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lubasha [3.4K]
3 years ago
14

19. Represent Real-World Problems The

Mathematics
2 answers:
vredina [299]3 years ago
7 0

Answer:

2375 ft.

Step-by-step explanation:

Diameter = 2r

63 ft = 2r

31.5 ft = r

Distance traveled in one revolution is circumference, which equals 2πr.

12 revolutions * 2πr = 24πr = 24*31.5*π = 2375 ft.

enyata [817]3 years ago
6 0

Answer:

2373.84 feet.

Step-by-step explanation:

Diameter of the Ferris wheel = 63 feet

Radius of the Ferris wheel = r =  63/2 feet

Perimeter of the Ferris wheel = \[2*\Pi *r\]

\[=2*\Pi *\frac{63}{2}\]

\[=197.82\]

During 1 revolution, the rider travels 197.82 feet

When the Ferris wheel makes 12 revolutions, the rider travels [tex}\[197.82*12\][/tex] feet, that is 2373.84 feet.

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phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year
Lelechka [254]

<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}

x = 32000

We can calculate amount for 7% interest rate by,

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