Suppose you have invested $1500 at an APR of 8%. Use the Rule of 72 to estimate how long it will be until your investment reaches $3000.

Answer:

x = 50°

Step-by-step explanation:

          A triangle has total interior of 180 degree .

x + 84° + 46° = 180°

x = 180° -46° -84°

x = 50°

In the given triangle, the value of x is determined to be 50°. In other words, The value of x in the triangle is 50°.

To find the value of x in a triangle with angles measuring 84°, 46°, and x°, follow these steps:

Step 1: Recall that the sum of the angles in a triangle is always 180 degrees.

Therefore, the sum of the three angles in the given triangle is:

[tex]84 + 46 + x = 180[/tex]

Step 2: Combine like terms and isolate x.

Start by subtracting 84 and 46 from both sides of the equation:

[tex]84 + 46 + x - 84 - 46 = 180 - 84 - 46[/tex]

[tex]x = 50^{\circ}[/tex]

Step 3: The value of x is 50. This means that the third angle in the triangle measures 50°.

By applying the fact that the sum of angles in a triangle is 180°, set up an equation and solve for x.

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Answer:

PQR = 40

QNP = 60

Step-by-step explanation:

PQR = 180 - (60 + 80)

QNP = 180 - (40 + 80)

Answer:

the original temp was -15 hope this helped;-)

Step-by-step explanation:

A is the center of the dilation because it is being delarged(is that even a word) by a factor of 2 downwards, and the only place possible to be the center of this "delargation" is A

Answer:

Part 1:

-5, a multiplicity of 2

-1, a multiplicity of 1

4, a multiplicity of 3

7, a multiplicity of 1

Part 2: [tex]f(x)=(x+5)^2(x+1)(x-4)^3(x-7)[/tex]

Step-by-step explanation:

This question has to be done visually, and can is a little tricky, because depending on the way the graph intercepts the x-axis, there is going to be a different number of roots.

The roots are represented by the intersection of the function with the x-axis.

To start, take a look at the point [tex](-5,0)\\[/tex], which intercepts the x-axis like a parabola(quadratic function). This means that -5 is a "double root" of the function, or it represents two roots of the function.

Now look at the point [tex](-1,0)\\[/tex], which intercepts the x-axis in a linear way, meaning that -1 is simply a "single-root" of the function, or it only represents one root.

So for the next root, look at [tex](4,0)[/tex], which intercepts the x-axis like a cubic function. This means that 4 is is a "triple-root" of the function, and represents 3 roots of the function.

And finally, we have one final interception at [tex](7,0)\\[/tex], and the interception is in a linear form, meaning 7 is simply a "single-root" to the function, or it only represents one root.

So we can conclude that the following are roots with their respective multiplicities

-5, a multiplicity of 2

-1, a multiplicity of 1

4, a multiplicity of 3

7, a multiplicity of 1

And totally, 2+1+3+1 gives us 7, which supports our answer because we know this is a seventh-degree polynomial.(1)

Now for Part 2

We simply take each root, and subtract it from x in our function, then apply our multiplicity as the exponent

So the function would be: [tex]f(x)=(x+5)^2(x+1)(x-4)^3(x-7)[/tex](2)

Hope this helps.

your suppose to do Base x height then you have to divide it by 2 so you'll have your answer

Hey!

Answer:

R5.60=15 apricots

R10.08=15÷5.60×10.08

=27 apricots {ans}

Answer:

$17.00

Step-by-step explanation:

The profit=67-50

=$17

Step-by-step explanation:

Let's find 120% of 124. 120% of 124 represents the restaurant bill, and the 20% tip included.

Fractions will be used for explanation.

120 can be put over 100, simplified to 1.2/1. 124 can be put over 1.

Multiply (Numerators):

[tex] \frac{124}{1} \times \frac{1.2}{1} = \frac{148.80}{1} [/tex]

$148.80 includes the restaurant bill, and the 20% tip.

Option A. $148.80 is correct.

Answer:

I dont really know to be honest

Answer:

A parabola is a curve with a focus and a directrix. The focus is any point is at an equal distance while the directrix is a fixed line. The vertex of the parabola is (2,1), the two points to the right are (3,4) & (4,13) while the two points to the left are (1,4) & (0,13).

Given that:

y = 3(x - 2)² +1

A parabola is represented as:

y = a (x − h)² + k

Where:

Vertex = (h, k)

So, by comparison; the vertex of the function is:

Vertex = (2, 1)

To plot two points to the right, we select x values greater than 2.

Let: x = 3

So, we have:

y = 3(x - 2)² + 1

y = 3(3 − 2)² + 1

y = 4

Let x = 4

y = 3(x - 2)² + 1

2:37

4G 15%

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Mathematics

5 points

Let x = 4

y = 3(x - 2)² +1

y = 3(4-2)² + 1

y = 13

To plot two points to the left, we select x values less than 2.

Let: x = 1

So, we have:

y = 3(x - 2)² +1

y = 3(1 − 2)² + 1

y = 4

Let x = 0

= 3(x - 2)² + 1 y =

y = 3(02)² +1

= 13

In conclusion:

• The vertex of the parabola is (2,1)

• The two points on the right are (3,4) and (4,13)

• The two points on the left are (1,4) and (0,13)

Answer:

no solution

Step-by-step explanation:

The solution to a system of equations is where the two graphs intersect.  The two lines do not intersect since the lines are parallel, so there is no solution.

=========================================================

Explanation:

Draw a vertical line through the middle to split the figure into two rectangles.

The rectangle on the left is 21 ft by 7 ft. Its area is 21*7 = 147 sq ft.

The rectangle on the right is 24-7 = 17 ft by 21-10 = 11 ft. The area is 17*11 = 187 sq ft.

The combined area is therefore: 147+187 = 334 square feet

-------------

A different approach:

Draw a horizontal line through the middle to form two rectangles.

The rectangle on top is 10 ft by 7 ft with area of 10*7 = 70 sq ft.

The rectangle on the bottom is 24 ft by 12-10 = 11 ft, so its area is 24*11 = 264 sq ft.

Total area = 70+264 = 334 square feet

--------------

Yet another method:

Draw a horizontal line through the top most edge of the figure. Do the same for the right-most side of the figure. The two lines meet in the top right corner. This will form a rectangle that is 21 ft tall and 24 ft wide.

The area of this big new rectangle is 21*24 = 504 sq ft.

However, we don't want all of this area. We'll kick out the rectangular piece that is 10 ft tall by 24-7 = 17 ft across (in the upper right corner). The area we want to kick out is 10*17 = 170 sq ft.

The actual area we want is 504 - 170 = 334 square feet

There are probably other methods you could use to find the area of this figure.

Answer:The solution is in the attached file below

Step-by-step explanation:

Geometry and Similarity both

Answer:

MN and 170°

Step-by-step explanation:

to get around the red arc you would go alphabetically to the points M, N. since u already have 170° and a circles full rotation is 360° that means 360-170=190 and so the blue arc of the circle would either have to be 190° or 170°, and since the angle of the blue arc is farther than the red arc, that would mean the blue arc is 190°.

well, there are 12 months in a year, so, for a year and 1 month that'll be 13 months, or namely 13/12 ths of a year.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds768\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1.00\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &\frac{13}{12} \end{cases}[/tex]

[tex]A=768\left(1+\frac{1.00}{4}\right)^{4\cdot \frac{13}{12}}\implies A=768(1.25)^{\frac{13}{3}}\implies A\approx \stackrel{\pounds}{2019.78} \\\\\\ \stackrel{~\hfill \textit{interest yielded}}{2019.78~~ - ~~768~~ \approx ~~ \stackrel{\pounds}{1251.78}}[/tex]

Answer:

The base is 6.69 and the height is 6.02 (these are rounded to nearest hundredth)

Step-by-step explanation:

soh-cah-toa

cos 42 = adjacent/9

adjacent = cos 42 x 9

adjacent = 6.69

sin 42 = opposite/9

opposite = sin 42 x 9

opposite = 6.02

Answer:

C

Step-by-step explanation:

Answer/Step-by-step explanation:

40% = .40 (As a decimal)

$100 x .40= $40 {Mark-Up}
$40 is the Mark-up.

If Needed:

$100 + $40 = $140 [Final Price of the gymnastics mat]

[RevyBreeze]

Answer:

40/100

Step-by-step explanation:

it may be this or another answer which is 140 to 1400 to 140.000 but 40/100 sould be your answer.

[tex]1. \: \: 10 {x}^{2} y - 5 {x}^{2} y = 5 {x}^{2} y \\ 2. \: \: - 3 x - (5x) - ( - 2x) \\ \: \: - 3x - 5x + 2x = \\ \: \: - 8x + 2x = - 6x[/tex]

Hope this helps :)

Answer:

(a)

(b)

add similar elements together; simplify.

Answer:

1

Step-by-step explanation:

this is because it has 5 equal parts and only one red

Answer:

30

Step-by-step explanation:

Substitute for x and y

2 x 3 x 5 = 6 x 5 = 30

I hope this helped and please mark mark me as brainliest!

Step-by-step explanation:

25/4*14*3= 21*25/4= 262.5 ft^3

1. Observe Problem

Use crossout to determine the answer

As we approach immediately, we notice that A is the answer

For the equation  cos(x) = sin(14°) where 0° < x < 90° the value of x is 76 degrees.

We have given,

For what value of x is,

cos(x) = sin(14°),

where 0° < x < 90°

1. Observe the problem

Use cross out to determine the answer.

[tex]cosx=sin(14^0)[/tex]

The value of the sin(14) degree is 0.2491

[tex]cosx=sin(14^0)\\\\\\cosx=0.24192\\\\\\x=cos^{-1}(0.24192)[/tex]

[tex]x=76.05^0[/tex]

x=76.05 degrees.

As we approach immediately, we notice that A is the answer.

Therefore,For cos(x) = sin(14°) value of x is 76 degrees.

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Answer:

4/15

Step-by-step explanation:

Because there are 4 black and 15 red so your saying there are 4 out of 15 are black