Correct answer only please!

Elizabeth deposited $4,530 in a savings account earning 11% interest, compounded annually.

To the nearest cent, how much will she have in 5 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Correct Answer Only Please!Elizabeth Deposited $4,530 In A Savings Account Earning 11% Interest, Compounded

Answers

Answer 1

Answer: Elizabeth earned $7270.91.

Step-by-step explanation:

The formula given to us is the formula for compounded interest.

You can substitute the values given in the first part of the problem into the equation to find B, the final amount:

[tex]B = p*(1+r)^t\\\\B = 4530 * (1 + 0.11)^5[/tex]

Note that 11% interest is expressed as 0.11 because it is a percentage of a whole number.

Now, use a calculator to raise 1.11 to the fifth degree to get this:

[tex]B = 4530 * 1.605058\\B = 7270.912[/tex]

As such, Elizabeth earned $7270.91 in interest after 5 years.


Related Questions

what is 3 and 1/2 divided by 1 and 3/7 equal please help

Answers

Answer:

2.45

Step-by-step explanation:

Answer:

2 9/20

Step-by-step explanation:

3 1/2 ÷ 1 3/7

Change to improper fractions

(2*3+1)/2 ÷ (7*1+3)/7

7/2 ÷10/7

Copy dot flip

7/2 * 7/10

49/20

Change back to a mixed number

20 goes into 49 2 times with 9 left over

2 9/20

When Violet was born she weighed 54 pounds. At 5 months old she weighed 16.3 pounds.
How much weight did she gain between birth and 5 months old?

Answers

Answer:

37.7 pounds

Step-by-step explanation:

Simply subtract 54 (starting weight) by 16.3 (weight at 5 months) = the amount of weight she lost.

54 - 16.3 = 37.7


Points A, B, and C are collinear and B is between A and C. You are given AC = 18 and BC = 4. What is the value of AB?

Answers

Answer: AB = 14 units.

Step-by-step explanation:

Collinear means that we can draw a line that goes trough the 3 points.

We also know that B is between A and C, so we may have something like:

----A---------B--------------C------------

The distance between A and C is 18 units.

And the distance between B and C is 4 units.

Looking at that description, you can see that the distance between A and B is equal to the distance between A and C minus the distance between B and C.

So we have:

AB = AC - BC = 18 units - 4 units = 14 units.

A bullet train traveled 270 kilometers in 1.5 hours. The entire trip is scheduled to last 5 hours. If the train continues at the same rate, which proportion can be used to find the length, in kilometers, k, of the trip?

Answers

Answer:

270/1.5=k/5

Step-by-step explanation:

270  km........1.5 h

k       km........5 h

270/1.5=k/5

The number of candies in the bag was less than 90. It is possible to divide all the candies evenly among 3, 4, or 7 children. How many candies were in the bag?

Answers

Answer:

  84

Step-by-step explanation:

The least common multiple of 3, 4, and 7 is 3·4·7 = 84.

There were 84 candies in the bag.

A car traveled 360 miles in 4 hours. If its speed were to be 15 mph slower, how long would it take to travel the same distance?

Answers

Answer: 4.8 hours.

Step-by-step explanation:

To find how long it would take to travel the same distance at a slower speed, find the speed the car is currently driving at.

Speed is distance over time, or in this case, miles per hour.

360 / 4 = 90 miles per hour.

The car is travelling 15 miles per hour slower, so the new speed is 90 - 15, or 75 miles per hour.

You can now use the same equation to find the time travelled:

360 / x = 75

360 = 75x

Divide both sides by 75 to get your answer:

4.8 = x

It would take the car 4.8 hours to travel the same distance.

Find the mean, median and mode of these numbers

11,10,8,10,1

12,10,16,28,15,29,26,16,1

13,11,12,8,10,6

9,12,5,9,14,5,7,8,9,2

Thank you for helping!​

Answers

Answer:

11, 10, 8, 10, 1

mean - 8

median - 10

mode - 10

12, 10, 16, 28, 15, 29, 26, 16, 1

mean - 17

median- 16

mode - 16

13, 11, 12, 8, 10, 6

mean - 10

median - 10

mode - no mode

9, 12, 5, 9, 14, 5, 7, 8, 9, 2

mean- 8

median- 8.5

mode - 9

mean - add up all numbers then divide that answer by how many numbers there are

median - put all the numbers in order and find the middle number

mode- most frequent number

Sarah solved a quadratic equation. Her work is shown below, with Step 1 missing.
What could Sarah have written as the result from Step 1?
2(x + 1)2 +6 = 134
Step 1
(x+1)2 – 64
Step 2
2+1 =18
Step 3
x = -9 or x = 7 Step 4
Khan academy quiz

Answers

Answer:

c.2(x+1)^2=128

Step-by-step explanation:

The missing step that Sarah has to write as the result of Step 1 will be 2(x + 1)² = 128.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

2(x + 1)² + 6 = 134

Simplify the equation, then we have

2(x + 1)² + 6 = 134

2(x + 1)² = 128

(x + 1)² = 128 / 2

(x + 1)² = 64

Take square root on both sides. Then we have

(x + 1) = ± 8

x = - 1 ± 8

x = - 1 - 8, - 1 + 8

x = - 9, 7

The missing step that Sarah has to write as the result of Step 1 will be 2(x + 1)² = 128.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Westin is comparing the triangles below.


Triangle F G H. Side G H is 4 centimeters, angle G is 117 degrees, and angle H is 27 degrees. Triangle J L K. Side J L is 8 centimeters, angle J is 27 degrees, and angle L is 117 degrees.


He uses the similarity statement Triangle H G F is similar to triangle L J K. Which best describes the accuracy of Westin’s statement?

Accurate. HG and LJ are proportional.

Inaccurate. HG and LJ are not corresponding sides.

Inaccurate. The sides are not proportional. There is no common ratio between the sides.

Inaccurate. The angles in the order listed do not correspond.

Answers

Answer:

It is Inaccurate: The angles in the order listed do not correspond. I just took the test

Answer:

Inaccurate. The angles in the order listed do not correspond.

Step-by-step explanation:

I am doing the test rn and I think this is the right answer

Please check 1, 2, 4, and 5 for me and please help me with question 3.

Thank you!

Answers

Answer:

n = 7

Step-by-step explanation:

Your answers are correct.

For problem 3, we use error estimation:

| (-2)ⁿ⁺¹ / (n+1)! | < 0.01

(2)ⁿ⁺¹ / (n+1)! < 0.01

By trial and error:

If n = 3, (2)ⁿ⁺¹ / (n+1)! = 0.667

If n = 5, (2)ⁿ⁺¹ / (n+1)! = 0.089

If n = 7, (2)ⁿ⁺¹ / (n+1)! = 0.006

In the following diagram, HI is parallel to JK. What is the measure of x?

Answers

Answer:

60

Step-by-step explanation:

find the missing angle in triangle HAI =60.

VERTICALLY OPPOSITE ANGLES ARE EQUAL.=60

Angle x is alternating with the angle.

Answer:

[tex]x = 60 \: \: degrees[/tex]

Step-by-step explanation:

Lets take LAH angle as 'y'

[tex]61 + 59 + y = 180 \\ 120 + y = 180 \\ y = 180 - 120 \\ y = 60 \: \: degrees[/tex]

[tex]y = x(corresponding \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: angles) \\ 60 = 60 \\ \\ [/tex]

[tex]x = 60 \: \: degrees[/tex]

Here is a diagram of a person standing next to a lorry.
The diagram shows two centimetre rulers.
The person and the lorry are drawn to the same scale.
The lorry is approximately 9.5 m in length.
Using the scale diagram, estimate the height of the person in metres.

Answers

Answer:

The person is a about 2m

The height of the person is 0.475m.

What is the scale factor?

The scale factor is the ratio of the size image in scale and original size of the image.

Scale factor= new size/ original size

Here given that the length of the lorry is 9.5 m= 9.5*100 cm= 950 cm

But in scale, the length of the lorry is 10cm

scale factor =new size/ original size= 10/950= 1/95

Similarly for the person height of the person on the scale is given = 2cm

As from above it is clear that

scale factor= 1/95

new size/ original size= 1/95

2/ original size= 1/95

original size= 95/2

original size= 47.5 cm

original size= 47.5/100 m= 0.475 m

Therefore the height of the person is 0.475m.

Learn more about scale factor

here: https://brainly.com/question/25722260

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100 Points, EASY MATH QUESTION.

Topic: Fractions




Three siblings decided to share the yard work (chores) that their parents assigned. If siblings A and B do 8/12 of the work, what fraction of the work is left for sibling C?


1/2

1/3

1/4

1/5

Answers

Answer:

1/3

Step-by-step explanation:

1/3 because 8/12 + 1/3 is 1 whole

Answer:

1/3

Step-by-step explanation:

The whole chore is 1, or 12/12

Subtracting the fraction of work done by A and B

12/12- 8/12 = 4/12

Which simplifies

4/12 = 1/3

Expand the expression and combine like terms. Show your work.

1.6x−12(3.8x+0.04)

Answers

Answer:

-44x - 0.48

Step-by-step explanation:

[tex]1.6x-12(3.8x+0.04)\\=1.6x-12\times 3.8x -12\times 0.04\\=1.6x-45.6x -0.48\\=-44x - 0.48[/tex]

PLEASE HELP ME!

Tina and Tammy both get paid an equal hourly wage of $12 per hour. This week, Tina made an additional $46 in overtime. Select the expressions below that represent the weekly wages of both if x the number of hours
Tina worked this week and y= the number of hours Tammy worked this week

Answers

Answer:

Expressions B, D and E

Step-by-step explanation:

Here, we are to select which of the options is correct.

Let’s put in mind that they bought earn $12 per hour

x represents the number of hours Tina worked this week; the total amount of money she made would thus be x * 12 = $12x

Remembering that she made $46 overtime, the total amount of money she made that we would be $12x + 46

The total amount Tammy made, earning $12 per hour and working for y hours = $12 * y = $12y

The total amount of money both made is thus;

12x + 46 + 12y

= $(12x + 12y + 46)

Now, we have similar expressions in the question;

These are; expression B, expression D and expression E

While expression B is straightforward, the others are not

expression D is gotten by factoring out 12; 12x + 12y + 46 = 12(x + y) + 46

expression E just involved putting what each of the two earned in brackets

The _____ gives the location on the X axis and the _______ gives the locaton on the Y axis

Answers

Answer:des

Step-by-step explanation:

can someone help me please I'm doing this for math Olympics

A contractor is asked to build a new set of townhouses in attached clusters of


different sizes. He created plans for one-, two-, and three-house clusters, as shown in the diagram below. The builder used computer software to draw the line segments used to represent the houses. How many line segments are needed to draw 4 houses? 10 houses? 47 houses? n houses? Explain your strategy.

Answers

i’m not helping but i need to answer peoples stuff so i can get a answer

What is the area of the shaded region? A. 21mm B. 24 mm C. 42 mm D. 48 mm

Answers

Answer:

Can i see a pic of the shaded part?

Step-by-step explanation:

A bicycle wheel has a circumference of 62 inches. Find the diameter of the wheel. If necessary, round to the tenths place. 39.5 inches 19.7 inches 15.5 inches 9.9 inches

Answers

Answer:

19.7 inches

Step-by-step explanation:

The formula for the circumference of a circle of radius r is C = 2πr.  If the diameter is given, then the formula is C = πd.

Here C = 62 in.  Dividing both sides by π yields the diameter:  d = C/π:

       62 in

d = ----------- = 19.7 inches

        3.14

Answer:

b. 19.7

Step-by-step explanation:

did it on the ed2020 practice

Simplify Negative 3 over 2 divided by 9 over 6.

Answers

Answer:

-1

Step-by-step explanation:

So in this case your dividing -3/2 by 9/6

So a strategy I learned was KCF aka. keep change and flip.

Therefore, in this case you keep -3/2

You change the dividing sign into multiply and then you flip 9/6 which makes 6/9.

These leaves us with -3/2 x 6/9

After multiplying, you'll probably get -18/18.

Which leaves us with -1 since if you divide a positive by a negative or a negative by a positive it'll give you a negative number.

Hopefully this helped! :)

median and range
math question

Answers

Idk what your question is

Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are inches long, inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is inches long, 18 inches wide, and 24 inches tall. Large Box 2 is inches long, inches wide, and 24 inches tall. Both the small and large boxes must remain upright.

Answers

Answer:

- The number of small boxes that will fill the large box 1 = 64

- The number of small boxes that will fill the large box 2 = 56

Step-by-step explanation:

Complete Question

Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4.5 inches long, 4.5 inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is 24.25 inches long, 18 inches wide, and 24 inches tall. Large Box 2 is 20.5 inches long, 18.5 inches wide, and 24 inches tall. Both the small and large boxes must remain upright.

Solution

To know how many of the small boxes will fit in larger boxes, we need to obtain the volumes of the small box, large box 1 and large box 2.

Volume of a cuboid = L × W × H

For the small box,

Length = L = 4.5 inches

Width = W = 4.5 inches

Height = H = 8 inches

Volume of the small box = 4.5 × 4.5 × 8 = 162 in³

For large box 1,

Length = L = 24.25 inches

Width = W = 18 inches

Height = H = 24 inches

Volume of the large box 1 = 24.25 × 18 × 24 = 10,476 in³

For large box 2

Length = L = 20.5 inches

Width = W = 18.5 inches

Height = H = 24 inches

Volume of the large box 2 = 20.5 × 18.5 × 24 = 9,102 in³

The number of small boxes that'll fill the large box 1 = (10,476/162) = 64.667 = 64 small boxes (rounded down because the fraction cannot be forced into the large box 1.

The number of small boxes that will fill the large box 2 = (9,102/162) = 56.185 = 56 small boxes.

Hope this Helps!!!

A bag contains 4 blue marbles, 6 green marbles, 3 yellow marbles. b) What's the probability of drawing a yellow marble?

Answers

Answer:

3/13

Step-by-step explanation:

There are 13 marbles in the bag, 3 of them are yellow, so the probability of yellow marbles being drawn is 3/13

the expression 1350(1.05)^t models the average wages, in dollar, in the us as a function of the number of years since 1930. what does 1.05 represent in this expression.​

Answers

Answer:

The average wage in the us increase by about five percent

Step-by-step explanation:

The 1.05 represents the rate of increasing average wages in the US, and it depicts that average wages are increasing by 5 %.

What is the percentage?

As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given the expression,

[tex]1350(1.05)^t[/tex]

As it is clear that this is the formula for the amount,

[tex]A = P \times (1+r/100)^t[/tex]

Here, the value of the middle expression is 1.05, which can be written as 1 + 5 / 100.

Therefore, it is the rate of increasing wages in the US, and it depicts that the wages are increasing by 5 %.

To know more about percentages:

https://brainly.com/question/26080842

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I was just wondering this is one of my questions in my math books and i needed help

Answers

Answer:

B is true

Step-by-step explanation:

5 is a coefficient of x^0

Mrs. Bogaczyk got bored and decided to go on an Amazon spending spree! She bought 3 pairs of flip flops for $14.95 each, a sundress for $21.50 and two tanks tops...One that was $9.99 and one that was $15.44. The tax came to $7.34 but shipping was free. How much did Mrs. B. Spend altogether? If the budget for spending was $100, how much money does Mrs. B. Have left?

Answers

Step-by-step explanation:

3 pairs of flip flops = 14.95 x 3 = 44.85

Total amount spent = 44.85 + 21.50 + 9.99 + 15. 44 = 91.78

After adding tax = 91.78 + 7.34 = 99.12

Mrs B spent 99.12 altogether

Budget = 100

Then money left = 100 - 99.12 = 0.88

Find the length of DE

Answers

Answer:20

Step-by-step explanation:

Find the GCF of the numbers 16 and 72

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The Greatest Common Factor of two numbers is the largest whole number that goes into both of them. To find it, we can lay out all the factors of each number and pick the largest one.

Factors of 16: 1, 2, 4, 8, 16

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The largest number that shows up on both lists of factors is 8, so the GCF of 16 and 72 is 8.

Find the value of u. If the volume is 560

Answers

Answer:

10 ft

Step-by-step explanation:

V = l*w*h

560 = 7*8 *u

560 = 56u

divide each side by 56

560/56 = 56u/56

10 =u

There are 30 fruits, all apples and peaches, in a basket. Take out any three of them and at least one will be an apple. How many peaches might there be in the basket?

Answers

Answer:

There are a maximum of 2 peaches in the basket.

Step-by-step explanation:

There are 30 fruits in a basket, all apples and peaches.

If 3 fruits are taken out of the basket, it is said that at least one of the 3 fruits would be an apple.

For this to be possible, it means, picking 3 fruits, at random from the basket guarantees at least 1 of them being an apple.

This means that the maximum number of peaches obtainable from the basket is 2, to guarantee a sure case of the last fruit of 3 selected fruits being an Apple. There has to be a minimum of 28 apples in the basket for this statement to be absolutely non-contestable.

Hope this Helps!!!

Answer:

max=2 peaches

Step-by-step explanation:

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