Aubree is going to invest $27,000 and leave it in an account for 10 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Aubree to end up with $39,000?

Answer:

Step-by-step explanation:

13). [tex]-\frac{q}{7}\geq -1[/tex]

     [tex]\frac{q}{7}\leq 1[/tex]

    [tex](\frac{q}{7}\times 7)\leq (1\times 7)[/tex]

      q ≤ 7

14). -12x < 60

      12x > -60

      [tex]\frac{12x}{12}>\frac{-60}{12}[/tex]

      x > -5

15). 5 > z - 3

     5 + 3 > z - 3 + 3

     8 > z

16). 0.5 ≤ [tex]\frac{y}{8}[/tex]

     0.5 × 8 ≤ [tex]\frac{y}{8}\times 8[/tex]

     4 ≤ y

Now we can draw these inequalities on a number line.

Answer:

The answer is 3,600,000,000

Step-by-step explanation:

Simply multiply 9,000,000 * 400 which equals 3,600,000,000.

Answer:

18.84

Step-by-step explanation:

Answer:

A. Homes using solar power always have lower utility bills than homes using only gas and electricity.

Step-by-step explanation:

Gas and Electricity

[tex]\bar x = 93[/tex]

[tex]\sigma = 11[/tex]

Solar

Bills: 56, 54 and 51

Required

Determine which of the statements is true

First, we calculate the mean of the given data

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{56 + 54 + 51}{3}[/tex]

[tex]\bar x = \frac{161}{3}[/tex]

[tex]\bar x = 53.67[/tex]

Then, the standard deviation

[tex]\sigma = \sqrt{\frac{\sum(x - x_i)^2}{n}}[/tex]

[tex]\sigma = \sqrt{\frac{(56 - 53.67)^2 + (54 - 53.67)^2 + (51 - 53.67)^2}{3}}[/tex]

[tex]\sigma = \sqrt{\frac{12.67}{3}}[/tex]

[tex]\sigma = \sqrt{4.223}[/tex]

[tex]\sigma = 2.05[/tex]

So, we have:

Gas or Electricity

[tex]\bar x = 93[/tex]

[tex]\sigma = 11[/tex]

Solar

[tex]\bar x = 53.67[/tex]

[tex]\sigma = 2.05[/tex]

By comparison.

The mean and standard deviation of homes using solar panel is less than home using gas and electricity.

This implies that: (a) is true.

Answer:

the second one

Step-by-step explanation:

Answer:

54 cm

Step-by-step explanation:

Perimeter = TZ + TX + RX + RY + SY + SZ

TZ = 5 cm

TX = 13 cm

RY = 9 cm

RX = TX = 13 cm (tangents drawn from and external point)

SY = RY = 9 cm (tangents drawn from and external point)

SZ = TZ = 5 cm (tangents drawn from and external point)

Plug in the values:

Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm

Answer:

x=8, y=10. (8, 10).

Step-by-step explanation:

-8x+7y=6

3x-2y=4

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

2(-8x+7y)=2(6)

7(3x-2y)=7(4)

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

-16x+14y=12

21x-14y=28

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

5x=40

x=40/5

x=8

3(8)-2y=4

24-2y=4

2y=24-4

2y=20

y=20/2

y=10

Answer:

that hard....

Step-by-step explanation:

Answer:

1300

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 1300 Is the answer! I hope this helped

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

the answer is 69/100

Answer:

[tex]f^{-1}(x) = \sqrt[3]{\frac{x -4}{5}} +2[/tex]

Step-by-step explanation:

Given

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

Required

Determine the inverse

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

Replace f(x) with y

[tex]y = 5(x - 2)^3 + 4[/tex]

Swap the positions of x and y

[tex]x = 5(y - 2)^3 + 4[/tex]

Make y the subject

[tex]x -4= 5(y - 2)^3[/tex]

Divide by 5

[tex]\frac{x -4}{5}= (y - 2)^3[/tex]

Take cube roots of both sides

[tex]\sqrt[3]{\frac{x -4}{5}}= y - 2[/tex]

Add 2 to both sides

[tex]\sqrt[3]{\frac{x -4}{5}} +2 = y[/tex]

[tex]y = \sqrt[3]{\frac{x -4}{5}} +2[/tex]

Replace y with [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x) = \sqrt[3]{\frac{x -4}{5}} +2[/tex]

Answer:

it's going to be negative

a < 5

step by step

4 - 4 = 0

9 - 4 = 5

Answer:

The last three,

2 cm, 5 cm, 6 cm

4 cm, 8 cm, 11 cm

10 in, 5 in, 13 in

As long as any two sides added together are long than the third side, it works as a triangle!

Answer:

Step-by-step explanation:

2x * 2x = 4x^2 and -11 * 11 = -121

Answer:

1/14

Step-by-step explanation:

so what was the question again?

Answer:

Step-by-step explanation:

Answer:

row 3

row 2

6 and 10

Answer:

The answers are 1( row 3 ) 2( row 2 ) 3( 6 and 10 )

Step-by-step explanation:

I got it right on edge and also the person above me is correct have a wonderful day. (✿◠‿◠)

Answer:

x=-2 and y =0

Step-by-step explanation:

2x + 3y=-4

y=2x + 4

2x -y = -4

4y= 0

y = 0

2x -0=-4

2x =-4

x=-2

Answer:

-9

Step-by-step explanation:

The city of Brussels will be the warmest. The difference in temperature between Oslo and London is -9°C and the temperature at 6:00 pm in Paris will be -2°C.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

(a)

A city which has the lowest temperature will be warmest since -1°C is the lowest so Brussels will have the warmest city.

(b)

The difference in temperature between Oslo and London will be as,

-12 °C - (-3 °C) = -9 °C.

(c)

At 6.:00 pm the temperature will be -5 °C + 3 °C = -2 °C.

Hence "The city of Brussels will be the warmest. The difference in temperature between Oslo and London is -9°C and the temperature at 6:00 pm in Paris will be -2°C".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ2

Answer:

636

8u2b4c9....°73vaultx8 3_2144,773,90=636

Step-by-step explanation:

993yuei92u83vaultx21564=636

Answer:

9.261 cm³

Step-by-step explanation:

2.1x2.1x2.1=9.261

Answer:

9.2

Step-by-step explanation:

the answer is 9.2 yo multiplu 2.1x2.1x2.1

Answer:

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

53% reported that they entered a profession closely related to their college major.

This means that [tex]p = 0.53[/tex]

9 of those survey subjects are randomly selected

This means that [tex]n = 9[/tex]

What is the probability that 3 of them entered a profession closely related to their college major?

This is P(X = 3).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348[/tex]

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Answer:

A taco cost $1 while a burrito cost $1.79

Step-by-step explanation:

This may be computed as a set of simultaneous equations

Thelma ordered 2 tacos and 1 burrito and paid $ 3.79

let the cost of a taco be t and a burrito b then

2t + b = 3.79

Louise ordered 2 burritos and 1 taco and paid . \$4.58​

t + 2b = 4.58

solve both equations simultaneously

multiply the first by 2

4t + 2b = 7.58

t + 2b = 4.58

subtract 2 from 1

3t = 3

t = 1

t + 2b = 4.58

1 + 2b = 4.58

2b = 4.58 - 1

2b = 3.58

Divide both sides by 2

b = 1.79

A taco cost $1 while a burrito cost $1.79

Answer:

Mean: 4.71

Mode: 5

Median: 5

Step-by-step explanation:

Answer:    y = 5x - 7

Step-by-step explanation:

y = mx + b, where m = slope

We plug in the point, where x = 2, and y = 3

y = 5x - b

3 = 5(2) - b

3 = 10 - b

b + 3 = 10

b = 7

y = 5x - 7