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2 years ago

Explain how a personal budget relates to and takes into account your personal financial goals.

Mathematics

2 answers:

nexus9112 [7]2 years ago

6 0

what? what subject is it

Masteriza [31]2 years ago

3 0

Personal finance refers to the act of applying the principles of finance to the budgetary decisions of an individual or a family unit. It deals with the means by which individuals or family units acquire, budget, save, and spend money over time, taking into cognizance various financial risks and future life events. Personal finance might include such components as checking and savings.

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Using the U- Substitution u=sqrt(2x), integral form 2-8 dx/ sqrt(2x) + 1 is equivalent to ...

AleksAgata [21]

We will use u-substitute: $u= \sqrt{2x} , \frac{du}{dx}= \frac{1}{ \sqrt{2x} }= \frac{1}{u}$ Then for substitution:dx=u du. and integral becomes: $\int { \frac{u}{u+1} } \, du = \int { \frac{u+1-1}{u+1} } \, du= \int{1} \, du- \int { \frac{1}{u-1} } \, dx$ =u-ln(u+1)= $\sqrt{2x}-ln( \sqrt{2x}+1)$ . Now we will change the values of limits: $\sqrt{16}-ln( \sqrt{16}+1)-( \sqrt{4}-ln( \sqrt{4}+1))$ =4-ln(5)-2+ln(3)=2+ln(0,6)=2-0.51=1.49

8 0

2 years ago

Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music he is supposed to be wo

Katena32 [7]

Answer:

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

Step-by-step explanation:

Let

t ------> is the number of minutes he spends on each scale

Remember that the phrase "at least" is equal to "greater than or equal"

The inequality that represent this scenario is

$70-5t \geq 55$

solve for t

$-5t \geq 55-70$

$-5t \geq -15$

Multiply by -1 both sides

$5t \leq 15$

Divide by 5 both sides

$t \leq 3$

Sven is incorrect

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

5 0

2 years ago

Graph a line with a slope of -2/5 that contains the point (-3,5)

kotykmax [81]

$y=-\frac{2}{5}x+\frac{19}{5}$

Further explanation:

We have to find the equation of the line first to graph the line.

The general form of slope-intercept form of equation of line is:

$y=mx+b$

Given

$m=-\frac{2}{5}$

Putting the value of slope in the equation

$y=-\frac{2}{5}x+b$

To find the value of b, putting the point (-3,5) in equation

$5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}$

Putting the values of b and m

$y=-\frac{2}{5}x+\frac{19}{5}$

The graph is made by using online graphing tool Desmos.

Keywords: Equation of line, graph of line

Learn more about graphs at:

#LearnwithBrainly

4 0

2 years ago

A sumo wrestling ring is circular and has a circumference of 4.6\pi \text{ meters}4.6π meters4, point, 6, pi, start text, space,

frez [133]

Answer:

The area of the sumo wrestling ring is $5.29 \pi$

Step-by-step explanation:

The circumference of the circular sumo wrestling ring is $4.6\pi$ , that means its radius $r$ is:

$2\pi r=4.6\pi$

$r=\frac{4.6}{2} =\boxed{2.3\:meters.}$

Now once we have the radius $r$ of the sumo wrestling ring we can find its area $A$ by the following formula:

$A=\pi r^2$

Putting in the value of $r=2.3\:meters$ we get:

$A=\pi (2.3m)^2=\boxed{5.29\pi\:\:m^2}$

Therefore the area of the sumo wrestling ring is ${5.29\pi\:\:m^2$

3 0

2 years ago

Read 2 more answers

∆ABC transforms to produce ∆A'B'C'. Which transformation did NOT take place?

never [62]

Answer: The answer is (D) Reflection across the line y = -x.

Step-by-step explanation: In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.

(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.

(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.

(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.

(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.

Thus, the correct option is (D).

6 0

2 years ago

Read 2 more answers