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Agata [3.3K]
3 years ago
6

Reuben invested his savings in two investment funds. The amount he invested in Fund A was 3 times as much as the amount he inves

ted in Fund B. Fund A returned a 5%
profit and Fund B returned a 4% profit. How much did he invest in Fund B, if the total profit from the two funds together was $1710?
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
8 0

Answer:

5/100×1710=20

1710÷20=85.5 dollers

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Are of quadrilateral
koban [17]

Answer:

Area of Quadrilateral = 289.57 sq.cm

Step-by-step explanation:

First of all, let us understand what is a Quadrilateral?

A quadrilateral is a polygon with four sides. A quadrilateral is a closed two-dimensional figure formed by joining the four points among which three points are non-collinear points.

Given,

Length of sides :

AB = 7.5 cm

BC = 11.7 cm

CD = 15.6 cm

AD = 18 cm

and given , the Angle between BCD is 90 degrees and the angle between BAD is 90 degrees.

It implies that the TRAINGLES BCD and BAD are Right angled triangles

So, the length of BD can be found using Pythagorean theorem

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

From the Triangle of BCD,

a= BC

b=CD and

c= BD

Therefore, The length of BD =

c=\sqrt[2]{(11.7^{2})+(15.6 x^{2}) }

c = \sqrt{380.25}

c = 19.5 cm

Hence, c= BD=19.5 cm

Now, Area of Quadrilateral =

1/2*(diagonal)*(sum of height of two triangles)

Here, Diagonal = Length of BD = 19.5 cm

Height (h1) = BC = 11.7 cm

Height ( h2) = AD = 18 cm

Therefore, Area = 1/2*19.5*(11.7+18)

                           = 289.57 sq.cm

Refer more about Area at below link:

https://brainly.in/question/2466686

#SPJ10

5 0
2 years ago
Given the rational expressions 7/(x ^ 2 - 12) and (2x - 1)/(x + 2) which of the following is true?
goldenfox [79]

Answer:

option C

Step-by-step explanation:

\frac{\frac{2x-1}{x+2}}{\frac{7}{x^{2}-12}}=\frac{2x-1}{x+2}*\frac{x^{2}-12}{7}\\\\\\=\frac{(2x-1)(x^{2}-12)}{7(x+2)}

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3 years ago
Select Equal or Not Equal to correctly classify each statement.
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How many days would it take Martin to swim swim 60000 meters
PolarNik [594]

Answer:

300

Step-by-step explanation:

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How do I put these equations into vertex form?
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I found my notes for this exact paper and I have that first problem written. hopefully this helps

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