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spin [16.1K]
4 years ago
11

Carol buys a house for £234 900

Mathematics
1 answer:
Aneli [31]4 years ago
3 0

Answer:

23,490

Step-by-step explanation:

10% = 0.1

234900 x 0.1 = 23490

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Write the linearization of the function at the points indicated. (Enter your answer as an equation. Let x be the independent var
Natalija [7]

Answer:

\displaystyle y=5+\frac{x}{10}

\displaystyle y=10+\frac{(x-75)}{20}

Step-by-step explanation:

<u>Linearization</u>

It consists of finding an approximately linear function that behaves as close as possible to the original function near a specific point.

Let y=f(x) a real function and (a,f(a)) the point near which we want to find a linear approximation of f. If f'(x) exists in x=a, then the equation for the linearization of f is

y=f(x)=f(a)+f'(a)(x-a)

Let's find the linearization for the function

y=\sqrt{25+x}

at (0,5) and (75,10)

Computing f'(x)

\displaystyle f'(x)=\frac{1}{2\sqrt{25+x}}

At x=0:

\displaystyle f'(0)=\frac{1}{2\sqrt{25+0}}=\frac{1}{10}

We find f(0)

f(0)=\sqrt{25+0}=5

Thus the linearization is

\displaystyle y=f(0)+f'(0)(x-0)=5+\frac{1}{10}x

\displaystyle y=5+\frac{x}{10}

Now at x=75:

\displaystyle f'(75)=\frac{1}{2\sqrt{25+75}}=\frac{1}{20}

We find f(75)

f(75)=\sqrt{25+75}=10

Thus the linearization is

\displaystyle y=f(75)+f'(75)(x-75)=10+\frac{1}{20}(x-75)

\displaystyle y=10+\frac{(x-75)}{20}

5 0
3 years ago
Which expression is equivalent to 0.2n+2n+4
yuradex [85]
Not sure if there was supposed to be a list, but here is one expression that is equivalent. 2.2n+4. Since all I did was add like terms, I can come upon an equivalent expression.
4 0
3 years ago
Read 2 more answers
The independent variable of a data set is x, while the dependent variable is y which of these is a response variable?
vivado [14]

Answer:

Response variable is another term for dependent variable. So the response variable is y.

6 0
3 years ago
Ebony’s bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8.
Tema [17]

Answer: Answer:Step-by-step explanation:a) On day 4, her balance = $400on day 5, her balance = $0on day 6, her balance = $400on day 7, her balance = $0on day 8, her balance = $400From the above illustration, Ebony withdraws all the money and deposits the same amount, each every other days.c)  I do not think so, perhaps, she must have been doing that previously, between day 4 and day 8, but have changed her way of withdrawals and savings between day 8 and day 12.

Step-by-step explanation:

7 0
2 years ago
What is the biggest number that can go into 40 and 20
kenny6666 [7]
So we find what's called the GCF or greatest common factor
firest we find teh factors and group the like ones

40=2 times 2 times 2 times 5
20=2 times 2 times 5
we see a common set of numbers which is in both which is 2 times 2 times 5=20
biggest number that can go into both 40 and 20=20
6 0
4 years ago
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