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IgorLugansk [536]
3 years ago
11

Lerola and her younger sister Kiara are jogging around a circular track. Lerola jogs far enough from the center of the circle th

at her laps are half a mile long. Kiara runs around a circle whose circumference is as long as Lerola's. How far from the center of the circle is Kiara running, in feet? ​Use 3.14 for pi. 3 2There are 5280 feet in a mile.
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
4 0

Circumference of circular track, C = 0.5 miles = 0.5×5280 feet = 2640 feet.

We know, circumference in circle is given by :

C = 2\pi r

( Here, r is radius i.e distance of centre from track )

Putting values in above equation :

2 × 3.14 × r = 2640

6.28 × r = 2640

r = 420.38 feet

Therefore, distance between centre and track is 420.38 feet .

Hence, this is the required solution.

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What are Conic Sections and how are they formed?
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The scale is 2cm = 25m. Find the length each measurement ould be on a scale drawing:
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21. Paul has $900 to invest in a savings account that has an annual interest rate of 1.8%, and a money market account that pays
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The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.

  • The interest earned after one year is <u>0.018·x</u>

Reasons:

The amount Paul has to invest = $900

The annual interest rate from the savings account = 1.8%

The amount the money market account pays per year = 4.2 %

Required: The polynomial for the interest Paul earned by investing <em>x</em> dollars in the savings account.

Solution:

The interest earned is found using the compound interest formula as follows;

\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}

Where;

A = The amount in the account after one year

P = The original amount invested = x

r = The interest rate offered on the investment = 1.8% = 0.018

t = The time of the investment = 1 year

n = The number of times of application of the interest per period = Once per year

Which gives;

Interest = Amount earned = A - P

Therefore;

\displaystyle Interest, \ I  = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}

Plugging in the values gives;

\displaystyle I  = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x

The polynomial equation is therefore;

Interest, I = 0.018·x

Using the simple interest formula, we have;

\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}

Which gives;

\displaystyle Interest = \frac{x \times 1.8 \times 1}{100}  = 0.018 \cdot x

Interest earned by investing in the savings account for one year, I = 0.018·x

  • The polynomial representing the interest earned is <u><em>I</em></u><u> = 0.018·x</u>

Learn more here:

brainly.com/question/11314161

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