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blsea [12.9K]
4 years ago
8

After seven years, an initial investment of $600 earned $84. Find the interest rate.

Mathematics
2 answers:
Anit [1.1K]4 years ago
4 0
The simple answer is if you don't read into the question is. 84) divided by 7 which is 12%
Kaylis [27]4 years ago
3 0
If the interest rate never compounds, then the rate would be 84/600 = 14%
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Sandra has 18 yards of fabric. how many 4-inch Pisces can she cut from her original piece
Korvikt [17]

She can cut up the 18 yards into 162 Pisces of 4 inches each. From those, if she works carefully, she can make 81 pairs of little Bootes.

6 0
4 years ago
Find the coordinates of point B along a directed line segment from A(3,4) and
andreev551 [17]

We have been given two points. A(3,4) and C(3,9). We are asked to find the point B such that it divides line segment AC so that the ratio of AB to BC is 4:1.

We will use segment formula to solve our given problem.

When a point P divides segment any segment internally in the ratio m:n, then coordinates of point P are:

[\right x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}\left]

(x_1,y_1)=(3,4) and (x_2,y_2)=(3,9).

m=4,n=1

Upon substituting our given information in above formula, we will get:

[\right x=\frac{4(3)+1(3)}{4+1},y=\frac{4(9)+1(4)}{4+1}\left]

[\right x=\frac{12+3}{5},y=\frac{36+4}{5}\left]

[\right x=\frac{15}{5},y=\frac{40}{5}\left]

[\right x=3,y=8\left]

Therefore, the coordinates of point B would be (3,8).

8 0
3 years ago
If AC = 8x - 14 and EC = 2x + 11, solve for x.
Elan Coil [88]

Answer:

Step-by-step explanation:

8x-14=2x+11

-8 -8

-14=-6x+11

-11

-25=-6x

/-6

x=4.16

5 0
2 years ago
Goran makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
kvasek [131]

Answer:

P=H(8)

Step-by-step explanation:

P equals Pay.

H equals Hours.

Gorans pay is whatever his hours are times 8.

P=H(8)

I hope this helps!

8 0
3 years ago
Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar
Brrunno [24]

The distance between the two points is d=8.6m

The polar coordinate of A is \left(4.47,296.57\right)

The polar coordinate of B is \left(4.24,135\right)

Explanation:

The two points are A(2,-4) and B(-3,3)

The distance between two points is given by,

d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6

Thus, the distance between the two points is d=8.6m

The polar coordinates of A can be written as (Distance, tan^{-1} \frac{y}{x} )

Distance = \sqrt{x^{2} +y^{2} }

Substituting A(2,-4), we get,

Distance = \sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47

tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43

To make the angle positive, let us add 360,

\theta=360-63.43=296.57

The polar coordinate of A is \left(4.47,296.57\right)

Similarly, The polar coordinate of B can be written as (Distance, tan^{-1} \frac{y}{x} )

Distance = \sqrt{x^{2} +y^{2} }

Substituting B(-3,3), we get,

Distance = \sqrt{(3)^{2}+(3)^{2}}=4.24

tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45

To make the angle positive, let us add 360,

\theta=180-45=135^{\circ}

The polar coordinate of B is \left(4.24,135\right)

5 0
3 years ago
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