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3 years ago

Question 10

Mathematics

1 answer:

Anna11 [10]3 years ago

4 0

Answer:

6,000 dollars

Step-by-step explanation:

We first need to find out how much it would cost Danielle for a month if she chose the second option

200 + 40 = 240

240 x 30 = 7,200

Now that we know how much Danielle would pay if she chose the second option, now we need to find out how much she <em>saved</em>.

7,200 - 1,200 = 6,000

So Danielle saved 6,000 dollars by choosing the first option instead of the second one.

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Two figures are shown. EFJL is dialation of ABIK AB has a length of 12 and EF has a length of 3

Dimas [21]

The scale factor of dilation from AB to EF is 0.25

<h3>How to determine the scale factor of dilation?</h3>

The given parameters are:

EFJL is dilation of ABIK
AB has a length of 12
EF has a length of 3

From the above parameters, side lengths AB and EF are corresponding sides

This means that:

The scale factor of dilation (k) is

k = AB/EF

So, we have

k = 3/12

Evaluate

k = 0.25

Hence, the scale factor of dilation from AB to EF is 0.25

Read more about scale factors at:

brainly.com/question/15891755

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2 years ago

At a fair , hambugurs sell $3 each hot dogs sell for 1.50 each the equation 3x+1.5y=30 describes the number of hamburgers and ho

EleoNora [17]

I can't graph the function but I can tell you that the equation is y= 20 + 2x

8 0

3 years ago

A house was valued at $120,000 in the year 1992. The value appreciated to $160,000 by the year 2007.

pochemuha

Answer:

A) 0.0194

B) 1.94%

C) $ 170,000

Step-by-step explanation:

Value of house in 1992 = P = $ 120,000

Value of house in 2007 = S = $ 160,000

Time difference from 1992 to 2007 = 15 years

Part A)

The formula of compound interest is:

$S=P(1+r)^{t}$

P is the original amount i.e. $ 120,000

t is the time in years which is 15 years

S is the amount after t years which is $ 160,000

r is the annual growth rate

Using the values, we get:

$160000=120000(1+r)^{15}\\\\\frac{160000}{120000}=(1+r)^{15}\\\\ \frac{4}{3}=(1+r)^{15}\\\\(\frac{4}{3} )^{\frac{1}{15}}=1+r\\\\ r=(\frac{4}{3} )^{\frac{1}{15}}-1\\\\ r=0.0194$

Thus, the annual growth rate is 0.0194

Part B)

In order to convert a decimal to percentage, simply multiply the decimal by 100.

So, 0.0194 in percentage would be 1.94%

Part C)

We have to find the value of house in 2010 i.e. after 18 years. So t =18

Using the values in the formula, we get:

$S=120000(1+0.0194)^{18}\\\\ S=169584$

Rounded to nearest thousand dollars, the value of the house would be $ 170,000

7 0

3 years ago

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Marta_Voda [28]

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3 years ago

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MrRa [10]

Answer:

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3 years ago