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KonstantinChe [14]
3 years ago
7

Solving exponential equation 10^3 = 10^2x + ^ 3

Mathematics
1 answer:
Effectus [21]3 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

Simplifying

2x + -10 = 10 + -3x

Reorder the terms:

-10 + 2x = 10 + -3x

Solving

-10 + 2x = 10 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.

-10 + 2x + 3x = 10 + -3x + 3x

Combine like terms: 2x + 3x = 5x

-10 + 5x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0

-10 + 5x = 10 + 0

-10 + 5x = 10

Add '10' to each side of the equation.

-10 + 10 + 5x = 10 + 10

Combine like terms: -10 + 10 = 0

0 + 5x = 10 + 10

5x = 10 + 10

Combine like terms: 10 + 10 = 20

5x = 20

Divide each side by '5'.

x = 4

Simplifying

x = 4

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Answer:

n=-4

Step-by-step explanation:

n/2+5=3

n/2=-2

n=-4

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3 years ago
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3 years ago
What is the equation of the circle with center (-3.2, -2.1) and radius 4.3?
Ilya [14]

The equation of the circle is :  x^{2} + y^{2} + 6.4x + 4.2y = 3.84

<h3>Meaning of a Circle</h3>

A circle is a loci or a continuous line that equidistant from the center to any point on the line. it drawn starting from a point and ending on that same  point.

The equation of a circle is an equation used to find points on a circle so the circle can be drawn with accurate measurement. it can also be used to find the missing points.

In conclusion, The equation of the circle is :  x^{2} + y^{2} + 6.4x + 4.2y = 3.84

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6 0
2 years ago
Ivy invested $150 000 in a savings account that offers to pay simple interest of 0.2% per year. How much interest will she recei
kvv77 [185]

Answer:

The answer is the CD was for 3 years.

Step-by-step explanation:

First, write the equation.

I=Prt

Next, substitute the given values.

$198=$1,200×5.5%×t

Next, write the percent as a decimal.

$198=$1,200×0.055×t

Next, simplify.

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Then, solve for t.

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8 0
2 years ago
M is directly proportional to r cubed when r = 4, m = 160. Find the value of r when m = 540
Anarel [89]

Answer:

r = 6

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportionality

To find k use the condition r = 4 when M = 160

k = \frac{M}{r^3} = \frac{160}{64} = 2.5, so

M = 2.5r³ ← equation of proportionality

When M = 540, then

540 = 2.5 r³ ( divide both sides by 2.5 )

216 = r³ ( take the cube root of both sides )

r = \sqrt[3]{216} = 6

5 0
3 years ago
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