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fredd [130]
2 years ago
12

Mr. and mrs. lorenzo want to buy a home valued at $213,500. if they have 18% of this amount saved for a down payment, how much h

ave they saved?
Mathematics
1 answer:
valentinak56 [21]1 year ago
3 0

Mr. and Mrs. Lorenzo have saved $38,430 for the home they want to buy

Information about the problem:

  • Initial cost = $213,500
  • Savings = 18%.
  • Final savings =?

To solve this exercise we have to apply the percentage formula:

Final savings = initial cost * savings / 100

Final savings = $213,500 * 18 / 100

Final savings = $213,500 * 0.18

Final savings = $38,430

<h3>What is a percentage?</h3>

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

Learn more about percentage at: brainly.com/question/24877689

#SPJ4

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What are a domain and range?
Nikolay [14]

Answer:

The domain and range of function is the set of all possible inputs and outputs of a function respectively.

The domain and range of a function y = f (x) is given as domain= {x ,x∈R }, range= {f (x), x∈Domain}.

The domain and range of any function can be found algebraically or graphically.

5 0
2 years ago
Verify sin^4 x - sin^2 x = cos^4 x - cos^2 x is an identity
Citrus2011 [14]

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2

sin(x)^2 = 1 - cos(x)^2:

sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2

-(1 - cos(x)^2) = cos(x)^2 - 1:

cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2

sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:

-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2

(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:

-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2

-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:

cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2

The left hand side and right hand side are identical:

Answer:  (identity has been verified)

3 0
3 years ago
Given f(x)=px+q and f^3(x)=8x-7<br>find value of p and q<br><br>​
Zielflug [23.3K]

Answer:answer is 17

Step-by-step explanation:

8(3) - 7

24-7

17

6 0
2 years ago
2.5kg cost £1.40<br> what is the cost of 4.25kg
madreJ [45]

Answer:

it is 5.7

Step-by-step explanation:

4.25 × 1.40

5.95 - 0.25

5.7 or 5.70

8 0
3 years ago
In a 40-day period, at least one bear was observed by a camper in a designated camp site on 28 separate days. According to this
olasank [31]
<span>At least one bear was sighted on 28 separate days in 40 day period total = 28/40
We're looking for the daily frequency of bear sightings, that's in the whole 40 day period. 

Let's say 40 days period = 100%.
Then what's 28 days?
</span>

So the solution we're looking for would be (<span><span>28 days∗100) / </span>40 days = 70%</span>

The final answer is B. 70%.

<span>
</span>

5 0
2 years ago
Read 2 more answers
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