find the distance between -6 and 8

Answer:

foreshadowing

Step-by-step explanation:

Is that what you're looking for?

If it is:

Foreshadowing includes the clues the author throws into a story to hint at what may happen in the future, or further in the book. For instance, Character A says to Character B that "I've never broken a bone before! I've never even been hospitalized" but does so near the climax of the story.

Answer:

she can put it in a bank to gain interest

she can invest in the stock market

she can loan out money

Step-by-step explanation:

Depending on the compounding frequency, Leah's investment of $12,000 with a 4.5% annual interest rate would yield the following amounts after 10 years:

- Continuous compounding: approximately $18,843.48

- Daily compounding: approximately $19,212.03

- Monthly compounding: approximately $18,867.02

Leah's inheritance presents her with a golden opportunity to grow her wealth through strategic investment. With $12,000 at her disposal, she can explore various avenues to maximize the value of her funds. One option she's considering is investing in an account that offers a 4.5% annual interest rate.

To evaluate the potential returns from this investment, she needs to understand how different compounding frequencies affect the growth of her investment over time.

Let's start by defining the equations for the amount A(t) in the account after t years, using continuous compounding, daily compounding, and monthly compounding.

1. Continuous Compounding:

The formula for continuous compounding is given by:

[tex]\[ A(t) = P \times e^{rt} \][/tex]

where:

- A(t) is the amount of money in the account after t years,

- P is the principal amount (initial investment),

- r  is the annual interest rate (expressed as a decimal),

- t is the time in years, and

- e is the base of the natural logarithm, approximately equal to 2.71828.

Using Leah's values:

P = $12,000

r = 0.045 (4.5% expressed as a decimal)

Substituting these values into the formula, we get:

[tex]\[ A(t) = 12000 \times e^{0.045t} \][/tex]

To find the amount after 10 years, we can plug t = 10  into the equation and calculate the result.

[tex]\[ A(10) = 12000 \times e^{0.045 \times 10} \][/tex]

[tex]\[ A(10) \approx 12000 \times e^{0.45} \][/tex]

[tex]\[ A(10) \approx 12000 \times 1.57029 \][/tex]

[tex]\[ A(10) \approx \$18,843.48 \][/tex]

So, after 10 years of continuous compounding, Leah's investment would be approximately $18,843.48.

Next, let's consider daily compounding. In this case, interest is compounded 365 times per year, so the formula becomes:

[tex]\[ A(t) = P \times \left(1 + \frac{r}{365}\right)^{365t} \][/tex]

Using the same values as before, we can calculate:

[tex]\[ A(10) = 12000 \times \left(1 + \frac{0.045}{365}\right)^{365 \times 10} \][/tex]

[tex]\[ A(10) \approx 12000 \times \left(1 + \frac{0.045}{365}\right)^{3650} \][/tex]

[tex]\[ A(10) \approx 12000 \times \left(1 + 0.00012328767123\right)^{3650} \][/tex]

[tex]\[ A(10) \approx 12000 \times (1.00012328767123)^{3650} \][/tex]

[tex]\[ A(10) \approx 12000 \times (1.60100220887) \][/tex]

[tex]\[ A(10) \approx \$19,212.03 \][/tex]

After 10 years of daily compounding, Leah's investment would be approximately $19,212.03.

Finally, let's explore monthly compounding. With monthly compounding, interest is compounded 12 times per year, so the formula becomes:

[tex]\[ A(t) = P \times \left(1 + \frac{r}{12}\right)^{12t} \][/tex]

Using the same values as before, we can calculate:

[tex]\[ A(10) = 12000 \times \left(1 + \frac{0.045}{12}\right)^{12 \times 10} \][/tex]

[tex]\[ A(10) \approx 12000 \times \left(1 + \frac{0.045}{12}\right)^{120} \][/tex]

[tex]\[ A(10) \approx 12000 \times \left(1 + 0.00375\right)^{120} \][/tex]

[tex]\[ A(10) \approx 12000 \times (1.00375)^{120} \][/tex]

[tex]\[ A(10) \approx 12000 \times (1.5722520173) \][/tex]

[tex]\[ A(10) \approx \$18,867.02 \][/tex]

After 10 years of monthly compounding, Leah's investment would be approximately $18,867.02.

In summary, depending on the compounding frequency, Leah's investment of $12,000 with a 4.5% annual interest rate would yield the following amounts after 10 years:

- Continuous compounding: approximately $18,843.48

- Daily compounding: approximately $19,212.03

- Monthly compounding: approximately $18,867.02

These calculations illustrate how different compounding frequencies can affect the growth of an investment over time. Daily compounding typically results in slightly higher returns compared to monthly compounding, while continuous compounding offers the highest potential returns due to its continuous nature.

By understanding these dynamics, Leah can make an informed decision about how to maximize the growth of her inheritance based on her investment preferences and goals.

The complete question is:

Leah has just inherited $12,000. She wants to invest the money so that she can increase the value of her inheritance. What are some of the ways she can do this?

1. Leah wants to invest the $12,000 in an account that pays 4.5% annual interest.

a. Write equations for the amount A(t) that will be in the account after t years, if the interest is

compounded continuously, daily, and monthly. Then, find the amount after 10 years, rounded

to the nearest cent, for each method of compounding.

Answer:

I believe you typed your final answer choice incorrectly, as it should read 960 which is the correct answer

Step-by-step explanation:

the volume is 1920

1920/2=960

Answer:

960 cubic inches

Step-by-step explanation:

I took the test

Answer: the answer is 190

Step-by-step explanation: I multiplied 95 by two

Answer:

C) 190

Step-by-step explanation:

Answer:

6.8 x 10^-3

Step-by-step explanation:

Answer:

6.8 x 10³

Step-by-step explanation:

Answer x=-14.

Step-by-step explanation:

4+x/7

4+ -14/7

4+-2

2

Answer:

[tex]4 +\frac{x}{7}=2[/tex]

[tex]\frac{28 + x}{7} = 2[/tex]

28 +x = 14

x =14 - 28

x = -14

Hope this helped.

Step-by-step explanation:

|7m + 4| = 1

It can equal either 1 or -1, so:

7m + 4 = 1

7m = -3

m = -3/7

7m + 4 = -1

7m = -5

m = -5/7

Answer:

-5

Step-by-step explanation:

H is the value that is being added or subtracted from x in the equation

f(x)=a(x-h)^2 +k

Answer: H

Step-by-step explanation:Question 1(Multiple Choice Worth 5 points) (06.07A MC) What is the length of the third side of the window frame below? (Figure is not drawn to scale.) A picture of a right triangular window frame is shown. The longest side has length labeled as 87 inches. The height of the frame is labeled as 63 inches. 48 inches 60 inches 70 inches 75 inchesanswer - 60Question 2(Multiple Choice Worth 5 points) (06.07A MC) The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scale.) A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 9 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape. Which of the following options is closest to the distance (in miles) between points A and B? 6.71 miles 7.35 miles 8.66 miles 10.82 miles answer - 6.71Question 3(Multiple Choice Worth 5 points) (06.07A LC) The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 8.54 units 9.54 units 11.00 units 24.00 units answer - 8.54Question 4(Multiple Choice Worth 5 points) (06.07A LC) Jessica calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle was it? Four triangles E, F, G, H are shown from left to right. Triangle E has one side labeled as 2 and the other as 3, and the included acute angle is shown. Triangle F has both sides labeled as 3, and the included acute angle is shown. Triangle G has one side labeled as 4 and the other as 2, and the included right angle is shown. Triangle H has one side labeled as 6 and the other as 7, and the included obtuse angle is shown. answer h

Answer:

253,440

Step-by-step explanation:

12inches make a foot

So, in 1 miles, total inches equal

5280 × 12 = 63360 inches in one mile

In 4 miles then, total inches would be

63360 × 4 = 253440 inches

Answer:2.8 x 10^-6. hope this helps :)

Final answer:

The expression (7 x 10⁻¹²)(4 x 10⁵) in scientific notation is 2.8 x 10⁻⁷.

Explanation:

The expression in scientific notation for the product (7 x 10⁻¹²)(4 x 10⁵) is found by multiplying the coefficients (7 and 4) and then adding the exponents of 10 (as they have the same base). Multiplying the coefficients gives us 28, and adding the exponents of 10 (-12 + 5) gives us -7 as the new exponent.

The final result in scientific notation is 2.8 x 10⁻⁷. Note that 28 is adjusted to 2.8 to maintain the correct form for scientific notation, which is one non-zero digit to the left of the decimal point.

Answer:

  9.89 billion

Step-by-step explanation:

At that rate of growth, the population is multiplied by 1.023 each year. After 22 years, the population would be ...

  6·1.023^22 ≈ 9.89 . . . billion

Answer:

Let the equation for the population (P) growth be given by

P = P0ert, where P0 is the initial population in billioins at time t,

                           t is the number of years since 1987,

                           r is the rate of growth of population/year

In this case P0 = 5 billion and r = 0.02.  Putting these values into the equaation:

P = 5e0.02t

Year 1995 is 8 years after 1987, then the population would be

P = 5e0.02*8 = 5e0.16 ≈ 5.87 billion people

Step-by-step explanation:

Answer:

You've completed 11/12 of your project

Only 1/12 left to go!

Step-by-step explanation:

2/3 + 1/4 = 11/12

Answer:

Step-by-step explanation:

2/3+1/4=11/12

Answer:

516

Step-by-step explanation:

First

34% small and 40% large means that 100 - (34 + 40) = 26% medium

26% of 600 = 0.26 × 600 = 156

----------------------------------------------------

Second

[tex]\frac{3}{10}[/tex] are small and [tex]\frac{1}{10}[/tex] are large, which means [tex]\frac{6}{10}[/tex] are medium

[tex]\frac{6}{10}[/tex] × 400 = 0.6 × 400 = 240

-----------------------------------------------------

Third

sum the parts of the ratio, 3 + 4 = 7

Divide 210 by 7 to find the value of one part of the ratio

210 ÷ 7 = 30 ← value of 1 part of ratio

Thus medium = 4 × 30 = 120

Total number of medium packets = 156 + 240 + 120 = 516

Answer: 70 mph

Step-by-step explanation:

224/x =224/x+10 +24/60

Solve equation

John's original speed was 70 mph.

Let's denote John's original speed as v (in mph).

The time taken for the first journey is 224 / v (hours).

His speed on the return trip is v + 10 mph.

The time taken for the return journey is 224 / (v + 10) (hours).

The time difference between the two journeys is 24 minutes, which is 24/60 = 0.4 hours.

Therefore, we set up the following equation:

224 / v - 224 / (v + 10) = 0.4

To solve this, we find a common denominator and solve for v:

224(v + 10) - 224v = 0.4v(v + 10)

2240 = 0.4[tex]v^2[/tex] + 4v

0.4[tex]v^2[/tex]+ 4v - 2240 = 0

Multiply by 10:

4[tex]v^2[/tex]+ 40v - 22400 = 0

Divide by 4:

[tex]v^2[/tex] + 10v - 5600 = 0

We solve this quadratic equation using the quadratic formula v = [-b ± √(b² - 4ac)] / 2a where a = 1, b = 10, and c = -5600:

v = [-10 ± √(10² - 4*1*(-5600))] / 2

v = [-10 ± √(100 + 22400)] / 2

v = [-10 ± √(22500)] / 2

v = [-10 ± 150] / 2

The possible solutions are:

v = (140 / 2) = 70 mph

v = (-160 / 2) = -80 mph (not feasible)

Thus, John's original speed was 70 mph.

Answer: 7238.23

Step-by-step explanation:

volume of a sphere is (4/3)(pie)(r^3)

so if the diameter is 24 than the radius is 12 so u would substitute that into the formula and you should get 7238.23

The correct answer is option D: 6,912π cubic units.

To find the volume (V) of a sphere, you use the formula:

[tex]\[ V = \frac{4}{3} \pi r^3 \][/tex]

where (r) is the radius of the sphere.

Given that the sphere has a diameter of 24 units, the radius (r) is half of the diameter, which is 24/2 = 12 units.

Now, substitute the value of the radius into the formula:

[tex]\begin{aligned}V & =\frac{4}{3} \pi(12)^3 \\V & =\frac{4}{3} \pi 1728 \\V & =\frac{6912}{3} \pi\end{aligned}[/tex]

Complete Question:

A sphere has a diameter of 24 units. What is its volume in cubic units?

A. 576π cubic units

B. 1,728π cubic units

C. 2,304π cubic units

D. 6,912π cubic units

Look at the attached picture⤴

Hope it will help u...

Answer:

4.65 x 10^-5

Step-by-step explanation:

.00465

[tex]4.65 x 10^{-5}[/tex]

Answer:

number d im (pretty sure)

Step-by-step explanation:

Answer:

the 4th term is 64

Step-by-step explanation:

Given

d(1) = 13

d(n) = d( n -1) +17

First

d(2) = d(2-1) + 17

= d(1) + 17

= 13 + 17

= 30

d(3) = d(3-1) +17

= d(2) + 17

= 30 +17

= 47

d(4) = d(4-1) + 17

= d(3) + 17

= 47 +17

=64

To find the 4th term in the sequence defined by d(n)=d(n-1)+17, we can use the formula recursively to compute the subsequent terms. Starting with d(1)=13, we can find d(4) by adding 17 repeatedly.

The sequence is defined by the formula d(n)=d(n-1)+17, with d(1)=13. To find the 4th term in the sequence, we can use the formula recursively. Starting with d(1)=13, we can find d(2) by adding 17 to d(1): d(2)= d(1) + 17 = 13 + 17 = 30. Continuing this pattern, we find d(3) = d(2) + 17 = 30 + 17 = 47. Finally, we find d(4) = d(3) + 17 = 47 + 17 = 64.

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Answer:

Look at the attached work for a step by step solution and answer.

Step-by-step explanation:

Answer:

I feel like its either c or d but i'm not sure? I'm sorry for the inconvenience. I really did try.

Step-by-step explanation:

Answer:

the anwser is d none of the above

Step-by-step explanation:

What does the yyy-intercept represent?The yyy-intercept tells us the value of the yyy-variable when the xxx-variable equals 000.Hint #22 / 3In this context, xxx represents the number of tire rotations, and yyy represents the distance past the tree. So the y-intercepty-interceptstart color #ca337c, y, start text, negative, i, n, t, e, r, c, e, p, t, end text, end color #ca337c at (0,−15)(0,−15)left parenthesis, 0, comma, minus, 15, right parenthesis says after 000 tire rotations, Coleman was 151515 meters away from the tree and the tree was in front of him.55101015152020252510102020303040405050-10-10Tire rotationsDistance past the tree (m)(0,−15)(0,−15)The first and fourth quadrants of a coordinate plane. The horizontal axis is from zero to thirty with a scale of five and is titled Tire rotations. The vertical axis is from negative twenty to sixty with a scale of five and is titled Distance past the tree in meters. The graph of the line is y equals two point two five x minus fifteen. The point zero, negative fifteen is plotted and labeled.Hint #33 / 3The answerThe yyy-intercept represents the distance Coleman was away the tree when he started traveling.Since that was not an option, the answer is none of the above.

Answer:

d

Step-by-step explanation:

Answer:

36 leaves

Step-by-step explanation:

1 clover has 4 leaves

so if you have 9 clovers multiply the leaves by clovers by 4

1:4

9:36

5 Aaron wants to draw rectangles that each have an area of 36 square inches.

The length and width of each rectangle are whole numbers of inches.

OK, we have Area=L×W where area is 36 and L and W are whole numbers, aka non-negative integers.

36=LW

a. A rectangle can have a width of 3 inches.

Sure, L=36/W = 36/3=12, a whole number.  True

b. A rectangle can have a length of 8 inches.

W=36/L=36/8=9/2, not a whole number.  False

C. A rectangle can have a length of 18 inches and a width  of 2 inches.

Sure 18×2=36, our area.  True

d. A rectangle can have a width of 6 inches and a perimeter

that is less than 36 inches.

L=36/6=6

It's a square, perimeter 6+6+6+6=24 which is of course less than 36

True

e. A rectangle can have a length of 9 inches, a width of  4 inches, and a perimeter equal to its area.

Perimeters can never really equal areas; they have different units.  Let's just assume they mean they have the same number.

Area is 9×4=36, as desired.  Perimeter is 9+4+9+4=26, not equal to its area.

False​

This answer explains the possible dimensions for rectangles with an area of 36 square inches. The possible widths include 3 and 6 inches depending on the corresponding length. However, a length of 8 inches or 18 inches with a width of 2 inches, and a rectangle with a length of 9 inches and a width of 4 inches are false scenarios.

The subject of these statements is about rectangles with an area of 36 square inches and their possible dimensions. For a rectangular area, you multiply the length by the width.

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Answer:

-7 3=-4

-5 1=-4

-3 -1=-4

-7 and 3 make -4. -5 and 1 make -4. -3 and -1 make -4.

The three pairs with the same total are as follow:

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043. A set of integers, which is represented as Z, includes:

Given:

Number on cards -7 -5 -3 3 1 -1

Now, we have to make the pair according it gives the same total

-7 + (3) = -4

-5 + 1 = -4

-3 -1 = -4

Learn more about integers here:

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Answer:

a) 29%   b) 22%

Step-by-step explanation:

The quantities must be expressed in the same units.

a) compare 35 minutes to 2 hours.  2 hours is 2 x 60 = 120 minutes.

35/120 = .291667 = 29%

b) compare 650 grams to 3 kilograms.  3 kg = 3 x 1000 = 3000 g.

650/3000 = .21667 = 22%

Answer:

see explanation

Step-by-step explanation:

To express as a percentage, first express as a fraction and multiply by 100%

The quantities must be expressed in the same units.

(a)

2 hours = 2 × 60 = 120 minutes, thus

[tex]\frac{35}{120}[/tex] × 100% ≈ 29.2% ( to 1 dec. place )

(b)

3 Kg = 3 × 1000 = 3000 g, thus

[tex]\frac{650}{3000}[/tex] × 100% ≈ 21.7% ( to 1 dec. place )

Answer:

95°

Step-by-step explanation:

Since, quadrilateral DUCK is inscribed in circle O

sum of the opposite angles of the quadrilateral is 180°

m<K +m<U= 180°

m<K= 180°- 85°= 95°

Answer:

95 degrees

Step-by-step explanation:

Quadrilaterals that are inscribed in circles are often called "cylic". Cyclic quadrilaterals have many unique properties. One of these is that opposite angles add up to 180 degrees.

Here, DUCK is a cyclic quadrilateral. "Opposite angles" are < U and < K, as well as < D and < C. So, since < U and < K are opposite angles in this inscribed quadrilateral, they add up to 180 degrees:

< U + < K = 180

We already know that < U = 85, so:

85 + < K = 180

< K = 95

Thus, < K is 95 degrees.

Hope this helps!

Answer: 6 and 4

Step-by-step explanation:

Fill in the numbers with the correct variable and you get your answer. 6-0=6 6-2=4

Answer:

15 hope it helps:)

Step-by-step explanation:

because it divides 5 in each side