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John would need an interest rate of approximately 7.1% in order to end up with $1,830 after 19 years with quarterly compounding.

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

\(a = p(1 + \dfrac{r}{n})^{nt}\)

Where:

A = the final amount of money

P = the principal (initial investment)

r = the interest rate (annual)

n = the number of times interest is compounded per year

t = the number of years

We know that;

P = $820, t = 19 years, A = $1,830, and n = 4 (quarterly compounding).

Let's solve for r:

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

1830 = 820(1 + r/4)^(419)

1830/820 = (1 + r/4)^(419)

2.2317073 = (1 + r/4)^76

(1 + r/4) = (2.2317073)^(1/76)

1 + r/4 = 1.0177369

r/4 = 0.0177369

r = 0.0709476

Therefore, the interest rate by the given data will be 7.1%

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The vertex of the graph is a maximum at (-2, 4)

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

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The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

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The area of the new triangle would be 9.9c * m², so the answer is C.

What is triangle ?

A triangle is a two-dimensional geometric shape that has three straight sides and three angles. It is one of the basic shapes in geometry, and it is widely used in mathematics, science, engineering, and other fields. Triangles can be classified based on the length of their sides and the size of their angles.

The area of a triangle is given by the formula A = (1/2) * b * h, where A is the area, b is the base, and h is the height.

Let the original base be b and the original height be h, so the original area is A = (1/2) * b * h = 10c * m²

If the base is increased by 10%, the new base is 1.1b, and if the height is decreased by 10%, the new height is 0.9h.

The new area can be calculated as follows:

new area = (1/2) * (1.1b) * (0.9h)

= 0.495bh

= 0.495 * 2A

= 0.99A

= 9.9c * m²

Therefore, the area of the new triangle would be 9.9c * m², so the answer is C.

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Answer: 5x³

Step-by-step explanation:

Answer:

c/13 - 10

Step-by-step explanation:

Answer:

4140 pieces

Step-by-step explanation:

This is true because we would have to multiply the number of jigsaw puzzles and how many pieces each on of them had to see how many pieces they put together in all.

To set up the equation we would do 345 times 12,

if you calculate it, the answer would be 4140.

Hopes this helps, and good luck!! :)

Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.

Answer:

yellow blue green gray black white

The number of 100 dollar bills in one billion dollars  is 10 million hundreds or 70,900 hundred dollar bills.

To find the number of 100 dollar bills in one billion dollars, we can use the following steps:

First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,

we can divide one billion by 100 to get the number of hundreds

\(:$$\frac{1\text{ billion}}{100}=10\text{ million}$$\)

So one billion dollars is equal to 10 million hundreds.

Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:\($$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$\)

The volume of one hundred dollar bill is approximately 0.00709 cubic inches.

Finally, we need to find the total volume of 10 million hundreds:\($$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$\)

Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.

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Answer:

A.Josiah

5×4= 20+100=120

10×4=40+40=80

120 is more than 80

After 4 weeks , Josiah has 40 dollars more in his savings account.

Given :

Josiah starts with $100 in his savings account and adds 5 per week.

Let x be the number of weeks they started saving

Total money in savings account = 5 (number of weeks) + initial amount

Total money = \(5x+100\)

Kiri starts with 40 in her savings account and adds 10 each week.

Total money = 10x+40

Now we need to find out how much money each have after 4 weeks

lets replace x by 4

Josiah have \(5(4)+100=120\)

Kiri have \(10(4)+40= 80\)

120-80=40

So , Josiah have 40 dollars more  in his savings account.

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Answer:

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Full surface area is the sum of areas of 4 triangles and the square base:

Find the height h of the pyramid, using slant height and the side of the base and Pythagorean:

Find the volume:

Answer:

as we can see b and are reflections as ther are same

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer:

40000, 20000

Step-by-step explanation:

Let the amount a grandchild receives be \(x\). Then, the amount a child receives is \(2x\).

Thus, \(220000=2(2x)+7x=11x \implies x=20000\).

This means each grandchild gets $20,000 and each child gets $40,000.

According to the question there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.

A website is a collection of related web pages, images, videos, and other digital assets that are hosted on a web server and can be accessed by users over the internet. A website is typically identified by a unique domain name and can be accessed by typing the URL into a web browser.

Using the formula for calculating the number of combinations of size k from a set of size n (n choose k), we can calculate the number of distinct website graphics that can be created by using at least four of seven different bitmap images as follows:

n = 7 (7 different bitmap images)
k = 4 (at least 4 of the 7 bitmap images)
Number of distinct website graphics = (7 choose 4) = 35
Therefore, there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.

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The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.

To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.

First, let's find the interest amount:

Interest = Principal x Interest Rate x Time

Given:

Principal = $4650

Interest Rate = 2% per year

Time = 2 months

Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.

Interest = $4650 x 0.02 x (1/6) = $15.50

Now, we can calculate the total principal and interest payment:

Total Payment = Principal + Interest

Total Payment = $4650 + $15.50 = $4665.50

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Answer:

Step-by-step explanation: 462 Divided by 24 = 19.25$

Proof: 19.25 x 24 = 462

Answer: 19.25$

Answer:

36 green marbles

Step-by-step explanation:

If 60% of the 60 marbles in the bag are green, then the number of green marbles can be calculated as:

Green marbles = 60% x 60 marbles

To simplify this calculation, we can convert 60% to a decimal by dividing by 100:

Green marbles = 0.60 x 60 marbles

Green marbles = 36 marbles

Therefore, Rudy received 36 green marbles.

Answer: 36

Step-by-step explanation:

60 is 6/10 of 100 so if you are taking a percent of 60 just multiply the percentage by 6/10. 6/10 of 60 is 36

Answer:

sup(x,3)

Step-by-step explanation:

Linear equation:

A linear equation has the following format:

\(y = ax + b\)

In a linear equation, when x changes by 1, y will always change by the amount a, which is called slope.

In this question:

y=sup(x,3)+2x+1

\(y = 2x + 1\) would be a linear equation.

However, the expression sup(x,3), that is, the higher value between x and 3, means that the function is not linear.

The area of the shaded region = 30.903 in²

From the attached figure we can observe that the radius of the circle R is r = 6 in.

Using the forula for the area of circle, the area of circle R would be,

A₁ = πr²

A₁ = π × 6²

A₁ = 36π

A₁ = 113.097 in²

So, the diameter would be d = 6 × 2 = 12 in.

The circle R is inscribed in a square.

So, the side length of square is equal to the diameter of the circle.

This means the side length 'a' os square = 12 in.

Using the formula of the area of square,

A₂ = side²

A₂ = a²

A₂ = 12²

A₂ = 144 in²

so, the area of the shaded region would be,

A = A₂ - A₁

A = 144 -113.097

A = 30.903 in²

This is the required area.

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Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Answer:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}

Answer:

Step-by-step explanation:

Not sure what you require but (165/750) * 100

= 0.22 * 100

= 22% are children

Answer:

31.869 kg.

Step-by-Step Explanation:

Inner radius,r=12/2=6cm

thickness=1cm

so,outer radius,R=6+1=7cm

height,h=1m=100cm

volume=pi×(R^2-r^2)×h

=22/7×(7^2-6^2)×100

=22/7×(49-36)×100

=22/7×13×100

286/7×100

=28600/7

since,density=7.7gm/cm^3

also,weight=volume×density

weight=28600/7×7.7gm

=31460gm

or,31.46 kg

Answer:

6 cookies

Step-by-step explanation:

himself + 6 friend = 7

(17+25)/7

= 42/7

= 6

Each friende get:

6 cookies

Answer:

6 cookies each person

Step-by-step explanation:

(17+25=42)

Answer:

It's called “Saturdays are for the boys,” and since June it has gone from a simple hashtag to an ethos lording over the frat boy (and slightly aging frat boy) universe.

Step-by-step explanation:

Answer:

the answer is 70%

Step-by-step explanation:

if all equals 100% and theres 10 pounds that means 7 pounds is eaqual to 70%

Answer:

C. (4,5)

Step-by-step explanation:

Start at point D

Move 4 units (negative) across the x axis then 3 units (negative) down from there. Now you’re at (4,5) which is D’

Answer:

x=10,y=120

Step-by-step explanation:

3x-30=60 CDA

3x=30

x=10

again,

y+60=180 straight line

y = 120