Which statements about doubling an investment are true? Check all that apply.
An investment of $5,000 will double in 6 years at an annual compound interest rate of 12%.
An investment of $1,000 will double at an annual compound interest rate of 18% in 6 years.
An investment of $350 will double in 9 years at a compound interest rate of 8%.
An investment of $2,000 will double at a simple interest rate of 5% in 20 years.
An investment of $700 will double in 12 years at a simple interest rate of 6%.
Answers
this is the correct answer
Answer:
statement A, C, D, are true.
Step-by-step explanation:
We check all the statements by the rule of 72 to find which statement about doubling an investment are true.
Formula we use = [tex]\frac{72}{R}[/tex] R = Rate of interest
Statement A :
An investment of $5,000 will double in 6 years at an annual compound interest rate of 12%.
[tex]\frac{72}{12}[/tex] = 6 years
It will take 6 years to double the investment. This statement is true.
Statement B :
An investment of $1000 will double at an annual compound interest rate of 18% in 6 years.
[tex]\frac{72}{18}[/tex] = 4 years
It will take 4 years to double the investment. This statement is not true.
Statement C:
An investment of $350 will double in 9 years at a compound interest rate of 8%.
[tex]\frac{72}{8}[/tex] = 9 years
It will take 9 years to double the investment. This statement is true.
Statement D :
An investment of $2000 will double at a simple interest rate of 5% in 20 years.
Formula for Simple interest = (PRT)
I = (2000 × 0.05 × 20) = $2000
So the amount will be 4000 in 20 years. This statement is true.
Statement E :
An investment of $700 will double in 12 years at a simple interest rate of 6%
Interest = ( 700 × 0.06 × 12 ) = $504
Amount after 12 years 700 + 504 = $1204. This statement is not true.
Related Questions
What is the value of the expression? (−3)3+6^3/12 Enter your answer in the box.
(6^3/12 is a fraction) and (6^3 means 6*6*6)
Answers
-9 + 18 = x
9 = x
Solve 3kx + 24 = 9kx for x.
A. x= 4/k
B. x= -2/k
C. x= 2/k
D. x= -4/k
Answers
Adonica made snacks for her friends by putting equal amounts of trail mix into small bags. If she started with 3 4/5 cups of trail mix and put 3/4 cup into each bag, how many complete bags did she make?
Answers
Answer:
5 bags
Step-by-step explanation:
Given,
The total number of cups in trial mix = [tex]3\frac{4}{5}[/tex],
The number of cups in each bag = [tex]\frac{3}{4}[/tex]
So, the number of bags,
[tex]=\frac{\text{Total cups}}{\text{Cups in each }}[/tex]
[tex]=\frac{3\frac{4}{5}}{\frac{3}{4}}[/tex]
[tex]=\frac{\frac{19}{5}}{\frac{3}{4}}[/tex]
[tex]=\frac{76}{15}[/tex]
[tex]=5\frac{1}{15}[/tex]
Hence, 5 complete bags would made.
MATH QUESTION IM WASTING POINTS HURRY PLEASE
Answers
the deepest point in the Indian Ocean is Java trench which is 25344 Ft below sea level elevations below sea level are represented by negative numbers write the elevation of java Trench
Answers
It says on the first three days of their trip,the Smiths drove 408 miles,347 miles,and 419 miles.Altogether how far did they drive in three days
Answers
What is 0.9 1/ 10th of
Answers
i dont know because you worded it weird
What 2 facts can you double to find 8x4? Explain.
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A number x divided by -9 is -16
Answers
X/-9 = -16
Now solve.
Multiply both sides by -9. This gives you:
X = 144
So, x = 144
Which mixed number is equivalent to the improper fraction?
14/9
A. 1 5/9
B. 2 5/9
C. 2 4/9
D. 1 4/8
Answers
Letter "A" would be the mixed number equivalent to the improper fraction 14/9.
To turn 14/9 into a mixed number, you would see how much the denominator (9) goes into the numerator (14) without going over. In this case, 9 can only go into 14 ONCE, because if it goes in twice, that would be more than 14, which is 18.
So, once you have how many times it can go over, that number is your whole number 1.
To get the fraction part, simply subtract the numerator (14) from 9 (the denominator times how much times it goes over {1}). And that will be 5. Then put the answer over 9. 5/9
Put the fraction and whole number together, and the mixed number is 1 5/9, which is A.
Hope this helps!
May
Pedro buys 4 books at the fair for $7 each. Pedro hands the cashier 3 ten dollar bills. how much change would he receive? write an equation to solve. use c to represent the unknown.
Answers
The problem involves calculating the change received when Pedro buys four books at $7 each and pays with $30. The equation to solve this is c = $30 - $28. Therefore, Pedro receives $2 change.
Explanation:The subject of this question is a straightforward mathematics problem involving buying books and receiving change. We know that Pedro buys 4 books that each cost $7 and that he gives the cashier $30. To find out the change, represented as c , Pedro will get, we first figure out the total cost of the books: 4 books x $7 per book equals $28. Pedro pays with $30 so the calculation for the change would be: $30 (the amount Pedro paid) - $28 (the total cost of the books). This gives us the equation c = $30 - $28. Therefore, Pedro would receive $2 in change.
Learn more about Change Calculation here:https://brainly.com/question/32819635
Pedro buys 4 books for $28 and pays with $30, so he would receive $2 in change. The equation to represent this is: c = $30 - $28.
To calculate the change Pedro receives, we can set up an equation where c represents the unknown change. Pedro buys 4 books at $7 each, so the total cost of the books is 4 books x $7/book = $28. He hands the cashier 3 ten dollar bills, which equals $30. The equation to find the change is then:
c = $30 - $28
Solving this equation, we get:
c = $2
So, Pedro would receive $2 in change after buying the books.
In 1987, the population of the United States was approximately 2.44 x 108 people. The national debt of the United States in that year was approximately 2.50 x 1012 dollars. In scientific notation, how much debt is this per person?
A)
1.0246 x 10−4 dollars
B)
1.0246 x 1020 dollars
C)
1.0246 x 108 dollars
D)
1.0246 x 104 dollars
Answers
1.0246 x 10^4 dollars
i will give brainliest to the best answer to this question: Each year, the Department of Water Works measures the chloride concentration level in the water. The first year, they found the chloride concentration changed by −135 mg/L . It is estimated that the chloride concentration will change −2115 mg/L the next year.
What is the total change that will likely occur in 2 years?
Enter your answer as a simplified mixed number in the box.
______mg/L
Answers
Answer:
The total change that will likely occur in 2 years is [tex]=-3\frac{2}{3}[/tex] mg/L
Step-by-step explanation:
Given : The first year, they found the chloride concentration changed by [tex]-1\frac{3}{5}[/tex] mg/L .
It is estimated that the chloride concentration will change [tex]-2\frac{1}{15}[/tex] mg/L the next year.
To find : What is the total change that will likely occur in 2 years?
Solution :
The chloride concentration changed by [tex]-1\frac{3}{5}=-\farc{8}{5}[/tex] mg/L in first year.
The chloride concentration will change [tex]-2\frac{1}{15}=-\frac{31}{15}[/tex] mg/L the next year.
The total change that will likely occur in 2 years is
[tex]=-\frac{8}{5}+(-\frac{31}{15})[/tex]
[tex]=\frac{-24-31}{15}[/tex]
[tex]=\frac{-55}{15}[/tex]
[tex]=\frac{-11}{3}[/tex]
In a mixed fraction - [tex]=-3\frac{2}{3}[/tex] mg/L
The answer is for sure Answer: - 3 2/3
the two goes on top of the three
in the figure below line DE is parallel to line FG and transversal AG
Answers
Answer: The answer is 147° and 33°.
Step-by-step explanation: We are given a figure in which the line DE is parallel to the line FG and AG is a tranversal. We are to find the value of 'x' and 'y' from the figure.
Also, given that
∠ABE = (5y - 18)°.
We can see from the figure that ∠DBG and ∠ABE are vertically opposite angles, so they must be equal.
That is,
[tex]\angle DBG=\angle ABE\\\\\Rightarrow x=5y-18\\\\\Rightarrow 5y-x=18.~~~~~~~~~~~~~~~(i)[/tex]
Also, since ∠DBG and ∠FGB are interior angles on the same side of the transversal, so their sum is 180°.
That is
[tex]\angle DBG+\angle FGB=180^\circ\\\\\Rightarrow x+y=180.~~~~~~~~~~~~~~~~~(ii)[/tex]
Adding equations (i) and (ii), we get
[tex]y+5y=18+180\\\\\Rightarrow 6y=198\\\\\Rightarrow y=33,[/tex]
and from equation (ii), we get
[tex]x=180-33=147.[/tex]
Thus, x° = 147° and y° = 33°.
What is the y-intercept of the function f(x) = –x + ?
Answers
then the y-intercept is b- that means x=0 and y=b
but x+? is???
luisa sells stuffed animals. she sells a stuffed elephant for $34.90, and the sales tax is 6% of the sale price. about how much is the sales tax on the elephant?
Answers
Hope this helps!
To find the sales tax on a $34.90 item with a 6% tax rate, convert 6% to a decimal (0.06) and multiply by the item cost, resulting in a sales tax of about $2.09.
Luisa sells a stuffed elephant for $34.90 and needs to calculate the sales tax, which is 6% of the sale price. To find the sales tax, first convert the percent to a decimal by dividing by 100, which makes it 0.06. Then multiply the sale price by this decimal:
$34.90 x 0.06 = $2.094
Now, you need to round $2.094 to the nearest penny, which is $2.09. Therefore, the amount of sales tax on the stuffed elephant is approximately $2.09.
1/8(−8c+16)−1/3(6+3c) Find the difference
Answers
Answer:
its -2c
Step-by-step explanation:
Given 3x <9 Choose the solution set
Answers
x < 3
The solution is x < 3
Answer:
[tex]x<3[/tex] or [tex](-\infty,3)[/tex]
Step-by-step explanation:
We have been given an inequality [tex]3x<9[/tex]. We are asked to find the solution set for our given inequality.
We will divide both sides of our inequality by 3 to solve for x.
[tex]\frac{3x}{3}<\frac{9}{3}[/tex]
[tex]x<3[/tex]
Therefore, the solution for our given inequality will be all values of x less than 3, that is [tex](-\infty,3)[/tex] in interval notation.
I am a mutiple of 60. I am between 400 and 600 . I am 40 away from a multiple of 100. who am i
Answers
The #s are 420, 480, and 540.
None of them are 40 away from a multiple of 100.
However, it is was between 300 and 600, the answer would be 360.
Jackson has 2,000 baseball cards in his collection. Gabe has 1/10
as many baseball cards in his collection as Jackson. How many baseball cards does Gabe have in his collection?
Answers
Answer:
200 cards
Step-by-step explanation:
Given: Jackson has 2,000 baseball cards in his collection. Gabe has [tex]\frac{1}{10}[/tex] as many baseball cards in his collection as Jackson.
To Find: How many baseball cards does Gabe have in his collection.
Solution:
Total number of cards Jackson has in his collection [tex]=2000[/tex]
Let number of cards Gabe has =[tex]\text{x}[/tex]
Now,
Number of cards Gabe has [tex]= \frac{\text{total cards Jackson has}}{10}[/tex]
[tex]\text{x}= \frac{\text{total cards Jackson has}}{10}[/tex]
putting values
[tex]\text{x}= \frac{2000}{10}[/tex]
[tex]\text{x}= 200[/tex]
Hence Gabe has 200 baseball cards in his collection.
There are 200 baseballs in Gabe's collection
Total number of baseball in Jackson's baseball = 2000
Gabe's fraction of Jackson's baseball = 1/10
The Number of baseball in Gabe's collection is :
[tex](2000 \times ( \frac{1}{10} )) = \frac{2000}{10} = 200[/tex]
Therefore, the Number of baseball in Gabe's collection is 200.
Learn more : https://brainly.com/question/18109354
express this decimal as a fraction.
1.21212121.......
Answers
a chair is placed several feet from a fire in a fireplace the fireplace has a glass screen the side of the chair facing the fireplace gets warm because of conduction convection or radiation??? will give brainliest
Answers
The warmth felt by the chair facing the fireplace is primarily due to radiation, where heat from the fire emits infrared radiation that is subsequently absorbed by the chair surface.
Explanation:The side of the chair facing the fireplace gets warm primarily because of radiation. Radiation is the process whereby heat is transferred through electromagnetic waves. In this case, heat from the fire emits infrared radiation, which travels through the air until it strikes the surface of the chair and is absorbed, causing the chair to warm up.
In heat transfer, there are three main methods: conduction, convection, and radiation.
Conduction is the process whereby heat is transferred through direct contact of objects, while convection involves the movement of warm air or fluids. Conduction and convection play minor roles in this scenario -- conduction would occur if the chair were in contact with the warm air, and convection is mainly responsible for heat transfer within the air of the room.
Learn more about Heat Transfer here:
https://brainly.com/question/13433948
#SPJ2
Ivan and Jeff buy a package of 8 pens for $4.00. Ivan wants 5 of the pens, and Jeff wants 3. How much should each student pay?
Answers
.5 * 5 = 2.50
.5 * 3 = 1.50
Ivan pays $2.50 and Jeff pays $1.50
1.6 x 10^8)(5.8 x 10^6)
---------------------------
(4 x 10^6)
Expreesed in Scientific Notataion
Answers
(160000000)(5800000)/4000000=232000000. And then convert it back.
What is the range of the function on the graph?
Answers
Look at the graph. The vertex is point (2, -3).
The graph does not go lower than that point.
The lowest y-coordinate is -3.
The graph goes up forever on both sides until infinity.
The range is all numbers greater than or equal to -3.
The range of the given function from the given graph are: all values of y that are greater than or equal to -3.
What is the Range of a Function?Range of a function are plotted on the vertical axis (y-axis), and is the set of y-values in the function.
In the graph given, the y-values of the function on the y-axis are -3 and all values greater than -3.
Therefore, the range of the given function from the given graph are: all values of y that are greater than or equal to -3.
Learn more about range of a function on:
https://brainly.com/question/7644636
Which is the simplified form of (2ab/a^-5 b^2)^-3?
Answers
1) [tex]( x^{a} )^{c} = x^{a*c} [/tex]
2) [tex] x^{a} * x^{b} = x^{a+b} [/tex]
3) [tex] \frac{ x^{a} }{x^{b}} = x^{a-b} [/tex]
an x is a base - the law is valid if the bases are the same number!
The solution in attachment :)
Answer:
A on e2020/edge
Step-by-step explanation:
Imagine you are drawing a comic strip showing how to solve the problem 72 divided into 4 to new 4th graders. Create a script to explain how you can keep dividing after getting a remainder of 3 tens in the first step
Answers
First, we divide first the tens digit which is 7 by 4. We get 1 and a remainder of 3 tens. Meaning each of the egg basket is having at least 10 quail eggs.
Then, 3 tens will be coupled with 2 thus making 32. We further divide the resulting number with 4. We know that four (4) eights make up to 32. In equation, 8+8+8+8 = 32 or 4x8 = 32. Thus, 32/4 will give us the quotient of 8. Meaning each basket will get 8 eggs.
Adding all up, 10+8 eggs will give us 18 eggs. Therefore, each basket will contain 18 eggs. 72 divided by 4 is 18.
A marathon is 131 over 5 miles long. If for people divide up the distance equally, how many miles does each person need to run?
Answers
Answer:
6.55 miles to run
Step-by-step explanation:
A distance of marathon is = [tex]\frac{131}{5}[/tex] miles long.
or [tex]26\frac{1}{5}[/tex] miles
If four people divide up the distance equally.
To calculate the distance each person need to run we will divide [tex]\frac{131}{5}[/tex] by 4
= [tex]\frac{\frac{131}{5} }{4}[/tex]
= [tex]\frac{131}{5}[/tex] × [tex]\frac{1}{4}[/tex]
= [tex]\frac{131}{20}[/tex]
= [tex]6\frac{11}{20}[/tex]
= 6.55 miles
each 4 person need 6.55 miles to run.
if 8=2, 7=31 and ead=102,find 9
Answers
31 + 22 + m<9 = 102
53 + m<9 = 102
m<9 = 49
Sarah converts the number 1,500,600 into scientific notation she writes 1.5006 x 10^4 which of the following statements is true?
A. Sarah is correct
B. Sarah is not correct because the exponent should be 6
C. Sarah is not correct because 1.5006 should be 1.5
D. Sarah is not correct because the exponent should be -4
Answers
Answer:
Option B. is the answer.
Step-by-step explanation:
Sarah converts the number 1500600 into scientific notation. She writes [tex]1.5006\times 10^{4}[/tex].
Therefore [tex]1.500600=1.5006\times 1000000=1.5006\times 10^{6}[/tex] is the correct representation.
Sarah should have written exponent as 6 in place of exponent 4.
Therefore Sarah is not correct.
Option B. is the correct option.