Answer:
The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.
Step-by-step explanation:
We are given:
Future value (A)=$25,000
Rate r =8% (0.08%)
Time t = 9
Compounded Annually n =1
We need to find:
Principal Amount (P) = ?
The formula used will be:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding Principal Amount (P)
[tex]A=P(1+\frac{r}{n})^{nt}\\25000=P(1+\frac{0.08}{1})^{9*1} \\25000=P(1+0.08)^{9} \\25000=P(1.08)^{9} \\25000=P(1+0.08)^{9} \\25000=P(1.9990)\\P=\frac{25000}{1.9990}\\\mathbf{P=12506.25 }[/tex]
So, The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.
*PLZ HELP*...Given the following word problems, write an inequality that models the problem, then solve and check.
J.ulian wants to pay $25 at most for eating out in the month of September. He has already spent $13.72. How much more money can he spend on eating out in September?
Answer:
x [tex]\leq[/tex] 11.28
Step-by-step explanation:
x + 13.72 [tex]\leq[/tex] 25
x [tex]\leq[/tex] 11.28
Therefore, he can spend less than or as much as $11.28.
Please help!
Rewrite the rational exponent as a radical. (2 points)
Answer:
Answer: 3) [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Radical Form and Exponent Form
A radical can be expressed as a rational exponent following the identity:
[tex]\displaystyle \sqrt[m]{x^n}=x^\frac{n}{m}[/tex]
We should also recall that:
[tex](x^n)^m=x^{nm}[/tex]
We are given the expression:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}[/tex]
Applying the power of power:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\left(5^{\frac{3}{4}\cdot \frac{2}{3}}\right)[/tex]
Simplifying:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=5^{\frac{1}{2}}[/tex]
Converting to radical form:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\sqrt{5}[/tex]
Answer: 3) [tex]\sqrt{5}[/tex]
5c+4p=18.40 2c+4p=11.20
Answer:
c = 2.4
p = 1.6
Step-by-step explanation:
Given:
5c+4p=18.40
2c+4p=11.20
-1(2c+4p=11.20) <-- Distribute -1 so that you can cancel out p
-2c-4p=-11.20
5c+4p=18.40
+ -2c-4p=-11.20 <-- Add/simplify like terms
3c = 7.2 <-- Isolate c by dividing
c = 2.4
Now that we have c, we can find p
5c+4p=18.40
5(2.4)+4p=18.40 <-- Sub in 2.4 for c
12+4p=18.40 <-- Combine like terms in one side
4p=6.4 <-- Isolate p by dividing
p = 1.6
(Need asap)
Factor the polynomial function over the complex numbers.
f(x)=x4+9x3+15x2+9x+14
Answer:
(x+2)(x+7)(x+i)(x-i)
Step-by-step explanation:
I just took the quiz.
Answer: (x+2)(x+7)(x+i)(x-i)
Step-by-step explanation:
I just took the quiz
John's grades in Algebra are: 65, 83, and 93. What grade does John need on the final exam to get an 85
average (mean)?
Answer:
99 marks
Step-by-step explanation:
Let 'x' be the mark in final exam
Sum of all the data's/ Number of data's = Mean
[tex]\frac{65+83+93+x}{4}=85\\\\\\\frac{241+x}{4} = 85[/tex]
241 + x = 85*4
241 + x = 340
x = 340 - 241
x = 99
Write an equation for the parabola whose vertex is at (3, 6) and which
passes through (4, 4).
Answer:
f(x) = -2 (x - 3)² + 6Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
so the equation of parabola with the vertex (3, 6) is
f(x) = a(x - 3)² + 6
passes through the point (4, 4) means: if x=4 then f(x)=4
4 = a(4 - 3)² + 6
4 -6 = a(1)² + 6 -6
-2 = a
Therefore the equation of parabla is:
f(x) = -2 (x - 3)² + 6
The vertex of a parabola is the maximum or the minimum point on the parabola.
The equation of the parabola is: [tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]
The given parameters are:
[tex]\mathbf{Point = (x,y) =(4,4)}[/tex]
[tex]\mathbf{Vertex = (h,k) =(3,6)}[/tex]
The equation of parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
Substitute values for x, y, h and k
[tex]\mathbf{4 = a(4 - 3)^2 + 6}[/tex]
[tex]\mathbf{4 = a(1)^2 + 6}[/tex]
[tex]\mathbf{4 = a + 6}[/tex]
Subtract 6 from both sides
[tex]\mathbf{a = -2}[/tex]
Substitute values for h, k and a in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]
Hence, the equation of the parabola is:
[tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]
Read more about parabolas at:
https://brainly.com/question/4074088
Complete the square to write the equation, 4x2 + 24x – y + 43 = 0, in standard form.
Answer:
y=4
x=3
7
Step-by-step explanation:
Edg2021
Slide 1: Intro Slide
Slide 2: A then B
Slide 3: A, C, D
Slide 4: B then A
Slide 5: B
Slide 6: h = -3, k = 1, a = 3, b = 2, Center: (-3,1), Slope of Asymptote = 2/3
Slide 7: 4, 3, 7
Slide 8: C
Slide 9: C
Slide 10: B
Slide 11: D
Thank me later, brainliest, and you're welcome. Have a nice day and good luck on the quiz! :]
PLEASE HELP! WILL GIVE BRAINLIEST!!
Answer: H. AAs is the answer.
5u+u–u please tell me !
Answer: = UwU
Step-by-step explanation:
Answer:
5u
Step-by-step explanation:
Simplifying
5u + -1u = u + 15
Combine like terms: 5u + -1u = 4u
4u = u + 15
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Add '-1u' to each side of the equation.
4u + -1u = 15 + u + -1u
Combine like terms: 4u + -1u = 3u
3u = 15 + u + -1u
Combine like terms: u + -1u = 0
3u = 15 + 0
3u = 15
Divide each side by '3'.
u = 5
Simplifying
u = 5
PLEASE ANSWER THIS ASAP !!!!
Answer:
Step-by-step explanation:
hmmmmmmmmmmmm???
]
which situation results in a final value of zero
Answer:
is there like a picture of the question?
Answer:
The answer is B
Step-by-step explanation:
Did on test
Which table made this graph?
Answer:
C. IV
Step-by-step explanation:
All the points on the graph have an x value of -3
5% of Hana's salary is birr 500 what is her full salary?
Answer:
10,000
Step-by-step explanation:
100 ÷ 5 = 20
5 x 20 = 100
500 x 20 = 10,000
Find the solution(s) of the following equation.
c^2 = 121c
2
=121c, squared, equals, 121
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
c = 11c=11c, equals, 11
(Choice B)
B
c = -11c=−11c, equals, minus, 11
(Choice C)
C
c = 13c=13c, equals, 13
(Choice D)
D
c = -13c=−13c, equals, minus, 13
(Choice E)
E
None of the above
Answer:
A and B
Step-by-step explanation:
11 x 11 = 121
-11 x -11 = 121
Two bicyclists were racing toward each other when they were 98 miles apart. Three hours later they did not meet yet and the distance between them was 2 miles. How fast did they bike if one was 3mph slower than the other.
Let, speed of 1st bicyclist is x.
So, speed of 2nd bicyclist is x-3 .
We know, relative speed when two objects moves towards each other :
[tex]v = x + ( x-3 )\\\\v = 2x - 3[/tex]
Now, distance travelled in 3 hours is (98-2) miles .
So,
[tex]2x-3 = \dfrac{96}{3}\\\\2x - 3 = 32\\\\2x = 35\\\\x = 17.5\ mph[/tex]
Therefore, speed of bikes are 17.5 mph and 14.5 mph.
Hence, this is the required solution.
You start at 1, 4. You move left five units and down seven units. where do you end?
Answer: -4,-3
Step-by-step explanation:
You start at the point (1,4) on the coordinate plane. The first number is on the x-axis, which moves horizontally and is divided down the middle by the y-axis. The left side of the x-axis is negative, while the right side of the x-axis is positive. The second number is on the y-axis, which moves vertically and is divided in half by the x-axis. The upper half of the y-axis is positive, while the lower side of the y-axis is negative.
If you start at the point (1,4) then the x coordinate would be 1 and the y coordinate would be 4. So moving left by 5 units you would be subtracting 5 from the x coordinate. Similarly, by moving down seven units you would be subtracting 7 from the y coordinate.
Solve:
1 - 5 = -4
-4 is your x coordinate
4 - 7 = -3
-3 is your y coordinate
The coordinate (-4,-3) is your answer
Norma's retirement party will cost $24 if she invites 12 guests. If there are 13 guests, how much will Norma's retirement party cost? Solve using unit rates.
Answer:
If there are 13 guests, it would cost Norma $26
Step-by-step explanation:
Since 12 guest equals 24 dollars all you have to do is divide 24/12 which would give you 2dollars. this means that she has to pay 2 dollars per guest. Multiply 13 becuase you want to know how much money it would cost with 13 guests and you get 26 dollars. Hope this helps.
Answer:
It'll cost $26 !
Step-by-step explanation:
if you set it up like this;
[tex]\frac{13}{x}= \frac{12}{24}[/tex]
you can see a few ways of solving this !
one way is cross multiplication .
13 x 24 = 312
312 / 12 = 26
which of the following expression is equivalent to 6(x-4)
6p- 24
6p-4
mark talked on his cell phone 5 hours over the weekend. genaro talked on his cell phone for 2 9/10 hours. how much longer did mark talk on his phone than genaro.
Answer:
3 - 1 9/10 = 2 10/10 - 1 9/10 = 1 1/10 hours
Step-by-step explanation:
A florist is making flower arrangements for a party.
He uses purple and white flowers in a ratio of 3 purple
flowers to 1 white flower. How many flowers will he
need in order to make 30 identical arrangements?
Answer:
Step-by-step explanation:
3 purple : 1 white
30 arangement will need so
minimum will need (3+1)=4 flowers per 30 arangements =120 flowers
minimum will be (90 purple: 30 white)
Answer:
120 flowers
Step-by-step explanation:
3 purple: 1 white
We know he wants to make 30 arrangement so
1 x 30=30 white flowers
3 x 30=90 purple flowers
30 + 90=120
6x − 5y = 5
3x + 5y = 4
2. Determine which of the following relations is a function. (Lesson 1-7)
F{-4,3), (-2,-2), (0, 2), (0,5)}
G{(-3, 1), (-3, 3), (-2,-1),(0,5)}
H(-4,-1),(-2,-1),(-1,-1), (3, 3)
J{(2, -5),-1,-1),(0,4), (2, -3)
Answer:
H
Step-by-step explanation:
H is the answer because in the simplest and easy way I can explain this is that it does have the same x in the table. If you look at F the x 0 repeats twice in the third and forth point. If you look at G the x -3 repeats twice in the first and second point. If you look at J the x 2 repeats twice in the first and forth point. The only answer choice does repeats any of the x's is H with the x's of -4, -2, -1, and 3. So with this being said H is the answer.
The y can repeat as a function just not the x.
What is the formula for a ratio? Is the x-axis horizontal or vertical? Which points are on the y-axis (0, 6)?
Answer:
formula for ratio: you can write a ratio with :, or, /
x axis is horizontal
0= x axis 6= y axis
Step-by-step explanation:
help me answer this question pls
1. How can you tell that a point on the graph is a maximum or minimum?
2. How would you explain average rate of change to a classmate who was absent today? What does it tell us and how do we find it?
Answer:
1) To see whether it is a maximum or a minimum, in this case we can simply look at the graph. f(x) is a parabola, and we can see that the turning point is a minimum. By finding the value of x where the derivative is 0, then, we have discovered that the vertex of the parabola is at (3, −4).
2
What is the purpose of the cell cycle?
Answer:
An Overview of the Cell Cycle. The most basic function of the cell cycle is to duplicate accurately the vast amount of DNA in the chromosomes and then segregate the copies precisely into two genetically identical daughter cells. These processes define the two major phases of the cell cycle.
The amounts below show the change (measured in feet) in water level over four months. What is the average monthly change in water level?
3/4, -9/4, -11/4, 5/4
Answer:
The average change in water level is: -3/4
Step-by-step explanation:
The average is calculated by adding up all the values and then dividing the sum by total number of values.
Given values are:
3/4, -9/4, -11/4, 5/4
The sum of values will be:
[tex]=\frac{3}{4}+(-\frac{9}{4})+(-\frac{11}{4})+\frac{5}{4}\\=\frac{3}{4}-\frac{9}{4}-\frac{11}{4}+\frac{5}{4}\\=\frac{3-9-11+5}{4}\\=\frac{-12}{4}\\=-3[/tex]
Total number of values is 4
So,
[tex]Average = \frac{Sum}{Values}\\= \frac{-3}{4}[/tex]
Hence,
The average change in water level is: -3/4
What is lighter, 1 kg of feather or 1 kg of iron?
Answer:
none they are both 1 kg
Step-by-step explanation:
Answer:
Both weight the same. 1kg of feathers weights the same as 1kg of iron.
Step-by-step explanation:
Since both are 1kg, they weight the same. It doesn't matter that one is feathers and one is iron.
Please help me out!
Answer:
11. B 12. B, C, and D
Step-by-step explanation:
A = Rational numbers
B = Integers
C = Whole numbers
D = Natural numbers
E = Irrational numbers
11. B
60/15 is a natural number because it equals 4 and is a positive integer
12. B, C, and D
An integer is a whole number meaning that because B. 42/6 = 7, C. 2√100 = 10, and D. 8 are all not fractions or decimals, they are integers.
Which equation could be used to find the value of x in the triangle below?
1x + 12
28-29
X + 5
O A
4x - 12 = 180
4x = 12
2x + 17 = 180
D
x + 12 = 3x - 24
Answer:
4x - 12 = 180Step-by-step explanation:
Sum of the angles of triangle equals 180
x + 12 + 2x - 29 + x + 5 = 180Simplified
4x - 12 = 180