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3 years ago

The owners were happy that the house had appreciated in value at a rate of 5% each year

Mathematics

1 answer:

slava [35]3 years ago

8 0

Answer:

Exponential Growth

Step-by-step explanation:

The growth value is a positive number. So that mean's it's growing by 5%.

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Janell has a 10 inch by 12 inch photograph. She wants to scan the photograph

Dmitry_Shevchenko [17]

Complete Question:

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

Correct Answer:

A) $(10-x)(12-x)=15$

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

Step-by-step explanation:

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

$length=10-x\\breadth=12-x$

According to question , Area of new image is :

⇒ $Area = \frac{1}{8}Length(breadth)$

⇒ $Area = \frac{1}{8}(10)(12)$

⇒ $Area = 15$

So the equation will be :

⇒ $(10-x)(12-x)=15$

b. Find the dimensions of the reduced image

Let's solve : $(10-x)(12-x)=15$

⇒ $120-10x-12x+x^2=15$

⇒ $120-22x+x^2=15$

⇒ $x^2-22x+105=0$

By Quadratic formula :

⇒ $x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $x = \frac{22 \pm8 }{2}$

⇒ $x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}$

⇒ $x = 15 , x =7$

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ $x =7$

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

7 0

3 years ago

Kelly receives a 25% discount on the purchase of a $240 bicycle what was the amount of the discount Kelly received

Drupady [299]

$60. You change 25% to the decimal of .25 and multiply it by $240 to see what 25% of $240 is.

5 0

3 years ago

Read 2 more answers

The essential difference between an experiment and an observational study is that:

Mars2501 [29]

Answer: e. An experiment imposes treatments on the subjects, but an observational study does not.

Step-by-step explanation:

Experiment is scientific procedure that is undertaken by an individual or a researcher in order for the person to either make a discovery, or test a hypothesis.

Observational studies are the studies whereby the researchers just observe the impact of a treatment or risk factor e.g. cohort studies. In observational study, the researchers just collect data based on what they've either heard or seen and they've no control over such variables collected whole for an experiment, treatments are applied to a group and the effects are recorded.

8 0

4 years ago

Adding fractions <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%20%2B%20%20%5Cfrac%7B2%7D%7B3%7D%20" id

QveST [7]

Here we have to find lcm of 2 and 3 first

lcm of 2 and 3 is 2*3=6

now we convert both denominator into lcm

$\frac{1}{2} +\frac{2}{3}$