MATHEMATICS HIGH SCHOOL

P (1+r)^n $750 at 7% for 9 years compounded annually
Total amount=
Interest amount=

Answers

Answer 1
Answer:

Answer with Step-by-step explanation:

Total amount = P(1+r)^n

Here, P=$750

r=7/100=0.07

n=9

Total amount=

750(1+0.07)^9\n\n=750* 1.07^9\n\n=\$ 1378.8

Interest amount=Total amount-Initial amount

                         =1378.8-750

                        = $628.8

Hence,

Total amount=

$1378.8

Interest amount=$628.8
Answer 2
Answer: A = 750(1+0.07)^9
A = $1378 

$1378 - $750 = $628

total amount = $1378 
interest amount = $628

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Ann works in a supermarket for $10.00 per hour. If her pay is increased to $12.00, then what is her percent increase in pay ?

Answers

The percentage is the change with respect to the original thus the percentage increase in her pay will be 20%.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicatinghundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Originalamount = $10

Increased pay = $12

% increase = (12 - 10)/10 x 100

⇒ 20%

Hence "The percentage is the change with respect to the original thus the percentage increase in her pay will be 20%".

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20% increase in her pay 

Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.In which step did Tran first make an error?

Step 1
Step 2
Step 3
Step 4

Answers

The following steps of solving for the roots of 2x² - 4x -3 = 0 were retrieved from another source Step 1 2x² - 4x = 3 Step 2 2(x² - 2x) = 3 Step 3 2(x² - 2x + 1) = 3 + 1 Step 4 2(x - 1)² = 4 From this, we can see that on Step 3, Tran made a mistake of adding 1 to 3. As we can see, 2(x² - 2x + 1) = 2x² - 4x + 2. That means, instead of adding 1, it should have been 2. Therefore, the step that Tran first made an error is Step 3.

The solution to the quadratic equation 2x² - 4x - 3 = 0 is given as x = 1 ± √5/2

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the quadratic equation:

2x² - 4x - 3 = 0

Using completing the square, add 3 to both sides:

2x² - 4x - 3 + 3 = 0 + 3

2x² - 4x = 3

Divide through by the coefficient of x²:

x² - 2x = 3/2

Add to both sides the square of half the coeficient of x:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 5/2

x = 1 ± √5/2

The solution to the quadratic equation 2x² - 4x - 3 = 0 is given as x = 1 ± √5/2

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In order to prove a conjecture is always true, you must show? A.) a formal proof
B.) a counterexample
C.) several true examples
D.) an informal proof

Answers

In order to prove a conjecture is always true is formal proof.

We have given that,

A.) a formal proof

B.) a counter-example

C.) several true examples

D.) an informal proof

We have to prove a conjecture is always true

In order to prove a conjecture is always true, you must show formalproof.

What is the conjecture?

A conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof.

Therefore the first option is correct.

In order to prove a conjecture is always true is formal proof.

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Answer: A- a formal proof

Step-by-step explanation:

just is

Welcome to another new game show, “Spinning for Luck!” As a contestant, you will be spinning two wheels. Each wheel is divided into equal sectors. The first wheel determines a possible dollar amount that you could win. The second wheel is the “multiplier”. You will multiply the results of your spins to determine the amount you will win. Unfortunately, you could owe money if your multiplier lands on –2!a. What is the probability of winning $100 or more?
b. What is the probability of owing $100 or more?

Answers

Final answer:

The probability in the game show 'Spinning for Luck!' depends on the sector division of each wheel and the range of dollar amounts and multipliers. To calculate, find combinations resulting in the desired outcomes and divide by total combinations.

Explanation:

The subject of this question is probability. It's difficult to answer directly since we do not have enough data. However, let's take an example. If each wheel has 10 sectors with equal chance of landing, and let's suppose the dollar amounts are from $10 to $100(increment of $10) and multipliers are from -2 to 8. To win $100 or more, in this setup, the first wheel needs to land on a $50 (and multiplier 2), a $20 with multiplier of 5, and so on. The amount of combinations resulting in $100 or above would need to be calculated and divided by the total amount of combinations (100).

Also, to owe $100 or more, we need  to be unlucky enough to land on -2 multiplier, and amount more than $50. Again, we calculate combinations and divide by total combinations.

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Answer a ) 25%

Answer b ) 8.33%

The following formula can be used to determine the likelihood of both winning and owing $100 or more:

a. ) Chance of winning at least $100:

On the first wheel, there is a 2/6 = 1/3 chance of landing in a sector that equates to $100 or more.

On the second wheel, there is a 3/4 chance of landing on a multiplier other than -2.

The odds of both happening are (1/3) * (3/4) = 1/4 or 0.25.

The likelihood of earning $100 or more is thus 0.25, or 25%.

b. ) Likelihood of having at least $100 in debt:

The odds of landing on a sector with a value on the first wheel that is less than or equal to -$50 are 2/6 = 1/3.

A landing on a -2 multiplier on the second wheel has a 1/4 chance of happening.

1/12, or 0.08333, is the likelihood that both occurrences will occur (1/3) * (1/4).

Thus, the likelihood of owing $100 or more is 0.08333, or around 8.33%.

Therefore the final answer is 25% and 8.33%.

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Select the correct answer. Gary throws a parachute toy from the roof of a building which has a height of 96 feet. The toy reaches its maximum height of 100 feet after 2 seconds, and it hits the ground after 12 seconds. Which of the following graphs represents the height of the toy?

Answers

Answer:

Z

Step-by-step explanation:

The height needs to start at 96

The quotient of twice a number t and 12

Answers

2t/12 would be your expression.
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