Mathematics
1 answer:
BabaBlast [244]3 years ago
5 0
A. I believe the hare never catches up to the tortoise
B. The hare waited 50 minutes before walking
C. The tortoise won the race
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You deposit 5000 in an account that earns 5% simple interest.How long will it be befor the total amount is 6000
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Answer:

t=4\ years

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

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t is Number of Time Periods

in this problem we have

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substitute in the formula above

6,000=5,000(1+0.05t)

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1.2=(1+0.05t)

0.05t=1.2-1

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8 0
4 years ago
Sondra wants to put a fence in a triangular area of her backyard as shown in the illustration. The fence will enclose a right tr
Shalnov [3]

17 yards. The fence that enclose Sondra's backyard is a right triangle whose sides measuring 8 yards, 15 yards and 17 yards  respectively.

The key to solve this problem is using the Pythagorean Theorem that dictates; In every right triangle the square of the hypotenuse is equal to the sum of the squares of the legs and the equation hypotenuse²=leg1²+leg2².

For this problem we know the measuring of two side, which mean that we can apply Pythagorean Theorem equation as follow:

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Applying the Pythagorean Theorem:

c^{2} =a^{2}+b^{2}  \\c=\sqrt{a^{2}+b^{2}}

Substituting the values of the sides a and b:

c=\sqrt{(8yards)^{2}+(15yards)^{2}}\\c=\sqrt{64yards^{2}+225yards^{2}}\\c=\sqrt{289yards^{2}}\\c=17yards

3 0
3 years ago
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