Can you help show steps please?

Answer:

5% account = $1,240

10% account = $2,190

Step-by-step explanation:

Let's assume the amount of savings in the 5% account is x.

Thus the amount of savings in the 10% account is (x + $950).

We can write the following equation from the interest amount:

[5% x ] + [10% (x + $950)] = $281

5%x + 10%x + $95 = S281

15%x = $186

x = $1,240

There is $1,240 in the 5% account

Therefore, on the 10% account there is $1,240 + $950 = $2,190

Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number

Let's begin by listing out the information given to us:

To know which is greater between 0.123 To know which i3& 0.68, let's express it in tenth, hundredth & thousandth

0.123 has 3 decimal places, which means it is 123/1000

0.68 has 2 decimal places, which means it is 68/100

When you multiply by 100, we have:

0.123 * 100 = 12.3

0.68 * 100 = 68

It becomes very evident that 0.68 is greater than 0.123

Answer:

I would choose f(x)= 3|x-1|

Step-by-step explanation: These are the point on the graph.

(X,Y)

-1,6

0,3

1,0

2,3

3,6

Answer:

its D

Step-by-step explanation:

trust me

Answer:

(a)h(g(133))

(b)f(j(6.82))

Step-by-step explanation:

(a)Area of a circle whose circumference is 133 cm.

Since g(C) represents the radius (in cm) of a circle whose circumference is C cm.

h(r) represents the area \((in$ cm^2)\) of a circle whose radius is r cm.

Therefore, the area of a circle whose circumference is 133 cm is:

h(g(133))

(b)Circumference of a circle whose area is \(6.82 cm^2\)

j(A) represents the radius (in cm) of a circle whose area is A \(cm^2\).

f(r) represents the circumference (in cm) of a circle whose radius is r cm.

Therefore:

The circumference of a circle whose area is \(6.82 cm^2\) =f(j(6.82))

The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.

Now, For the greatest distance that can be filmed by a drone with a maximum altitude of 0.12 km, we can use the Pythagorean theorem.

Let's a right triangle with one leg being the radius of the Earth 6378 km and the other leg being the maximum altitude of the drone 0.12 km.

Hence, The hypotenuse of this triangle represents the line of sight from the drone's camera to the horizon.

Hence, By Using the Pythagorean theorem, we can solve for the length of the hypotenuse:

h² = 6378² + 0.12²

h = √40684000.145

h = 6374.5 km

Therefore, The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.

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The equation that best describes the relation is y = -x+1 ( optionD)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Taking x(0,1) and y ( 1,0)

therefore the slope of the line

= 0-1/1-0

= -1/1 = -1

the equation a line is given as

y-y1 = m(x-x1)

= y-1 = -1( x - 0)

= y-1 = -x

y = -x +1

therefore the equation that describe relation is y = 1-x or y = -x+1

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Step-by-step explanation:

here's the correct answer for this question, sorry I made a mistake before

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

∠ J = 71

∠ K = 41

∠ L = 68

sides from largest to shortest = ?

Step 02:

We must apply relationship between sides and angles.

The sides from largest to shortest :

1 . ∠ J = 71 ===> side KL

2. ∠ L = 68 ===> side JK

3. ∠ K = 41 ===> side JL

This is the solution.

KL , JK , JL

Answer: I thihnk it's 1x10^-2

Step-by-step explanation: This equals 0.1, and 6^-2 is equal to 0.1....the rest of the answers are either too big or too small

Find the ratio of the given one: 20/200 = 0.1

this means the sugar (y) is 0.1 amount of soda (x)

Multiply the amount of soda by 0.1:

Formula is y = 0.1x

Formula : y = kx or y = k/x

Thus since the formula is y = kx then we can substitute:

y = 20

k = ?

x = 200

20 = ? / 200

? = 10

Therefore for the rest of the blank

100/10 = 10

500/10 = 50

1000/10 = 100

So the chart now is:

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20      |  10       |    50   |  100   |

[RevyBreeze]

Answer:

ok, here is your answer

Step-by-step explanation:

Using the formula for compound interest:

A = P (1 + r/n)^(nt)

where:

A = the total amount

P = the principal amount

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

Given:

P = €250

r = 9% = 0.09

n = 1 (compounded annually)

t = 3 years

Now, substituting the given values in the formula:

A = 250 (1 + 0.09/1)^(1*3)

A = 250 (1 + 0.09)^3

A = 250 (1.09)^3

A = 250 (1.29503)

A = €323.76 (rounded to two decimal places)

Therefore, the balance in the account at the end of 3 years would be €323.76.

The volume of the triangular prism is 58.32 in³

Volume is the amount of space occupied by a three dimensional object.

The volume of a triangular prism is given by:

V = Area of triangle * height

Area of triangle = (1/2) * 10.8 * 7.2 = 38.88 in²

Volume of prism = 38.88 * 1.5 = 58.32 in³

The volume of the triangular prism is 58.32 in³

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Answer:

58.32in3

Step-by-step explanation:

i did the test

Answer:

(See explanation below for further details)

Step-by-step explanation:

Any point in rectangular form can be described in terms of radius and angle of the circle. That is:

\(P = (r\cdot \cos \theta, r\cdot \sin \theta)\)

Since circunference is divided into 8 equal parts, the point can be modelled as:

\(P = (r\cdot \cos \frac{2\pi\cdot n}{8}, r \cdot \sin \frac{2\pi\cdot n}{8} )\)

The approximate radian and degree values for one circle are:

Radians

\(0 (0), \frac{\pi}{4} (0.785), \frac{\pi}{2} (1.571), \frac{3\pi}{4} (2.355), \pi (3.142), \frac{5\pi}{4} (3.925), \frac{3\pi}{2} (4.71), \frac{7\pi}{4} (5.495), 2\pi (6.280)\)

Degrees

\(0^{\circ}, 45^{\circ}, 90^{\circ}, 135^{\circ}, 180^{\circ}, 225^{\circ}, 270^{\circ}, 315^{\circ}, 360^{\circ}\)

Answer:

Five

Step-by-step explanation:

Pivot columns are said to be columns where pivot exist and a pivot exist in the first nonzero entry of each row in a matrix that is in a shape resulting from a Gaussian elimination.

Suppose A = 5 × 7 matrix

So; if A columns span set of real numbers R⁵

The number of pivot columns that A must have must be present in each row. In a  5 × 7 matrix ; we have 5 rows and 7 columns . So , since A must be present in each row, then :

The matrix must have five pivot columns and we can infer that about  the statements that "A has a pivot position in every row"  and "the columns of A spans R⁵" are logically equivalent.

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

Answer:

should be complementary angles

9514 1404 393

Answer:

  A rotation 90° CW followed by translation right 5 units.

Step-by-step explanation:

It is easier to choose the right composition of transformations if we know what your choices are.

Figure F has an orientation that is 90° CW from that of figure E, so a 90° CW or 270° CCW rotation could be one of the transformations.

Rotation about the origin will move the figure so that the acute angle is in a different quadrant. In order to return it to the same quadrant a translation is required. The amount of translation will depend on whether it comes before or after the rotation.

Possible sequence of motions are ...

Answer:

it will be 300 feet tall and 1000 feet wide

Step-by-step explanation:

The height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

\(y=ba^x+c\)

Here, a,b and c are the real numbers.

The arch support of a bridge can be modeled by the following function,

\(y=-0.0012x^2+300\)

Here, x and y are measured in feet.

The height and width of the arch has to be found out. First, find the x intercept of the function. As at the x intercept, the y equal to zero. Therefore,

\(0=-0.0012x^2+300\\0.0012x^2=300\\x=\sqrt{25000}\\x=500\)

As, the graph is symmetric around the y-axis. Thus, the -500 can also be a solution. Now, the width of the arch can be given as,

\(w=500-(-500)\\w=1000\rm ft\)

Now similarly at x equal to zero, the function will be,

\(y=300\)

Hence, the height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.

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The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

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Answer:

First one is:

1 + 8 + 64 + 512 + 4096

Second one is:

73

Answer:

First one is:

1 + 8 + 64 + 512 + 4096

Second one is:

73

Step-by-step explanation:

Answer:

\( {f}^{ - 1} (x) = 2x - 8\)

\( {f}^{ - 1} (4) = 0\)

Step-by-step explanation:

\( y = \frac{1}{2} x + 4 = = = > \\y - 4 = \frac{1}{2} x = = = > \\ 2y - 8 = x = = > {f}^{ - 1} (x) = 2x - 8\)

\( \frac{1}{2} x + 4 = 4 = = = > \\ \frac{1}{2} x = 0 = = = > x = 0\)

The Value at the end will be \(-2\).

The initial value is defined as 3.

In the second line, the multiply operation executed primarily followed by subtraction.

\(i.e, \text{value} = 3 - (2 \times 3) = 3 - 6\)

\(\therefore \text{value} = - 3\) in the second line.

Incrementing the value in the last line results in \(-2\).

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Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

The width and length of the rectangle will be -1 units and 3 units, respectively.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

\(\text{Area of the rectangle = L x W square units}\)

The width of a square shape is 4 units less than the length. The region of the square shape is 12 square units. Then the equations are given below.

\(W = L - 4\)              ...1

\(L \times W = 12\)           ...2

From equations 1 and 2, then we have

\(L \times (L - 4) = 12\)

\(L^2 - 4L = 12\)

\(L^2 - 4L - 12 = 0\)

\(L^2 - 3L + 4L - 12 = 0\)

\(L(L - 3) + 4(L - 3) = 0\)

\((L - 3)(L + 4) = 0\)

\(L = 3, -4\)

Then the width of the rectangle is given as,

\(W = 3 - 4\)

\(W = -1 \ \text{units}\)

The width and length of the rectangular shape will be -1 units and 3 units, separately.

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The possible values of x are 51% < x < 59%.

When you are given various values, the range of those values is how big the difference is between the largest value and the smallest value. In other words, the range is what you get when you subtract the smallest value in the group from the largest value in the group.

Its possible values are 1, 2, 3, 4, 5, and 6; each of these possible values has a probability of 1/6. 4. The word “random” in the term “random variable” does not necessarily imply that the outcome is completely random in the sense that all values are equally likely.

Let K represent Kofi

1st paper = 45/100

2nd paper = x / 100

Mean score = ( 45 + x ) % / 2

The possible range of x = 48% < (45+X)/2 < 52%

Cross multiplying

96% < 45 + x < 104%

Subtract 45 from both sides

Range = 51% < x < 59%

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54 2/7% is the same as 54 2 divided 7/100

54 200/7

(378+200)/7

578/7

The fraction in the lowest term for 54 2/7% is 19/35

Given,

54 2/7%

We need to convert it into a fraction in the lowest terms.

The lowest term of a fraction means that there is no common factor between the numerator and the denominator.

Example:

2/4 is not the lowest term because we can write it as 1/2.

1/2 is the lowest term.

Convert 54 2/7% into a fraction.

= (7x54 + 2) / 7 %

= 380/7x100

= 380 / 700

= 38 / 70

Find the lowest fraction of 38/70.

We can have 2 as the common factor.

= 2 x 19 / 2 x 35

= 19/35

We don't have any common factor between 19 and 35.

Thus the lowest term fraction of 54 2/7% is 19/35.

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Answer:

0.05

Step-by-step explanation:

5/100 is equivalent to 0.05 as a decimal.

0.05 is the decimal which is equivalent to fraction 5/100.

A number system is defined as a system of writing to express numbers.

We have to find the decimal which is equivalent to the fraction 5/100.

As we observe the fraction 5 represents the part and 100 represents the whole.

To convert a fraction to a decimal, we divide the numerator by the denominator.

We have the fraction 5/100.

To convert this to a decimal, we divided 5 by 100, which gave us the answer 0.05.

This means that 5/100 is equivalent to 0.05 as a decimal.

Hence, 0.05 is the decimal which is equivalent to fraction 5/100.

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Let x and y be the amounts (in mL) of the 4% and 15% solutions, respectively, that the scientist needs to use.

He wants to end up with a 44 mL solution, so

x + y = 44 mL

Each milliliter of 4% solution contains 0.04 mL of acid, while each mL of 15% contains 0.15 mL of acid. The resulting solution should have a concentration of 12%, so that each mL of it contains 0.12 mL of acid. Then the solution will contain

0.04x + 0.15y = 0.12 × (44 mL) = 5.28 mL

of acid.

Solve for x and y. In the first equation, we have y = 44 mL - x, and substituting into the second equation gives

0.04x + 0.15 (44 mL - x) = 5.28 mL

0.04x + 6.6 mL - 0.15x = 5.28 mL

1.32 mL = 0.19x

x ≈ 6.95 mL

==>   y ≈ 37.05 mL