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2 years ago

Brian invests £990 into his bank account. He receives 2% per year simple interest. How much

1 answer:

4 0

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \£990\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=years\dotfill &4 \end{cases} \\\\\\ A=990[1+(0.02)(4)]\implies A=990(1.02)(4)\implies A=4039.2$

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How do you know that 50 is not a perfect square?

Alexus [3.1K]

We can always do a prime factoring of it, and check

50 = 2*5*5
2*5²

a perfect square, so-called, is the resulting number of a squared value, well 50 is not the result of anything squared, is the result of 3 factors, in this case 2,5 and 5.

a perfect square will be something like say 64, or 144, because

64 = 8*8
8²

144 = 12*12
12²

6 0

3 years ago

The graph below shows a quadratic function f(x) and an absolute value function g(x)

Sophie [7]

Answer:

The x-values that are approximate solution of the equation $f(x) = g(x)$ are $x_{1} \approx -3.5$ and $x_{2}\approx 5$ , respectively.

Step-by-step explanation:

From graph we infer that the x-values that represents a solution to the system of equations corresponds to those values of x in which both functions coincide. As we see, there are two x-values for $f(x) = g(x)$ , which are described below:

$x_{1} \approx -3.5$ and $x_{2}\approx 5$

The x-values that are approximate solution of the equation $f(x) = g(x)$ are $x_{1} \approx -3.5$ and $x_{2}\approx 5$ , respectively.

6 0

3 years ago

Find a function that models the area A of an equilateral triangle in terms of the length x of one of its sides.

creativ13 [48]

$A(x)=\frac{x^2\sqrt3}{4}$

3 0

3 years ago

Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$

4 0

3 years ago

Read 2 more answers

Rock can read 10 books in 30 minutes.how long does it take rock to read 15 books,if the speed is consistant.

vazorg [7]

10book=30mins
divide 10
1book=3mins

time=(time to read 1 book) times (number of books)
time to read 1 book=3 mins
15 books
15 books=15 times 3mins
15books=45mins

45 mins

7 0

3 years ago

Read 2 more answers