9514 1404 393
Answer:
a) $169,234.59
b) $19,234.59
Step-by-step explanation:
The first question you must answer is whether Colleen will earn interest on her first deposit in the first year. That is, does she deposit the money at the first of the year or the end of the year?
The usual "annuity" formula assumes the deposit is at the end of the year, so no interest at all is earned on the last deposit made. If the deposit is at the first of the year, an "annuity due" formula is used, that multiplies the entire ending account value by the annual multiplier, 1.017 in this case.
__
a) Assuming an "annuity", the formula is ...
A = P((1 +r)^t -1)/r . . . . . for annual compounding at rate r for t years
A = $10,000(1.017^15 -1)/0.017 = $169,234.59 . . . . ending balance
__
b) Colleen has made 15 deposits of $10,000, for a total of $150,000, so the amount of interest earned is ...
$169,234.59 -150,000 = $19,234.59 . . . . interest earned
find the value of x showing your steps. identify the postulate that allowed you to solve for x.
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesGeometry
CongruencyAll angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
3(x + 7)° = 63°
3(x + 7)° + 63° + y° = 180°
Step 2: Solve for x
Divide 3 on both sides: x + 7 = 21Subtract 7 on both sides: x = 14At time t ≥ 0, the velocity of a body moving along the s-axis is v = t² -5t +4. When is the body moving backwards
Check comments for multiple choice answers
Answer:
A
Step-by-step explanation:
The velocity of a moving body is given by the equation:
[tex]v=t^2-5t+4 ,\, t\geq0[/tex]
Is the velocity is positive (v>0), then our object will be moving forwards.
And if the velocity is negative (v<0), then our object will be moving backwards.
We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:
[tex]v<0[/tex]
By substitution:
[tex]t^2-5t+4<0[/tex]
Solve. To do so, we can first solve for t and then test values. By factoring:
[tex](t-4)(t-1)=0[/tex]
Zero Product Property:
[tex]t=1, \text{ and } t=4[/tex]
Now, by testing values for t<1, 1<t<4, and t>4, we see that:
[tex]v(0)=4>0,\, v(2)=-2<0,\,\text{ and } v(5)=4>0[/tex]
So, the (only) interval for which v is <0 is the second interval: 1<t<4.
Hence, our answer is A.
what is the slope in the equations: y = 4x + 3
Answer:
4
Step-by-step explanation:
y = mx + b
m represents the slope, and as we can see in the equation, the number 4 is there instead of m, so therefore 4 is the slope
9/12 +3/12 =?
A. 1
B. 6/12
C. 11/12
D.1/2
9/12 + 3/12 = 12/12 = 1
Therefore, 1 is your answer.
Answer:
Solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.
Option A is correct answer.
Step-by-step explanation:
We need to solve [tex]\frac{9}{12}+\frac{3}{12}[/tex]
For solving fractions we need to take LCM of denominators.
The LCM of 12, 12 is 12
So, solving:
[tex]\frac{9}{12}+\frac{3}{12}\\=\frac{9*1+3*1}{12}\\=\frac{9+3}{12}\\=\frac{12}{12}\\=1[/tex]
So, solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.
Option A is correct answer.
19) Albert says that the two systems of equations shown have the same solutions.
FIRST SYSTEM
6x + y= 2
-x-y=-3
SECOND SYSTEMS
2x-3y = -10
-X-y= -3
A) Agree, because the solutions are the same
B) Agree, because both systems include -x-y= -3
C) Disagree, because the solutions are different
D) Cannot be determined
Answer:
option A) Agree, because the solutions are the same is correct.
Step-by-step explanation:
FIRST SYSTEM
[tex]6x + y= 2[/tex]
[tex]-x-y=-3[/tex]
solving the system
[tex]\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18[/tex]
[tex]\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}[/tex]
adding the equation
[tex]-6x-6y=-18[/tex]
[tex]+[/tex]
[tex]\underline{6x+y=2}[/tex]
[tex]-5y=-16[/tex]
so the system becomes
[tex]\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}[/tex]
solve -5y for y
[tex]-5y=-16[/tex]
Divide both sides by -5
[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]
simplify
[tex]y=\frac{16}{5}[/tex]
[tex]\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]
[tex]6x+\frac{16}{5}=2[/tex]
subtract 16/5 from both sides
[tex]6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}[/tex]
[tex]6x=-\frac{6}{5}[/tex]
Divide both sides by 6
[tex]\frac{6x}{6}=\frac{-\frac{6}{5}}{6}[/tex]
[tex]x=-\frac{1}{5}[/tex]
Therefore, the solution to the FIRST SYSTEM is:
[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]
SECOND SYSTEM
[tex]2x-3y = -10[/tex]
[tex]-x-y=-3[/tex]
solving the system
[tex]\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6[/tex]
[tex]\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}[/tex]
[tex]-2x-2y=-6[/tex]
[tex]+[/tex]
[tex]\underline{2x-3y=-10}[/tex]
[tex]-5y=-16[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}[/tex]
solve -5y for y
[tex]-5y=-16[/tex]
Divide both sides by -5
[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]
Simplify
[tex]y=\frac{16}{5}[/tex]
[tex]\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]
[tex]2x-3\cdot \frac{16}{5}=-10[/tex]
[tex]2x=-\frac{2}{5}[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{-\frac{2}{5}}{2}[/tex]
Simplify
[tex]x=-\frac{1}{5}[/tex]
Therefore, the solution to the SECOND SYSTEM is:
[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]
Conclusion:
As both systems of equations have the same solution.
Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.
Hence, option A) Agree, because the solutions are the same is correct.
Jamie wants to run 2 3/4 miles today. He has already run 1 1/4 miles. How much farther must he run to reach his goal?
Answer:
0 miles
Step-by-step explanation:
Just subtract 11/4 from 2 3/4
2 3/4 - 11/4 = 0
So, he doesn't need to run any more
In a flower basket, the ratio of red roses to white roses is 2 to 3. There are a total of 20 roses in the basket. How many red roses are in the basket?
Complete the proof.
Drag and drop the expression to correctly complete the proof of the polynomial identity (x−y)2+4xy=(x+y)2.
Answer:
See attached
Step-by-step explanation:
The proof is attached
Answer:
x^2-2xy + y^2 + 4xy = (x + y)^2
x^2 + 2xy + y^2 = (x + y)^2
(x + y)^2 = (x + y)^2
What is the solution to the inequality −2x+8<3(2x−4)?
Answer:
x>5/2
Step-by-step explanation:
Anastasia is grocery shopping list is 60% done and she only has 12 items, how many items does she have on the list?
Answer:
She has 20 items on the list
Step-by-step explanation:
Answer:
if she is 60% done shopping and has a total of 12 items, then the list will have 8 items left or 20 in total.
There are 12 basketball players on the team. In order to complete the main composition of the team for the
game, the coach can choose any 5 players from the team. How many different combinations of the main
compositions the coach can complete?
I get 792 but why is the answer 7.92. Kinda don't understand.
Step-by-step explanation:
We have been given that a basketball team has 12 players and the coach wants to pick which 5 players will start today's game.
We will use combinations formula to solve our given problem. , where,
n = Number of total items,
r = Number of items being chosen at a time.
Upon substituting our given values in combinations formula we will get,
Therefore, the coach can choose from 792 combinations
A dessert recipe calls for 2 1/2 cups of milk and makes 5 servings. How many cups of mild are needed for 8 servings
Answer:ok
Step-by-step explanation:
n jjbjnujg6t6ugyg ffvjnjg
Step-by-step explanation
knjjbvfghjk,mn cxsertyuj
Which expression represents
"thirty-eight less than the sum of forty and nineteen"?
A 38 – 40 + 19
® 38 - (40 – 19)
19+ (40 – 38)
D (40+ 19) – 38
Answer:
(40+ 19) – 38
Step-by-step explanation:
We need to find the expression for "thirty-eight less than the sum of forty and nineteen".
Sum of forty and nineteen = 40 + 19
38 less than the above is 40 + 19 - 38
Overall expression is :
(40 + 19) - 38
Hence, the correct option is (d) "(40+ 19) – 38".
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.
1/7x + y = 9; y = -7x
y = 3x - 3; 12x - 4y = 12
7y = 2x + 1; 14x + 4y = 12
x - 4y = 18; y = x + 4
3x - 4y = -1; 3y = -4x + 5
Parallel Perpendicular Neither
Answer:
Step-by-step explanation:
(1). [tex]\frac{1}{7}[/tex] x + y = 9 and y = - 7x ( Neither ) ; lines intersect.
(2). y = 3x - 3; 12x - 4y = 12 ( Neither ) ; Lines are overlapped or both equation are of the same line.
(3). 7y = 2x + 1; 14x + 4y = 12 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{2}{7}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{7}{2}[/tex] , slopes are opposite reciprocals.
(4). x - 4y = 18; y = x + 4 ( Neither ) ; lines intersect.
(5). 3x - 4y = - 1; 3y = - 4x + 5 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex] , slopes are opposite reciprocals.
The equation y = 10x describes the amount of money Serena earns, where x is the number of hours she works and y is the amount of money she earns.
The table shows the amount of money Christine earns for different numbers of hours
worked.
Christine's Earnings
Time (h):
3 5 8 10
Money earned:
60 100 160 200
(a) How much money does Christine earn per hour? Show your work.
(b) Who earns more per hour? Justify your answer.
(c) Draw a graph that represents Christine's earnings over time in hours. Remember
to label the axes.
I WILL GIVE BRAINLIEST IF THEY ARE CORRECT AND ALL ANSWERS WERE ANSWERED!!!
Answer : Answer:
a) $10 per hour
b) Sandra
Step-by-step explanation: he equation y 10x describes the amount of money Sandra earns, where x is the number of hours she works and y is the amount of money she earns
The table shows the amount of money Susan cams for different numbers of hours worked
Susan's Earnings
Time (h) Money Earned
5 40
8 64
10 80
(a) How much money does Sandra eam per hour? Show your work
(b) Who earns more per hour? Justify your answer
Answer:
a)
y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).
y = 10x
y = 10(1)
y = 10
$10 is Sandra's hourly rate.
b)
To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.
5 hours = $40 so per hour is 40/5 = 8
8 hours is 64, so per hour 64/8 = 8
10 hours is 80, so 80/10 = 8
The table is justified at $8 per hour.
We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.
Who ever Answers first gets a good review
Answer:
Do we do all of them???
Step-by-step explanation:
Graham walked to school at an average speed of 3 miles an hour and jogged back along the same route at 5 miles an hour. If his total traveling time was 1 hour, what was the total number of miles in the round trip?
x/3 + x/5 = 1 hr
8x/15 = 1 hr
x = 15/8
15/8 times 2 for round trip. 15/4 miles or 3.75 miles total
please solve:
2(X+3)=8-3(x-4)
x-3(x-2)=3(2-x)
question from equation and inequality.
Answer:
i) x = 2.8
ii) x = 2
what is 9/10 ÷ 3/5 will give brainlist
Answer:1.5
Step-by-step explanation:
Which expressions have an estimated value that is close to 9? Check all that apply.
Answer:
can you post a picture of the question?
Answer:
Hello There!
Step-by-step explanation:
Could you please put the answer choices/expressions? You can just write them in the comment section and I can edit this answer to help you out :)
Happy New Year
6. 1350 = 5 = find the quotient
Answer:
this question is of high school or collage
What is the equation of the line that passes through the points (-3, -2) and (1, 6)?
Answer:
y = 2x +4
Step-by-step explanation:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} - x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~
(1, 6)
(- 3, - 2)
m = 2
y - 6 = 2 ( x - 1 ) <------ ( point-slope form )
y = 2x + 4 <------- ( slope-intercept form )
2x - y = - 4 <------ ( standard form )
X=number of hours
Y=number of tents made
X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14
What is the slope? What does it represent?
Given:
X=number of hours
Y=number of tents made
Table of value.
To find:
The slope and its interpretation.
Solution:
Consider any two points from the table, i.e., (0,6) and (1,7).
The slope is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{7-6}{1-0}[/tex]
[tex]m=\dfrac{1}{1}[/tex]
[tex]m=1[/tex]
Therefore, the slope is 1 and it represent that the number of tents made are increasing by 1 units in each hour.
what is 33.7 divided by 9.5 equals ?
Answer:The answer is 3.5273684211
Step-by-step explanation:
I your round it up then it would be 3.5
Answer:
33.7/9.5 = 3.547368421...
Find the distance between the points (-12.3, 15.1) and (17.5, 2). Round your answer to the
nearest hundredth.
Answer:
32.55
Step-by-step explanation:
d = 32.552266
For:
(X1, Y1) = (-12.3, 15.1)
(X2, Y2) = (17.5, 2)
Distance Equation Solution:
d=(17.5−(−12.3))2+(2−15.1)2−−−−−−−−−−−−−−−−−−−−−−−−−√
d=(29.8)2+(−13.1)2−−−−−−−−−−−−−−−√
d=888.04+171.61−−−−−−−−−−−−−√
d=1–√059.65
d=32.552266
could be confusing.
Ann writes the inequality d ≤ 16, where d equals the number of days, to represent this scenario.
Answer:
Answer is C
Step-by-step explanation:
A scenario describing the inequality {d ≤ 16} is given below.
What is inequality?An inequality compares two or more numbers or expressions with one another. For example -
2x + 4y > 7
2x + 5y < 6
Given is that Ann writes the inequality d ≤ 16, where { d } equals the number of days.
A scenerio to represent this inequality is -
" Mike was not able pay the rent for the past 2 months. His landlord had asked him to pay the total rent within the 16 days."
Therefore, we can represent the given inequality as a scenario mentioned above.
To solve more questions on inequality, visit the link below
https://brainly.com/question/29194803
#SPJ2
give two ways to write the expression as a phase for 15-b
Answer:
((c)) man so simple. bye
Please I need help !!!!
Answer:
The first one is c the second is b
will give brainliest-----------
Answer: C
Step-by-step explanation:
1.25 + (- 0.75) is equal to 1.25 - 0.75.
1.25 is positive while - 0.75 is negative. So 1.25 is head toward the right while - 0.75 is head toward the left.
And when you substract them, you will get 0.5.
So the answer is C.
Drag the simplified value into the box to match each expression.
23+1⋅4−3
20+10−4⋅2
3+52−6⋅4
Answer:
Step-by-step explanation:
9
3
4
Answer:
1. 9
2. 3
3. 4
Step-by-step explanation:
I have taken the test and got 100% on it so I hope this helped you!