Suppose your parents agree to pay you
one cent today, two cents tomorrow (the first day after today), four cents the next day (second day after today), and so forth. Each time they double the amount they pay you. Write an equation expressing amount paid in terms of number of days after today. What kind of function is this? How much will they pay you the 30th day? Surprising?! Show that the amount paid today (0 days after today) agrees with the definition of zero exponents.

Answers

Answer 1

They will pay You $5368709.12 on the 30th day

What does the term "compound interest" mean?

Compound interest is when you receive interest on both your interest income and your savings.

You start with a one cent.

You have $0.01 x 2 the following day.

You have $0.01 x 2 x 2 the following day.

and so forth

You will have $0.01 x 2^n-1 on day n.

This means that on the 30th day, you have $0.01 x 2^29 = $5 368 709.12.

That is compound interest at work! It equates to daily payments of 100% interest. It immediately soars to inconceivable heights with even a penny as your initial investment!

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Related Questions

divide 4x^3 -x^2 +x - 5 by x^2 +x -1​

Answers

Answer: 4x^3+1

Step-by-step explanation:

Which of the correlation values represent a perfect linear relationship between x and y?
A) .05
B) 1
C) 100
D) -1
E) 0

Answers

The correlation values for the perfect linear relationship is option (b) 1 and (d) -1.

Correlation:

Correlation refers the measure that determines the degree to which the movement of two different variables is associated.

Given,

Here we need to find the perfect correlation values that represent the perfect linear relationship between x and y.

Here we know that the perfect linear relationship is indicated by a correlation with a magnitude of 1.

Then the sign of the correlation coefficient is the sign of the slope of the line describing the relationship. And it may be positive or negative.

Therefore, the value -1 and 1 are the perfect values for this one.

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The urface area of a three-dimenional object i the um of the area of the face. If repreent the length of the ide of a cube, write a formula for the urface area S of the cube

Answers

A Formula for the Surface area of the cube is 6a².

A cube is a three-dimensional solid with six square faces, facets, or sides, three of which meet at each vertex in geometry. It looks like a hexagon from the corner, and its net usually looks like a cross. One of the five Platonic solids, the cube is the only regular hexahedron.

The sum of the areas on each face of the cube that covers it is the cube's surface area. The formula for surface area is six times the cube's length divided by the square of that number. It is denoted by 6a², where a is the cube's side length. It basically refers to the entire surface area.

area of one face = a²    [By area of square formula]

There are six faces altogether. Therefore,

TSA (total surface area) of cube = S = a² + a²+ a² + a² + a² +a²

S = 6a²

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(complete question)

The surface area of a three-dimensional object is the sum of the area of the faces. If a represent the length of the side of a cube, write a formula for the surface area S of the cube.

three sides of a triangle are 3, radical7, and 4. Is the triangle acute, right or obtuse?

Answers

Answer: To determine whether a triangle is acute, right, or obtuse, we need to compare the lengths of its sides to the measure of its angles. The triangle is acute if all three angles measure less than 90 degrees, it is right if one angle measures exactly 90 degrees, and it is obtuse if one angle measures more than 90 degrees.

In the case of a triangle with sides 3, radical7, and 4, we can use the Pythagorean theorem to find the measure of its angles. The theorem 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.

Since we know that one side of the triangle has length 4, and another side has length radical7, we can use the theorem to find the length of the third side, which is the hypotenuse. We can write this as an equation: 4^2 + radical7^2 = x^2, where x is the length of the hypotenuse. Solving for x, we get x = 5.

Since the length of the hypotenuse is 5, and one of the other sides has length 4, we can conclude that this triangle is a right triangle. Therefore, the triangle is a right triangle and not acute or obtuse.

The solution to an inequality is given in set-builder notation as {x l x > two-thirds}. what is another way to represent this solution set?
a. (–[infinity] , two-thirds]
b. (–[infinity] , two-thirds)
c. (two-thirds, [infinity])
d. [two-thirds, [infinity])

Answers

The solution to an inequality is given in set-builder notation as {x l x > two-thirds}.

option c. (two-thirds, [infinity]) is the correct option

What exactly is set builder notation?

The set-builder notation can also be used to express sets using an interval or an equation. It is common practise for sets with an unlimited number of elements to write and represent their elements in this way. This makes use of a variable (or several) that fit under the group of typical numerical kinds, such as integers, real numbers, and natural numbers.

What is roster notation?

The roster notation is a convenient way to express sets mathematically. Within the curly braces of the roster form, the elements (or members) of a set are listed in a row. In a roster notation, a comma is used to indicate the separation of every two elements when the set contains more than one element.

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Ms. D'Amico bought a car with a 20% down payment, which was 5,750. She will finance the rest of the car payments. What was the price of the car?

Answers

Answer:

$28,750

Step-by-step explanation:

To find the price of the car, you need to use the following formula:

price of the car = down payment / (down payment percentage / 100)

Plugging in the given values, you get:

price of the car = 5,750 / (20 / 100)

Simplifying the expression, you get:

price of the car = 5,750 / 0.2

The price of the car is therefore 28,750.

What is the slope of the line that passes through the points (-1, -7)and (1, -13)? Write your answer in simplest form.

Answers

Answer:

m=-3

Step-by-step explanation:

use slope formula to solve

m=rise/over=y2-y1/x2-x1

The perimeter of a rectangle is 66cm.
Its longest side has a length of 17cm.
State the length of the shortest side.

Answers

[tex]{ \red{\boxed{ \tt{Step-by-step-explaination}}}}[/tex]

Perimeter of a rectangle : [tex]{ \purple{ \tt{2(l+b)}}}[/tex]

length = [tex]{ \red{ \tt{17cm}}}[/tex]

breadth= [tex]{ \red{ \tt{?}}}[/tex]

now,

according to the rule.

perimeter = 2(l+b)

66 = 2(17+b)

66 = 34 + 2b

66 - 34 = 2b

32 = 2b

32/2 = b

16 cm = b

hence b = [tex]{ \pink{ \sf{16cm}}}[/tex]

If p=3 and q=5 find p+q+2

Answers

Answer:

= 10

Step-by-step explanation:

p+q+2 = 3 + 5 + 2 = 10

Answer:

10

Step-by-step explanation:

3 + 5 + 2 = 10

Help me plssssssssssssssssssss

Answers

Answer:

Yes, point (2,4) satisfies the system of inequalities.

Step-by-step explanation:

The area of the graph that is the darkest contains all points that satisfy both inequalities. See the attached worksheet for further explanation of the graph and other colors.

a confidence interval for a proportion ranges from 0.45 to 0.74. what is the margin of error for this confidence interval?

Answers

The margin of error for this confidence interval is 0.145.

Given :

a confidence interval for a proportion ranges from 0.45 to 0.74.

Confidence interval :

A confidence interval, in statistics, refers to the probability that a population parameter will fall between a set of values for a certain proportion of times

Margin of error :

Margin of error, also called confidence interval, tells you how much you can expect your survey results to reflect the views from the overall population.

Length of confidence interval = 0.74 - 0.45

= 0.29

we know that,

Margin of error = 1/2 * length of confidence interval.

= 1/2 * 0.29

= 0.29/2

= 0.145

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Determine whether the Law of Sines or Law of Cosines is the best choice to solve for
the missing dimension for the given figure. Substitute the values into the appropriate
formula and solve for x.
X
26.43
21.35
82.42
49.09

Answers

Answer:

Hi use the sine rule: answer: 26.43

Step-by-step explanation:

To make 5 batches , jude need to use blank packages of pre mixed mortar

Answers

Answer:

the answer to your question is 20

Step-by-step explanation:

5 batches× 4 quarts

Which ordered pairs lie on the graph of the exponential function ƒ(x) = 5 (1/2) ^x​

Answers

b
as the funchal for f(x) is equal to 51/2x so it would be b

What is the slope of the line that passes through the points (1, -6)
and (-2, 8)? Write your answer in simplest form.

Answers

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{1}}} \implies \cfrac{8 +6}{-3} \implies \cfrac{ 14 }{ -3 } \implies - \cfrac{14 }{ 3 }[/tex]

Complete the similarity statement for the two quadrilaterals
given.
Enter your answer in the box.
quadrilateral PGY X ~ quadrilateral

Answers

Answer: loll ok so yes

Step-by-step explanation:

someone help me solve this

y= x-2

Answers

Answer:

See below.

Step-by-step explanation:

There is nothing to solve without some additional information. Does the problem state what is to be done, or does it contain any information on the values of x or y? For example:

1) Rearrange for x:

y= x-2

x = y+2

2) What is the value of x if y is 3?

y= x-2

(3)= x-2

x = 5

TWO PART QUESTION NEED! :)))

You decide to invest $500 into a 4-year CD that pays 2.85% interest
compounded monthly.

Use the compound interest formula:A = P(1 + r/n) ^nt to give:

a. The future value in 4 years.
b. The interest gained in 4 years.

Answers

Future value in four years is $1060.30 and Interest gained in four years is 560.30.

Define compound interest.

Compound interest is interest that builds up over a set length of time on both principal and interest. The principal is also used to account for the interest that has accrued on a principal over time. Furthermore, the accumulated principal value is used to calculate interest for the subsequent time period. The new way of calculating interest now utilized in all international financial and commercial operations is known as compound interest. When we look at the compound interest values that have built over successive time periods, the power of compounding is clearly apparent.

Given

You decide to invest $500 into a 4-year CD that pays 2.85% interest compounded monthly

Compound interest

A = P( 1+ r/n)^nt

Interest gained in 4 years

A = 500( 1+ 0.0285/12)^(12)(4)

A = 500( 1 + 0.002375) ^48

A = 560.30

Future value in 4 years = $500 + $560.30

Future value in 4 years = $1060.30

Future value in four years is $1060.30 and Interest gained in four years is 560.30.

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$55 is what percent of $55?

Answers

Answer:

100%

Step-by-step explanation:

$55 = $55. Or in other terms:

100% = 100%

$55 is the maximum number of the problem, which would be 100%. So, they are asking what the maximum is. Which is 100%.

Solution:

100%

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Answer: %100

Step-by-step explanation:

55 is the number you are using and the highest number is 55 so it will be %100

Guadalupe has 15 cups of dough to make dumplings. If she uses 3/4 cup of dough for each dumpling, how many dumplings can Guadalupe make?

Answers

Answer: she can make 20 dumplings.

Step-by-step explanation:

15 divided by 3/4 (15/.75) = 20

Which of the following choices is not a name for the given figure?

Answers

The name [tex]\overline{B}[/tex] does not represent a name of the given figure.

What is a line?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends.

In the figure A and B are two points on the line m.

The line can represent by the symbol [tex]\overline{BA}[/tex].

The line can represent by the name line m.

The line extended on both side of the points A and B.

The given figure can be represented by the symbol [tex]\overleftrightarrow{AB}[/tex].

But B is a point on the line. Using the point B, the line can not represent.

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If you place these marbles in a bag close your eyes and choose a marble what is the probability That it will be yellow

Answers

Answer:

Step-by-step explanation: You have 14 and 5 are yellow so 5/14.

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

Answers

If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120

The number q is an odd number

The median of q consecutive integers = 120

Consider the q = 3

Then three consecutive integers will be 119, 120, 121

The largest number = 121

Substitute the value of q in each options

Option A

(q-1) / 2 + 120

Substitute the value of q

(3-1)/2 + 120

Subtract the terms

=2/2 + 120

Divide the terms

= 1 + 120

= 121

Therefore, largest of these integers is (q-1) / 2 + 120

I have answered the question in general, as the given question is incomplete

The complete question is

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

a) (q-1) / 2 + 120

b) q/2 + 119

c) q/2 + 120

d) (q+119)/2

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Add. Write the answer in standard form (6-1)+(7+3t)

Answers

Answer:

Step-by-step explanation:

12 + 3t

What is the LCM of 10, 20 and 35
What is the lcm

Answers

Answer:
The LCM of 10 is 60
The LCM of 20 is 60
The LCM of 30 is 60
Step-by-step explanation:

The ratio of yellow cars to purple cars in a
car park is 97: 63.
Rewrite this as an equivalent ratio of the
form n : 1.
Give any decimals in your answer to
2 d.p.

Answers

Answer:

1.54 : 1

Step-by-step explanation:

See photo attached. Hope this helps

The equivalent ratio of yellow cars to purple cars in the form n:1 is 1.54:1.

What is Ratio?

A ratio is a mathematical comparison between two or more quantities or values. It expresses the relative sizes or amounts of different quantities and is typically represented in the form of a fraction or a colon (:).

The greatest common divisor (GCD) of 97 and 63 is 1, which means they have no common factors other than 1.

Therefore, we can write the ratio of yellow cars to purple cars as: 97:63

Since we need to write it in the form of n:1, we can divide both sides of the ratio by 63 (the smaller number in the ratio):

= 97/63 : 63/63

= 97/63 : 1

= 1.54 : 1

So, the equivalent ratio of yellow cars to purple cars in the form n:1 is 1.54:1.

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The equation c = 10.50p represents the proportional relationship between the total cost (c) and the number of pounds (p) of shrimp at a grocery store.

Which description is true, based on the equation of the proportional relationship?

A) For $0.50, you can buy 1 pound of shrimp.
B) For $1, you can buy 10.50 pounds of shrimp.
C) For $10.50, you can buy 10.50 pounds of shrimp.
D) For $10.50, you can buy 1 pound of shrimp.

Answers

The equation of the proportional relationship is For $10.50, you can buy 1 pound of shrimp.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

c = 10.50p

where total cost (c) and the number of pounds (p) of shrimp at a grocery store.

When p= 1 pounds then the cost is

c= 10.5

Hence, For $10.50, you can buy 1 pound of shrimp.

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Hi, the answer would be D...

For $10.50, you can buy 1 pound of shrimp.

have a nice day! :)

Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 69.08 inches.

What is the area of the rug? (Use 3.14 for .)

Answers

By using the formula of circumference and area of circle, it can be calculated that-

Area of the rug = 379.94 sq. inches

What is area and circumference of a circle?

Area of a circle is the total space taken by the circle.

If r is the radius of the circle, then area of the circle is calculated by the formula

Area = [tex]\pi r^2[/tex]

Circumference of a circle is the length of the boundary of a circle

If r is the radius of a circle, then circumference of a circle is calculated by the formula

Circumference = 2[tex]\pi[/tex]r

Let the radius of the rug be r inches

Circumference = [tex]2 \times \pi \times r[/tex] inches

                         = 2 [tex]\times[/tex] 3.14 [tex]\times[/tex] r

                         = 6.28 r

By the problem,

6.28 r = 69.08

r = [tex]\frac{69.08}{6.28}\\[/tex]

r = 11 inches

Area of the rug = 3.14 [tex]\times[/tex] 11  [tex]\times[/tex] 11

                          = 379.94 sq. inches

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................................................

Answers

Answer:

.........................................

Step-by-step explanation:

.............................................................................................................................................................................................

A company has a monthly time series that regularly shows sales being higher in the summer months. This is an example of which​ component?.

Answers

Answer: The Seasonal? brainleist if im right

Step-by-step explanation:

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