Dwight deposits $150 into his new savings account. The account earns 5% interest compounded annually.

Write a function to model the amount in his account, A, over t years, assuming he makes no other deposits or withdrawals. Write your function in the form A=P(1 +r)^t

2Points
Use the math editor to write your function.

Answer the question in complete sentences.

Hint:

P is the initial amount in the account.
Change the interest rate from a percent to a decimal by moving the decimal 2 places to the left and substitute this number in for r.

Marginal frequency:

The number in the end column or row - "Total".

Joint frequency:

The ratio of the frequency in a particular category and the total number of data values.

Basically, the values that aren't in the final row or column - "Total".

The number of students who are in 9th grade and play two or more sports is a  joint frequency.

This is only asking for the students in 9th grade who play two or more sports.

The number of students who are in the 11th grade is a  marginal frequency.

This is asking for the total number of students in 11th grade.

The percentage of the student body that plays one sport is a  marginal relative frequency'.

This is asking for the total number of students who play 1 sport.

The percentage of the student body that are in 12th grade and do not play a sport is a  joint relative frequency.

This is only asking for the students in 12th grade and don't play sports.

Answer:

The answer is D on edge

d × 3.14

18 ×3.14

c=56.52

Answer:

B

Step-by-step explanation:

Chords which intersect have segments whose products are equal. This means the chord with lengths 5 and x has a product 5x. It is equal to the the other chords lengths 5.1 and 9 as a product 5.1*9.

5x = (5.1)(9)

5x = 45.9

x = 9.18

9.18 rounds to the tenth place as 9.2

To round 387,530 to the nearest hundred, we leave the hundreds digit unchanged because the tens digit is 3, which is less than 5. The rounded number is therefore 387,500.

To round the number 387,530 to the nearest hundred, we look at the tens digit, which is 3.

The rounding rule states that if the digit to the right of the rounding place is less than 5, you do not change the rounding digit. If it is 5 or more, you round up. Since the tens digit is 3, it is less than 5, hence we do not round up.

The hundreds digit is 5, and because we do not round up, 387,530 rounded to the nearest hundred is 387,500.

Remember, rounding off to a certain place involves looking at the digit immediately to the right of the place you are rounding to.

Deciding whether to round up or keep the original number the same is based on whether this digit is less than or equal to 4, or 5 and above respectively.

[tex] {p}^{2} q + {r}^{2} - pqr - pr \\ = pq(p - r) - r(p - r) \\ = (pq - r)(p - r)[/tex]

Answer:

(p - r)(pq - r)

Step-by-step explanation:

P = p²q + r² – pqr – pr  

Rewrite the equation in descending orders of p and increasing orders of r.

P = p²q - pqr - pr + r²

Factor the first two and the last two terms

P = pq(p - r) - r(p - r)

Remove the common factor

P = (p - r)(pq - r)

Answer:

[tex]\large\boxed{(x^2+43x+10)-(10x^2-5x+10)=-9x^2+48x}[/tex]

Step-by-step explanation:

[tex](x^2+43x+10)-(10x^2-5x+10)\\\\=x^2+43x+10-10x^2-(-5x)-10\\\\=x^2+43x+10-10x^2+5x-10\qquad\text{combine like terms}\\\\=(x^2-10x^2)+(43x+5x)+(10-10)\\\\=-9x^2+48x[/tex]

Hi, sorry i couldn't understand the format of the question, could you post a picture of the question please?

Neither do I understand the format, what is the numbers involved? or a picture please

Answer: 4.5

Step-by-step explanation:

11.4-6.9=4.5

Answer:

h = 4.5

Step-by-step explanation:

You would do 11.4 - 6.9, which would equal 4.5.

Answer: = [tex]\frac{17}{18}[/tex]

Step-by-step explanation:

* Hopefully the work below helps:) Mark me the brainliest if this was helpful:)

Answer:  The perimeter of each book is:  " 36 in. " .

__________________________________________________

Step-by-step explanation:

__________________________________________________

Note that the given units are all in "inches (in.)" .

Use the formula for the "perimeter of a rectangle" ;

{which happens to work for a "square" as well;

          since a "square" is a rectangle.}.

__________________________________________________

This is based on the assumption that the book is shaped like a

"rectangle"  (or "square" —which is a rectangle).

__________________________________________________

The formula for the Perimeter of a rectangle is:

  P = 2 L  + 2 w  ;

in which:

P =  the perimeter of the rectangle;

for which we shall solve;   [in "inches (in.)" ] ;

L =  the length of the rectangle = 10 in. (given) ;

w = the width of the rectangle = 8 in. (given) .

___________________________________________________

Now, plug the given values for the "length (L)" and the "width (w)" ;

 as follows:

___________________________________________________

    P = (2 * 10 in.)  +  (2 * 8 in.)  ;

    P = (20 in.)  +  (16 in.)  ;

   P = 36 in.

___________________________________________________

Answer:  The perimeter of each book is:  " 36 in. " .

___________________________________________________

Hope this helps!

    Best wishes in your academic pursuits

            — and within the "Brainly" community!

___________________________________________________

Answer:

3

Step-by-step explanation:

Let's get the variable y on the left side only and the constants on the right side only.  To do this, add y to both sides.  

This results in 2y = 6, and so y = 3.

Answer:

B

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

This can be solved by writing 2 equations and solving simultaneously.

Let number of Adult tickets be A, and number of child tickets be C.

"Bob bought 24 hockey tickets":

[tex]A+C=24[/tex]

"Adult tickets cost $5.50, and child tickets cost $2.00...Bob bought 24 hockey tickets for $83":

[tex]5.5A+2C=83[/tex]

Now we can solve the first equation for A and substitute in 2nd equation and get the value of C.

A + C = 24

A = 24 - C

Now,

5.5 A + 2 C = 83

5.5 (24 - C) + 2C = 83

132 - 5.5C + 2C = 83

-3.5 C = 83 - 132

-3.5C = - 49

C = 14

Hence, Bob bought 14 child tickets

Answer:

-4

Step-by-step explanation:

Cube Root is an odd number so your answer will still be negative in the end. 4x4x4= 64 so cube root 64 will be -4

Jessica purchased 12 pieces of sweets for $7.8. Use multiplication, In mathematics, one finds the product of two or more numbers.

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 12x 65 = 780 are the numbers 12 and 65, and the product is the number780.

Detailed explanation:

Using the formulas 12•65 or 12x65 = 780

Step-by-step explanation: The solution is 780 if you enter 12•65 or 12x65=78. ie , $7.8.

Jessica purchased 12 pieces of sweets for $7.8.  

To learn more about Multiplication refer to:

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Final answer:

To find the total cost of the candy Jessica bought, we multiply the quantity (12 pieces) by the price per piece ($0.65) to get a total of $7.80 spent.

Explanation:

Jessica bought 12 pieces of candy at the store for $0.65 each. To find out how much she spent in all on the candy, we simply multiply the number of pieces of candy by the price per piece.

Using the equation:
total cost = (number of pieces) × (price per piece),
we get:
total cost = 12 × $0.65.

By doing the multiplication, we find that:
total cost = $7.80.

Therefore, Jessica spent $7.80 on the 12 pieces of candy.

Answer:   256

Step-by-step explanation:

x² + 6x - 55 = 0

The values under the radical are: b² - 4ac

(6)² - (4)(1)(-55)

= 36 - (-220)

= 36 + 220

= 256

Simplifying

4.5x + -7 = 20

Reorder the terms:

-7 + 4.5x = 20

Solving

-7 + 4.5x = 20

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + 4.5x = 20 + 7

Combine like terms: -7 + 7 = 0

0 + 4.5x = 20 + 7

4.5x = 20 + 7

Combine like terms: 20 + 7 = 27

4.5x = 27

Divide each side by '4.5'.

x = 6

Simplifying

x = 6

whoops my mistake next time please explain more...

Answer:

D) 5/2 divided by 8/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: True.

Step-by-step explanation: For this to be true, then:

[tex]9^2+40^2(=?)41^2[/tex]

[tex]81+1600 (=?) 1681[/tex]

[tex]1681=1681[/tex]

Yes, the ramp is indeed a right triangle.

Final answer:

The triangle with sides of 9 inches, 40 inches, and 41 inches is a right triangle, as it satisfies the Pythagorean theorem (9² + 40² = 41²).

Explanation:

A student asked if a ramp with a triangular cross-section and side lengths of 9 inches, 40 inches, and 41 inches is a right triangle. To determine this, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

For the triangle in question, if we square each of the side lengths and add the squares of the shorter sides, we should get the square of the longest side if it is indeed a right triangle:

Then add the squares of the two shorter sides:

81 + 1600 = 1681

Since 1681 equals 41², the triangle with sides of 9 inches, 40 inches, and 41 inches satisfies the Pythagorean theorem, confirming it is a right triangle.

Answer:

Helio is 53.2 feet from the kite ⇒ the last answer

Step-by-step explanation:

* Lets change this story problem to a trigonometry problem

- Assume that there is a triangle joining between the

 kite, Farimah and Helio

- The name of the triangle is KFH, where K position of the kite,

 F position of Farimah and H is the position of Helio

∵ Farimah and Helio are standing 15 feet apart from each other

∴ FH = 15 feet

∵ Farimah is flying the kite on a 57 feet string at an angle

 of 68 with the ground

∴ FK = 57 feet

∴ m∠KFH = 68°

∵ We need to know that Helio is how far from the kite

∴ We need to calculate the length of KH

* Now lets find the best way to find the length of KH

 using the trigonometry

- We have the length of two sides and the measure of the included

 angle between them , then the best way is the cosine Rule

* Lets explain the cosine rule:

- In ΔABC:

∵ a is the length of the side opposite to ∠A ⇒ a is BC

∵ b is the length of the side opposite to ∠B ⇒ b is AC

∵ c is the length of the side opposite to ∠C ⇒ c = AB

∴ a² = b² + c² -2bc × cos(A)

∴ b² = a² + c² -2ac × cos(B)

∴ c² = a² + b² -2ab × cos(C)

* We will use the rule in our problem to find HK

∵ FH is k , HK is f , KF is h

∴ f² = h² + k² - 2hk × cos(F)

∵ h = 57 feet , k = 15 feet , m∠F = 68°

∴ f² = (57)² + (15)² - 2(57)(15) × cos(68) = 2833.4227

∴ f = √2833.4227 = 53.2 feet

* Helio is 53.2 feet from the kite

Answer:

$45

Step-by-step explanation:

To find the discount price, you make the discount a decimal and multiply, like so

.8x=36

then divide and your answer is 45

Answer:

16

Step-by-step explanation:

-1.6*.5*-20

=-.8*-20

=-4/5*-20

=16

Answer:

16

Step-by-step explanation:

Final answer:

To add fractions 1/9 and 5/6, find the least common denominator, which is 18, and then add the numerators of the equivalent fractions with the same denominator. The sum is 17/18, a simplified fraction.

Explanation:

To add fractions with different denominators, you must first find a common denominator. For the fractions 1/9 and 5/6, the least common denominator is 18. Multiply each fraction by a form of 1 that will give them this new denominator without changing their value.

For 1/9, you multiply it by 2/2 to get 2/18. For 5/6, you multiply it by 3/3 to get 15/18. Now that the fractions have the same denominator, you can add the numerators together: 2/18 + 15/18 equals 17/18. Since 17/18 is less than 1, it is already simplified and there is no mixed number to write.

Answer:

it could be 20 30 and 25

Step-by-step explanation:

Final answer:

To factor 1/7 out of 1/7x+46/7, you can factor it out of each term separately and then combine like terms.

Explanation:

To factor 1/7 out of 1/7x+46/7, you can factor it out of each term separately. So you would have:

1/7(1/7x) + 1/7(46/7)

Simplifying each term gives us:

1/49x + 1/49(46)

Finally, you can combine like terms to get the answer:

1/49x + 46/49

To simplify we can collect like terms so we get -1.7f-18 :)

Answer:

Hence, the number of ways of doing so is:

                                780 ways.

Step-by-step explanation:

We know that if we have to choose r items out of a total of 'n' items then the number of ways of doing so is calculated by the formula of combination as:

                             [tex]n_C_r[/tex]

which is given by:

[tex]n_C_r=\dfrac{n!}{r!\times (n-r)!}[/tex]

Here we have to chose 2 books out of a shelf of 40 books.

i.e. we have: n=40 and r=2

Hence, the number of ways of doing so is:

[tex]{40}_C_{2}=\dfrac{40!}{2!\times (40-2)!}\\\\\\{40}_C_2=\dfrac{40!}{2!\times 38!}\\\\\\{40}_C_2=\dfrac{40\times 39\times 38!}{2!\times 38!}\\\\\\{40}_C_2=\dfrac{40\times 39}{2}\\\\\\{40}_C_2=780[/tex]

            Hence, the answer is:

                   780

In mathematics, the concept of combinations is used when selecting items from a larger group where order doesn't matter. Using the combination formula, we find that there are 780 ways to select 2 books from a shelf of 40 books.

The question pertains to the concept of combinations in mathematics. When you're selecting items, such as books, from a larger group and the order in which you select them doesn't matter, you are dealing with combinations. In this case, you are choosing 2 books from a selection of 40, and the order in which you select them doesn't matter.

To solve this, we use the combination formula nCr = n! / [(n-r)! r!], where 'n' represents the total number of items, 'r' is the number of items to choose, and '!' denotes factorial. In this scenario, n = 40 (total number of books) and r = 2 (number of books to select).

So, substituting these into the formula, we get 40C2 = 40! / [(40-2)! 2!] = (40*39) / (2*1)= 780.

Therefore, there are 780 ways to select 2 books from 40.

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Regroup terms

2q - 7 = 4

Add 7 to both sides

2q = 4 + 7

Simplify 4 + 7 to 11

2q = 11

Divide both sides by 2

q = 11/2

Answer:

$39

Step-by-step explanation:

65 x .40 = 26

65 - 26 = $39

Answer:

$39

Step-by-step explanation:

1st multiply: 0.40 * 0.100= 0.400

2nd multiply: 0.400 * $65 = $26 (how much you saved)

3rd subtract: $63 - $26= $39 (which is the cost of the sneakers)