The amount in the account after 1 year is $2,040.00
The amount in the account after 2 years is $2,080.80
What is future value of a single cash flow?
The future value of a single cash flow like the $2,000 is the future equivalent worth of the initial amount when interest earned is added to it.
The future value in this case can be determined as shown thus:
FV=PV*(1+r)^N
FV=unknown future value
PV=initial investment=$2000
r=interest rate=2%
N=years of investment , 1 and 2 years respectively
FV after one year:
FV=$2000*(1+2%)^1
FV=$2,040.00
FV after two years:
FV=$2000*(1+2%)^2
FV=$2,080.80
Find out more about future value on:https://brainly.com/question/25545513
#SPJ1
Full question:
Suppose that $2000 is placed in an account that pays 2 % interest compounded each year. Assume that no withdrawals are made from the account.
Find the amount after one year. Find the amount after two years
Eric bought a few marbles and divided equally among four of his friends and his brother, Imer. Eric lost 2 marbles and has only 7 marbles left. How many marbles did Eric buy in all.
Answer:
54 marbles
Step-by-step explanation:
7+2=9(amount Eric had in all)
9×6=54
so in all, he bought 54 marbles which he shared among his friends and brother.
ANS:54 marbles
An adventure race is 9.75 mi long. The race is divided into equal sections. Each section is 0.75 mi long. The race organizer needs 4 volunteers in each section. How many volunteers does the race organizer need? Show your work.
Step-by-step explanation:
9.75/.75 = 13
which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.
as 4 volunteers are needed in each section
so keeping this in mind 13×4 = 52
therefore, 52 volunteers race organizer need.
hope this answer helps you dear! take care
how many three-digit positive integers have exactly two digits that are the same?
there are 9∗9∗8 three digit numbers where all digits are different so 1000−9∗9∗8 which have at least two digits that are the same and then there are 9 numbers which have exactly three same digits so the number of three digit numbers where exactly two digits are the same is 1000−9∗9∗8−9=343.Answer:
Step-by-step explanation:
Which fraction and decimal forms match the long division problem? 15) 8.000 75, 50 45, 的一 5 O A. 8 and 0.53 15 O B. B. 15 and 0.53 8 O c. 15 and 0.533 8 O D. 8 and 0.53 15
Answer:
The correct answer is AAAA
Answer:
A.
[tex] \frac{8}{15} and \: 0.53[/tex]
In the puzzle below, A, B and C are represented by different positive integers. In this case, only odd numbers are needed for consideration, Can you make a couple of quick deductions to determine the value of A
A B
X C
-------
AAA
Answer:
x
Step-by-step explanation:
Phil has a three-year contract for his cell phone service. He pays $572.60 each year to cover everyone and his family. How much will the cell phone service cost over the three-year period
Answer:
$1717.80
Step-by-step explanation:
We are given one clue: He pays $572.60 each year to cover everyone and his family.
We are asked to find how much does Phil have to pay after 3 years. So, we must multiply 572.60 by 3 to find the total cost Phil has to pay after 3 years.
572.60 x 3 = Total cost to pay after 3 years.
=> $1717.80 = Total cost to pay after 3 years.
We can conclude that Phil will have to pay $1717.80 after 3 years.
Given that 2x/5=3y/8, find the ratio of X:y
Answer:
[tex]\frac{2}{5} :\frac{3}{8}[/tex]
Step-by-step explanation:
First of all, answer both sides separately.
Find the value of x and simplify.
Find the value of y and simplify.
It is just like removing the variables.
write a quadratic equation for the points (2,0) and (12,5). make sure to include the axis and five points used to graph the parabola
Using the Factor Theorem, the parabola is given by: [tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]
The graph is sketched at the end of this answer.
The Factor Theorem states that a polynomial function with roots is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
In this problem:
The graph is a parabola, which means that the function is of the 2nd degree.One zero, with multiplicity 2, at [tex]x = 2[/tex], hence, [tex]x_1 = x_2 = 2[/tex].Then:
[tex]f(x) = a(x - 2)(x - 2)[/tex]
[tex]f(x) = a(x^2 - 4x + 4)[/tex]
Point (12,5) means that when [tex]x = 12, y = 5[/tex], and this is used to find a.
[tex]f(x) = a(x^2 - 4x + 4)[/tex]
[tex]5 = a(12^2 - 4(12) + 4)[/tex]
[tex]100a = 5[/tex]
[tex]a = \frac{5}{100}[/tex]
[tex]a = 0.05[/tex]
Hence, the parabola is:
[tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]
At the end of this answer, the graph with five points is sketched.
A similar problem is given at https://brainly.com/question/24380382
Which expression is equal to 13/14?
-13/14
-13-14
-14-13
-14/13
Answer:
13/ 14 the first one
Step-by-step explanation:
how many square units are in an office that is 13 units by nine units
You spin the spinner once. What is P(factor of 90)?
Answer:
1
Step-by-step explanation:
d5 7yvjn3f5crc6tv6tvt7gv7g
Solve
2^3n-4>0
...................
Answer:
2^3n-4>0 4
Step-by-step explanation:
brainlies me plsss
"5 more than a number™ translates to an equation.
O
True
M
w
O False
True
5 more than a number is an equation because you are adding two values.
Answer:
n+5
Step-by-step explanation:
If we choose the number to be n then 5 more than is 5 added to the number.
hence: n + 5
which of the following shows the correct order of steps needed to simplify 5+2(3-1)
Answer:
BODMAS
Step-by-step explanation:
5+2(3-1)
= 5 + 2(2)
= 5 + 4
= 9
*First calculate the sum inside the brackets which equals 2. Then multiply 2 with the answer which you got inside the bracket which equals 4. Then add the result with 5. The answer is 9
Bracket Of Division Multiplication Addition Subtraction
First solve the sums which are inside the brackets. Then solve the numbers which have powers with them. Then divide the numbers which have division signs with them. Then multiply the numbers which have multiplication signs with them. Then add the numbers which have addition signs with them. Lastly subtract the numbers which have subtraction signs with them.
Hope this helps!!
I need this answer also. As fast as possible!!! Please please
Answer:
See below:
Step-by-step explanation:
The term [tex]f(x)[/tex] is used to show the function of x and is essentially the same as y in some cases. One being right now.
So we know the function [tex]T(n)[/tex] and we know that we want to solve for [tex]T(12)[/tex].
So what we can do, is input 12 as n in the original function.
Therefore, we get [tex]T(12)=\frac{2}{3} (12) + 3[/tex]
Using algebra, we can solve it and we get 11!
Cheers!
Ashley has 10 skirts in her closet.
2 skirts are blue
3 skirts are red
4 skirts are green
1 skirt is pink
Ashley randomly selects 2 skirts without replacement. The outcome of the second skirt is —
Answer:
the highest choices are red and green
Write the equation of the line y=-11/3x+3 in standard form
The standard form of the equation of line will be;
⇒ 11x + 3y = 9
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The equation of line is,
y = -11/3 x + 3
Since, The standard form of the equation of line will be;
Ax + By = C
Where, A, B and C are integers.
Now, We convert the equation of line in standard form as;
The equation of line is,
y = -11/3 x + 3
Multiply by 3 in both sides,
3 × y = 3 (-11/3 x + 3)
3y = 3 × -11/3 x + 3 × 3
3y = - 11x + 9
3y = - 11x + 9
Add 11x both side;
11x + 3y = - 11x + 9 + 11x
11x + 3y = 9
Thus,
The standard form of the equation of line will be;
⇒ 11x + 3y = 9
Learn more about the linear equation visit:
https://brainly.com/question/18831322
#SPJ1
Which expression is equivalent to the following complex fraction?
1
1
2
o
x-1
2x
架
0
2
2x-2
O
X
0
2x
X-1
Answer:(1-(1/x))/2
Step-by-step explanation:
(1-(1/x))/2
We can multiply both sides by x:
Top: x(1-(1/x)) = (x - 1)
Bottom: 2x
(1-(1/x))/2
Rachel's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?
Answer:
4 times
Step-by-step explanation:
there is 16 cups of water in a gallon
16/4=4
insane in the membrane
Select all the equations that have {6} as its solution set.
15−x=54x
8+3x=6x−10
x2+2=7x−4
43−4x=3x−1
ANSWER:
The ANSWER IS 2. if two solutions are allowed then 2. AND 3. and if your rounding, then 2. 3. and 4.
Step-by-step explanation:
For the first one it is: 0.27... or 3/11
For the second one it is: 6
For the third one it is: 1 or 6, meaning it has two solutions
For the fourth one it is: 6.285714, or 44/7
for the first one: 15-x=54x -> add x to both sides: 15=55x -> then divide both sides by 55: x=3/11
for the second one: 8+3x=6x-10 -> subtract 6x from both sides: 8-3x=-10 -> subtract 8 from both sides: -3x=-18 -> divide both sides by -3: x=6
I'm actually supposed to be doing school, so I don't have time to explain the last two, but I wanted to help, so please give 4 stars or brainliest. and thanks for waiting patiently.
The equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
The equations that have {6} as its solution set is,
We have to solve the equation in order to find the value of x,
Equation 1,
15−x=54x
54x+x=15
55x=15
x=0.27
Equation 2,
8+3x=6x−10
6x-3x=-10+8
3x=18
x=6
Equation 3,
x²+2=7x−4
x²-7x+6=0
x²+6x+x+6=0
x(x+6)+1(x+6)=0
(x+1)=0 , x=-1
(x+6)=0, x=-6
Equation 4,
43−4x=3x−1
4x+3x=43+1
7x=44
x=44/7
x=6.285
Thus, the equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ2
Please help!
Factored Form: -2(x + 1)(x - 3)
a=
concave up or down
y-int (, )
A.o.S: x =
vertex:
x-intercepts ( , ) ; ( , )
help please!! This is due 2 and a half hours. I can’t figure out the problem please help me
Answer:
g(x) = 2|x|: vertical stretch by a factor of 2.
h(x) = ⅓|x|: vertical compression by a factor of ⅓.
w(x) = 4|x|: vertical stretch by a factor of 4.
Step-by-step explanation:
Given the graph of an absolute value parent function, f(x) = |x|:
g(x) = 2|x|Multiplying the parent function by a number, where a > 1 causes a vertical stretch by a factor of a.
Hence, when a > 1, the graph is narrower than the parent function.
In the case of the function, g(x) = 2|x|, the graph represents a vertical stretch by a factor of 2. When a vertical stretch occurs, the y-coordinates will be twice of what the y-coordinates of the parent function. For instance, compare the y-coordinates of f(x) = |x| and g(x) = 2|x| when x = 1.
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In g(x) = 2|x|, when x = 1, y = 2.
h(x) = ⅓|x|Multiplying the parent function by a number, where 0 < a < 1 causes a vertical compression by a factor of a.
Hence, when 0 < a < 1 , the graph is wider than the parent function.
In the case of the function, h(x) = ⅓|x|, the graph represents a vertical compression by a factor of ⅓. When a vertical compression occurs, the y-coordinates will be ⅓ of what the y-coordinates of the parent function.
If you compare the y-coordinates of the parent function, f(x) = |x|, and h(x) = ⅓|x|, when x = 1:
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In h(x) = ⅓|x|: when x = 1, y = ⅓.
w(x) = 4|x|Using the same techniques presented in the previous sections of this post, we could focus on comparing the difference between the y-coordinates of the parent graph, f(x) = |x|, and w(x) when x = 1.
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In w(x) = a|x|, when x = 1, y = 4.
This shows that the graph is vertically stretched by a factor of 4, where the graph appears narrower than the parent function.
Therefore, the function that represents the given graph is w(x) = 4|x|.
Ginger exercised for 5 1/2 hours in 6 days.
Each day she stretched for 1/4 hour and then walked. How long did she walk each day?
Answer:
45 minutes
Step-by-step explanation:
Saying she uses 0.25 of an hour to stretch everyday that mean she will take 0.75 of an hour to walk
[tex] \frac{4}{4} - \frac{1}{4} = \frac{3}{4} [/tex]
Then we need to calculate three-fourth of an hour to figure out how much time she spent walking.
[tex] \frac{3}{4} \times \frac{60}{1} = 3 \times 15 = 45 \: minutes[/tex]
Done.
Math and Science If 7 giant solar power
plants generate 1.3 gigawatts (GW) of
energy to power 900,000 homes, how
many gigawatts can 21 giant solar plants
generate?
Answer:
Step-by-step explanation:
multiply everything by three to get your answer
1. Beth is buying 3 pounds of chicken thighs for $1.29 per pound. How much will she pay?
How many servings will the thighs provide?
Based on the cost of the chicken thighs per pound, Jackie would pay a total of $3.87
The chicken thighs cost $1.29 per pound purchased.
The cost of 3 pounds is:
= Cost per pound x Number of pounds
Solving would give:
= 1.29 x 3
= $3.87
In conclusion, Beth will pay $3.87 for the chicken. There isn't enough data to know the number of servings.
Find out more at https://brainly.com/question/21511823.
BOOKMARK
✓ CHECK ANSWER
o
A
2
A class trip consists of 84 students and 6 teachers. How many students per teacher are there? I
Answer:
There are 14 teachers per student
Step-by-step explanation:
students per teacher =
students / teachers
students: 84
teachers 6
84 / 6 = 14
Does -19x go behind -12xi or in front of o -12xi in standard form?
x^2-19x-12xi or x^2-12xi-12x
Answer:
It's x² -12xi-12x
Step-by-step explanation:
You always do ax²+bx+c
show your work
2x+y=-4;5x+3y=-6
Answer:
x = -6
y = 8
Step-by-step explanation:
Using substitution method.
2x + y = -4 -----------(I)
y = - 4 - 2x -----------(II)
5x + 3y = -6 -------------------(III)
Substitute y = -4 -2x in equation (III)
5x + 3(-4-2x) = - 6
5x - 12 - 6x = -6
5x - 6x - 12 = -6
Combine like terms
-x - 12 = -6 {Add 12 to both sides}
-x = -6 + 12
-x = 6 {Multiply by (-1)}
x = -6
Substitute x = -6 in equation (II)
y = - 4 - 2*(-6)
= -4 + 12
y = 8
In addition to the car payment, Jackson and Bonnie estimate they will spend $200 on utilities, $140 on gasoline, $200 for groceries, $55 for cell phone, and $45 for car insurance. What will be the total of the monthly bills?