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alexandr1967 [171]
2 years ago
13

In 6 years, a bond that paid 5.5% earned $594 interest. What was the principal of the bond?

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
5 0

Answer:

Principal = $1800

Step-by-step explanation:

594 =  \frac{p \times 5.5 \times 6}{100}

\frac{594 \times 100}{5.5 \times 6}

59400/33 = p

1800 = p

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Gables property Corp is leasing office buildings with an area of 49x^2 + 70x +25
Hoochie [10]

Answer:

Given: Gables property Corp is leasing office buildings with an area of 49x^2 + 70x+25

⇒ Area = 49x^2 + 70x+25

we can write this as:

Area = (7x)^2+2\cdot (7x) \cdot (5) + (5)^2            .....[1]

Use the  identity formula:

(a+b)^2 = a^2+2ab +b^2

then, by using this formula in [1] we have;

Area = (7x+5)^2

or

Area = (7x+5)(7x+5) square units

Area of building = l \times w where l is the length and w is the width respectively;

⇒ l = w = 7x+5 units

Therefore, the possible length and width of the building is;

l = 7x+5 units

w = 7x+5 units

As we know that the Area of a square is equal to side times side . Since each side of a square is the same, it can simply be the length of one side squared.

Therefore, the possible shape of the building is Square.



7 0
3 years ago
What is the arc length if Θ = 2 pi over 7 and the radius is 3 cm? A. 7 pi over 12
hodyreva [135]

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

\theta=\frac{2\pi}{7} \\\\r=3\ cm

An arc is a part of total circumference of circle and length of that arc is the measurement of linear distance.

Since we know the formula for "Length of an arc " , we get

L=r\times \theta\\\\L=\frac{2\pi}{7}\times 3\\\\L=\frac{6\pi}{7}

Hence, Option 'C' is correct.


6 0
3 years ago
Read 2 more answers
PLSS HELPP WHAT THE ANSWERRR!!:)
Pani-rosa [81]

Answer:

b

Step-by-step explanation:

so you just oush itjsndnsjsj

5 0
2 years ago
Read 2 more answers
Help!!! Now!!! Limited time!!
hammer [34]

Answer: 3

Step-by-step explanation: y=-2, also y=-2x+4. Therefore, we got a equation: -2=-2x+4. You then minus 4 from both sides of the equation and you will get -6=-2x. You then solve for x by dividing -6 by -2, you get x=3

6 0
3 years ago
Find the slope of every line that is parallel to the line on the graph.​
melamori03 [73]

Answer:

-1/5

Step-by-step explanation:

What are parallel lines?

Lines that are parallel never touch. They can extend infinitely and they will still never touch. In order for this to happen the slope of the two lines must be the same. So if we want to find the slope of every line that is parallel to the line on the graph, we simply find the slope of the line of the graph.

Finding the slope

We can find the slope using the following formula:

Slope=\frac{y_2-y_1}{x_2-x_1}

Where the x and y values are derived from any given points on the line (x1,y1) and (x2,y2)

Here the given points are (-5,-1) and (0,-2)

So we have (x1,y1) = (-5,-1) meaning x1 = -5 and y1 = -1

We also have (x2,y2) = (0,-2) meaning x2 = 0 and y2 = -2

Now we plug these values into the formula

Recall formula : Slope=\frac{y_2-y_1}{x_2-x_1}

==> Plug in x1 = -5 , y1 = -1 , x2 = 0 and y2 = -2

Slope=\frac{-2-(-1)}{0-5}

==> simplify numerator and denominator

slope = \frac{1}{-5}

So the slope of the line is -1/5

This means the slope of any parallel line to that line would also have a slope of -1/5

8 0
2 years ago
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