Answer:
see below
Step-by-step explanation:
principal = $5,000
interest rate = 2.3%
account A: compound monthly for 10 years
account B: compound continuously for 10 years
account A: compound monthly for 10 years
A = P (1 + r/12)^ r*t
= $5,000 (1 + .023/12)^ 12(10)
= $6,291.6
account B: compound continuously for 10 years
FVn = PV * e^r*t
= $5,000 * e ⁽⁰ ⁰²³ˣ¹⁰⁾
= $6,293
Gregory may chose account B. (but the difference is only $1.40)
Gregory may choose account B.
Given that,
Principal = $5,000 .The interest rate = 2.3% .Account A: compound monthly for 10 years .Account B: compound continuously for 10 years
Based on the above information, the calculation is as follows:
For Account A[tex]A = P (1 + r\div 12)^ {r\times t} \\\\= $5,000 (1 + .023\div 12)^ {12(10)}[/tex]
= $6,291.6
For account B
[tex]FVn = PV \times e^{r\times t}\\\\ = $5,000 \times e^ {0.023\times 10}[/tex]
= $6,293
Therefore we can conclude that Gregory may choose account B.
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State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation. The cost of dinner is $42 for three people and $98 for seven people
Answer:
144
Step-by-step explanation:
The independent variable in the linear relationship is the number of people.
The dependent variable in the linear relationship is the cost of the dinner.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Cost of dinner for 3 people = $42
Cost of dinner for 7 people = $98
The cost of dinner for one person = $14
Now,
The linear function for this relationship.
f(x) = 14x
Where x is the number of people and f(x) is the cost of the dinner.
Now,
The number of people is the independent variable.
The cost of dinner is the dependent variable.
Thus,
Independent variable = Number of people/
Dependent variable = Cost of the dinner.
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Find the inverse of the linear function.
anyone pls?
Answer:
A
Step-by-step explanation:
inverse means flipping the signs and the numbers of the function
Answer: x - 10/5 = y
What is the conjugate of the denominator (5 – V2)?
Answer:
5 + [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given a ± [tex]\sqrt{b}[/tex] , then the conjugate is
a ∓ [tex]\sqrt{b}[/tex]
Given
5 - [tex]\sqrt{2}[/tex] , then the conjugate is 5 + [tex]\sqrt{2}[/tex]
Square root -80 by using imaginary unit I
Stan has $95. He wants to buy as many movies as he can. All movies are originally
$12.00 and are on sale for 10% off. Tax is 5%
Answer:
Step-by-step explanation:
Each movie is $12.00. 10% off of 12% is 12-1.2 = 10.8
The final amount spent is 5%, that means we can multiply the end amount spend by 1.05
The maximum Stan can spend is $95
[tex](10.8m)*1.05\leq 95\\(10.8m)\leq 90.4762\\m \leq \frac{90.4762}{10.8}\\m\leq 8.3774[/tex]
Now, you can't buy 0.3 of a movie, so the most Stan can buy is 8 movies
An artist will use isometric transformations of square LMNO to create a symmetrical design with contrasting colors.
Which statement is true?
If LMNO is reflected over the y-axis, the small center square in the image will have a lesser area.
It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a lesser area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a greater area.
Answer:
The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
Step-by-step explanation:
The other answers state that the canter square will change size when reflection doesn't do that. Reflection keeps the size and shape of the object. It only changes the positioning.
I hope this helps. Brainliest would be nice to.
Answer:
The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
Step-by-step explanation:
help me out I only need the second part
Answer:
Step-by-step explanation:
when both are 0, because that means that the graph goes trough the origin so the x-intercept is at (0,0) and the y-intercept is at (0,0)
What is the APR on a loan with a monthly periodic rate of 1.75%
PLEASE PLEASE HELP GIVING BRAINALIST AND EXTRA POINTS FOR FIRST PERSON
Which number can fill in the blank below?
4.3 < _________ < 4.5
A.440%
B.44%
C.4.4×10^1
D.4.4%
Answer:
A
Step-by-step explanation:
440 percent is the same thing as 4.4
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
10
19
Help needed
Answer:
x[tex]x=\sqrt{19^2-10^2}=\sqrt{361-100} =\sqrt{261} \approx16.15549\\\approx16.16[/tex]
Step-by-step explanation:
x=\sqrt{19^2-10^2}=\sqrt{361-100} =\sqrt{261} \approx16.15549\\\approx16.16
The requried measure of length x in the right triangle is 16.15 units.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.
Here,
For the given right-angle triangle,
Applying the Pythagoras theorem,
hypotenuse² = perpendicular² + base²
19² = 18² + x²
x = √19² - 10²
x = 16.15
Thus, the requried measure of length x in the right triangle is 16.15 units.
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1. It takes 17 minutes
to ride 6 1\4 miles on a
bike. How many miles
can Peter ride in 1 hour?
Answer:
21.6
Step-by-step explanation:
I think
Please help!
The chart below shows Mrs. Thompson's grocery bill. What is the average amount Mrs. Thompson spent on groceries?
A. $58
B. $68
C. $78
D. $340
Answer:
the answer is 68 give the other person brainliest
Step-by-step explanation:
Solve for r using literal equations methods
Answer:
option 4
Step-by-step explanation:
!PLEASE ANSWER FAST! !30 POINTS!
------------------------------------------------------------------------------------------------------------------
In the 1960s, the average price for an ear of corn was 4.17 cents. In the 1980s, the average price went up to 9.83 cents. How much did the average price go up?
4.97 cents
5.66 cents
7 cents
14 cents
------------------------------------------------------------------------------------------------------------------
I'm pretty dumb so I don't know the answer to this :b
so please answer this :(
Answer:
5.66
Step-by-step explanation:
Answer:
im pretty sure you just subtract 4.17 from 9.63 LOL so 5.66 HAHA
Step-by-step explanation:
help me its an algebra 2 question 2. John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?
A. 1 hour 12 minutes
B. 1 hour 15 minutes
C. 1 hour 20 minutes
D. 1 hour 30 minutes
E. 1 hour 35 minutes
Answer:
A
Step-by-step explanation:
John can mow the same lawn in 3 hours.
In 1 hour he can mow 1/3rd of the lawn.
In 1 hour they can together mow (1/2+1/3)=5/6th of the lawn.
Together they can mow the lawn in 6/5 hours=1.2 hours.
I hope this helped, please mark Brainliest, thank you!!
Time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.
The correct option is (C).
What is a algebra ?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Given:
John can mow his lawn in 3 hours.
Julie can mow same lawn in 2 hours.
In 1 hour = 1/3rd of the lawn.
In 1 hour, together they can mow
= (1/2+1/3)
=5/6th of the lawn.
Hence, time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.
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A group of people planned to go to the amusement
park. Adult tickets are $45.00 and child tickets are $20.
There are two adults in the group. If the budget for the
trip is $600, what is the greatest number of children
that can attend.
Answer:the greatest amount of children that can go is 30
Step-by-step explanation:
$20 x 30= $600
Using the function in example 4, what is the y value (output) when x= -3?
Answer:
Step-by-step explanation:
y=x^2+1
y=(-3)^2+1
y=9+1
y=10
(x,y)-> (-3,10)
Geena is meeting her brother at a cafe on Bradford Rd and Blanco Rd. She is currently on the corner of Lafayette Ave. and Blanco Rd.
Her brother tells Geena that the shortest route is straight down Blanco Rd.
Geena disagrees. She thinks the shortest route is down Lafayette Ave., turn onto Smith St., then on Blanco Rd. until she reaches the cafe.
Who is correct? What is the difference in the two routes?
Answer:
THEY ARE BOTH IN DIFFERENT PLACES??
Answer:
.25
Step-by-step explanation:
first correct answer will get brainliest
Write the equation in point-slope form for the line that passes through the given point and has the given slope. (1, 2), slope 3
Answer:
y-y1 = m(x-x1)
y - 2 = 3(x-1)
y=3x-3+2
y=3x-1
Step-by-step explanation:
first you type down point slope formula
then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope
then you have to distribute the 3 to the x and the -1 and then isolate y
(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other
then you combine like terms 3x is alone and -3 +2 equals -1
there is your answer hope that works.
(EASY) I WILL MARK THE BRAINLYEST !!!
so, these problems are currently my last two problems. There were two rude people that answered them and didn't actually give me an answer and responded with "no". Can you guys please help me? These are the only two questions giving me problems at the moment. Thank you for taking the time to help me.
1) |5x+5|+22>57
solve for both absolute values
( it would help if you could include how to graph it on a number line as well as the interbal notation )
2) I= prt
solve for I
Answer:
-8>x>6
Step-by-step explanation:
I 5x+5I +22> 57subtract 22 on both sides
I5x+5I >35
SPLIT
5x+5>35 5x+5< -35 ( flip sign and 35 negative)
5x>30 5x< -40
x>6 x< -8
Draw a number line Write zero in the middle
From zero count to the left until- 8 make an open circle because- 8 is not included From -8 draw an arrow to the left (because x is less than -8)
From zero count to the right until 6 Make an open circle bc 6 is not included. From 6 draw an arrow to the right (because x is more than 6)
PART 2 is not already solved?
If you need to solve fot t
Divide both parts by pr
t= (l/ pr)
find the mean of the following numbers 7 21 2 17 3 13 7 4 9 7 9
Answer:
9
Step-by-step explanation:
sum of the terms
mean=------------------------------
number of the terms
The mean of the numbers is 9.
Mean is a measure of central tendency. It is the average of a set of numbers. The value of the mean of a set of numbers can be determined by adding the given numbers together and dividing it by the total number.
Mean = sum of numbers / total numbers
Sum of numbers = 7 + 21 + 2 + 17 + 3 + 13 + 7 + 4 + 9 + 7 + 9 = 99
Total number = 11
Mean = 99 / 11 = 9
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Which shows the following numbers ordered from greatest to least?
0.5, 5/8, 65%, 3/5
A. 3/5, 5/8, 0.5, 65%
B. 0.5, 3/5, 5/8, 65%
C. 65%, 3/5, 0.5, 5/8
D. 65%, 5/8, 3/5, 0.5
I assume it's D, but I'm not fully sure.
Answer:
D You got it right. 65% 5/8 3/5 0.5
Help! I’m confused. Select all the rates that are unit rates
Answer:
The ones you have chosen are correct
Step-by-step explanation:
:)
The sum of the digits of a two-digit number is 8. The difference between the number and the reversed number is 10 more than the reversed number. Find the number.
Answer:
62
Step-by-step explanation:
Let the two digit number be XY
X+Y = 8
10X+Y - (10Y+X) = 10Y+X+10
10X+Y-10Y-X=10Y+X+10
8X-19Y=10
8(8-Y)-19Y=10
64-8Y-19Y=10
27Y=54
Y=2
The number is therefore 62.
The required two-digit number with sum of digits as 8 is 62.
Let us say the number is xy
What is the place value of x and y in xy?
The place value of digits, x and y in the number xy are 10 and 1 respectively.
So the number xy can be written as 10x+y
When the digits are reversed
The new number or reversed number obtained will be yx
So the new number yx can be written as 10y+x
Since the difference between the original number and the reversed number is 10 more than the reversed number.
So, (10x+y) - (10y+x) = 10 + (10y+x)
8x-19y =10.......(1)
Since the sum of digits is 8
So, x+y = 8......(2)
By solving equations (1) and (2) we get
x=6, y=2
So, the required number is xy i.e. 62.
Therefore, The required two-digit number with sum of digits as 8 is 62.
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The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of oil to gallons of gasoline is 7:19. There are 38 gallons of gasoline. How many ounces of oil are there? Group of answer choices
Answer:
14
Step-by-step explanation:
Let y represent the ounces of oil present
7/19 = y/38
19 y= 7×38
19y= 266
y= 266/19
= 14
Hence there are 14 ounce of oil present
so, these problems are currently my last two problems. There were two rude people that answered them and didn't actually give me an answer and responded with "no". Can you guys please help me? These are the only two questions giving me problems at the moment. Thank you for taking the time to help me.
1) |5x+5|+22>57
solve for both absolute values
( it would help if you could include how to graph it on a number line as well as the interbal notation )
2) I= prt
solve for I
Answer:
Step-by-step explanation:
Answer:
k
Step-by-step explanation:
shenika is inviting 7 friends to a party. if each friend will get 5 cookies and each box has 12 cookies. how many boxes does shenika need to get
Answer:
Shenika invites 7 friends and each one gets 5 cookies.
= 7*5
= 35
Based on above answer, Shenika will need a total of 35 cookies for all.
-----------------------------------------------------------------------------------------------------------
Each box has 12 cookies.
Total cookies = 35
Let the number of boxes be x.
12*x = 35
x = 35/12
x = 2.9
This means she would need 3 boxes.
In the statement 10 + 0 = 0 + 10 how would you describe the zero (0)?
geniuses please answer this.....step by step explanation
Logarithm base 8 of 512 is 3
Answer 3