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4vir4ik [10]
2 years ago
14

You take out an installment loan of $2700.00 for 30 months at 8 %. The title of a monthly payment table is “Monthly Payment on a

Simple Interest Installment Loan of $100” If you use 30 months and 8% interest, you get the figure $3.69 in this table. Calculate the monthly payment.
Mathematics
1 answer:
erik [133]2 years ago
3 0
From what you wrote, according to your table: 

<span>For every $100 you borrow at 8%, you pay $3.69 each month for 30 months. </span>

<span>So, you pay back a total of 3.69 x 30 = $110.70 </span>

<span>But, if you borrow 2700, using your table you find that: </span>

<span>2700 / 100 = 27 </span>

<span>27 * 3.69 = 99.63 </span>

<span>So you pay back 99.63 x 30 = $ 2988.90</span>
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باستعمال log4 2=0.5 فإن قيمة log4 32 هي
11Alexandr11 [23.1K]

Answer:

\mathbf{\log_432}=2.5

Step-by-step explanation:

\log_42=0.5

حن بحاجة إلى إيجاد\log_432

دع\log_432=x

\log_42\times 2\times 2\times 2\times 2=x

\Rightarrow x=\log_42^5

\Rightarrow x=5\log_42   [\because \log_ab^x=x\log_ab]

\Rightarrow x=5\times0.5

\Rightarrow x=2.5

\mathbf{\therefore\log_432=2.5}

7 0
2 years ago
In the derivation of the quadratic formula by completing the square, the equation (x+b over 2a)^2=-4ac+b^2 over 4a^2 is created
vredina [299]

Answer:

The result of applying the square root property of equality to this equation is x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}.

Step-by-step explanation:

Consider the provided equation.

\left(x+\dfrac{b}{2a}\right)^2=\dfrac{-4ac+b^2}{4a^2}

As the above equation is formed by perfect square trinomial so simply applying the square root property as shown:

\sqrt{(x+\dfrac{b}{2a})^2}=\pm \dfrac{\sqrt{-4ac+b^2}}{\sqrt{4a^2}}\\x+\dfrac{b}{2a}=\pm \dfrac{\sqrt{b^2-4ac}}{2a}

Isolate the variable x.

x=-\dfrac{b}{2a}\pm \dfrac{\sqrt{b^2-4ac}}{2a}\\x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Hence, the result of applying the square root property of equality to this equation is x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}.

4 0
2 years ago
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Elias and Niko are polishing the silver at the heritage museum.Elias could polish all the silver himself in 40 minutes.That task
irina1246 [14]

Let x be the time it takes Elias and Niko to polish the silver working together. If Elias works alone, he could polish all the silver himself in 40 minutes. Then, in 1 minute, he will make \frac{1}{40} of the total work. If the same analysis is applied Niko, in 1 minute, will make \frac{1}{50} of the total work.


Working together Elias and Niko will need x minutes to make all the work. Then, in 1 minute, they will make \frac{1}{x} of the total work.  So, the fraction of the total work they make in 1 minute is given by this equation:

\frac{1}{x}=\frac{1}{40}+\frac{1}{50} \\ \\ \frac{1}{x}=\frac{50+40}{2000} \\ \\ x=\frac{2000}{90} \\ \\ \boxed{x=22.22 minutes}

6 0
2 years ago
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The table below shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the sam
mash [69]

Answer:

<u>j = 2.5s</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

                Lemon juice (mL)      Sugar (gr)

Batch A        500                             200

Batch B         750                             300

Batch C       1,500                             600

2. Write an equation to describe the relationship between j, the amount of lemon juice in mL, and s, the amount of sugar in g.

Ratio = Amount of lemon juice/Amount of sugar

Ratio = 500/200 = 750/300 = 1,500/600

Ratio = 2.5

Now, we can write the equation, this way:

<u>j = 2.5s</u>

8 0
2 years ago
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X - 4 = 10 A) x = 3 B) x = 6 C) x = 12 D) x = 14
hjlf

x=14


Add 4 to both sides to isolate x

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2 years ago
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