Lila plans to open an account with a deposit of $12,000. She plans to invest the money for 8 years in one of the following accounts:
An account that pays an annual simple interest of 7.5%, or
An account that pays 6% interest compounded annually.
If Lila invests in the account that will earn her more interest over these 8 years, how much interest will she earn?

Area = 85ft²

To find the area of the given square you can use the following equation

[tex]Area = Side^2\\Area = 8^2\\Area = 64[/tex]

To find the missing side of the given triangle, you will have to use Pythagorean's theorem

[tex]Short^2 + Long^2 = Hypotenuse^2\\Short^2 + 8^2 = 10^2\\Short^2 + 64 = 100\\Short^2 = 100 - 64\\Short^2 = 36\\Short= \sqrt{36} \\Short= 6 \\[/tex]

Now that we know what both sides are we can use the following equation to get the area of the triangle

[tex]Area = \frac{Side*Side}{2} \\Area = \frac{6*8}{2} \\Area = \frac{42}{2} \\Area = 21 \\[/tex]

After that, we can add both areas together and get the following

[tex]21+64=85[/tex]

Answer:

See Annex   In blue feasible region ( using Geogebra)

Step-by-step explanation:

Table 1.-

                                         Assembling hours           finishing hours

Product (tables)  x                         8                                    2

Product ( chairs)  y                         2                                    1

Availability                                  400                                  120

Constrains:

1.-Availability of assembling hours  400

8*x   +  2* y    ≤  400

2.-Availability of Finishing hours

2*x  + 1*y  ≤  120

3.-General constraints

x ≥ 0    y  ≥  0   integers

Answer:

The simple interest is 10,150.00 The compound interest is $10,150.56

Step-by-step explanation:

Answer:

Result = 124.6

Step-by-step explanation:

If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit. Example

124.58

The first number of right of decimal point is 5

The second digit after decimal point is 8 which is greater than 5

So add 1 to 5

Result = 124.6

Answer: 4.330747

Step-by-step explanation: Hoped this helped:))

Answer:

4.330747

Step-by-step explanation:

Answer:

0.070198..

Step-by-step explanation: its an on going number so make sure to put the line on top on the 0198

Answer:

48 feet

Step-by-step explanation:

Use the equation: volume of a cone = 1/3 ×(height × radius ^2)

After finding the radius, multiply it with 2 to get the diameter

Answer:

approximately

1623.6

Step-by-step explanation:

16 1/2%=.165 which is approximately equal to 1/6, so we can just multiply the original number by 6.

This is the answer. I hope it helps!

Answer:

Step-by-step explanation:

Answer:

A) Alternative hypothesis; Ha: p_o > ⅔

B) Null hypothesis;

H0: p_o = ⅔

C) There is sufficient evidence to support the claim that the community screening programme was effective

D) p-value = 0

Its less than the significance value and so we will reject the null hypothesis and conclude that the community screening programme was effective

Step-by-step explanation:

A) We are told that ⅓ of those diagnosed eventually die of the disease. Thus, ⅔ is the fraction that will survive the disease.

Thus, the null hypothesis is;

H0: p_o = ⅔

We are told that a screening programme was started to increase the survival rate. Thus,the alternative hypothesis is;

Ha: p_o > ⅔

B) null hypothesis is;

H0: p_o = ⅔

C) 164 out of the 200 women selected survived the disease.

Thus sample proportion is;

p^ = 164/200

p^ = 0.82

For the z-score value, we will use the formula;

z = (p^ - p_o)/√((p_o(1 - p_o)/n)

Now, p_o = ⅔ = 0.67

Thus;

z = (0.82 - 0.67)/√((0.67(1 - 0.67)/200)

z = 4.51

From online p-value from z-score calculator, we have p-value ≈ 0

This is less than the significant level of 0.05 and therefore we will reject the null hypothesis and conclude that the community screening program was effective.

D) p-value ≈ 0

Reject the null hypothesis

Answer:

i think is b sorry if im wrong

Answer:

-11 :)

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

Answer:

0.50

Step-by-step explanation:

just did it

Answer:

4

Step-by-step explanation:

CHOOSE 1 GOVERNOR

CHOOSE 1 LIEUTENANT GOVERNOR

CHOOSE 1 STATE HOUSE REP'.

CHOOSE 1 SENATOR

     =4 DIFFERENTNT WAYS.

Answer:

4- 3a .............................

Answer:

C is the answer

Step-by-step explanation:

Its An experimental study that is a statistical study because it provides the researcher drawing back statistics from the children and its experimental because its based off of an experiment

Option C is correct, an experimental study that is a statistical study.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that a researcher provides 10 children $100 each and another 10 children $20 each. She tracks how they decide to spend the money.

We need to check the statement which best describes the type of study the researcher is doing.

An experimental study that is a statistical study because it provides the researcher drawing back statistics from the children and its experimental because its based off of an experiment

Hence, Option C is correct, an experimental study that is a statistical study.

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The domain of this function is n ≥ 1, where n is the round of the tournament.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

The explicit rule for T(n), the number of games in the nth round of the tournament is 2ⁿ⁻¹. The domain of this function is n ≥ 1, where n is the round of the tournament.

Since all teams play in the first round, the number of games in the first round (n = 1) is 2¹⁻¹, which is equal to 1. As the rounds progress, the number of games in each round is doubled. T

herefore, the number of games in the second round (n = 2) is 2²⁻¹, which is equal to 2. The number of games in the third round (n = 3) is 2³⁻¹, which is equal to 4.

This pattern continues for each round, as the number of games in the nth round is 2ⁿ⁻¹.

Therefore, the domain of this function is n ≥ 1, where n is the round of the tournament.

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Answer:

down 4 and over 7 so 11

Step-by-step explanation:

Answer:

125 degrees for 540 degrees total

Step-by-step explanation:

Answer:

125° is the missing angle.

Step-by-step explanation:

Sum of all angles in a quadrilateral is 360°.

180°+55°+X°= 360°

235° + x = 360°

x = 360°-235°= 125°

x = 125°

Answer: V=120

have an amazing day <3

Answer:what is the answer i dont understand

plz help

Answer:

5x²

Step-by-step explanation:

because polynomials are the expressions where many terms are involved

The volume of the given cone is 718.01 square feet. Therefore, option H is the correct answer.

The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter. The volume of a cone formula is 1/3 πr²h.

Given that, radius of a base of cone is 7 feet.

A height of a cone equal to its diameter = 7×2 = 14 feet

Here, volume of a cone = 1/3 ×3.14×7²×14

= 718.01 square feet

Therefore, option H is the correct answer.

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From the given scatter plot it is a positive trend.

We need to describe the trend of given scatter plots.

A scatter plot shows a positive trend if y tends to increase as x increases. A scatter plot shows a negative trend if y tends to decrease as x increases. A scatter plot shows no trend if there is no obvious pattern.

Here, from the given graph it is a positive trend.

Hence, from the given scatter plot it is a positive trend.

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Answer:

B

Step-by-step explanation:

B is the best choice because the sample is random and represents a small portion of the entire school. The other choices are targeted for a specific group that wouldn't represent all students.

Answer:

B

Step-by-step explanation:

Answer: Constant.

The graph does not have an incline and therefore has a slope of 0. This means that the graph is constant.