Michael invests USD 20 000 at 9.6% p.a. compounded monthly.
How long will it take for his investment to reach USD 25 000?
Given :
A = 25000
P = 20000
r % = 9.6 % = 0.096
n = 12
To Find :
The time taken say t.
Solution :
We know, compound interest is given by :
[tex]A=P(1+\dfrac{r}{n})^{n.t}[/tex]
Taking log both sides :
[tex]A=P(1+\dfrac{r}{n})^{n.t}\\\\log\ \dfrac{A}{P}= n.t\times log( 1+\dfrac{r}{n})\\\\t =\dfrac{1}{n}\times \dfrac{log\ \dfrac{A}{P}}{log(1+\dfrac{r}{n})}\\\\\\t=\dfrac{1}{12}\times \dfrac{log\ \dfrac{25000}{20000}}{log(1+\dfrac{0.096}{12})}\\\\\\t=2.33\ years[/tex]
Hence, this is the required solution.
What is the value of x?
Answer:
x = 32
Step-by-step explanation:
Each angle of the equilateral triangle is 60°.
(2x -4)° = 60°
x -2 = 30 . . . . . . divide by 2°
x = 32
__
5y° = 60°
y = 12 . . . . . . . . . divide by 5°
simplify this surd expression
Answer:
4√6
Step-by-step explanation:
Kyle has $200 to spend on a camera and a camera case. If he wants to spend three times as much on his camera as on the case, what is the most he should spend on the camera case?
Answer:
$50
Step-by-step explanation:
I took $200 divided by 4 (he wants to spend 3 times as much) so he would spend $50 on case and $150 on camera
how can you solve quadratic equation in one variable using factoring method?
The steps are;
look for two numbers such that if added will give the coefficient of x and if multiplied will give the product of the constant and the coefficient of x²Factor the common value from both brackets and get the required variableLet us assume the quadratic equation x² - 2x + 1 = 0
To solve this by factoring;
Step 1: We will first look for two numbers such that if added will give the coefficient of x and if multiplied will give the product of the constant andthe coefficient of x²
For the given equation, the two values are -1 and -1
The quadratic equation becomes;
x² - 1x - 1x + 1 = 0
x² - x - x + 1 = 0
(x²-x)-1(x-1) = 0
Step 2: Factorize the common value from both brackets
x(x-1)-1(x-1) = 0
x-1 = 0 and x - 1 = 0
x = 1twice
The given steps are the ways you can solve quadratic equations in one variable using factoring method
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3x + 5y + z = 2
x + 2y + 3z = 6
2x + 4y + 2z = 9
x divided by six eqauls twentyfive
x/6=25
Answer:
x = 150Step-by-step explanation:
x / 6 = 25
x = 25 (6)
x = 150
Answer: x=150
Step-by-step explanation:
can you guys help, plz i dont understand it
Answer:
21x+6
Step-by-step explanation:
15-7m=-5-2m solve the equation
You and your sister help your neighbor rake their lawn. Your sister can rake at a rate of 2
square meters per minute, and you can rake at a rate of 4 square meters per minute. You
start at the same time. After how many minutes will you rake 8 square meters more than
Your sister?
Answer:
4 minutes
Step-by-step explanation:
Min. Sister. You
1. 2. 4
2. 4. 8
3. 6. 12
4. 8. 16
What is the angle relationship? Meaning, what is the angle for this?
I’ll give brainliest to whoever answers right! :)
Answer:
Easy. Alternate interior angle.
Step-by-step explanation:
What is the vertex of the graph shown?
Answer:
(0,2)
Step-by-step explanation:
To find vertex all you have to do is look were the bend part of the line is on the x-axis or y-axis iin this case its on the y-axis
Brainiest would be noice
High Hopes^^
Barry-
What is the slope and equation of a line parallel to the x-axis passing through (3,7)?
Answer:
We know that the equation is y=7 because it passes through point (3,7), and 7 is the y-coordinate of that point (remember we don't really care about the 3 because since the line is parallel to the x-axis, it will pass through all values of x, so the 3 is irrevalent).
Step-by-step explanation:
The equation of the line passing through the point (3,7) and parallel to the x-axis is y =7.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
We know that the equation is y=7 because it passes through the point (3,7), and 7 is the y-coordinate of that point (remember we don't really care about the 3 because since the line is parallel to the x-axis, it will pass through all values of x, so the 3 is prevalent.
To know more about an equation of the line follow
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Battery wholesaler produces 5200 batteries. Of those batteries produced, 8% are defective. How many batteries are defective?
40
416
650
41,600
Answer:
416
Step-by-step explanation:
Took the quiz. :<C
Given: 9-4x = -19
Prove: x = 7
Answer:
Easy
Step-by-step explanation:
-19-9=-28
-28/-4=7
thus x=7
what is x5/3x + 1/3x=10+7/3x
Answer:
x=6/25 or decimal = x=-0.24
Step-by-step explanation:
Solve using the standard algorithm.
a. 0.3 + 0.82 = ____________
b. 1.03 + 0.08 = ___________
Answer:
A= 1.12
B= 1.11
Step-by-step explanation:
A. 0.82 B. 1.03
+ 0.3 + 0.08
______ _______
1.12 1.11
i need help with geometry
Answer:
5
Step-by-step explanation:
If has a decimal approximation of 3.4, then is between which two integers? In your final answer, include all calculations.
Answer: It is between 3 and 4.
Step-by-step explanation:
Integers are whole numbers and its opposite, for example, -5,-4,-3,-2,-1, 0, 1,2,3,4, 5 ,....
Meaning that 3.4 is not an integer so it fall between two integers and those integers has to be positive because 3.4 is a positive number.
3.4 is slightly greater than 3 but is less than 4.
Meaning that 3.4 is between the integers 3 and 4.
Mia can purchase a 40-ounce jar of peanut butter for $5.20 or a 15-ounce jar for $2.70. How much does Mia save per ounce by buying the 40-ounce jar? Pleaseeee help hurry in time.
Jacob has unlocked 6 less than
twice as many game levels as
Shannon. If Jacob has unlocked 14
levels, how many levels has
Shannon unlocked?
Answer:
Shannon has unlocked 40 levels.
Step-by-step explanation:
14 + 6 = 20
20 * 2 = 40
George is in a book club. He earns 6 points for every 9 books he reads, and he needs to earn 24 points to receive a free book. How many points does he earn per book?
Answer:
36 books
Step-by-step explanation:
9=6
6*4=24 (9*4=36)
Please help!!!!!!!!!
Answer:
bottom one
Step-by-step explanation:
What is the area, in square meters, of the shape below? Express your answer as a fraction in simplest form
Answer:
[tex]\frac{5}{12}[/tex]m²
Step-by-step explanation:
Given parameters:
Base = [tex]\frac{5}{3}[/tex]m
Height = [tex]\frac{1}{2}[/tex]m
Unknown:
Area of the triangle = ?
Solution:
The area of a traingle is given as:
Area = [tex]\frac{1}{2}[/tex] x base x height
Insert parameters and solve;
Area = [tex]\frac{1}{2}[/tex] x [tex]\frac{5}{3}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{12}[/tex]m²
Answer:
Step-by-step explanation:
5/10
Write the equation of each line in slope-intercept form. A line that passes through
(-4, 8) and (4, 6)
Answer:
[tex]y=-\frac{1}{4}x+7[/tex]
Step-by-step explanation:
Write in slope-intercept form, y = m x + b .
Answer:
4y=x+20
Step-by-step explanation:
gradient
8-6/-4-4
= 1/4
y-6=1/4(x-4)
4y-24=x-4
4y=x+20
Why the following triangles are congruent!
Answer:
They have equal ticks and angles. They are congruent because they are equal in all sides and angles.
Step-by-step explanation:
18. Supongamos que tras una encuesta se ha concluido que si se elige al azar a una persona, la probabilidad de que esté a favor de la retransmisión de partidos de fútbol es de 0,8; de que esté a favor de la existencia de canales de televisión de pago, de 0,4;y de que esté a fa vor de la retransmisión de partidos de fútbol y tam bién de la existencia de canales de pago, de 0,3 a) Calcula la probabilidad de que una persona esté a favor de la retransmisión de partidos de fútbol o de la existencia de canales de televisión de pago.
Responder:
0,9
Explicación paso a paso:
Sea P (MuT) la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago
probabilidad de que esté a favor de retransmitir partidos de fútbol sea P (M) = 0,8
Probabilidad de que esté a favor de la existencia de canales de televisión de pago P (T) = 0,4
La probabilidad de que esté a favor de la retransmisión de partidos de fútbol y también de la existencia de canales de pago sea P (MnT) = 0,3
Usando la fórmula de notación de conjuntos
P (MuT) = P (T) + P (M) - P (MnT)
Sustituir los parámetros dados
P (MuT) = 0,4 + 0,8-0,3
P (MuT) = 1,2-0,3
P (MuT) = 0,9
De ahí que la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago es de 0,9.
Answer:Responder:
0,9
Explicación paso a paso:
Sea P (MuT) la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago
probabilidad de que esté a favor de retransmitir partidos de fútbol sea P (M) = 0,8
Probabilidad de que esté a favor de la existencia de canales de televisión de pago P (T) = 0,4
La probabilidad de que esté a favor de la retransmisión de partidos de fútbol y también de la existencia de canales de pago sea P (MnT) = 0,3
Usando la fórmula de notación de conjuntos
P (MuT) = P (T) + P (M) - P (MnT)
Sustituir los parámetros dados
P (MuT) = 0,4 + 0,8-0,3
P (MuT) = 1,2-0,3
P (MuT) = 0,9
De ahí que la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago es de 0,9.
Step-by-step explanation:
between which two consecutive integers does the negative square root of 20 lie
Please answer this, i really need it its my last question
Answer:
y=-4 to 4
x=-1 to -7
Step-by-step explanation:
what is the graph of y= -4x -1?
Answer:
The y-intercept is -1
The slope is -4 so you will go down 4 and over 1 to the right.
The line is negative
So it will be pointing Northwest and Southeast \ that way.
Step-by-step explanation:
Did you understand this??