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3 years ago

5. For each quantity, decide whether circumference or area would be needed to calculate it. Explain or show your reasoning.

Mathematics

1 answer:

kolbaska11 [484]3 years ago

8 0

Answer:

a. The distance around a circular track. CIRCUMFERENCE

b. The total number of equally-sized tiles on a circular floor. AREA

c. The amount of oil it takes to cover the bottom of a frying pan. AREA

d. The distance your car will go with one turn of the wheels. CIRCUMFERENCE

Step-by-step explanation:

CIRCUMFERENCE : The circumference of a circle is the total length of its boundary.

AREA : Area of a circle is the total region covered buy that circle.

a. The distance around a circular track.

Here, we are covering the distance ONLY around the track and NOT inside it,

Hence, The CIRCUMFERENCE is calculated.

b. The total number of equally-sized tiles on a circular floor.

Here, we are covering the region or the total space occupied by all the tiles on the floor.

Hence, The AREA is calculated.

c. The amount of oil it takes to cover the bottom of a frying pan.

Here, we are covering the region or the total space occupied by all the oil on the bottom of the frying pan.

Hence, The AREA is calculated.

d. The distance your car will go with one turn of the wheels.

Here, the distance covered by wheel in 1 round

= Total length of the boundary of wheel

= The circumference of the wheel

Hence, The CIRCUMFERENCE is calculated.

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Determine how long it will take for a principal amount of $13,000 to double its initial value when deposited into an account pay

bezimeni [28]

Compound interest can be defined as the interest on a deposited amount, an investment that is compounded based on its principal and interest rate.

It will take about 3.239 years for the principal amount of $13,000 to double its initial value.

From the above question, we can deduce that we are to find the time "t"

The formula to find the time "t" in compound interest is given as:

t = ln(A/P) / r

where:

P = Principal = $13,000

R = Interest rate = 21.4%

A = Accumulated or final amount

From the question, the Amount "A" is said to be the double of the principla.

Hence,

A = $13,000 x 2

= $26,000

Step 1: First, convert R as a percent to r as a decimal

r = R/100

r = 21.4/100

r = 0.214 per year.

Step 2: Solve the equation for t

t = ln(A/P) / r

t = ln(26,000.00/13,000.00) / 0.214

t = 3.239 years

Therefore, it will take about 3.239 years for the principal amount of $13,000 to double its initial value.

To learn more, visit the link below:

brainly.com/question/22471957

7 0

2 years ago

Suppose you're making a soup that uses 5 cups of chicken broth and 3⁄4 teaspoons of corn starch for 8 servings. You need to make

yanalaym [24]

Answer:

Option A = 7.5 cups

Step-by-step explanation:

Given : Suppose you're making a soup that uses 5 cups of chicken broth and $\frac{3}{4}$ teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need $1\frac{1}{8}$ teaspoons of corn starch.

To find : How much broth do you need?

Solution :

A soup that uses 5 cups of chicken broth and $\frac{3}{4}$ teaspoons of corn starch for 8 servings.

i.e. 5 cups + $\frac{3}{4}$ teaspoon = 8 servings ......(1)

You need to make 12 servings of the soup, so you'll need $1\frac{1}{8}=\frac{9}{8}$

i.e. x cups + $\frac{9}{8}$ teaspoon = 12 servings ........(2)

So, First we find the ratio

Ratio is $\frac{12}{8}=\frac{3}{2}$

So to equal the ratio multiply (1) by $\frac{3}{2}$

$5\times \frac{3}{2}$ cups + $\frac{3}{4}\times \frac{3}{2}$ teaspoon = $8\times \frac{3}{2}$ servings

$\frac{15}{2}$ cups + $\frac{9}{8}$ teaspoon = 12 servings

On comparing with (2),

The value of x is $\frac{15}{2}$ .

Therefore, The broth do we need is $\frac{15}{2}=7.5$ cups.

So, Option A is correct.

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3 years ago

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Likurg_2 [28]

Answer:

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Step-by-step explanation:

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7 0

3 years ago

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m_a_m_a [10]

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3 years ago

A jewelry store marks up the price of its jewelry up 50%. What will be the selling price of an item that the store purchased for

snow_tiger [21]

Answer: $142.5

Step-by-step explanation: If the price is being marked up by 50%, you take 50% or half of the original price of $95, which is 47.5, and add it to your original price.

95 + 47.5 = 142.5

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2 years ago