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Dmitry [639]
3 years ago
8

Please solve last question on test 1/2 - 1/8q=q-1/4

Mathematics
1 answer:
omeli [17]3 years ago
6 0

Answer:

 q = 2/3

Step-by-step explanation:

From the question the equation is given by,

                      1/2 - 1/8q=q-1/4

Rearranging the terms in the given equation and bringing the similar terms to the same side of the equation,

                    - 1/8q -q = -1/4 - 1/2

Adding the terms in the equation of both left and right hand side of equation:

                    -((1+8)/8) × q    = -(1+2)/4

                    -(9/8) × q         = -3/4

Dividing the both sides of the equation by  3/4

                    -3/2q               = -1

Multiplying the both sides of the equation by -2/3

Therefore,              q=2/3

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6 0
3 years ago
The population in the town of Huntersville is presently 38,300. The town grows at an annual rate of 1.2%. Find the population of
Basile [38]
Hi there! So the situation that we are talking about for this is compounding, because the population is growing.. The formula for compounding something is P(1 + r)^t, with P representing the initial amount, r representing the rate, and t representing the time in years. First off, let's add the rate into 1. 1.2% is 0.012 in decimal form. 1 + 0.012 is 1.012. Now, because we are looking for the population after 4 years. We raise 1.012 to the 4th power. 1.012^4 is 1.04887093274. It's a long decimal, but do not delete this number from your calculator. Now, we multiply that number by 38,300 in order to get 40,171.7567238 or 40,172 when rounded to the nearest whole number. There. The population of Huntersville will be 40,172 people in 4 years.
3 0
3 years ago
Solve the equation for x. <br><br> 2(5x + 3) = 26
Aleksandr [31]

Answer: x=2

Step-by-step explanation:

2(5x+3)=26

Distribute the 2

10x+6=26

Subtract 6 from both sides

10x=20

Divide both sides by 10

x=2

5 0
3 years ago
Kaylee invested $910 in an account paying an interest rate of 2.6% compounded
Nikitich [7]

Answer:

$1,179

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, lets change 2.6% into a decimal:

2.6% -> \frac{2.6}{100} -> 0.026

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=910(1+\frac{0.026}{4})^{4(10)}

A=1,179.21

The account balance after 10 years will be $1,179

8 0
3 years ago
Which combination of shapes can be used to create the 3-D figure?
liq [111]

Two regular octagons and eight congruent rectangles are perfect for the creation of 3-D figures.

According to the statement

we have to tell and explain about the types of shapes which are required for the creations of 3-D figure.

For this purpose, Firstly we have to know about the 3-D figures.

So,

A shape is a graphical representation of an object or its external boundary and outline, as opposed to other properties such as color, texture, or material type.

A plane shape is constrained to lie on a plane, in contrast to solid 3-D shapes.

After that we know that the

When the all dimensions of a given shape can be observed at the same time, then its is said to be in a 3-D. However, polygons are shapes which has 3 or mores sides. Examples are: trigon, hexagon, octagon etc.

Thus, since the in the 3-D figure have 8 sides connected which is greater than their width.

This confirms that the sides of the figure made up of eight congruent rectangles, because the 3-D figure has eight regular sides. Then, the height of the figure would be the length of the rectangles.

After that all this condition, Two regular octagons and eight congruent rectangles are perfect for the creation of 3-D figures.

Learn more about creation of 3-D figures here

brainly.com/question/326906

#SPJ1

8 0
1 year ago
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