When a child is born, her grandfather decides to put $100 in an account that earns interest. He plans to make no other deposits or withdrawals for 18 years. When the child turns 18 years old, the money in the account will be a birthday gift. The grandfather is choosing between two options:

Option 1: An account that grows by 10.5% each year.
Option 2: An account that grows by $20 each year.

Which option will result in a better 18th birthday gift? Explain your reasoning.

Answers

Answer 1

Answer:

option (1) is a better 18th Birthday gift of child by Grandfather.

Step-by-step explanation:

Amount deposited in bank at time of birth by Grandfather is $100.

And there is no other deposits and withdrawals for 18 years.

So,

                          Principal amount =$100

                                             Time = 18 years

              Rate of interest of bank = 10.5%

Option 1:- An account That grows by 10.5% each year

we know that Bank give compound interest on the deposit amount

then                   Compound interest = C.I=P(1+r) with an exponent of t

                                  C.I= 100(1 + 10.5 over 100)with an exponent of 18

                                  C.I= 100*6.0328

                                  C.I= $603.28

Option 2:- An account that grows by $20 each year

Here,

                   Amount credited in account for 18 years = $20

So,                Total amount after completion of 18 years = 10+18*20

                                                                                         =460

Hope this helped <3

Answer 2

The child turns 18 years old, and the money in the account will be a birthday gift is a better 18th Birthday gift for a child by a Grandfather.

The amount deposited in the bank at the time of birth by Grandfather is $100.

And there is no other deposits and withdrawals for 18 years.

Principal amount =$100

Time = 18 years

Rate of interest of bank = 10.5%

Option 1:- An account That grows by 10.5% each year

We know that Bank give compound interest on the deposit amount

What is the formula for compound interest?

Compound interest = C.I=P(1+r) with an exponent of t

C.I= 100(1 + 10.5 over 100)with an exponent of 18

C.I= 100*6.0328

C.I= $603.28

An account that grows by $20 each year

The amount credited in the account for 18 years = $20

The total amount after completion of 18 years = 10+18*20

 The total amount after completion of 18 years=460                                                                    

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Related Questions

Help please like this is due in 30 minutes if you don’t know don’t answer

Answers

Answer:

Step-by-step explanation:

6 no answer 0,9

7 no answer -3,-10

8 no answer -10,2

9 no answer 2,0

hope this helps u!!

This Stem-and-Leaf Plot shows the number of people who attended a local nine-day carnival.

Which statement is not true about this data set?

A. The range is 50 people.
B. The median is 65 people.
C. The mean is 65 people.
D. The mode is 65 people.

Answers

Answer:

C) this is the false statement

Step-by-step explanation:

data set in list form:

35, 42, 45, 55, 65, 65, 68, 76, 85

Range: 85-35 = 50

Median: 65

Mean: 536/9 = 59.5

Mode:  65

The statement that is not true about this data set is C. The mean is 65 people.

This Stem-and-Leaf Plot shows the number of people who attended a local nine-day carnival.

The data set in list form:

35, 42, 45, 55, 65, 65, 68, 76, 85

How to find the mean and median of a data?

Mean is the ratio of sum of the observations to the total number of observations.

Mean: 536/9 = 59.5

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.

Median: 65

Range = Maximum value of the data set - Minimum value of the dataset

Range: 85-35 = 50

Mode is the number in given data that occurs frequently.

Mode:  65

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Hayden wants to find out what grade he must receive on his next math test in order to receive a 90 on his report card. His current math test grades are a 90, 89, 91, and 92. Which measure of center would be best for him to use

Answers

Answer: Mean

Step-by-step explanation:

Mean is best used when the numbers in the data set are close together and the number of outliers are limited because outliers will either increase or decrease the mean such that it would not be a true representation of the data set.

In cases like the above however where the numbers are generally in the same range, the mean would provide a center measure that is the most representative because it would simply be a simple average of the numbers.

3. Three resistors with values of 3 Ω, 4 Ω and 5 Ω are connected to a 12 V battery.
a. Draw the circuit.



b. Calculate the equivalent resistance of the circuit.


c. Calculate the current through the battery.


d. How much current is passing through each resistor?


e. Calculate the voltage drop across each resistor.



f. How does the voltage drop across each resistor compare to the voltage of the battery?


4. Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.

Answers

Answer:

I think it's 4

Step-by-step explanation:

Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.

What is the slope of the line on the graph below?
Options:
A.-1/2
B.1/2
C.1
D.2

Answers

Answer:

2

Step-by-step explanation:

PLEASE!!! I JUST REALLY NEED HELP RIGHT NOW! T∆T
Using the 45o -45o -90o triangle theorem, solve this triangle.​

Answers

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45 =opposite /hypotenuse

1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)

24[tex]\sqrt{2}[/tex]=k

Which function describes the sequence 4, 12, 36, 108, ... for n = 1, 2, 3, 4...?

a) f(n) = 2" + 1

b) f(n) = 3n

c f(n) = (n − 1)2 + 3

d) f(n) = 4.3"-1

Answers

Answer:

d) f(n) = 4 . 3^(n-1)

______________

The second item for a restaurant is a circular pancake. They make 6 inch diameter
pancakes and charge $1.50 per pancake. They want to make 8 inch diameter
pancakes, how much should they charge for this larger pancake?

Answers

If you divide $1.50 by 6 you get .25 cents. .25 x 8 = $2.00. That would be the amount you should charge. $2.00

I need help thank you!
(7x + 14)
(15x - 4)

Answers

Answer:

(7x + 14)° = 84°

(15x - 4)° = 146°

Step-by-step explanation:

62° + (7x + 14)° = (15x - 4)°

62° +7x + 14 = 15x - 4

15x - 7x = 62 + 14 + 4

8x = 80

x = 10

Therefore, exterior angle (15x - 4)° = 146°

                interior angle (7x + 14)° = 84°

Which set of shapes could be used to form a net for a square pyramid?
1 square and 4 triangles
2 squares and 4 triangles
1 square and 4 rectangles
2 squares and 4 rectangles

Answers

Answer:

1 square and 4 triangles

Step-by-step explanation:

Answer:

The answer is (A) or 1 square and 4 triangles .

Step-by-step explanation:

Looking at a picture of a square pyramid would help to answer this question. (Btw sorry if im late) Stay safe<3 .

which one is it?‼️‼️

Answers

C is the correct answer I had this question before

Answer:

C

Step-by-step explanation:

20 ÷ 5 = 4

24 ÷ 6 = 4

28 ÷ 7 = 4

32 ÷ 8 = 4

So the correct answer is C

need help quickly please!

Answers

Answer:

86

Step-by-step explanation:

Considering that it is a triangle ABC which means AB = AC + BC AB = 48 + 38 = 86

 I think that's it I hope it will help you

If you doubled joes age and added 10 years he would still be younger than his uncle. His uncle is 51. Use inequalities to find how old Joe is.

Answers

Answer:

He is 20 at oldest, or [tex]x\leq 20[/tex]

Step-by-step explanation:

The first step in finding a possible age is:

Subtract 10 from 51, and you get 41. Divide by 2, and you get about 20.5.

This means Joe is younger than or 20 years old.


You want to make five-letter codes that use the letters A, F, E, R, and without repeating any letter. What is the probability that a randomly chosen
code starts with Mand ends with E?

Answers

Answer:

Probability [chosen code starts with M and ends with E] = 0.05

Step-by-step explanation:

Given:

Total alphabet = A, F, E, R, and M

Creating name without repeat

Find:

Probability [chosen code starts with M and ends with E]

Computation:

Probability Name start with M = 1 / 5

Probability Name start with E = 1 / (5-1)

Probability Name start with E = 1 / 4

Probability [chosen code starts with M and ends with E] = Probability Name start with M x Probability Name start with E

Probability [chosen code starts with M and ends with E] = (1/5)(1/4)

Probability [chosen code starts with M and ends with E] = 1 / 20

Probability [chosen code starts with M and ends with E] = 0.05

find the measurement of DAE​

Answers

Can you please give attachments? Thank you :)

which numbers chart follows the rule add 7

Answers

7,14,21,2835,42,49,56

Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Jack make if he had 28.88 lbs of clay left over?


Please help me I really need the answer I have to do 6 more assignments and Helping me would really help me finishing.​

Answers

Given :

Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug.

To Find :

How many mugs did Jack make if he had 28.88 lbs of clay left over.

Solution :

Clay required to make 1 mug, r = 0.72 lbs.

Amount of clay left after making sculpture is, T = 28.88 lbs.

Now, number of clay mug Jack can make is :

[tex]n = \dfrac{28.88}{0.72}\\\\n= 40.11[/tex]

Since, number of mug cannot be in decimal, so we take the floor value.

Therefore, number of mug that can be prepared is 40 .

Which choice is equivalent to the expression below?
√20 + √45

Answers

Answer :

→ √20 + √45

→ 2√5 + 3√5

Taking √5 as common.

→ (2 + 3)√5

55

Therefore, option A is correct.

What is the area of the shape?​

Answers

Answer:

20 is the answer :))))

20

The answer is 20!!!!

the diameter of a circle is 24 meters what is the circumference

Answers

Answer:

The circumfrence is 75.36

Step-by-step explanation:

I hope this helps

Hopes this helps:

Answer: The circumference of a circle with diameter 24 is 75.4(*)

The tree diagram shows Leila's choices for dinner at a restaurant. How many possible dinner combinations exist?

Answers

Based on the tree diagram, there are a total of 12 possible dinner combinations for Leila.

Define combinations?

In mathematics, combinations are a way to count the number of ways to choose a subset of items from a larger set, where the order of the chosen items does not matter. The number of combinations is often denoted using the symbol "n choose k", where n is the total number of items and k is the number of items being chosen.

To see why, we can count the number of paths through the tree diagram. Starting at the top, there are 2 choices for the type of dips: Guacamole dip or Cheese dip. For each of these choices, there are 2 choices for the dessert : Burrito and Enchilada. Finally, for each main course, there are 2 choices for the main course: Chicken and Beef.

Multiplying the number of choices at each step, we get:

2 (choices for dips) x 2 (choices for dessert) x 2 (choices for main course) = 8 possible dinner combinations.

Therefore, there are 3 possible dinner combinations for Leila.

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do you know how to solve this?

Answers

a = 36 yards

Explanation:
According to the Pythagoras Theorem,
45^2 = 27^2 + a^2
2025 = 729 + a^2
2025 - 729 = a^2
1296 = a^2
a = sqrt 1296
a = 36

Answer:

a) 36yards

Step-by-step explanation:

I just took the test

Given the system of linear equations:
4x + 6y = 24
2x+y=8.
Which equations (select all) are a result from ADDING and/or SUBTRACTING the TWO
equations together?
6x + 7y = 32
2x + 6y = 16
2x + 5y = 16
63 - 6y = 32

Answers

6x+7y=32 and 2x+5y=16

if you add the two equations you get the first answer and if you subtract the two equations you get the second answer

find the slope for me please (2, -5) (7, -5)

Answers

Answer:

slope=y2-y1/x2-x1

=-5+5/7-2

=0/5

=0

Step-by-step explanation:

A spherical dodge ball has a radius r and a tennis ball has a radius 0.3r? What is the difference in volume between a dodge ball and a tennis ball?

Answers

Answer:

4/3π(0.973r³)

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Given the radius of dodge ball rd = r

radius of tennis ball rt = 0.3r

Taking their difference

Volume difference  = 4/3πrd³ - 4/3πrt³

Volume difference  = 4/3π(r)³ - 4/3π(0.3r)³

Volume difference  = 4/3π(r³ - 0.027r³)

Volume difference = 4/3π(0.973r³)

Hence the differmce in volume is  4/3π(0.973r³)

(x-4) (2x+5)(x+7) (x+7)(3x-4)(2x-5)

simplify it pls​

Answers

Answer: 12x^6+104x^5-319x^4-2890x^3+4661x^2+14000x-19600 sorry I don't have enough time to explain I got to go hope that helps tell me if I was right or not bye!

Step-by-step explanation:

Which of the following best describes the shape of the distribution below ?
A) Uniform
B) right skewed
C) bell shaped
D) left skewed

Answers

Answer:

Its right skewed

Find the area of the shape ​

Answers

ITS GOING TO BE 18* because it can be reversed and simple

Which graph below shows a line that contains ordered pairs that are solutions of the equation shown?

y = –x + 4

Answers

Given:

The equation is:

[tex]y=-x+4[/tex]

To find:

The graph of the line that contains ordered pairs that are solutions of the given equation.

Solution:

We need to find the graph of the given equation.

We have,

[tex]y=-x+4[/tex]

At [tex]x=0[/tex], we get

[tex]y=-0+4[/tex]

[tex]y=4[/tex]

So, the x-intercept of the given equation is at point (0,4).

At [tex]y=0[/tex], we get

[tex]0=-x+4[/tex]

[tex]x=4[/tex]

So, the y-intercept of the given equation is at point (4,0).

From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).

Therefore, the correct option is C.

hey! i’ll give brainliest pls help.

Answers

Answer:

C) The fossil is between 10 million and 50 million years old.

Step-by-step explanation:

Since Layer B is located between Layer A and C, option C is the only reasonable answer because Layer A is 50 million years old and Layer C is 10 million years old.

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