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3 years ago

Jill bought a house for $250,000. The expected depreciation of a house is 18% a year. When will her

Mathematics

1 answer:

MrMuchimi3 years ago

7 0

Answer is 1 year 1 month and 5 days

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(x²+4x+4)/(x+2)<br>algebraic expressions class 8<br>no spamms

maks197457 [2]

Answer:

x+2

Step-by-step explanation:

$\frac{x ^{2} + 4x + 4 }{x + 2} \\ \frac{(x) ^{2} + 2 \times x \times 2 + (2) ^{2} }{x + 2} \\ \ \frac{(x + 2) ^{2} }{x + 2} \\ \frac{(x + 2)(x + 2)}{x + 2} \\ x + 2$

5 0

2 years ago

Solve for the area of the part shaded in purple

Vitek1552 [10]

Answer:

area of a trapezium

1/2 ( a+b)h

1/2 (15+9)15

1/2 *24*15

12*15

=180

6 0

3 years ago

Read 2 more answers

One of the roots of the equation x²-5x +q=0 is 2. Find the other root and the value of the coefficient q.

yuradex [85]

Answer:

Other root: $x=3$

$q=6$

Step-by-step explanation:

If $x=2$ , then $x-2=0$ .

Therefore:

$x^2-5x+q=0$

$2^2-5(2)+q=0$

$4-10+q=0$

$-6+q=0$

$q=6$

This means that the other root is $x=3$ since $(x-2)(x-3)=x^2-5x+6$

5 0

2 years ago

Question 2b only! Evaluate using the definition of the definite integral(that means using the limit of a Riemann sum

lara [203]

Answer:

Hello,

Step-by-step explanation:

We divide the interval [a b] in n equal parts.

$\Delta x=\dfrac{b-a}{n} \\\\x_i=a+\Delta x *i \ for\ i=1\ to\ n\\\\y_i=x_i^2=(a+\Delta x *i)^2=a^2+(\Delta x *i)^2+2*a*\Delta x *i\\\\\\Area\ of\ i^{th} \ rectangle=R(x_i)=\Delta x * y_i\\$

$\displaystyle \sum_{i=1}^{n} R(x_i)=\dfrac{b-a}{n}*\sum_{i=1}^{n}\ (a^2 +(\dfrac{b-a}{n})^2*i^2+2*a*\dfrac{b-a}{n}*i)\\$

$=(b-a)^2*a^2+(\dfrac{b-a}{n})^3*\dfrac{n(n+1)(2n+1)}{6} +2*a*(\dfrac{b-a}{n})^2*\dfrac{n (n+1)} {2} \\\\\displaystyle \int\limits^a_b {x^2} \, dx = \lim_{n \to \infty} \sum_{i=1}^{n} R(x_i)\\\\=(b-a)*a^2+\dfrac{(b-a)^3 }{3} +a(b-a)^2\\\\=a^2b-a^3+\dfrac{1}{3} (b^3-3ab^2+3a^2b-a^3)+a^3+ab^2-2a^2b\\\\=\dfrac{b^3}{3}-ab^2+ab^2+a^2b+a^2b-2a^2b-\dfrac{a^3}{3} \\\\\\\boxed{\int\limits^a_b {x^2} \, dx =\dfrac{b^3}{3} -\dfrac{a^3}{3}}\\$

4 0

2 years ago

Which of the following best describes a regular polygon when the measure of each exterior angle is 36? A. Decagon B. Octagon C.

emmasim [6.3K]

Sum of all exterior angle should be 360.
when the measure of each exterior angle is 36 then it has 10 sides and it is a
<span>Decagon </span>

4 0

3 years ago

Read 2 more answers