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3 years ago

The following function represents the value of a motorcycle, in dollars, after x years: f(x) = 19,000(0.91)x

Mathematics

2 answers:

Semenov [28]3 years ago

7 0

Answer:

Option C.The decrease in the value of the motorcycle, which is 9%

Step-by-step explanation:

we have a exponential function of the form

$f(x)= ab^x$

where

a is the initial value

b represents growth or decay factor

If b >1 then it is an exponential growth

if 0<b<1 then it is an exponential decay

In this problem

a=$19,000

b=0.91 -----> it is exponential decay factor

Find the rate of decrease r

b=(1-r)

substitute

0.91=1-r

r=1-0.91=0.09

Convert to percentage

0.09*100=9%

therefore

0.91 represent the decrease in the value of the motorcycle, which is 9%

horsena [70]3 years ago

4 0

Answer:

the correct answer is C.

Step-by-step explanation:

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350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how

NARA [144]

Answer:

The number of teenagers in the stratified sample of equal proportion is 30 teenagers

Step-by-step explanation:

Whereby tickets are sold to only adults male and female and teenagers, boys and girls, we have the following groups

Group 1: Female adult

Group 2: Male adult

Group 3: Teenage boys

Group 4: Teenage girls

In stratified sampling, the types of people that visit the zoo (which is the target population) are identified and the appropriate proportion of each of the identified types is determined such that the sample is representative of the population

Where equal number of each group are observed to have visited the zoo, then, the appropriate sample size of the teenager is found as follows;

Number of groups identified = 4

Sample size = 30

Appropriate proportion of each group = 1/4

Number of teenage boys in the sample = 1/4×30 = 15

Number of teenage girls in the sample = 1/4×30 = 15

Total number of teenagers in the sample = 15 + 15 = 30 teenagers.

5 0

3 years ago

Read 2 more answers

Explain how to evaluate simplify and convert to radical form (x^3/8)^3/4

Vaselesa [24]

Answer:

$(x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}$

Step-by-step explanation:

Given

$(x^\frac{3}{8})^\frac{3}{4}$

Required

Convert to radical form

$(x^\frac{3}{8})^\frac{3}{4}$

Evaluate the exponents

$(x^\frac{3}{8})^\frac{3}{4} = x^\frac{3*3}{8*4}$

$(x^\frac{3}{8})^\frac{3}{4} = x^\frac{9}{32}$

Split the exponent

$(x^\frac{3}{8})^\frac{3}{4} = (x^9)^\frac{1}{32}$

Apply the following law of indices

$(x^a)^\frac{1}{b} = \sqrt[b]{x^a}$

So, we have:

$(x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}$

3 0

3 years ago

Write an equation of the line that passes through (2,5) and is parallel to the line 2y = 3x + 10.

Advocard [28]

Answer:

y = 3/2x - 8 hope I helped

Step-by-step explanation:

To find the equation of a line, we need a point and a slope. We're given a point, and we can easily get the slope. First let's solve 2y = 3x + 10 for y so we can get the slope (recall that y = mx + b is the slope-intercept form, and m is your slope).

2y = 3x + 10 --> almost there already, just divide everything by 2 to get y by itself.

y = 3/2x + 5 --> now you have it in the y=mx + b form, so your slope is 3/2

They asked for the parallel line, remember parallel lines have the same slope, therefore you use the same slope.

Now we know that our slope is m = 3/2 and our point is (2, -5)

You can always find the equation of a line using the Point-Slope Formula:

y - y1 = m(x - x1) --> our x1 is 2 and our y1 is -5, and slope is 3/2

y - (-5) = 3/2(x - 2) --> Be careful when you have minus a negative number, like we do here. It becomes:

y + 5 = 3/2(x - 2) --> now distribute the 3/2

y + 5 = 3/2x - 6/2

y + 5 = 3/2x - 3 --> now we can subtract 5 from both sides to get it into slope intercept form.

y = 3/2x - 8 --> This is the equation of a line that is parallel to 2y=3x+10 & passes through (2, -5)

7 0