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3 years ago

What lowest terms fraction is equal to 15%?

Mathematics

1 answer:

Leno4ka [110]3 years ago

6 0

Answer: 3/10

Step-by-step explanation: To write a percent as a fraction in lowest terms, remember that a percent is a ratio that compares a number to 100. In this case, 15% can be written as the ratio 15 to 100 or 15/100.

Notice however that 15/100 is not in lowest terms so we need to divide the numerator and the denominator by 5 which gives us 3/10.

Therefore, 15% can be written as the fraction 3/10.

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Which of the following functions represents an exponential decay with a 15% rate of change where A represents the initial value

melisa1 [442]

The function that represent this exponential decay is given as y = A(0.85)ˣ

<h3>What is an exponential function?</h3>

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given that A is the initial value, there is a decay of 15%, hence:

b = 100% - 15% = 0.85

The function that represent this exponential decay is given as y = A(0.85)ˣ

Find out more on exponential function at: brainly.com/question/12940982

3 0

1 year ago

Express the product in simplest form.

Dmitry [639]

The product in simplest form is (x - 4)

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

<em><u>Given expression is:</u></em>

$\frac{8}{2x+8} \times \frac{x^2-16}{4}$

We have to find the product in simplest form

In the given expression,

2x + 8 = 2(x+ 4)

We know that,

$a^2-b^2=(a+b)(a-b)$

Therefore,

$x^2-16 = x^2-4^2 =(x+4)(x-4)$

Substitute these in given expression

$\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4}$

Cancel the common factors,

$\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4} = x - 4$

Thus the product in simplest form is (x - 4)

8 0

2 years ago

Simplify the following problem.<br> (-8+61) +(6+61)

Travka [436]

Answer: -8+61 = 53 and 6+61 = 67

3 0

2 years ago

A store pays $24 for a jewelry box and marks the price up by 20%. What is the amount of

Ratling [72]

Answer:

$4.8

Step-by-step explanation:

$24×20/100=$4.8

7 0

2 years ago

The average summer temperature in Anchorage is 69°F. If the daily temperature is normally distributed with a standard deviation

mafiozo [28]

Answer:

81.85%

Step-by-step explanation:

Given :

The average summer temperature in Anchorage is 69°F.

The daily temperature is normally distributed with a standard deviation of 7°F .

To Find:What percentage of the time would the temperature be between 55°F and 76°F?

Solution:

Mean = $\mu = 69$

Standard deviation = $\sigma = 7$

Formula : $z=\frac{x-\mu}{\sigma}$

Now At x = 55

$z=\frac{55-69}{7}$

$z=-2$

At x = 76

$z=\frac{76-69}{7}$

$z=1$

Now to find P(55<z<76)

P(2<z<-1)=P(z<2)-P(z>-1)

Using z table :

P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185

Now percentage of the time would the temperature be between 55°F and 76°F = $0.8185 \times 100 = 81.85\%$

Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.

7 0

2 years ago