The rate of simple interest required for $700 to double in 3 years is found using the formula I=PRT. In this scenario, the rate comes out to be approximately 33.3%.
Explanation:The subject of this question is finding the rate required for simple interest to cause an investment of $700 to double in a duration of 3 years.
Generally, we use the formula for simple interest: I=PRT where P is the principal amount (700 in this case), I is the interest earned, R is the rate we want to find and T is the time period in years.
However, since the aim is for the $700 to double, the interest earned will be an additional $700, thereby making the total $1400. Thus, substituting these values into the formula, we get 700 = 700 * R * 3. Simplifying this, we find that R = 700/(700*3) = 1/3 or approximately 33.3%.
Hence, the rate of simple interest required for $700 to double in 3 years is approximately 33.3%.
Learn more about Simple Interest here:https://brainly.com/question/22621039
#SPJ3
R = 1/3 or 33.33%. So, the simple interest rate needed for $700 to double in 3 years is approximately 33.33%.
To find out the simple interest rate that is needed for $700 to double in 3 years, we can set up the equation based on the formula for simple interest, which is I = PRT (where I is the interest, P is the principal amount, R is the rate of interest, and T is the time period in years).
Since the student wants the money to double, the interest gained should be equal to the principal, which means I = $700. The time given is T = 3 years. Plugging these values into our formula, we get:
$700 = $700 × R × 3
By dividing both sides by $2100 ($700 ×3), the equation simplifies to:
R = $700 / $2100
Therefore, R = 1/3 or 33.33%. So, the simple interest rate needed for $700 to double in 3 years is approximately 33.33%.
The monthly rent of Marilyn's house went from $500 to $400, if p is the percent decrease in the rent, which proportion can be used to calculate p?
Answer:
D
Step-by-step explanation:
doing the test right now
please help asap 48 pts
How do I convert 2.4 x 10^21 formula units of magnesium hydroxide to grams?
What is the answer for this equation?
36^-x+3=(1/216)^x+1
The Nichols family consists of 8 children and 2 adults. The family minivan can safely transport a total of 7 family members, including an adult driver.
Which number line illustrates the capacity of the Nichols minivan as an inequality?
15 is 10 % of what number
15*10=150
15 is 10% of 150
Jack and Jane are married and both work. However, due to their responsibilities at home, they have decided that they do not want to work over 65 hours per week combined. Jane is paid $14 per hour at her job, and Jack is paid $7 per hour at his. Neither of them are paid extra for overtime, but they are allowed to determine the number of hours per week that they wish to work. If they need to make a minimum of $770 per week before taxes, what is the maximum amount of hours that Jack can work per week according to these limits?
Answer:
20
Step-by-step explanation:
Item 11 Solve y=4x+8x for x.
To solve the equation y = 4x + 8x for x, isolate x by combining like terms on the right side and dividing both sides by 12. The solution is x = y/12.
Explanation:To solve the equation y = 4x + 8x for x, we need to isolate x on one side of the equation.
We can start by combining the like terms on the right side:
12x = y
To find the value of x, divide both sides of the equation by 12:
x = y/12
So the solution to the equation is x = y/12.
To solve the equation y = 4x + 8x for x, combine like terms to get y = 12x and then divide both sides by 12 to find x = y/12.
Explanation:The student's question requires us to solve the given equation for x. The original equation provided is y = 4x + 8x. To solve for x, we first combine like terms on the right side of the equation.
Combine like terms: y = 4x + 8x becomes y = 12x.Divide both sides of the equation by 12 to isolate x: x = y/12.The solution for x is x = y/12. This is a straightforward algebraic manipulation that involves combining like terms and using division to solve for the unknown variable.
The depreciating value of a semi-truck can be modeled by y = Ao(0.87)x, where y is the remaining value of the semi, x is the time in years, and it depreciates at 13% per year.
An exponential function comes down from the positive infinity and passes through the points zero comma eighty-seven thousand. The graph is approaching the x-axis.
What is the value of the truck initially, Ao, and how would the graph change if the initial value was only $67,000?
$90,000, and the graph would have a y-intercept at 20,000
$87,000, and the graph would have a y-intercept at 67,000
$87,000, and the graph would fall at a slower rate to the right
$87,000, and the graph would fall at a faster rate to the right
Answer:
I just took the test the answer is
Step-by-step explanation:
B. 87,000, and the graph would have a y-intercept at 67,000.
Which ordered pair is a solution of y = x + 12?
(24, 12)
(9, 21)
(–12, –24)
(0, –12)
Consider the following graph of a piecewise-defined function.
When x<-2, f(x)=
A: -3
B: 5
C: 2
When -2
A: x+2
B: 2x+2
C: 2x
When x>3, f(x)=
A: -3
B: 5
C: 2
Answer:
When x<-2, f(x) = 5
When -2<x<3, f(x)= 2x+2
When x>3, f(x)= -3
Step-by-step explanation:
Select ALL the expressions that are equivalent to the polynomial below.
(4x+5)(-3x-1)
(-16x^2 + 10x - 3) + (4x^2 - 29x - 2)
3(x - 5) - 2(6x^2 + 9x + 5)
2(x - 1) - 3(4x^2 + 7x + 1)
(2x^2 - 11x - 9) - (14x^2 + 8x - 4)
(-15x^2 + 9x - 10) + (3x^2 - 10x - 5)
(4x^2 - 13x - 7) - (16x^2 + 9x - 5)
A certain company's main source of income is selling socks. The company's annual profit (in millions of dollars) as a function of the price of a pair of socks (in dollars) is modeled by: P(x)=-3(x-5)^2+12 . What sock price should the company set to earn a maximum profit?
To obtain the maximum profit, the company should set the price of each pair of socks to $5. This answer is derived from the vertex of the given quadratic profit function.
Explanation:The student question asks at which price the sock selling company should sell its product to earn a maximum profit, given the profit function: P(x)=-3(x-5)^2+12. This function is a standard form of a quadratic equation, and in such equation, the maximum value is achieved at the vertex.
In this case, the vertex (h,k) of the quadratic function is (5,12), where 'h' is the value of 'x' that gives the maximum profit 'k'. So the company should set the price at $5 to earn a maximum profit.
This economic model analysis' underlying principle relies on the assumption of maximizing total revenues and minimizing total costs to yield the maximum profit. Hence, recognizing the nature of the profit function is crucial.
Learn more about Profit Maximization here:https://brainly.com/question/33809682
#SPJ3
quando o Ângulo de elevação do sol e de 70 a sombra de um edifício medes 20 cm calcule a altura do edifício
dados : sen 70=0,93 cos 70=0,3 e tg70=2,74?
What is the y-intercept of the line whose equation is y = x - 3?
Answer:
-3
Hope this helps! Please mark as brainliest.
Sin (2x -9)= Cos (x +30) to solve for x
A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds: f(t) = −16t2 + 48t + 160 The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is _____ feet per second.
The Average rate of change of f(t) from t = 3 seconds to t = 5 seconds is - [tex]v_{avg} = -80\;ft/s[/tex]
We have a equation -
[tex]f(t) = -16t^{2} +48t+160[/tex]
that calculates the height of the ball from sea level in feet at different times.
We have to find the average rate of change of f(t) from t = 3 seconds to t = 5 seconds.
What is Average velocity?The rate of change of displacement per unit time is called average velocity. Mathematically -
[tex]v_{avg} = \frac{d_{2} - d_{1} }{t_{2} - t_{1} }[/tex]
We have -
[tex]f(t) = -16t^{2} +48t+160[/tex]
For time t = 3 seconds, f(t) is -
[tex]f(3) = -16(3)^{2} + 48(3) + 160\\f(3) = -144 +144 +160\\f(3) = 160\; feets\\[/tex]
For time t = 5 seconds, f(t) is -
[tex]f(5) = -16(5)^{2} + 48(5) + 160\\f(5) = -400+240+160\\f(5) = -400 + 400\\f(5) = 0 feet[/tex]
The formula for average velocity is -
[tex]v_{avg} = \frac{d_{2} - d_{1} }{t_{2} - t_{1} }[/tex]
According to question -
[tex]t_{2} = 5s[/tex] and [tex]t_{1} = 3s[/tex]
[tex]d_{2} = f(5) = 0 feet[/tex] and [tex]d_{1} = f(3)=160[/tex]
Substituting the values in the formula of average velocity, we get -
[tex]v_{avg} = \frac{0 - 160}{5 - 3} \\v_{avg} = \frac{-160}{2\\} \\v_{avg} = -80\;ft/s[/tex]
Hence, average rate of change of f(t) from t = 3 seconds to t = 5 seconds is [tex]v_{avg} = -80\;ft/s[/tex].
To solve more questions on calculating the average rate of change of height with time, visit the following link -
https://brainly.com/question/22257105
#SPJ2
WILL GET BRAINLIEST
Which does NOT represent the interior angle measures of a triangle? A.5°, 75°, 100°B.10°, 80°, 90°C.20°, 60°, 100°D.45°, 45°, 45°E.50°, 50°, 80°
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers?
brainly The point (−4, 2) is on the terminal side of angle Θ, in standard position. What are the values of sine, cosine, and tangent of Θ? Make sure to show all work. (10 points)
A rectangular wall has a length of 12ft and a width of 8ft. The wall has two rectangular windows. Each window has a width of 3ft and a height of 5ft. Andrea chooses a point on the wall at random to test a new paint color. What is the probability she could choose a point on a window
Please answer ASAP!!! How many vertical asymptotes does the graph of this function have ?
Answer:
The answer is 1.
Got it from Apex
Step-by-step explanation:
Find the domain of the function :
Can you show the steps
I need help
Simplify 4z2 + z2 + 6a.
4z2 + 7a
5z2 + 6a
3z2 + 6a
11az2
Write a quadratic equation whose solutions are 2i and -2i.
Answer:
answer= 2i
Step-by-step explanation:
PLEASE SOMEONE I AM SO DESPERATE like actually crying
1. The equation of a parabola is given. y=−1/6x2+7x−80 What is the equation of the directrix of the parabola?
2. (y+2)^2= 129X-5)
What is the equation of the directrix of the parabola?
y= (−1/6)x^2+7x−80 multiply both sides by -6
-6y = x^2 - 42x + 480 subtract 480 from both sides
-6y - 480 = x^2 - 42x take (1/2) of 42 = 21.....square this = 441 and add to both sides
-6y - 480 + 441 = x^2 - 42x + 441 simplify the left, factor the right
-6y - 39 = (x - 21)^2 factor the left side as
-6 (y + 39/6) = ( x - 21)^2 (1)
Using the form
4p (y - k) = ( x - h)^2 we can write (1) as
4 (-3/2)(y - (-39/6) ) = ( x - 21)^2
The vertex = ( h, k) = ( 21, -39/6) and p = -3/2
And the directrix is given by
y = k - p → y = -39/6 - (-3/2) = -39/6 + 3/2 = -39/6 + 9/6 =
-30/6 = - 5-------> y=-5
the answer Part 1) is
y=-5
Part 2) (y+2)^2= 129X-5
What is the equation of the directrix of the parabola?Using the form
4p (x - h) = ( y - k)^2 we can write (1) as
4*(129/4)*(x-5/129)=(y+2)²
The vertex = ( h, k) = ( 5/129, -2) and p = 129/4
And the directrix is given by
x = h - p → x = 5/129 - (129/4) = (20-16641)/516-----> -16621/516
x=-32.21
the answer part 2) is
x=-32.21I need to answer three questions about y = x^(-2) on the interval [-4, -1/2]. I have attached my questions and my answers as screenshots:
Part 1 - ANSWER C
Part 2 - ANSWER A
Part 3 - ANSWER B
I am referring to each part in the order that I uploaded the screenshots. You will see that my answers are highlighted in blue. I like second opinions!
the equation 3sinx+cos^2x=2 is solved below
Please help! Thanks!
Group terms that contain the same variable, and move the constant to the opposite side of the equation
(A²-3A)=-1Complete the square. Remember to balance the equation by adding the same constants to each side.
(A²-3A+2.25)=-1+2.25
Rewrite as perfect squares
(A-1.5)²=1.25(+/-)(A-1.5)=1.12
first solution
(A-1.5)=1.12--------> A=1.12+1.5-----> A=2.62-----> sin x=2.62
second solution
-(A-1.5)=1.12----> -A+1.5=1.12----> A=1.5-1.12----> A=0.38---> sin x=0.38
the answer is
the equation was factored incorrectly
Its is b. hope this halps
Please help with geometry
If the sum of two numbers is 20 and one of those numbers is three times the other, what is the smaller number?