If an investment over eight years at a rate of $160 results in a final balance of $660 what was the original investment?
Answers
Answer:
if 160 is the whole investment over 8 years than 500
Step-by-step explanation:
Hope this helps
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Related Questions
!!I NEEEDD HELPPP!! Please helppp :(
Answers
The customer would save $492 in the first year by switching to Intellivision.
The customer would save $207 in the second year by switching to Intellivision.
For the third year, it would be cheaper to stick with ElectroniSource.
How to find the savings ?To calculate the savings for the first year, we need to find the total cost for ElectroniSource and compare it to the flat fee from Intellivision for all three services.
The savings for the first year by switching to Intellivision would be:
$1,632 - $1,140 = $492
Therefore, the customer would save $492 in the first year by switching to Intellivision.
After the first year, Intellivision raises the rates by 25%. So the new flat fee for the second year would be:
$95 + ($95 x 25%) = $118.75
The savings for the second year by switching to Intellivision would be:
$1,632 - $1,425 = $207
Therefore, the customer would save $207 in the second year by switching to Intellivision.
For the third year, Intellivision raises the rates by 16% compared to the second year. So the new flat fee for the third year would be:
$118.75 + ($118.75 x 16%) = $137.78
Therefore, for the third year, it would be cheaper to stick with ElectroniSource, which costs $1,632 for the year, compared to Intellivision, which costs $1,653.36 for the year.
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Evaluate the expression when b=4 and y=-2
b-5y
Answers
Answer:
14
Step-by-step explanation:
4 - 5 * -2 =
4 - -10 =
14
Hope this helped :]
Answer:
14
Step-by-step explanation:
b = 4
y = -2
Therefore;
(4) - 5(-2)
=> 4 - (-10)
=> 4 + 10
=> 14
Hope this helps!
RITA INVITED SOME FRIENDS TO THE AMC THEATER. THEY PAID $10.69 PER TICKET AND A
POPCORN BUCKET FOR $22. THEY SPENT A TOTAL OF $64.76. WRITE AN EQUATION AND
DETERMINE THE NUMBER OF FRIENDS RITA INVITED
I DON’T UNDERSTAND
Answers
Answer:
64.76 - 22 = 42.76 ÷ 10.69 = 4 so Rita invited 4 friends
Find the first and second derivatives of the function. (Factor your answer completely.)
g(u) = u(2u − 3)^3
g ' (u) = g'' (u) =
Answers
The first derivative of the function `g(u) = u(2u - 3)^3` is `g'(u) = 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u) = 12(u - 1)(2u - 3)^2`.
Given function: `g(u)
= u(2u - 3)^3`
To find the first derivative of the given function, we use the product rule of differentiation.`g(u)
= u(2u - 3)^3`
Differentiating both sides with respect to u, we get:
`g'(u)
= u * d/dx[(2u - 3)^3] + (2u - 3)^3 * d/dx[u]`
Using the chain rule of differentiation, we have:
`g'(u)
= u * 3(2u - 3)^2 * 2 + (2u - 3)^3 * 1`
Simplifying:
`g'(u)
= 6u(2u - 3)^2 + (2u - 3)^3`
To find the second derivative, we differentiate the obtained expression for
`g'(u)`:`g'(u)
= 6u(2u - 3)^2 + (2u - 3)^3`
Differentiating both sides with respect to u, we get:
`g''(u)
= d/dx[6u(2u - 3)^2] + d/dx[(2u - 3)^3]`
Using the product rule and chain rule of differentiation, we have:
`g''(u)
= 6[(2u - 3)^2] + 12u(2u - 3)(2) + 3[(2u - 3)^2]`
Simplifying:
`g''(u)
= 12(u - 1)(2u - 3)^2`.
The first derivative of the function `g(u)
= u(2u - 3)^3` is `g'(u)
= 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u)
= 12(u - 1)(2u - 3)^2`.
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The first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).
Using the product and chain ruleFirst, let's find the first derivative:
g'(u) = (2u - 3)³ * d(u)/du + u * d/dx[(2u - 3)³]
Using the chain rule, we can differentiate (2u - 3)³ and u as follows:
d(u)/du = 1
d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du
= 3(2u - 3)² * 2
Plugging these values back into the equation for g'(u), we have:
g'(u) = (2u - 3)² + u * 3(2u - 3)² * 2
= (2u - 3)³ + 6u(2u - 3)²
Simplifying the expression, we have:
g'(u) = (2u - 3)³ + 6u(2u - 3)²
Now, let's find the second derivative:
g''(u) = d/dx[(2u - 3)³ + 6u(2u - 3)²]
Using the chain rule and product rule, we can differentiate each term:
d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du
= 3(2u - 3)² * 2
d/dx[6u(2u - 3)²] = 6(2u - 3)² + 6u * d/dx[(2u - 3)²]
= 6(2u - 3)² + 6u * 2(2u - 3)
The Second derivativePlugging these values back into the equation for g''(u), we have:
g''(u) = 3(2u - 3)² * 2 + 6(2u - 3)² + 6u * 2(2u - 3)
= 6(2u - 3)² + 6(2u - 3)² + 12u(2u - 3)
= 12(2u - 3)² + 12u(2u - 3)
Simplifying the expression further, we have:
g''(u) = 12(2u - 3)² + 12u(2u - 3)
Therefore, the first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).
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show that if a > √n and b > √n, then n ≠ ab, where a and b are positive integers. n = 25 a = 8 8 > 5 b = 9 9 > 5 25 ≠ (8 * 9) = 72 this is a valid proof.
Answers
The statement "if a > √n and b > √n, then n ≠ ab" is saying that if two positive integers, a and b, are both greater than the square root of another positive integer n, then the product of a and b is not equal to n. This statement can be proven by contradiction.
Suppose the opposite is true, and that n = ab, where a and b are positive integers such that a > √n and b > √n. Then, because n = ab, we have n/a = b and n/b = a. But because both a and b are greater than the square root of n, we have √n < a and √n < b. This leads to a contradiction, because it means that n/a = b > √n, but √n is the largest possible value of b such that b < n/a.
Thus, we have proven that if a > √n and b > √n, then n cannot equal ab, and our original statement is true.
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cosθ=0.51 Select the correct choice and fill in any answer boxes in your choice. A. θ≈ _____ (Type your answer in radians. Round to four decimal places as needed. Use a comma to separate answers as needed.) B. There is no solution.
Answers
The correct choice is A and the answer is θ = 1.0420 (in radians).
Given that cosθ=0.51, we need to find the value of θ. Let's solve this step by step using the inverse cosine function:cosθ = 0.51cos⁻¹(cosθ) = cos⁻¹(0.51)θ = cos⁻¹(0.51)θ = 1.0420 (in radians)
Now, we need to round this value to four decimal places. So, θ = 1.0420 (in radians)
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The variable in the term 7m⁴ is raised to the power of
Answers
Answer:
Raised to the power of 4
Step-by-step explanation:
Hooppee heelps
PLEASE HELP ME ITS ABOUT TO BE DUE
Answers
Answer:need graph
Step-by-step explanation:
Line a is parallel to line b if the measure of <7 is 114, what is the measure of <4
Answers
Answer: 66
Step-by-step explanation:
just do this, 180-114= 66 it's not even that hard.
hope this helps.
Suppose a closed economy with no government spending or taxing is capable of producing an output of $1100 at full employment. Suppose also that autonomous consumption is $170, intended investment is $130, and the mpc is 0.75. What is the multiplier for this economy
Answers
The multiplier for the given economy is 4.
The multiplier represents the magnification effect of an initial change in autonomous spending on the overall output of an economy. It is calculated using the formula 1 / (1 - MPC), where MPC is the marginal propensity to consume.
In this case, the MPC is given as 0.75, which means that for every additional dollar of income, individuals spend 75 cents. The multiplier is calculated as 1 / (1 - 0.75) = 4.
The multiplier of 4 indicates that a change in autonomous spending, such as investment or consumption, will have a four times larger impact on the overall output of the economy. In other words, for every dollar increase in autonomous spending, the total output of the economy will increase by four dollars.
In this scenario, since the intended investment is $130, the total increase in output would be 4 * $130 = $520. Therefore, the multiplier effect amplifies the initial change in autonomous spending and leads to a larger increase in output in the economy.
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Jenny is picking apples to make apple pie. The amount of
apples that she needs to pick varies directly with the
number of pies she plans to bake. If Jenny needs to make 12
apple pies, she will need to pick 42 apples. How many apples
would she need to pick if she was only making 8 pies?
Answers
If a18-a12=24.Find d.
Answers
a18 − a12 = 24 == 24
d == 24
I hope this is correct and helps..
Donte simplified the expression below.
4(1+31) – (8-51)
4+3,-8+5;
-4+81
What mistake did Donte make?
He did not apply the distributive property correctly for 4(1 + 31).
He did not distribute the subtraction sign correctly for 8 - 51.
He added the real number and coefficient ofi in 4(1 + 31).
He added the two complex numbers instead of subtracted.
Answers
Answer:
He did not apply the distributive property correctly
Step-by-step explanation:
i need help with this
Answers
Answer:
We conclude that:
\(\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}\)
Step-by-step explanation:
Given the expression
\(\frac{x+2}{x+4}-\frac{x-1}{x+6}\)
Least Common Multiple of x+4, x+6: (x+4) (x+6)
Adjusting fractions based on the LCM
\(=\frac{\left(x+2\right)\left(x+6\right)}{\left(x+4\right)\left(x+6\right)}-\frac{\left(x-1\right)\left(x+4\right)}{\left(x+6\right)\left(x+4\right)}\)
since the denominators are equal, combine the fractions:
\(\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\)
so the expression becomes
\(=\frac{\left(x+2\right)\left(x+6\right)-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}\)
\(=\frac{x^2+8x+12-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}\)
\(=\frac{x^2+8x+12-x^2-3x+4}{\left(x+4\right)\left(x+6\right)}\)
simplify
\(=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}\)
Therefore, we conclude that:
\(\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}\)
write an equation using (-1,0) and (4,-5) in slope intercept form
help pls :')
Answers
y=-x-1
EXPLANATION:
First you need to find the slope of the points (-1,0) and (4,-5). To find the slope you use the equation m=y2-y1/x2-x1
-5=y2
0=y1
4=x2
-1=x1
So, plugging the numbers into the equation, you should get m=-5-0/4-(-1)
Then you get -5/5 which simplifies to -1
Since slope intercept form is y=Mx+B, m=slope, you substitute -1 into the m spot.
To find the y-intercept, you need to first pick one of the points to use. (I will use (4,-5))
The 4 is in the x position in (x,y) so you plug that into the equation. y=-1(4)+b
The -5 is in the y position in (x,y) so you have to plug that into the equation as well. -5=-1(4)+b
Simplified you get -5=-4+b
You then have to add 4 to both side of the equation, which ends you up with -1=b. b is the y intercept so when you plug every thing into the equation you get y=-x-1
Hope that helps!
You randomly choose one shirt from the shelves.
Find the probability of the event.
The probability of choosing a red shirt is
Answers
Answer:
the probaility of choosing a red shirt is 1
t - 26 = -21
Solve for T
Answers
Answer:
t = 5
Step-by-step explanation:
t - 26 = -21
t - 26 + 26 = -21 + 26
t = 5
Answer:
t = 5
Step-by-step explanation:
t - 26 = - 21 ( add 26 to both sides )
t = - 21 + 26 = 5
4 A home-decorating company is determining the amount of fabric required for a customer's window treatments. A single window requires 13 yards and a double 7 window requires 16, yards of fabric. If there are two single windows and one double window, how much fabric is required?
Answers
The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.
As per the information we have received from the question,
A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to
13×(no of single windows)+ 16×(no of double windows)
Here, no of single windows= 2
And, no of double window= 1
Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards
Hence the solution is 42 yards of fabric.
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#11 What is the absolute
value of -19?
Answers
Drag and drop the correct measures onto the diagram
Answers
The triangles ∆ABC and ∆ADC are similar triangles, and:
m∠BAC = m∠DAC = 70°
m∠ACB = 20°
CB = CD = 12
AB = DA = 7
What are similar trianglesSimilar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.
Considering the angles of the right triangle ACD;
m∠DAC = 180° - (90 + 20)°
m∠DAC = 70°
The angle m∠BAC corresponds to m∠DAC so;
m∠BAC = m∠DAC = 70°
The angle m∠ACB corresponds to m∠ACD so;
m∠ACB = m∠ACD = 20°
The side AB corresponds to side DA hence;
5x - 3 = 3x + 1
5x - 3x = 1 + 3 {collect like terms}
2x = 4
x = 4/2
x = 2
AB = 5(2) - 3 = 7
AB = DA = 7
In conclusion, since the triangles ∆ABC and ∆ADC are similar triangles, then:
m∠BAC = m∠DAC = 70°
m∠ACB = 20°
CB = CD = 12
AB = DA = 7
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x+3y = 2
4x−3y = 23
What would be the value of "X"? Please include an explanation, I got 7, but it marked it incorrect.
Answers
Answer:
The value of "x" is 5.
Step-by-step explanation:
In order to solve this system of equations, we first have to take the first equation and use it to represent "y" in terms of "x". We do that in the following way...
\(x + 3y = 2\\3y = 2 - x\\y = \frac{2}{3} - \frac{x}{3}\)
Now, we need to take the second equation and substitute "y" for the equivalent value in terms of "x". After doing this we will get the following equation, which we can solve to get the value of "x".
\(4x - 3y = 23\\4x-3(\frac{2}{3} - \frac{x}{3}) = 23\\4x - 2 + x = 23\\5x - 2= 23\\5x = 25\\x = 5\)
Therefore, the value of "x" is 5.
The value of "x" would be equal to 5.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given equation are;
x+3y = 2
4x−3y = 23
In order to solve this system of equations, we have to take the first equation and use it to represent "y" in terms of "x".
x+3y = 2
x = 2 -3y
Thus,
4x−3y = 23
4(2 -3y) −3y = 23
8 - 12y - 3y = 23
8 - 15y = 23
15y = -23 + 8
15y = - 15
y = -1
Now, we need to take the second equation and substitute "y" for the equivalent value in terms of x.
x+3y = 2
x= 2 - 3y
x = 2 + 3
x =5
Therefore, the value of "x" is 5.
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The 7th grade class is raising money to have a class trip at the end of the year. The began the year with $2500. Now they have $4750 in the account. WhT is the percent increase for the money the class has raised? The class figured out that if there is a percent increase of 99% from the beginning of the year, they will have enough to pay for every student. How much will the need to pay for every student?
Answers
Answer:
2.7%
Step-by-step explanation:
Solve this please! Will give correct answer brainiest!
Answers
Answer:
it is $5 per hour
Answer:
It is c.
Step-by-step explanation:
Divide the amount earned by hours. For example 10/2=5, 20/4=5, 30/6=5 and so on
-5/12 - (-9/3) what is the answer for this equation
Answers
Answer:
2 7/12
Step-by-step explanation:
Simple fraction problem
Can someone help me I need it to be broken down
Answers
Answer:
\(x + 23 + x + 80 = 180 \\ 2x + 103 = 180 \\ 2x = 77 \\ x = 38.5\)
Simplify 85.84
O A. 820
O B. 169
O C. 89
O D. 649
Answers
Step-by-step explanation:
it seams like this question is wrong
factorise 4px-3my-2pm-6xy
Answers
Answer:
E
Step-by-step explanation:
NO
Which circles have an area less than 300 square centimeters? Select all that apply.
A circle with a radius of 9.5 centimeters.
A circle with a radius of 10 centimeters.
A circle with a radius of 10.5 centimeters.
A circle with a diameter of 15 centimeters.
A circle with a diameter of 25 centimeters.
Answers
Answer:
A, b, d
Step-by-step explanation:
Find the area of the rectangle.
Answers
Answer:
6.75 in
Step-by-step explanation:
You would have to do L x W (Length x Width) to find the area of a rectangle.
Answer:
6.75 or 6 4/3
Step-by-step explanation:
9 X .75
Why is 4 Written in Roman Numerals as IV?
Answers
The Romans used a subtractive notation scheme to express the number 4 taking away one from five to produce "IV".
Latin alphabetic letters are the foundation of the Roman numeral system. When combined, the letters indicate various numbers according to their allotted values.
I and V are the Roman numerals for 1 and 5, respectively. The Romans used a subtractive notation scheme to express the number 4, taking away one from five to produce "IV," which is the roman equivalent of the number four. Roman numerals frequently used subtractive notation, which boosted the effectiveness of the system. The Romans would use "IX" (10-1) rather than "VIIII" (5+1+1+1+1) to denote the number 9, for instance, by deducting 1 from 10.For further Roman numeral combinations, the subtractive notation is employed. For instance, the Romans would use "XL" (50-10) rather than "XXXX" to express the number 40 by deducting 10 from 50. Similar to this, they would use "XC" (100-10) instead of "LXXXX" to indicate the number 90 by deducting 10 from 100.
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