Answer:
`1. You deposit $950 in an account that earns 9% annual interest compounded daily.
2.You deposit $1000 in an account that earns 8% annual interest compounded daily.
3. You deposit $1000 in an account that earns 9% annual interest compounded semiannually.
Step-by-step explanation:
Trick question, number 3 says semiannually so it is only twice a year, so it is the least. In math papa or any algebra calculator, put in the two equations and compare which is greater, in this case, y = 950(1.09)^10 is greater than y=1000(1.08)^10
Accounts according to their values after 10 years, from greatest to least. are Account 3, Account 1, Account 2 and Account 4.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The formula for daily compounding is:
[tex]A = P(1 + r/n)^{nt}[/tex]
where A is the future value,
P is the principal amount,
r is the annual interest rate,
n is the number of times the interest is compounded per year, and t is the time in years.
When we deposit $950 in an account that earns 9% annual interest compounded daily.
A = 950(1 + 0.09/365)³⁶⁵⁰
= $2,436.24
Deposit $1000 in an account that earns 8% annual interest compounded daily.
A = 1000(1 + 0.08/365)³⁶⁵⁰
= $2,223.97
Deposit $1000 in an account that earns 9% annual interest compounded semiannually.
A = 1000(1 + 0.09/2)²⁰
= $2,471.52
Deposit $1000 in an account that earns 10% simple interest.
The formula for simple interest is:
A = P(1 + rt)
where A is the future value, P is the principal amount, r is the annual interest rate, and t is the time in years.
Using this formula, we get:
A = 1000(1 + 0.10(10))
= $2,000
Now we can order the accounts from greatest to least based on their future values after 10 years:
Account 3: $2,471.52
Account 1: $2,436.24
Account 2: $2,223.97
Account 4: $2,000
Hence, accounts according to their values after 10 years, from greatest to least. are Account 3, Account 1, Account 2 and Account 4.
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The school band is having its end-of-year dinner at a local restaurant. The director wants to give the server a 20% gratuity, and the sales tax is 8.25%. He
will use the amount of the bill to find each additional amount.
Part A
Which components would the director use to write an equation to determine the total cost of the meal, given the amount of the bill, <?
Select all the components of the equation.
X+0.20
0.825x
0.20x
x+0.825
0.0825x
x
Answer:
Step-by-step explanation:
x is the amount of the bill
tax = 8.25% of x = 0.0825x
tip = 20% of x = 0.20x
total payment = x + 0.0825x + 0.20x = 1.2825x
The total cost of the meal is given by the equation A = x + 0.2x + 0.0825x and A = 1.2825x , where x is the initial cost of the meal
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let total cost of the meal be represented as A
Now , the equation will be
Let the cost of the meal be x
Let the tip percentage be = 20 %
Now , the sales tax percentage of the meal = 8.25 %
So , the total cost of the meal A = cost of the meal + ( tip percentage x cost of the meal ) + ( sales tax percentage of the meal x cost of the meal )
Substituting the values in the equation , we get
The total cost of the meal A = x + ( 20/100 )x + ( 8.25/100 )x
On simplifying the equation , we get
The total cost of the meal A = x + 0.2x + 0.0825x
The total cost of the meal A = 1.2825x
Hence , the equation is A = 1.2825x
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Lorenzo made a table and a graph for the equation y = 4x.
x
у
12
11
10
9
8
7
6
1
4
2.
8
3
12
3
2
1
1 2 3 4 5 6 7 8 9 10 11 12
Did Lorenzo make these items correctly? Select the true statement,
A. The graph is correct, but the table is not
B. Both are correct
C. Both are incorrect
D. The table is correct, but the graph is not
I’m not sure can someone please answer this
Answer:
Step-by-step explanation:
C:Both are correct
Zayden has been saving his earnings from mowing the neighborhood lawns. He has 50 dollars and wants
to spend it all on baseball cards.
If each baseball card costs 8 dollars, how many can Zayden buy?
Answer:
6 cards
Step-by-step explanation:
8 × 6 = 48
You can't have 1/4 of a baseball card. So the answer is 6 cards.
Ammeters produced by a manufacturer are marketed under the specification that the standard deviation of gauge readings is no larger than 0.2 amp. One of these ammeters was used to make ten independent readings on a test circuit with constant current. The sample variance S 2 of these ten measurements is 0.0653 and it is reasonable to assume that the readings are normally distributed. Find the approximate probability that the sample variance will exceed 0.0653 if the true population variance is 0.04
Answer:
0.101
Step-by-step explanation:
Given that :
Standard deviation, s = 0.2
Sample variance, s² = 0.0653
Sample size, n = 10
Population variance = σ² = 0.04
We use the Chi square distribution :
(n - 1)s² / σ²
For P(s² ≥ 0.065)
(n - 1)s² / σ² = (10 - 1)*0.0653 / 0.04
(n - 1)s² / σ² = 0.585 / 0.04 = 14.625
P(s² ≥ 14.625) = 0.101 ( chi squee calculator).
The seventh-grade students at Alaniz Middle School went on a field trip. At lunch
17 students drank lemonade. This represented 20% of the students on the field
trip. How many Students were on the field trip?
Answer:
85 students
Step-by-step explanation:
If 17 = 20%
It means is the fifth part of 100%
Because 20% * 5 = 100%
With that logic if we multiply the amount of students by 5 we will get the total of students.
17*5= 85
Hope it was helpful ;)
Find the area of the octagon.
The area is _
Given that the function g is defined by the rule g(x)=3-2x,determine the following
g(a)=
Answer:
The value of g(a) is:
[tex]g(a) = 3 - 2a[/tex]
Step-by-step explanation:
Given
As the function is given by
[tex]g(x)=3-2x[/tex]
To determine
g(a) = ?
Given the function
[tex]g(x)=3-2x[/tex]
substitute x = a in the function
[tex]g(a) = 3 - 2(a)[/tex]
[tex]g(a) = 3 - 2a[/tex]
Therefore, the value of g(a) is:
[tex]g(a) = 3 - 2a[/tex]
PLEASE HELP GIVING BRAINLIEST
f(n) = n2 + 4n
g(n) = - 2n - 2
Find f(n) + g(n)
Answer:
(g x h)(n) = -3n(n^2+2n+4) + 2(n^2+2n+4)
(g x h)(n) = -3n^3-4n^2 -8n + 8
(g x h)(1) = -3n^3-4n^2 -8n + 8 = -3 -4 -8 + 8 = -7
Step-by-step explanation:
Answer:
1. n = 0
n = f -4
2. n = - 2/g+2
3. fn+gn
Step-by-step explanation:
PLS ANSWER I WILL GIVE BRAINLIEST
Answer:
3+2x
Step-by-step explanation:
Since you've started with 3 you add the 2 each time up the output.
Evaluate the expression x−2×8, if x = 27.8
Answer:
11.8
Step-by-step explanation:
the answer is above hope it helps. mark me as brainlist plz
The consecutive monthly flows into and out a reservoir in a given year are the following, in relative units: Month J F M A M J J A S O N D Inflow 3 4 5 3 4 10 28 17 7 6 3 2 Outflow 7 8 7 11 6 8 21 12 5 4 5 9 The reservoir contains 50 units at the beginning of the year. How many units of water are in the reservoir at the middle of August
Answer:
41.5 units
Step-by-step explanation:
Given the data :
Month : J F M A M J J A S O N D
Inflow : 3 4 5 3 4 10 28 17 7 6 3 2
Outflow : 7 8 7 11 6 8 21 12 5 4 5 9
The unit of water in reservoir at the middle of August :
Initial unit = Unit of water at the start of the year = 50
Middle of August :
Inflow = 17 /2 = 8.5
Outflow = 12 /2 = 6
Unit of water at the middle of August :
Initial unit + Inflow - Outflow
Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5
Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74
50 + 65.5 - 74 = 41.5
B. 9.526 to the nearest tenth
C. 19.826 to the nearest whole number
The cost of 5 kg of potatoes is £3.20
The cost of 0.5kg of carrots is 29p
Work out the total cost of 12 kg of potatoes and 1.5 kg of carrots.
Answer:
12kg=7.68
1.5=87
Step-by-step explanation:
I found the cost per kg
Help and i will give brainiest if you answer them all if random will report
Answer:
○ 1. B
○ 2. 146.25
Add the numbers
○3. (-6w) - 8 + 1 (-7w)
(-6w) -7 + (-7w)
Rearrange
(-6w) + -7 + (-7w)
(-6w) + (-7w) - 7
Solution
(-6w) + (-7w) - 7
○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1
Answer:
thank you very much
Step-by-step explanation:
thank you
Which fraction is represented by point A on the number line?
20 points please help me! If your just gunna say points then nobody even bother actually answering my question.
Answer:
It would be 1
Step-by-step explanation:
because after the number 0 would restart to back to 1
The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).
Find the coordinates of the other endpoint, D.
Answer: Endpoint = (-4,6)
Step-by-step explanation:
To find any endpoint use the formula [tex]\frac{x_1+x_2}{2} = Xmp[/tex] [tex]\frac{y_1+y_2}{2} =Ymp[/tex]
[tex]\frac{6+x_2}{2} = 1[/tex] [tex]\frac{-2+y_2}{2} =2[/tex]
multiply each by 2 to simplify
[tex]\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2[/tex] [tex]\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4[/tex] take the equations and simplify
6+[tex]x_{2}[/tex] = 2 -2+[tex]y_{2}[/tex] = 4 =
-6 -6 +2 +2
[tex]x_{2}[/tex] = -4 [tex]y_{2}[/tex] = 6
To check use the Midpoint formula
[tex]\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)[/tex]
!!HELPPP ME AND MY FRIENDD!!
Answer:
1 and 3
Step-by-step explanation:
Answer:
B . <3 <7
I had the sam test and got a 100
please mark brainliest
Step-by-step explanation:
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
(ANSWER ASAP) *Still Unanswered* Lines a & b represent a system of linear equations. Line a passes through the points (1,3) and (3,1). Line b passes through the point (-1,0). Which statement must be true? 1, 2, 3, or 4?
1) If line b passes through the point (-2,1) then there are infinitely many solutions to the system of equations because the slopes of the lines are the same.
2) If line b passes through the point (0,1) then there is more than one solution to the system of equations because the lines are perpendicular.
3) If line b passes through the point (1,3) then there are infinitely many solutions to the system of equations because line a also passes through the point (1,3)
4) If line b passes through the point (1,-2) then there is no solution to the system of equations because the lines are parallel.
Answer:
D: If line B passes through the point (1,-2), then there is no solution to the system of equations because the lines are parallel.
I think that is right...?
Step-by-step explanation:
Answer:
D: If line B passes through the point (1,-2), then there is no solution to the system of equations because the lines are parallel.
Step-by-step explanation:
HELP BRIANLIEST TO BEST ANSWER
The school store has 1200 pencils in stock and sells an average of 25 pencils per day. The manager reorders when the the number of pencils in stock is 650.
The number of days is the independent variable.
True or false
Answer:
If anything, I think the answer is true. That is about 30 days, and that is an independent variable to me.
Step-by-step explanation:
Answer:
false they are measuring the amount the sold
Find the measure of each unknown angle.
Answer:
= 56°
= 34°
Step-by-step explanation:
3x + 5 + 2x = 90°
3x + 2x + 5 = 90°
5x + 5 = 90°
5x = 90 - 5
5x = 85
x = 85/5
x = 17
3x + 5
= 3(17) + 5
= 51 + 5
= 56°
2x
= 2(17)
= 34°
Stuck on this one question qwq
*12 points*
I'm 99% sure your answer is B!
I hope this answer helped! please mark brainliest and vote 5 stars >:)
(3,19), (-1,-13) I need help with this answer
Answer:
Step-by-step explanation:
I need more information
Who was the first prince of Russia to be crowned as a czar
Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?
Answer:
Step-by-step explanation:
(3 - 8)/(1 + 4)= -5/5= -1
y - 8 = -(x + 4)
y - 8 = -x - 4
y = -x + 4
4. The table below shows how much water is needed compared to flour, in a given recipe. What is
the ratio of flour to water (in simplest form)?
Flour (cups).
6
9
10
12
Water (cups)
2.
3
3 1/3
4
Answer:
1 to 3
Step-by-step explanation:
because if you were to divide by 2 you would get your base number 1 that is simplest form
Jill and a friend are going hiking. They bring with them a container that holds 1/2 of a gallon of water. If they share the water equally what fraction of a gallon will each friend get?
Answer:
¼
Step-by-step explanation:
Solution,
Total quantity=½ gallon
Each friends quantity=½/2
=¼ gallon
y−34=414 what is the answer
Answer: y = 448
Step-by-step explanation: I’m just good
Math PLEASE HELP IM SO CONFUSED IM ATTACHING THE SLIDES!!!!
Answer:
x = 19, TS = 22Step-by-step explanation:
Use ratios to solve for x. Corresponding sides have same ratio.Q1
(x + 5)/30 = (36 - 20)/20(x + 5)/30 = 16/20 = 4/55(x + 5) = 4(30)5x + 25 = 1205x = 95x = 19Q2
(5x - 2)/(3x + 1) = 39/26(5x - 2)/(3x + 1) = 3/22(5x - 2) = 3(3x + 1)10x - 4 = 9x + 310x - 9x = 3 + 4x = 7TS = 3x + 1 = 3(7) + 1 = 22
What’s the answer to the equation “x^-4 • 2x^-3 y^-3” ??
Answer:
Get the app Photo Math
Step-by-step explanation:
Gives you the answer and if they ask to show work they also show a step on step on how they did the work
