MATHEMATICS COLLEGE

Type your response in the box.Janet and Patrick are buying stuffed frogs each month to give to a charity. Pattern 1 describes Janet's collection over
the first three months. Pattern 2 describes Patrick's collection. Study both patterns, and fill in the table based on
your observations.

Answers

Answer 1

Answer:

Step-by-step explanation:

Pattern 1 :

Arithmetic Sequence

Common term = 4

Pattern 2 :

Geometric Sequence

Common ratio = 2

Answer 2

Answer:

Answer:

pattern 1 arithmetic The common difference is 4. The pattern starts at 3 and always adds 4 to get to the next term.

pattern 2 geometric The common ratio is 2. The pattern starts at 3 and always multiplies by 2 to get to the next term.

Step-by-step explanation:

Related Questions

The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.9.Required:a. What is the probability that he must stop at both signals?b. What is the probability that he must stop at the first signal but not at the second one?c. What is the probability that he must stop at exactly one signal?
Carla is going to the water slides and needs to figure out which deal is better. She can pay$31 to go on the water slides as much as she wants, or she can pay $13 to get in, plus anadditional $3 per trip down the water slides. If Carla goes on a certain number of trips downthe water slides, the two options are equivalent in terms of cost. How many trips is that?What is the cost?
3x-165=7x=105What is x?
Help! - Answer = Brainliest!Thanks!
) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station

Suppose you decide to invest in an annuity that pays 5% interest, compounded semiannually. How much money do you need to invest semiannually to reach a savings goal of $300,000 at the end of 25 years.

Answers

Final answer:

To reach a savings goal of $300,000 at the end of 25 years, you need to invest approximately $4,206.42 semiannually with a 5% interest rate compounded semiannually.

Explanation:

To calculate the amount of money you need to invest semiannually to reach a savings goal of $300,000 at the end of 25 years, you can use the formula for the future value of an annuity:

FV = P * ((1 + r/n)^(n*t) - 1) / (r/n)

Where FV is the future value, P is the amount you need to invest each period, r is the interest rate per period (5% in this case), n is the number of compounding periods per year (2 for semiannual compounding), and t is the number of years.

Inserting the given values into the formula:

FV = P * ((1 + 0.05/2)^(2*25) - 1) / (0.05/2)

Solving for P:

P = FV * (r/n) / ((1 + r/n)^(n*t) - 1)

Substituting the values:

P = 300,000 * (0.05/2) / ((1 + 0.05/2)^(2*25) - 1)

Calculating the value of P, we find:

P ≈ 4206.42

Therefore, you need to invest approximately $4,206.42 semiannually to reach your savings goal of $300,000 in 25 years.

Learn more about Calculating the amount needed to invest in an annuity to reach a savings goal here:

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Which statement correctly compares -9 and 2?

Answers

Answer:

-9<2 is a correct comparison

Select all points that are on the line through 0,5and 2,8.

4,11
5,10
6,14
30,50
40,60

Answers

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $(y_2-y_1)/(x_2-x_1)$

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = $(8-5)/(2-0)$ = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

y - 5 = 1.5(x - 0)

y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

Answer:

1, 3 and 4. I had the same question on my assignment :)

Step-by-step explanation:

Earlier we analyzed the revenue earned by the junior class at East High School from their discount card fundraiser. They hada goal to earn a profit of more than $10,000 from the fundraiser.
Since the local area businesses are supporting the fundraiser, the only cost to the students is the production cost. So, the
profit from the cards is found by subtracting the total production cost from the total revenue. Each card costs $0.20 to
produce and is sold for $20.
Select the correct answer from each drop-down menu.
If the class sold c cards, the inequality that represents their profit goal is
This year's class sold 520 cards, so they
their goal because they sold more than
cards.

Answers

Approximately 520 cards actually sold this year in the class, more than 505, have fulfilled their objective.

According to the question,

If the students sell c cards the,

The total revenue,

The total production costs,

0.2c

The inequality of profit, or income, which is less than 10 thousand dollars represents their objective, such as:

→ $20c-0.2c>10,000$

→ $19.8c>10,000$

→ $c > (10,000)/(19.8c)$

→ $c> 505.05$

or,

→ $c>505$

The class had to sell more than 505 cards just to meet their goals.

Thus the above answer is right.

Learn more:

brainly.com/question/8846865

Answer:

Sample Answer for Edmentum

At the "cloth for you" shop, you can buy a top for £10.00 and a Bermuda trouser for £12.00. Due to a sensational sell, there is a 20% discount on all tops. If you buy one top and two Bermuda trousers, how much money do you spend in total?

Answers

Answer:

£32 in total for the top and two trousers

Step-by-step explanation:

The price for a top In the "cloth for you" shop= £10

The price for a bermuda trouser In the "cloth for you" shop= £12

There is a 20% discount on tops

The price If I bought one top and would trouser will be

(10-(0.2*10)) for the top

2(12) for the trouser

Total= (10-(0.2*10))+ 2(12)

Total = 10-2+24

Total = £32

So I spent £32 in total for the top and two trousers

which polynomials are in standard form? A. t^4-1 B. -2t^2+3t+4 C. 4t-7 D. None of The Above Choose all answers that apply

Answers

Answer:

B. -2t^2+3t+4

Step-by-step explanation:

The standard form as

ax^2 + bx + c

Option B meets that requirement, even though it has a '-' in front

Final answer:

All the given polynomials, A. t^4-1, B. -2t^2+3t+4 and C. 4t-7 are in standard form since their terms are written in descending order of their degrees.

Explanation:

In mathematical terms, a polynomial is in standard form if its terms are written in descending order of their degree, i.e. the power of the variable. This means the term with the highest power should be listed first, followed by the term with the next highest power, and so on. Let's look at the options:

Option A: t^4-1 is in standard form because t^4 is the highest degree term and it is listed first.
Option B: -2t^2+3t+4 is also in standard form as the terms are arranged in descending order of degree: 2 (in t^2), 1 (in t) and then 0 (in 4).
Option C: 4t-7 is in standard form as well, with the degree of the term 4t being 1 and the degree of -7 being 0.

So, in conclusion, the polynomials in standard form from the provided options are A. t^4-1, B. -2t^2+3t+4 and C. 4t-7.