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dedylja [7]
3 years ago
6

Solve.

Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:

The solution is (4, 0)

Step-by-step explanation:

Using Linear combination method to solve:

2d + e = 8\\d - e = 4\\

Since "e" have the same coefficient in both equation with opposite operator; we will add.

(2d + d) + (e - e) = (8 + 4)\\3d = 12\\

Divide both side by coefficient of d which is 3

\frac{3d}{3}  = \frac{12}{3} \\d = 4\\

Since d = 4; put 'd' into any of the equation to get 'e'

2d + e = 8\\2(4) + e = 8\\8 + e = 8\\e = 8 - 8\\e = 0\\

Therefore, the solution is (4, 0)

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A principal amount of $4,700 is deposited into an account paying interest at a rate of 3%, continuously compounded. What will be
Ronch [10]

The account balance after 3 years if the interest is compounded continuously is $5,142.62

<h3>How to find compound interest?</h3>

  • Principal, P = $4,700
  • Time,t = 3 years
  • Interest rate, r = 3%

r = 3/100

r = 0.03 rate per year,

A = Pe^rt

A = 4,700.00(2.71828)^(0.03)(3)

= 12,775.916^0.09

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Therefore, the account balance after 3 years if the interest is compounded continuously is $5,142.62

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8 0
2 years ago
Graph 3(8-4x)&lt;6(x-5)
Zinaida [17]

First simplify this inequality:

3(8-4x)

Now you can graph this inequality. Draw the vertical dashed line x=3 and shade the region to the right from this line. This is exactly the region that represents the solution of inequality (see attached diagram for details).

4 0
3 years ago
The giraffe is 15 feet tall. she is 2 1/2 times as tall as the elephant. how tall is the elephant?
salantis [7]
The giraffe is about 5 feet tall
3 0
3 years ago
Read 2 more answers
A) Work out the value of (square root of 5)^2 x (square root of 3)^2?
gulaghasi [49]

Answer:

15

Step-by-step explanation:

Square root of 5=√5

Square of the square root=(√5)^2

=5

Square root of 3=√3

Square of the square root=(√3)^2

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So (square root of 5)^2×(square root of 3)^2

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15

Therefore the final answer is 15

6 0
2 years ago
370 second song is divided into three parts, the beginning, the middle, and the end. The beginning is one sixth as long as the e
Alex777 [14]

Answer:

Step-by-step explanation:

The main part of the song is the end.  The beginning length is based on the end and so is the middle length.  The beginning length is 1/6 as long as the end, so if the end is our main unknown, x, the beginning is 1/6x.  The middle is one-half as long as the end, so if the end is our main unknown, x, the middle is 1/2x.  The sum of the 3 parts is 370, so:

x+\frac{1}{6}x+\frac{1}{2}x=370

The GCF of those denominators is 6, so multiply through every term by 6 to get rid of the fractions:

(6)x+(6)\frac{1}{6}x+(6)\frac{1}{2}x=(6)370

Simplifying gives us

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3 0
2 years ago
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