You inherit $5000 from your long lost Uncle Harold. The bad news is that the money must sit in a bank account for the next ten years until you can use it. The account earns 7. 2% interest, compounded annually. This means that you will need to multiply the amount of money by 1. 072 to determine how much money remains at the end of the next year

Let's see

[tex]\\ \rm\dashrightarrow \dfrac{60-55}{60}\times 100[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{5}{60}\times 100[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{50}{6}[/tex]

[tex]\\ \rm\dashrightarrow 8.3\%[/tex]

Step-by-step explanation:

x/15 = y/6

x = 15y/6

x/y = 15/6 = 5/2

1a. 35

b. 17.5

c. 3.5d

2. $4.5

Slope=1

Hope it helps.

Do comment if you have any query.

Answer: Slope=1

Step-by-step explanation:

Answer:

5.7×-1.2=-7.14

Step-by-step explanation:

+5.7(×)-1.3

+(×)- = -(it gives a negative answer)

so you multiply 5.7 and 1.3= 7.14

you just add a negative sigh to the ans

answer=-7.14

please consider a brainlest question

Step-by-step explanation:

maybe if i reply I'll get points or whatever

Answer:

It is irrational and equal to 4square root 2

Answer:

9/36

Step-by-step explanation:

Given :1,2,3,4,5,6

first draw even probability 3/6=1/2

second draw even probability 3/6=1/2

1/2x1/2 or 3/6 x3/6= 1/4 or 9/36

Answer:

Yes

Step-by-step explanation

Lines are perpendicular when they have the reprocial slope with the opposite sign.

Yes, the lines having slopes 6 and -1/6 are perpendicular.

The slope of a line is a number that describes  the direction  of the line. The formula of calculating slope is calculated as under:

Slope=[tex](y_{2} -y_{1} )/(x_{2} -x_{1} )[/tex].

We have been given that the slope of line A is 6 and slope of line B is -1/6.

Two lines are seem to be perpendicular to each other if the product of their slopes is equal to -1.

Product=slope of line A * Slope of line B

=6*(-1/6)

=-6/6

=-1

Hence the lines having slopes 6 and -1/6 are perpendicular to each other.

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Answer:

A 1320

Step-by-step explanation:

22 x 60

1320

Two similar solids have a surface area of 48ft^2 and 147ft^2 respectively.  If the volume of the smaller solids is 320ft^3 and the volume of the larger solid is 1715 cubics in.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

Two similar solids have a surface area of 48ft^2 and 147ft^2 respectively.

If the volume of the smaller solids is 320ft^3.

Since the solids are similar, the ratio of the surface areas is equal to the square of the scale factor, k.

Thus, k2 = 147 / 48 , or k = 49/16 = 7/4

The ratio of the volumes of the solids is equal to k3, which gives:

V / 320 = (7/4)^3

where V is the volume of the larger solid.

V = 320 x  (7/4)^3

= 1715 cubics in

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Answer:

  (c)  4x + 2y = 14; x + y = 3

Step-by-step explanation:

The given equation will be the result of eliminating the y-variable from the system. When we do that for the different answer choices, we get ...

Add the two equations: (3x -y) +(x +y) = (15) +(7)  ⇒  4x = 22

Add the two equations: (x +3y) +(-x -3y) = (24) +(16)  ⇒  0 = 40

Subtract twice the second from the first.

  (4x +2y) -2(x +y) = (14) -2(3)  ⇒  2x = 8 . . . . the system we're looking for

Add the two equations: (2x +2y) +(-2x -2y) = (8) +(8)  ⇒  0 = 16

_____

Additional comment

When the equation reduces to 0 = constant, and "constant" is not zero, it means the system of equations has no solution. (The equations describe parallel lines.)

The coordinates represent the numbers of plants of each type she can use and minimize the cost

Let x be the number of plants of one type.

y be the number of plants of the other type.

The optimal solutions will occur at one or more of the extreme points this is the vertices of the feasible region.

We have, The vertex of the feasible region that results in the minimum value of the cost function is (5,39).

That means buying 5 of one type of plant and 39 of the other type of plant results in the lowest cost.

Thus the coordinates represent the numbers of plants of each type she can use and minimize the cost.

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Answer:

Buying five of one type of plant and 39 of the other type of plant results in the lowest cost.

Step-by-step explanation:

Answer:

Yes it is

Step-by-step explanation:

2/100 = 0.02

You have to move two spaces to the left of 2, as 100 contains two zeroes (u must start counting from 2 and put zeroes along, until u finish counting)

after u finish counting put a 0. in the left of of all the zeroes and the 2

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The Correct choice is A

Theoretical probability is defined as number of favorable outcomes out of Total possible outcomes.

That is :

[tex]\qquad \tt \dashrightarrow \: \dfrac{ \texttt{No. of favorable outcomes}}{ \texttt{Total number of possible outcomes}}[/tex]

By definition, Theoretical probability is equal to,

⇒ Number of favorable outcomes / Total no. of possible outcomes.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

To find the definition of Theoretical probability.

Now, We know that;

Theoretical probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Hence, By definition, Theoretical probability is equal to,

⇒ Number of favorable outcomes / Total no. of possible outcomes.

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Answer:

200.5ft²

Step-by-step explanation:

According to my calculation this is the answer ..

Note the rules

[tex]\\ \rm\Rrightarrow \dfrac{7^{12}7^9}{(7^6)^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{7^{21}}{7^{18}}[/tex]

[tex]\\ \rm\Rrightarrow 7^3[/tex]

[tex]\\ \rm\Rrightarrow 729[/tex]

Answer:

C is the answers for the question

Answer: $15+( 30×the number of months)

The third answer iis right.

Step-by-step explanation: First month you pay 15 And you top up with 30 every month

Answer:

3

Step-by-step explanation

bc you need to look at one month and its 45 each month its 30 + 15

Answer:

1) 27/125

2) 12/25

Step-by-step explanation:

3*3*3 = 27

3*5*4= 60, but simplified is 12/25

If the value of the mean is 79.6923 then the standard deviation is 3.5. Then the correct option is A.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The following table shows the heights, in inches, of the players on the opening-night roster of the 2015-2016 New York Knicks.

84, 80, 87, 75, 77, 79, 80, 74, 76, 80, 80, 82, 82

The mean will be

N = 13

[tex]\mu = \dfrac{84+ 80+ 87+ 75+ 77+ 79+ 80+ 74+ 76+ 80+ 80+ 82+ 82}{13}\\\\\mu = \dfrac{1036}{13}\\\\\mu = 79.6923[/tex]

Then the standard deviation will be

[tex]\sigma = \sqrt{\dfrac{\Sigma _{i=2}^N (x_i - \mu)^2}{N}}\\\\\sigma = \sqrt{\dfrac{(84-79.6923)^2+(80-79.6923)^2+ ..... + (82-79.6923)^2}{13}}\\\\\sigma = 3.4947128281848 \approx 3.5[/tex]

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Answer:

13

Step-by-step explanation:

6+3 x 2-5+(7-1)

6+3 x 2-5+(6)

6+6-5+6

12-5+6

7+6

13

[tex]6 + 3 \times 2 - 5 + (7 - 1)[/tex]

you can follow BODMAS rule where,

B= brackets

O= Order

D= Division

M= Multiplication

A= Addition

S= Subtraction

[tex]6 + 3 \times 2 - 5 + (7 - 1)[/tex]

[tex] = 6 + 3 \times 2 - 5 + 6[/tex]

[tex] = 6 + 6 - 5 + 6[/tex]

[tex] = 12 - 5 + 6[/tex]

[tex] = 7 + 6[/tex]

[tex] = 13[/tex]

Answer:

f(x)=(x+4)-10

Step-by-step explanation:

Since the function f(x)=x^2+8x+6 is in standard form, you need to find the axis of symmetry using the formula -b/2a, and then plug the value back into the original equation to find the vertex.

The vertex is (-4, -10)

Using this information, we can rewrite the equation in vertex form (f(x=a(x-h)+k), where (h, k) is the vertex.

The equation we rewrite is f(x)=(x+4)-10

Answer:

Step-by-step explanation:

I am assumimg you mean 5/9 and 16/5.

2 irrational numbers between these values are e and π.

Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

Two rational numbers are,

⇒ 5 / 9 and 16 / 5

Now, We get;

⇒ 5 / 9 = 0.5555

⇒ 16 / 5 = 3.2

Hence, Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

Thus, Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

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A country pledges to reduce its annual  CO₂ emissions by 5% per year, the maximum allowable emissions in the year 2029 is,  4245.89 Mt

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

A country pledges to reduce its annual CO₂ emissions by 5% per year

The emissions in 2022 are 6,080 Mt

The maximum allowable emissions in the year 2029 = ?

In 2022   CO₂ emission  = 6,080 Mt

5% reduces next year

So, In 2023

CO₂ emission  =  6080(1 - 0.05)

In 2024

CO₂ emission  =  6080(1 - 0.05)(1 - 0.05)

So after 7 years in 2029

CO₂ emission  =  6080(1 - 0.05)⁷

                        =  4245.89

Hence, the maximum permissible emission is  4245.89 Mt

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Answer:

So, cost of small size is $7 and cost of large size is $13.

Step-by-step explanation:

Let cost of each small size - x, cost of each large size - y

By the question,

3x + 14y = 203

11x + 11y = 220

From the first equation, we get,

3x + 14y = 203

or, 3x = 203 - 14y

so, x = (203 - 14y)/3

Substituting x's value in second equation :-

11x + 11y = 220

or, 11 { (203 - 14y)/3 } + 11y = 220

or, {2233 - 154y}/3 + 11y = 220

or, { 2233 -154y + 33y} = 660

or, 2233 - 121y = 660

or, 121y = 2233 - 660

or, 121y = 1573

so, y = 1573/121

so, y = 13

Now,

As we know,

x = (203 - 14y)/3

or, x = ( 203 - 14 × 13)/3

or, x = (203 - 182)/3

so, x = 21/3

so, x = 7

So, cost of small size is $7 and cost of large size is $13.

Answer:

I'm missing some information... but I'll answer the question regardless

x=the cost of the meal

1.2x≤$15

divide both sides by 1.2

x≤$12.5

In short, this means that Nicole can buy anything that costs $12.50 or less.