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Black_prince [1.1K]
2 years ago
5

Write the equivalent fraction, the reduced fraction, and the decimal equivalent for 45%. Jenny solved this problem and her work

is shown below. What mistake did she make? 45% = StartFraction 45 Over 100 EndFraction = StartFraction 9 Over 20 EndFraction = 4.5
Mathematics
2 answers:
svp [43]2 years ago
7 0

Answer:

Jenny did not make any mistake.

Step-by-step explanation:

From the information given:

We are asked to do three things.

To find the equivalent fraction of 45%, The reduced fraction of 45%, The decimal fraction of 45%

The equivalent fraction of 45% = \mathbf{\dfrac{45}{100}}

The reduced fraction means to divide \mathbf{\dfrac{45}{100}} to its lowest value.

i.e. dividing both the numerator and denominator by 5, we have:

\mathbf{\dfrac{9}{20}}

The decimal fraction of 45% = 0.45

juin [17]2 years ago
5 0

Sample Response: The decimal equivalent is not correct. The decimal point is in the wrong position. The decimal point should be to the left of the 4, so the correct answer is 0.45.

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Answer:

2,973

Step-by-step explanation:

The black bear population B(t), in the park is modeled by the following function:

B(t) = 2500 \cdot 2^{0.01t}

Where t is the time(in years) elapsed since the beginning of the study.

We want to determine the black bear population in 25 years time, t=25.

B(25) = 2500 \cdot 2^{0.01*25}\\=2973.02\\\approx 2973

There will be 2,973 black bears in 25 years time.

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An escalator in the subway station has a vertical rise of 195ft 9.5in, and rises at an angle of 10.4 degrees. How long is the es
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5. You deposit $300 in an account Urat pays 1.48% annual interest. What is the balance after 1 year if the
kirill [66]

Answer:

The correct option is (A) $304.47.

Step-by-step explanation:

The formula to compute the future value (<em>FV</em>) of an amount (A), compounded daily at an interest rate of <em>r</em>%, for a period of <em>n</em> years is:

FV=A\times [1+\frac{r\%}{365}]^{n\times 365}

The information provided is:

A = $300

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n = 1 year

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FV=A\times [1+\frac{r\%}{365}]^{n\times 365}

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Thus, the balance after 1 year is $304.47.

The correct option is (A).

8 0
1 year ago
What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)? k = – k equals negative StartFraction 8 O
Reil [10]

The value of constant of variation "k" is k = \frac{8}{5} \text{ or } 1.6

<em><u>Solution:</u></em>

Given that the direct variation is:

y = kx ----- eqn 1

Where "k" is the constant of variation

Given that the point is (5, 8)

<em><u>To find the value of "k" , substitute (x, y) = (5, 8) in eqn 1</u></em>

8 = k \times 5\\\\k = \frac{8}{5}\\\\k = 1.6

Thus the value of constant of variation "k" is k = \frac{8}{5} \text{ or } 1.6

3 0
2 years ago
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<h2>Answer:</h2>

The graph is shown in the Figure below

<h2>Step-by-step explanation:</h2>

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1 year ago
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