In the expression (44 - 4) ÷ 2 + 10, which operation should we start with?

9514 1404 393

Answer:

  a) $42.35

  b) $5124.56

  c) $407.44

Step-by-step explanation:

a) The interest due is that for one month on the remaining balance:

  I = Prt

  I = $5082.21·0.10·1/12 = $42.35

__

b) The final payment is ...

  $5082.21 +42.35 = $5124.56

__

c) Had Hudson continued paying, he would have paid ...

  20·$276.60 = $5532.00

So, he saved ...

  $5232.00 -5124.56 = $407.44

Answer:

$1,538.00

Step-by-step explanation:

Step-by-step explanation:

Answer:The triangle is acute

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

Answer:

10ft

Step-by-step explanation:

Hi! Thanks for using Brainly! My work and explanation is shown below!

Equation Used to Solve:

5x

Solve:

5(2)=10

The slide is 10ft away from the fountain since each unit equal 5 ft, each increase by 1 on the y-value is 5ft, and each increase by 1 on the x-axis is 5ft, meaning that if the slide is at (-2, 0) and the fountain is at (-2, -2) there was an increase of 10ft total.

Answer:

Depends on what you mean by close if you were to round it you would get 11 not 12 if thats what you mean, but if you mean closer to that number then like 5 then yes

Step-by-step explanation:

The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6  < √7 <  π  < 2√6

(a)

π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)

√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)

2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)

√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)

(b)

Order from least to greatest:

√6  < √7 <  π  < 2√6

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The probability that a point chosen at random lies on the shaded region is given as follows:

4/7.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The area of the shaded region in this problem is given as follows:

4² = 16.

The total area of the figure is given as follows:

16 + 2 x 1/2 x 3 x 4 = 28.

Hence the probability is given as follows:

16/28 = 4/7.

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Answer:

the first one

the first one Step-by-step explanation:

the first one Step-by-step explanation:from the formula Un =ar^n-1

where a is 2

where a is 2 r = 20/2=10

where a is 2 r = 20/2=10 so Un= 10×2^n-1

that's all.....have fun

Answer:

C.)  an =1/5 * 10n-1

Step-by-step explanation:

D.) is out of the question just at first look.
A.) is irregular to the sequence, giving you the wrong outputs.
B.) is also irregular to the sequence.

Leaveing your answer...

Answer:

n=-6/4

Step-by-step explanation:

4n+40=34

-40. -40

4n=-6

divide by sides by 4

so n equals -6/4

Given the following equation:

You can follow these steps in order to find the value of "n":

1. Apply the Multiplication Property of Equality by multiplying both sides of the equation by the variable "n":

2. Apply the Division Property of Equality by dividing both sides of the equation by 4.56:

Therefore, the answer is:

The quadratic equation is decreasing over the interval (-∞, 1)

A general function is decreasing when, reading from left to right, the function goes downwards.

Particularly, in the case of this quadratic equation that opens upwards, the function will be decreasing until the vertex of the quadratic, which is at the point (1, -5)

Then the interval in which the quadratic function is decreasing is between negative infinity and 1, or we can write that as: (-∞, 1)

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Answer:

I'm pretty sure the answer is B

Step-by-step explanation:

Hope this helped :) Sorry if its wrong

Answer:

b

Step-by-step explanation:

I like to think of it as this:

If the circle is filled, it is \(\leq or \geq \\\) (more)

If not, it's < or >

The arrow points in the direction the line is going.

In this graph, the line is going to the left. So is the symbol.

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer: 0.08 dollars

Step-by-step explanation:

8.64 divided by 9 = 0.96

0.96 divided by 12 = 0.08

If x + 1, x - 5, and x - 2 are in a geometric progression, then there is some constant r for which

x - 5 = r (x + 1)

==>   r = (x - 5) / (x + 1)

and

x - 2 = r (x - 5)

==>   r = (x - 2) / (x - 5)

Then

(x - 5) / (x + 1) = (x - 2) / (x - 5)

Solve for x :

(x - 5)² = (x - 2) (x + 1)

x ² - 10x + 25 = x ² - x - 2

-9x = -27

x = 3

It follows that the ratio between terms is

r = (3 - 5) / (3 + 1) = -2/4 = -1/2

Now, assuming x + 1 = 4 is the first term of the G.P., the n-th term a(n) is given by

a(n) = 4 (-1/2)ⁿ⁻¹

The sum of the first 12 terms - denoted here by S - is then

S = 4 (-1/2)⁰ + 4 (-1/2)¹ + 4 (-1/2)² + … + 4 (-1/2)¹¹

Solve for S :

S = 4 [(-1/2)⁰ + (-1/2)¹ + (-1/2)² + … + (-1/2)¹¹]

(-1/2) S = 4 [(-1/2)¹ + (-1/2)² + (-1/2)³ + … + (-1/2)¹²]

==>   S - (-1/2) S = 4 [(-1/2)⁰ - (-1/2)¹²]

==>   3/2 S = 4 (1 - 1/4096)

==>   S = 8/3 (1 - 1/4096)

==>   S = 1365/512

Answer:

your answer is 31.80

Step-by-step explanation:

...

Step-by-step explanation:

...................mmmm.

Answer:

0.08 pounds per pint.

Step-by-step explanation:

Given: The density of a certain material is such that it weighs 10 ounces per gallon.

We are to express this density in pounds per pint.

1 gallon ⇒ 10 ounces

1 pound = 16 ounces

How many pounds? = 10 ounces.

Cross-multiplying gives;

\(\frac{10 * 1}{16} = 0.625\) pounds

1 gallon = 8 pints

The density in pounds per pint is;

0.625 pounds ÷ 8 pints = 0.078125 pounds per pint = 0.08 pounds per pint (answer rounded up to the nearest hundredth).

Answer:

a = 38⁰

b = 54⁰

c = 54⁰

Step-by-step explanation:

a + 142⁰ = 180⁰ because a straight line = 180⁰

b + 38⁰ + 88⁰ = 180⁰ because the angles of a triangle equal 180⁰, and the missing measurement = 38⁰ because it is a vertical angle to angle a

c + 88⁰ = 142⁰ because the angles are corresponding angles

None of the solutions are appropriate since the result of the equation z + (z+6) will be equal to 2z + 6.

A mathematical expression is the result of combining a number of mathematical symbols with an arithmetic operator, a variable, and a constraint.

In a different sense, expression is highly helpful in identifying the root or end value of a constraint.

for instance, 3x + 5y

The expression restriction is denoted by the symbols = or, >.

Given the phrase,

z + (z+6)

opening the bracket

z + z + 6

⇒ 2z + 6

Hence

"2z + 6 will be the value of the equation z + (z+6)."

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Answer:

x² + 12x - 160 = 0

x = 8 or x = -20

The dimensions are 2 cm, 11 cm, 17 cm.

Step-by-step explanation:

The volume of the cuboid is the product of the three dimensions.

volume = 2(x + 3)(x + 9)

volume = 2(x² + 12x + 27)

volume = 2x² + 24x + 54

We are told the volume equals 374 cm³.

2x² + 24x + 54 = 374

2x² + 24x - 320 = 0

x² + 12x - 160 = 0

(x - 8)(x + 20) = 0

x - 8 = 0 or x + 20 = 0

x = 8 or x = -20

We do not use x = -20 because it would cause two dimensions to be negative which cannot be.

x = 8

x + 3 = 8 + 3 = 11

x + 9 = 8 + 9 = 17

The dimensions are 2 cm, 11 cm, 17 cm.

The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with

Two dots at 0

One dot at 2

Two dots at 3

Four dots each at 4, 5, and 6

One dot at 7

A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.

The data can be presented as follows;

2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6

The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.

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Answer:

Step-by-step explanation:

ax² + bx + c = y

x² + 10x + 27 = 0

to complete the square, we want the "c" term to be equal to the square of half of the "b" term.

In this case b = 10, half of that is 5. the square of 5 is 25.

We already have c = 27, so to get 25 there we just subtract 2 from each side of the equation.

x² + 10x + 27 - 2 = 0 - 2

x² + 10x + 25 = - 2

         (x + 5)² = - 2

taking the square root of each side

            x + 5 = ±√- 2

the square root of a negative number is an imaginary number

            x + 5 = ±√-1√2

            x + 5 = ± i√2

                  x = - 5 ± i√2

Answer:

the answer is 1.9

Step-by-step explanation:

because I multiply.38×5

Answer:

0.222222 in yards

Answer:0.223

Step-by-step explanation: when converted 8 inches is equal to 0.2 infinitly or round to the thousands its 0.223

The exponential function that represents this situation is 25000(1.03)ˣ

From the question, we have the following parameters that can be used in our computation:

Inital visitors, a = 25000

Rate of increase, r = 3%

Using the above as a guide, we have the following:

The function of the situation is

f(x) = a * (1 + r)ˣ

Substitute the known values in the above equation, so, we have the following representation

f(x) = 25000 * (1 + 3%)ˣ

So, we have

f(x) = 25000(1.03)ˣ

Hence, the function is 25000(1.03)ˣ

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Answer:

2/100

Step-by-step explanation:

to find a percentage you times by a hundred