You deposit # 100 in a savings account that earns 6% annual interest compounded monthly. What
the balance after 5 years.

Step-by-step explanation:

Apply exponent rule: (a. b)^n= a^n b^n

=3²(x¹⁰)²(y⁴)²

3²=9

=9(x¹⁰)²(y⁴)²

break =9(x¹⁰)²(y⁴)² into two

simplify (X¹⁰)² = (x²⁰)

simplify (y⁴)²=(y⁸)

=9(x²⁰)(y⁸)

Answer:

80%

Step-by-step explanation:

You multiple .8 by 100 to find percentage, giving you 80%.

Answer:

i don’t know

Step-by-step explanation:

I don’t know

a) The range of the given data set is 25.

b) The standard deviation of the given data set is 10.1.

The given data set is 141, 116, 117, 135, 126, 121.

a) The range is the difference between the highest and lowest values within a set of numbers.

Range = Highest value - Lowest value

= 141-116

= 25

So, the range is 25.

b) Set up the formula for sample standard deviation. The standard deviation of a set of values is a measure of the spread of its values.

[tex]s=\sqrt{\frac{(x_i-\bar x)^2}{n-1} }[/tex]

Here, mean ([tex]\bar x[/tex]) = [tex]\frac{141+116+117+135+126+121}{6}[/tex]

= 126

[tex]s=\sqrt{\frac{(141-126)^2+(116-126)^2+(117-126)^2+(135-126)^2+(126-126)^2+(121-126)^2}{6-1}}[/tex]

[tex]s=\sqrt{\frac{(15^2+(-10)^2+(-9)^2+(9)^2+(0)^2+(-5)^2}{5}}[/tex]

[tex]s=\sqrt{\frac{(225+100+81+81+25)}{5}}[/tex]

[tex]s=\sqrt{\frac{512}{5}}[/tex]

s=10.1

So, the standard deviation is 10.1.

Therefore,

a) The range of the given data set is 25.

b) The standard deviation of the given data set is 10.1.

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Answer:

The A graph applies to the first and fourth statement

The B graph applies to the second and third statement

The number of ducks in a pond increasing is a 100% bar with an extra 40% added to it (looks like graph A from the previous question)

The number of mosquitos decreasing by 80% is a bar within the already existing 100% (looks like graph B from the previous question)

Step-by-step explanation:

none further needed

Answer:

7.1

Step-by-step explanation:

To round 7.09 to the nearest tenth, you must use the hundredths' place value of 7.09, which is 9 and equal or more than 5. Therefore, the tenths value of 7.09 increases by 1 to 7.1.

Answer:

Step-by-step explanation:

the discount percentage :

[tex]\frac{472-118}{472} \times100 = 75 \%[/tex]

The percentage decrease ( discount percentage ).

[tex]\large\boxed{\sf{formula = 100 \times \frac{(final - initial)}{initial} }}[/tex]

We'll have to subtract 472 ( initial value ) from 118 ( final value).

[tex]472 - 118[/tex]

[tex] = 354[/tex]

Now, we'll have to divide 354 ( difference ) by 118 ( initial value ) and multiply by 100.

[tex] 100 \times \frac{354}{118} [/tex]

[tex]\large\boxed{\sf{ = 75\% }}[/tex]

Hence, the discount percentage is 75.

Answer:

u drag the green dot thing over to the coordinate (6,8)

Step-by-step explanation:

i put a black dot where i think ur supposed to drag the green dot to

Answer:

A: Isosceles (two sides the same)

B: Equilateral (all sides the same)

C: Scalene (all sides different)

Step-by-step explanation:

The total number of outcomes is 16 if the two spinners are used in a game. Each spinner has four equal sections: red, green, white, and blue.

A permutation can be defined as the number of ways a set can be arranged, order matters, but in combination, the order does not matter.

Total number of outcomes on the first spinners = 4 (red, green, white, blue)

Total number of outcomes on the second spinners = 4 (red, green, white, blue)

Total number of outcomes = 4×4 = 16

Total outcomes:

RR    RG    RW   RB

GR    GG   GW   GB

WR   WG   WW   WB

BR    BG    BW   BB

Thus, the total number of outcomes is 16 if the two spinners are used in a game. Each spinner has four equal sections: red, green, white, and blue.

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Answer:

3000

Step-by-step explanation:

12x250=3000

The total amount of money that was spent on lunch on Tuesday is $45.94.

The total amount that was spent on food on Tuesday can be determined by adding the amount spent on breakfast, lunch and dinner. Addition is the mathematical operation that is used to determine the sum of two or more numbers.

Total amount spent = 22.13 + 12.02 + 11.79 = $45.94

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Answer:

  C.  f(n) = 8n − 359

Step-by-step explanation:

The given arithmetic sequence has first term -351, and common difference (-343 -(-351)) = 8. The common difference will be the multiplier of n in the explicit function.

__

You can identify the appropriate explicit function by finding the one that correctly describes the sequence. Evaluating each for n=1 is sufficient. (You will note that choices B and D have the wrong sign on the multiplier of n.)

A f(1) = 8 -351 = -343

B f(1) = -8 -351 = -359

C f(1) = 8 -359 = -351 . . . . correctly gives the first term

D f(1) = -8 +359 = 351

The sequence is defined by the explicit function ...

  f(n) = 8n -359

Answer:A:f(n)=8n-359

Step-by-step explanation:

Answer:

[tex]\displaystyle y=\frac{30x}{6(x-4)}[/tex]

Step-by-step explanation:

Keep in mind that a rational function with a vertical asymptote at [tex]x=4[/tex] means the denominator must be 0 when [tex]x=4[/tex] is plugged in.

This means we have [tex]\displaystyle y=\frac{6}{x-4}[/tex] so far.

To account for the horizontal asymptote at [tex]y=5[/tex], we need to adjust the numerator and denominator so that they are the same degree and that the leading coefficients have a ratio of 5. We can do this by multiplying the numerator by 5x and the denominator by 6.

This leaves us with [tex]\displaystyle y=\frac{30x}{6(x-4)}[/tex] as the translated equation since the end behavior of the function is [tex]\displaystyle y=\frac{30x}{6x}=5[/tex]. See attached graph.

If the volume of the cube is 1/27 cubic inches. Then the volume of the prism will be 10 cubic inches.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

A prism is completely filled with 270 cubes that have an edge length of 1/3in.

Then the volume of the prism will be given as

Volume of prism = 270 (volume of the cube)

Then the volume of the cube will be

Volume of cube = (edge)³

Volume of cube = (1/3)³

Volume of cube = 1/27 cubic inches

Then the volume of the prism will be

Volume of prism = 270 × (1/27)

Volume of prism = 10 cubic inches

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Answer:

y=14; x=72

Step-by-step explanation:

y=(21×2)/3; x=(48×21)/14

Answer:

[tex] \implies \boxed{\rm t = \frac{ - 5}{8} }[/tex]

Step-by-step explanation:

8t-15=32t

Group the terms then subtract:

=>8t-32t=15

=>-24t=15

Divide both sides by -24:

[tex] \implies \rm \cfrac{ - 24t}{ - 24} = \cfrac{15}{ - 24} [/tex]

[tex] \rm \implies \: t = \cfrac{ - 5}{8} [/tex]

The ratio of the sides of the triangles ΔABC and ΔDEF are constant that is 1/2. Then the triangles ΔABC and ΔDEF are similar triangles.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangles are given below.

The ratio of the sides of the triangles ΔABC and ΔDEF will be

AB / DE = BC / EF = CA / FD

2 / 4 = 3 / 6 = 3.5 / 7

1 / 2 = 1 / 2 = 1 / 2

The ratio of the sides of the triangles ΔABC and ΔDEF are constant that is 1/2. Then the triangles ΔABC and ΔDEF are similar triangles.

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Answer:

option 2

Step-by-step explanation:

consider the coordinates A (- 3, 4 ) and A' (- 1, [tex]\frac{4}{3}[/tex] )

since the dilatation is centred at the origin, then corresponding coordinates are multiples/ divisors of each other, then image to original gives scale factor.

scale factor = [tex]\frac{A'}{A}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex] and [tex]\frac{\frac{4}{3} }{4}[/tex] = [tex]\frac{1}{3}[/tex]

similarly B (1, - 2 ) and B' ([tex]\frac{1}{3}[/tex], - [tex]\frac{2}{3}[/tex] )

[tex]\frac{\frac{1}{3} }{1}[/tex] = [tex]\frac{1}{3}[/tex] and [tex]\frac{-\frac{2}{3} }{-2}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

volume = 14,137

Step-by-step explanation:

radius is the diameter divided by 2

30÷2=15

radius = 15 then square

15^2 = 225

formula of volume of a cone is 1/3*pi*raduis^2*the height

1/3(3.14)(225)(60)= 14,137

The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.

The volume of the cone is given by;

[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\ r = radius \ and \ h = height[/tex]

The volume of a cone with a diameter of 30 feet and a height of 60 feet.

The radius of the cone is;

[tex]\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{30}{2}\\\\Radius=15[/tex]

Substitute all the values in the formula

[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume \ of \ cone=\dfrac{1}{3}\times 3.14 \times 15^2 \times 60\\\\Volume \ of \ cone=14130[/tex]

Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.

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Answer:

15.24 millimeters

Step-by-step explanation:

6 * 2.54 = 15.24 mm.

Answer: should be 15.24

Step-by-step explanation: quick maths

Answer:

A

Step-by-step explanation:

the area (A) of a kite is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the diagonals )

here d₁ = 2 + 2 = 4 and d₂ = 3 + 7 = 10 , then

A = [tex]\frac{1}{2}[/tex] × 4 × 10 = 2 × 10 = 20 cm²

Answer:

A) 20 cm^2

Step-by-step explanation:

Area of a kite is the product of the 2 diagonals divided by 2.

= (4*10)/2

= 20

Answer:

[tex]5x - 2y = - 10 \\ 5x = - 10 + 2y \\ x = \frac{ - 10 + 2y}{5} \\ \\ [/tex]

when y=0,-5,5,-10,10

then x=-2,-4,0,-6,2

a. The number of twix bars is 21

b. The number of jolly rangers is 11.

Julianna has thirty two pieces of candy and has four twix bars for every two jolly rangers, we need to find the ratio of candy bars.

Let

Since for every four twix bars, she has two pieces of jolly rangers, the ratio of candy bars is

x:y = 4:2 = 2:1

The number of twix bars is 21

The number of twix bars x = ratio of twix bars/total ratio × total number of candy bars

So, x = 2/(1 + 2) × 32

= 2/3 × 32

= 64/3

= 21.33

≅ 21

So, the number of twix bars is 21

The number of jolly rangers is 11.

The number of jolly rangers y = ratio of jolly rangers/total ratio × total number of candy bars

So, y = 1/(1 + 2) × 32

= 1/3 × 32

= 32/3

= 10.66

≅ 11

So, the number of jolly rangers is 11.

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The correct student is Marcus because the power of the polynomial decreases till  0

The polynomial expressions are given as:

Marcus: 3x³ - 4x²y + y³ + 2

Ariel: y³ - 4x²y + 3x³ + 2

The standard form of a polynomial with the variable x is:

P(x) = ax³ + bx² + cx + d

This means that the power of the polynomial decreases till it gets to 0

Using the above form as a guide, the correct student is Marcus.

Marcus is correct because the power of the polynomial decreases till it gets to 0

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The slant height of the right circular cone will be  [tex]l=2\sqrt5}[/tex]

The formula for the slant height of the cone is given as:

[tex]l^2=r^2+h^2[/tex]

Here we have

r=2 units

h=4 units

By putting the values we will get

[tex]l=\sqrt{4^2+2^2[/tex]

[tex]l=\sqrt{16+4[/tex]

[tex]l=\sqrt{20}[/tex]

[tex]l=2\sqrt{5}[/tex]

Hence the slant height of the right circular cone will be  [tex]l=2\sqrt5}[/tex]

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