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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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which equation illustrates how the expression 1.15^t can be rewritten to approximate the equivalent monthly interest rate if the

denis23 [38]

sorry if this answer wrong

8 0

2 years ago

A gas engine is 6% efficient. What portion of a 12 gallon tank of gas is wasted?

Softa [21]

Answer:19.74 gallons of the gas in the tank is wasted.

Step-by-step explanation:

Since the efficiency of the gas engine is 6%, wastage is #= 100 - 6 = 94%.

Therefore wastage = 94% x 21=94 x21/100=19.74 gallons

5 0

2 years ago

Read 2 more answers

Adrian ran from his house to the park at a speed of 5 meters per second. He ran back from the park to his house at a speed of 6

denpristay [2]

Answer:time taken to run from his house to the park is 12 minutes

Step-by-step explanation:

Let x represent the distance between his house and the park.

The speed at which Adrian ran from his house to the park is 5 meters per second.

Distance = speed × time

Time = distance/speed

Therefore, time taken to run from his house to the park would be

Time = x/5

The speed at which he ran back from the park to his house is 6 meters per second.

Time taken to run back from the park to his house would be

Time = x/6

The total time taken to run the whole journey was 22 minutes. Converting to seconds, it becomes 22× 60 = 1320 seconds. Therefore,

x/5 + x/6 = 1320

Multiplying through by 30, it becomes

6x + 5x = 39600

11x = 39600

x = 39600/11 = 3600 meters

Therefore, time taken to run from his house to the park would be

x/5 = 3600/5 = 720 seconds

Converting to minutes, it becomes

720/60 = 12 minutes

7 0

2 years ago

nikdorinn [45]

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\$

$\bf \cfrac{\triangle ABC}{\triangle DE F}\qquad \cfrac{longest\ side}{longest\ side}\quad \cfrac{1}{10}=\cfrac{40}{s}\implies s=\cfrac{10\cdot 40}{1}\\\\
-------------------------------\\\\
\cfrac{\triangle ABC}{\triangle DE F}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}\implies \cfrac{1}{10}=\cfrac{\sqrt{A_1}}{\sqrt{A_2}}\implies \cfrac{1}{10}=\sqrt{\cfrac{A_1}{A_2}}
\\\\\\
\left( \cfrac{1}{10} \right)^2=\cfrac{A_1}{A_2}\cfrac{1^2}{10^2}=\cfrac{A_1}{A_2}\implies \cfrac{1}{100}=\cfrac{A_1}{A_2}$

8 0

2 years ago

Read 2 more answers

What is the best approximation of the projection of (2,6) onto (5,-1)

Darya [45]

Answer:

0.15(5,-1)

Step-by-step explanation:

$\frac{v_{1} * v_{2} }{|v_{2}|^{2} }*v_{2}$ ⇒ $\frac{(2)(5)+(6)(-1)}{\sqrt{5^2+(-1)^2} }(5,-1)$ ⇒ $\frac{4}{26} (5,-1)$ ⇒ $0.15(5,-1)$