A person places $72300 in an investment account earning an annual rate of 7.1%, compounded continuously. Using the formula V = Pe^rt, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 19 years.

Answer:

6m

Step-by-step explanation:

m =number of M&M's

3m=number of peanuts

2m=number of raisins

m+3m+2m=total number of pieces of food=6m

Answer:

3.6397

Step-by-step explanation:

10 tan (20°) = 3.6397

Answer:

z and -4z are like terms

Terms: z,8,-4z

like terms: z,-4z

Answer:

Step-by-step explanation:

Answer:

hypotenuse

Step-by-step explanation:

When you use the distance formula you are calculating the length of the hypotenuse of a right triangle.

When using the distance formula, you are making a right triangle whose hypotenuse connects two given points.

Answer: The blank would be hypotenuse if I’m not mistaken!

Answer: $96.60  

Step-by-step explanation:

40% * 69 = markup price

0.4 * 69 = 27.6

Now add it to the wholesale price which is the price the store bought the shoes.

$27.6 + $69 = $96.60  

or

100% + 40% = 140%

140% of 69 = ?

1.4 * 69 = $96.60

Answer: the rotational speed would be greater during a storm

Step-by-step explanation:

Rotational speed is produced by a torque on an object relative to a pivot. The stronger the wind, the stronger the torque on the anemometer. This increase in net torque would increase the angular acceleration of the anemometer, which would increase the angular velocity (rotational speed).

Answer:

" Expected Payoff " - $ 12.30

Step-by-step explanation:

Consider the steps below;

[tex]Total Number of Tickets - 200 Tickets,\\Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 200\\\\Amount Won ( First ) = 980 Dollars,\\Amount Won ( Second ) = 950 Dollars,\\Amount Won ( Third ) = 270 Dollars,\\Amount Won ( Fourth ) = 260 Dollars\\\\Proportionality ( First ) - 1 / 200 = x / 980,\\Proportionality ( Second ) - 1 / 200 = x / 950,\\Proportionality ( Third ) - 1 / 200 = x / 270,\\Proportionality ( Fourth ) - 1 / 200 = x / 260,\\\\1 / 200 = x / 980,\\200 * x = 980,\\x = 4.90,\\\\[/tex]

[tex]1 / 200 = x / 950,\\200 * x = 950,\\x = 4.75,\\\\1 / 200 = x / 270,\\200 * x = 270,\\x = 1.35,\\\\1 / 200 = x / 260,\\200 * x = 260,\\x = 1.3[/tex]

[tex]Conclusion ; " Expected Payoff " = 4.90 + 4.75 + 1.35 + 1.3 = 12.30[/tex]

Answer:

lemonade : ginger ale : pineapple juice : orange juice  

l:g:p:o = 1:3:2:4

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

p=400 ml

2=400 ml ⇒ 1= 200 ml, 3= 600 ml, 4= 800 ml

Lemonade mL :  200

Ginger Ale mL :  600

Orange Juice ML : 800

Answer:

22n

Step-by-step explanation:

Answer: 32.08%

Step-by-step explanation:

From the question, a survey of 720 adults nationwide asked, "What irks them most about the actions of other motorists? and the response "tailgaters" was given by 231 people.

The percentage of people that responded with tailgaters will be the number of people who responded with tailgaters divided by the total survey of adults asked and then multiplying by 100. This can be mathematically written as:

= 231/720 × 100

= 32.08%

Answer: a+b = 12

Los triangulos verdes son semejantes entre si por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. De igual forma los triangulos azules son semejantes por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. En general el factor de proporcionalidad de los triangulos es 1:2 siendo en ambos casos el grande el doble del pequeño. Por tanto

a+2 = 2(3)

a=4

10 = 2(b-3)

b=8

Luego a+b = 12

Step-by-step explanation:

2a+b is just greater than 2b with a

Answer:

it is longer than 1/3

Step-by-step explanation:

Answer:

5.0 rational

Step-by-step explanation:

30/6 = 5/1 =5.0

it's rational as it is a fraction

Answer:

14.29

Step-by-step explanation:

Let p be the price of the cd

we take the price of the cd plus the tax and it must be less than or equal to 15

the tax is the price of the cd times 5 %

p + p*.05 ≤15

Combine like terms

p*1.05 ≤15

Divide each side by 1.05

p ≤15/1.05

p  ≤14.28571429

Rounding to the nearest cent

p  ≤14.29

The maximum price is 14.29

Step-by-step explanation:

The equation is

X + 10205 = 21894

X = 21894 - 10205

X = 11689

Answer:

3v/h = b

Step-by-step explanation:

1/3 is a given fraction and to get rid of it you must multiply by it's reciprocal of 3/1 or 3. You will also multiply the other side by 3

3 * v = (1/3 bh) * 3     --> 3v = bh

divde both sides by h and you get 3v over h = b

3v/h = b

Hope this helps!

Answer:  

3v/h = b

Step-by-step explanation:

v = 1/3bh

3v = bh

3v/h = b

Answer:

Step-by-step explanation:

Without the variable x, your "f(x) = 3(18)*" is not a function.  If you meant

f(x) = 3(18)^x, then the domain is "the set of all real numbers," and the range is (0, infinity).

the initial value is 3:  f(0) = 3(18)^0 = 3(1) = 3

The solution is: statements accurately describe the function f(x) = 3(18)* are:

The domain is all real numbers.

The initial value is 3.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Without the variable x, your "f(x) = 3(18)*" is not a function.

If you meant

f(x) = 3(18)^x,

then the domain is "the set of all real numbers,"

and the range is (0, infinity).

the initial value is 3:  

f(0) = 3(18)^0 = 3(1) = 3

Hence, The solution is: statements accurately describe the function f(x) = 3(18)* are:

The domain is all real numbers.

The initial value is 3.

To learn more on function click:

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#SPJ7

I think,

the value of x is 90°

Answer:

A. X = 15 is the correct answer.

Step-by-step explanation:

It's the only one that really makes sense.

Hope this helped :) :)

Answer:

15

Step-by-step explanation:

Answer:

a) First graph

 The solution of the given inequalities -1 ≤ x ≤ 7

Step-by-step explanation

Given two inequalities

                             - 4 ≤ 3 x -1 ...(i)

                           2 x +4 ≤ 18 ...(ii)

From(i)

                        - 4 ≤ 3 x -1

Adding '1' on both sides , we get

                   - 4 + 1 ≤ 3 x - 1 +1

                  - 3 ≤ 3 x

Dividing '3' on both sides , we get

                 -1 ≤ x   ...(a)

From (ii)

                    2 x +4 ≤ 18

subtracting  '4' on both sides , we get

                  2 x + 4 - 4 ≤ 18 -4

                                2 x ≤ 14

dividing '2' on both sides, we get

                                 x ≤ 7 ..(b)

Now the solution of two inequalities From(a) and (b)

                             -1 ≤ x ≤ 7

Final answer:-

The graph of the two inequalities is first graph

Answer:

first graph or A

Step-by-step explanation:

took the test on edge! have a good day peeps:)

Answer:

Length of side AB = 5.6 cm

Step-by-step explanation:

From the figure attached.

In right triangle ABC,

m∠ABC = 62°

m(BC) = 12 cm

By applying Cosine rule in this triangle,

Cos62° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

Cos62°= [tex]\frac{AB}{BC}[/tex]

0.46947 = [tex]\frac{AB}{12}[/tex]

AB = 12 × 0.46947

AB = 5.63

     ≈ 5.6 cm  

Therefore, length of side AB = 5.6 cm

Length of side AB = 5.6 cm.

Since In right triangle ABC,

m∠ABC = 62°

m(BC) = 12 cm

Here we used the cosine rule

So, it is

[tex]Cos 62 = AB\div BC\\\\0.46974 = AB\div 12[/tex]

So, AB = 5.6 cm

hence, Length of side AB = 5.6 cm.

Learn more about length here: https://brainly.com/question/21676565

Answer:

25

Step-by-step explanation:

[tex]f(x)=x^3-2 \\\\f(3)=(3)^3-2= \\\\27-2= \\\\25[/tex]

Hope this helps!

Answer: 25

Explanation: Notice that f is a function of x. So we want to find f(3).

We find f(3) by plugging 3 in for x everywhere

that x appears in the function.

So we have (3)³ - 2.

(3)³ is equal to 3 × 3 × 3 or 27.

So we have 27 - 2 which is 25.

So f(3) is equal to 25.

Step-by-step explanation:

you start with 90 then 180 then270 then 360

Answer:

-1/2

Step-by-step explanation:

The line in slope-intercept form,

y = mx + b

has slope m.

In this case, m = -1/2

Slope = -1/2

Answer:

1. m=-1/2

Step-by-step explanation:

The line is given in slope-intercept form, or

y=mx+b

where m is the slope and b is the y-intercept.

Essentially, the number that is multiplied by x is the slope, and the number that is added or subtracted from the term with x is the y-intercept.

The equation of line is:

y= -1/2x+ 1/4

-1/2 and x are being multiplied (-1/2*x= -1/2x). 1/4 is being added onto the term with x (-1/2x).

Therefore, the slope must be -1/2 and the y-intercept is 1/4.

m= -1/2

b= 1/4

The slope is -1/2 and the first choice is correct.

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Work Shown:

1/500 = 0.002 is the probability of winning $390

3/500 = 0.006 is the probability of winning $230

16/500 = 0.032 is the probability of winning $170

Multiply the probabilities with their respective winnings

0.002*390 = 0.78

0.006*230 = 1.38

0.032*170 = 5.44

Then add up those results

0.78+1.38+5.44 = 7.60

which is the expected value.

Side note: This game is not a fair game because mathematically a "fair game" is defined as such where the expected value is 0; ie, neither the player nor the dealer win and things break even.

Answer: 1,024/25 or 40.96

Step-by-step explanation:

The length of one side of a square is 32/5, and all sides of a square have the same length, then all sides of the square have 32/5 as the length.

In order to get the area of the square, you need to multiply one side by another.

32/5 * 32/5 = 1,024/5 (fraction form)

32/5 = 6.4

6.4 * 6.4 = 40.96 (decimal form)