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mr_godi [17]
3 years ago
13

Could someone help me understand how to solve this? I'm having trouble with it, it's about Applications of Systems of Linear Equ

ations.

Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

Answer:

Therefore the amount in the 4% savings account = $550

Step-by-step explanation:

i) the total amount = $1500

ii) let the amount placed in the 4% interest savings account = x

iii) let the amount placed in the 5% interest savings account  = y

iv) therefore fro i) we can say  x  +  y = 1500

v) the total interest gained = $69.5

vi) therefore we can write 0.04x + 0.05y = 69.50

vii) multiplying equation vi) with 100 we get 4x + 5y = 6950

viii) Multiplying the equation in iv) by 5 we get 5x + 5y = 7500

ix) Subtracting equation in vii) from equation in viii) we get x = $550

x) Therefore the amount in the 4% savings account = $550

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A movie cost $3,254,107 to produce. What digit is in the hundred thousands place?
Alla [95]
The two in 3,254,107 is in the hundred thousands place
3 0
3 years ago
Obtén lo que se te pide, dadas las dos matrices siguientes.
Ivan
I think its b because it makes sense
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3 years ago
A box of 42 jelly beans contains 9 orange jelly beans. What is the probability that a randomly selected jelly bean will be orang
umka2103 [35]

Answer: 3/14

Step-by-step explanation: P(Orange jelly bean) = 9/42 = 3/14

7 0
3 years ago
the length of a rectangle is 5 times as long as its breadth and its area is 1620 m² find area of square whose perimeter is equal
Rus_ich [418]

Answer:

Area of the square is 2916 m^{2}.

Step-by-step explanation:

Let the breadth of the rectangle be represented by w. So that;

length of rectangle = 5w

Area of rectangle = length x breadth

                             = 5w x w

1620 = 5w^{2}

divide through by 5 to have,

w^{2} = 324

w = \sqrt{324}

   = 18

Thus, the breadth of the rectangle is 18 m.

length = 5 w = 5 x 18

           = 90 m

The length of the rectangle is 90 m.

Perimeter of the rectangle = 2(l + w)

                                  = 2( 90 + 18)

                                  = 216 m

Perimeter of a square = 4l

where l is the length of its side.

Given that the perimeters of the rectangle and square are equal, then;

4l = 216

l = \frac{216}{4}

 = 54

length of the side of square is 54 m.

Therefore,

Area of square = l^{2}

                         = 54^{2}

                        = 2916

Area of the square whose perimeter is equal to that of the rectangle is 2916 m^{2}.

6 0
3 years ago
During the first hour of operation the farm stand owner sold 15% of the apples he had. On the second hour he sold 20% of the rem
Lelechka [254]

Answer:

200 kg


Step-by-step explanation:

First hour he sold 15% <em>(remaining is 85%)</em>

Second hour he sold 20% of remaining <em>(which is 85%)</em> -- so he sold (0.2)(0.85)=0.17, which is 17% (remaining 85-17=68%)

Third hour he sold 25% of remaining <em>(which is 68%)</em> -- so he sold (0.25)(0.68)=17, which is 17%


In third hour he sold 34, so 17% is 34. To find total he initially had, we need to find (100%). We can setup the ratio (letting x equal his initial amount):

\frac{0.17}{34}=\frac{1}{x}\\0.17x=34\\x=\frac{34}{0.17}=200

Initially the farm stand owner had 200 kg of apples.

5 0
3 years ago
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