Consider a related scenario where you can invest $2000 in a savings account that has either a simple interest rate of 4.5% per year or $2000 at a compound interest rate of 4% per year.

Answer:

5% I think

Step-by-step explanation:

Its mostly just a guess but I think its 5%

The probability that it is neither diet nor caffeine-free is 0.13.

Probability is the likeliness of an event to happen.

The number of total sodas = 100

The number of diet soda = 65

The number of Caffeine free sodas = 30

The number of caffeine free sodas out of diet sodas = 22

The number of soda that are neither caffeine nor soda is 100 -65-22 = 13

The probability that it is neither diet nor caffeine-free is 13/100 = 0.13

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Answer:

[tex]d = 2\sqrt{145}[/tex]

Step-by-step explanation:

Use the Distance Formula to help you determine the distance between the two following points ( [tex](-12, 1)[/tex] and [tex](12, -1)[/tex] ):

-Distance Formula:

[tex]d = \sqrt{(x_{2} - x_{1}) ^2 + (y_{2} - y_{1})^2}[/tex]

(where [tex]( x_{1}, y_{1})[/tex] represents the first point, and [tex](x_{2}, y_{2})[/tex] represents the second point)

-Apply the following points to the equation:

[tex]d = \sqrt{(12 + 12) ^2 + (-1 - 1)^2}[/tex]

[tex]( x_{1}, y_{1})[/tex] = [tex](-12, 1)[/tex]

[tex](x_{2}, y_{2})[/tex] = [tex](12, -1)[/tex]

-Solve the equation:

[tex]d = \sqrt{(12 + 12) ^2 + (-1 - 1)^2}[/tex]

[tex]d = \sqrt{(24)^2 + (-2)^2}[/tex]

[tex]d = \sqrt{576 + 4}[/tex]

[tex]d = \sqrt{580}[/tex]

[tex]d = 2\sqrt{145}[/tex]

Therefore, the distance is [tex]2\sqrt{145}[/tex].

Answer:

1/4

Step-by-step explanation:

The probability that the number rolled is 3 is, 1/4.

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;

A die is tossed.

And, The number rolled is greater than 2.

Here, The number rolled is greater than 2.

Hence, Total outcomes are 3, 4, 5, 6

So, The probability that the number rolled is 3 is,

⇒ 1 / 4

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Hey there!☺

[tex]Answer:\boxed{\text{True Solutions}}[/tex]

[tex]Explanation:[/tex]

[tex]2x+8=2(x+4)[/tex]

All of them are true solutions because 2x + 8 is equal to 2(x+4) which shows that is a true solution. So they are all true solutions.

Hope this helps!

Answer:

no

Step-by-step explanation:

because when lines are perpendicular, the angles are 90 degree angles.

Answer:

Step-by-step explanation:

You need to translate these into a common rate.

feet / second is probably the best one.

Whippet: 50/1 = 50 feet / second.

Ostrich: 40 miles/ hour = 40 *[ 1 hour/3600 sec] * [5280 feet / mile] = 58.67 ft/sec

Giraffe: 1/2 mile / minute * [1 minute/60 sec]*[5280 feet/mile] = 1/2 * 5280/60 = 44 feet/second

Cat: 15 yards / sec [ 3 feet/ yard] = 45 feet / second

Looks like the Ostrich is the fastest.

Answer:

oh i have done these before but this one is a little confusing bc i got 2 answers B or C

there is a theory that says since we think it's wet that it gives the feeling so try thinking dryness when u feel water on your skin to see if water I'd actually wet

Answer:8

-11+19 (absolute value)

Add the opposite

19-11=8

Keep the sign of the greater absolute value in this case the greater value is ninteen but it can be the negitive.

So your answer is eight (8)

Step-by-step explanation: see above

Answer:

A   x < 3

Step-by-step explanation:

[tex]\frac{5(9-x)}{3} + 1 < 11[/tex]

[tex]\frac{5(9-x)}{3} < 11 - 1[/tex]

[tex]\frac{5(9-x)}{3} < 10[/tex]

5(9-x) < 10*3

5(9-x) < 30

9-x < 30/5

9-x < 6

-x < 6 - 9

-x < -3

x < 3

Answer:

Step-by-step explanation:

f(x) = 2x + 5

f(-6)= 2(-6) + 5 = -12 + 5 = -7

Answer:

0.07 ibelive hope this helps

Step-by-step explanation:

Answer:

The answer is -96

Step-by-step explanation:

First, you need to think of the question as a normal multiplication question. When there is a number in parenthesis next to a number with no symbol in between, that means multiplication. So multiply 8 with 12. This would equal 96. Since the sign of the greater number is negative, you would put a negative sign before the number 96, giving you the answer -96.

I hoped that helped! You are welcome! :)

Answer:

Option A:

x=20 and y=120

Answer:

A. 20, 120

Step-by-step explanation:

[tex](4x - 20) \degree = 3x \degree..(vertical \: \angle 's) \\ 4x - 20 = 3x \\ 4x - 3x = 20 \\ \huge \orange { \boxed{x = 20}} \\ \\ 3x \degree + y \degree = 180\degree .. (straight \: line\:\angle 's) \\ 3 \times 20 \degree +y \degree = 180 \degree \\ 60 \degree + y \degree = 180 \degree \\y \degree = 180 \degree - 60 \degree \\y \degree = 120 \degree \\ \huge \red { \boxed{y = 120}}[/tex]

Steps to solve:

3 + 9 * 7 - 8 / 2

~Multiply

3 + 63 - 8 / 2

~Divide

3 + 63 - 4

~Add

66 - 4

~Subtract

62

Best of Luck!

Answer:

8/54 or 4/27

Step-by-step explanation:

(8/9)/6 =

8/9 ÷ 6 when divide turn the division sign into multiplication and flip the second fraction ( reciprocal))

8/9*1/6 = 8/54  if simplified =4/27

Answer:

4/27

Step-by-step explanation:

8/9 ÷ 6 = 4/27

Answer:

-6<x<9 is the right option.

Answer:

the width is 2.9

Step-by-step explanation:the perimeter is found by L+W+L+W. Each L is going to be the same length and each width is going to be the same length since its a rectangle.

Double the length. 8.3+8.3= 16.6

Then subtract that from the perimeter. 22.4-16.6= 5.8

Then divide 5.8 as that is the total of the two missing sides. 5.8/2= 2.9

Then 2.9 is your answer. Hope that helps.

Answer:

I thin its B

Step-by-step explanation:

I took the quiz. I hope this helps! sorry if it wrong :)

Answer:

4n-8

Step-by-step explanation:

With n representing the unknown number.

The expression that represents "8 less than the product of 4 and a number" will be 4n - 8.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Translate this phrase into an algebraic expression. 8 less than the product of 4 and a number.

Let the number be n.

Then the product of 4 and n will be 4n.

Then the expression that represents "8 less than the product of 4 and a number" will be

4n - 8

The expression that represents "8 less than the product of 4 and a number" will be 4n - 8.

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Answer:

c- Division property of equality

Step-by-step explanation:

You would subtract 7x from the other side

Then divide by 8 to get x by itself.

Answer:

5) x=3 6) x=9 7) x=12 8) x=9

Step-by-step explanation:

Answer:

185/9

Step-by-step explanation:

20 5/9

Multiply 20 by the 9 (the denominator), and you''ll get 180.

Add the 5 (the numerator) to 180, and you'll get 185.

Then, place 185 over the denominator which is 9 and you get 185/9!

Answer:

[tex]\frac{185}{9}[/tex]

Step-by-step explanation:

This is the answer because:

1) The formula of changing mixed fractions to improper fractions is denominator times the whole number plus the numerator

2) Denominator = 9

Whole number = 20

Numerator = 5

9 x 20 + 5 = 185

Therefore, the answer is [tex]\frac{185}{9}[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

y + 2 = 1/7(x - 7)

y + 2 = 1/7x - 1

y = 1/7x - 3

A is the answer

Answer:

44%

Step-by-step explanation:

Suppose the original number is 100.

It is increased by 20 %, so the result will be 120.

The resulting number is again increased by 20%, which is increased by 120 *20/100, which is increased by 24. The final result will be 120+24 that is 144.

The final result is increased by 44 compared to the original number 100.

So, increase by 44%.