What simple interest rate would allow $6000 to grow to an amount of $14550 in 10 years?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: 14.25 \: \% \: }}}}}[/tex]
Step-by-step explanation:
Given,
Principal ( P ) = $ 6000
Amount ( A ) = $ 14550
Time ( T ) = 10 years
Rate ( R ) = ?
Finding the Interest
The sum of principal and interest is called an amount.
From the definition,
[tex] \boxed{ \sf{Amount = \: Principal + Interest}}[/tex]
plug the values
⇒[tex] \sf{14550 = 6000 + Interest}[/tex]
Swap the sides of the equation
⇒[tex] \sf{6000 + Interest = 14550}[/tex]
Move 6000 to right hand side and change its sign
⇒[tex] \sf{Interest = 14550 - 6000}[/tex]
Subtract 6000 from 14550
⇒[tex] \sf{Interest = \: 8550 \: }[/tex]
Interest = $ 8550
Finding the rate
[tex] { \boxed{ \sf{Rate = \frac{Interest \times 100}{Principal \times Time}}}} [/tex]
plug the values
⇒[tex] \sf{ Rate = \frac{8550 \times 100}{6000 \times 10} }[/tex]
Calculate
⇒[tex] \sf{Rate = \frac{855000}{60000} }[/tex]
⇒[tex] \sf{Rate = 14.25 \: \% \: }[/tex]
Hope I helped!
Best regards!!
solve for x 1/4(4x-1)=-1/7-5/7
Answer:
[tex]x=-\frac{17}{28}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}[/tex]
[tex]x-\frac{1}{4}=-\frac{6}{7}[/tex]
[tex]x = -\frac{6}{7} + \frac{1}{4}[/tex]
[tex]x = -\frac{17}{28}[/tex]
plug [tex]x[/tex] in the equation to make sure of your answer:
[tex]\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}\\\frac{1}{4}(4(-\frac{17}{28}) -1)=-\frac{1}{7}-\frac{5}{7}\\-\frac{17}{28} -\frac{1}{4}=-\frac{6}{7}\\-\frac{6}{7}=-\frac{6}{7}[/tex]
The distance from the earth to the sun is approximately 59.25 10miles from Earth. The Distance from the earth to the moon is 52.4 10What is the maximum distance from the moon to the sun?
Answer:
The answer is:
The Moon, on average, is about 150 million kilometers away from the Sun.
Identify the polynomial 4x3 + 6x2
52
A monomial
B binomial
C trinomial
D quadrinomial
Answer:
4 x 3 + 6 x 2 has 4 terms so it's an quadrinomial
Step-by-step explanation:
D quadrinomial
What fraction of an hour is 32 minutes? please let me know! :(
Answer:
8/15
Step-by-step explanation:
1 hour = 60 minutes
32 minutes / 60 minutes
Divide top and bottom by 4
8/15
Find the missing lengths of the sides
Does anybody know this???
Answer:
angle congruent to a given angle.
Step-by-step explanation:
This is the construction of an angle congruent to a given angle.
Jenifer is 1 year older than twice Zack's age. Write an expression that repersents Jenifer's age in relation to zack.
Answer:
j = 2z + 1
jennifer is one year older or jennifer is plus one.
twice zacks age or two times zacks age.
jennifer's age is two times zacks age plus one or
j = 2z + 1
1. An airplane took off and reached an altitude of
10,000 feet. Due to a storm, it had to decrease
it's altitude by 2,500 feet. What is the
airplane's current altitude?
a. 25,000
b. 500
c. 7,500
d. 12,500
Please answer it will help me a lot
Find the point-slope equation for
the line that passes through the
points (1,-9) and (-10, 101). Use
the first point in your equation.
y + 9 = [ ? ](x-[ ])
Answer:
Below in bold.
Step-by-step explanation:
The slope of the line = (101 - -9) / (-10 - 1)
= 110/ -11
= -10
The required equation is y + 9 = -10(x - 1)
What is the equation of a vertical line passing through (-5, -2)?
O y = -2
O x = -5
O y = -3
O x = -7
Answer:
x=-5
Step-by-step explanation:
if point the line is passing through is -5, -2 and the line is vertical than x would have to stay the same no matter where the y is because it's vertical.
In the set, (1,4), (3,5) and (-1, 2), what is the range?
{2, 4, 5)
0_{1, 4, 3, 5, -1, 2}
O {1,3)
{-1, 1, 3}
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \: , \: 4 \: , \: 5 \: }}}}}[/tex]
Step-by-step explanation:
Given,
{ 1 , 4 } , { 3 , 5 } , { - 1 , 2 }
To find : Range
Range are the set of all y - co-ordinates .
So,
Answer : { 2 , 4 , 5 }
Hope I helped!
Best regards!
The product of five and a number, increased by 9 is equal to fifteen less than three times then
number. Write an equation, solve, and find the number.
Answer:
x = -12
Step-by-step explanation:
Let x be the number.
The product of 5 and x increased by 9 is equal to 15 less than 3 times x.
5x + 9 = 3x - 15.
We can isolate x, getting (5-3)x = -15-9
Then we can solve:
2x = -24
x = -12.
The required number is -12.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, The product of five and a number, increased by 9 is equal to fifteen less than three times then number.
Let x be the number.
Establishing the equation,
5x + 9 = 3x - 15.
(5-3)x = -15-9
Then we can solve:
2x = -24
x = -12.
Hence, the number is -12
For more references on equations, click;
https://brainly.com/question/29657988
#SPJ2
i need some help thanks!
Answer:
1. square root 9/4
2. 5/3
3. square root 5
4. 2.5
Step-by-step explanation:
The first one would equal 1.5.
The second is 1.6.
The third is 2.2.
And obviously the last is 2.5.
Evaluate 4−2f when f=1
Answer:
2
Step-by-step explanation:
f=1
=4-2f
=4-2(1)
=4-2
=2
Hope this helps ;) ❤❤❤
Answer:
2Step-by-step explanation:
[tex]4-2f\\\\f =1\\4-2(1)\\=4-2\\= 2[/tex]
Which of the following is an example of a permutation?
Permutation
Step-by-step explanation:
Permutation is an example of the mathematics in which item are arranged in different way.For example ABC, ACB, BCA, CBA, CAB, BAC etc. The order of an arrangement are different in each alphabet. The product of number also be defined as in the form of n to 1 for example : 5*4*3*2*1 = 120Learn more: permutation
https://brainly.in/question/17438663a²b-b² if a and=b-7
True or False? The number 0.8 can be written as 8/10, so it is an irrational number
*11. Find the value of the expression (-1)+2+(-3) + 4 + ... + (-99) + 100.
Solution
50
Step-by-step explanation:(-1) + 2 + (-3) + 4 + ... + (-99) + 100 =
= 2 - 1 + 4 - 3 + .. + 100 - 99
= 1 + 1 + .. + 1
= 50×1
= 50
Answer:
50.
Step-by-step explanation:
Each pair of numbers add up to 1:
-1 + 2 = 1, -3 + 4 = 1 and so on
There are 50 of theses pairs so the value is 50.
An object is moving at a speed of 3 kilometers per hour. Express this speed in feet per
minute. Round your answer to the nearest whole number.
The speed of the object in feet per minute to nearest whole number is 164feet/min
Speed is the ratio of the distance to the time of an object. Mathematically;
Speed = Distance/Time
Given the following
Speed = 3km/hr
Using the conversion ratio
1km = 3280.84feet
3km = x
Cross multiply
x = 3 * 3280.84
x = 9,842.52feet
Convert 1 hour to minute
1 hour = 60minutes
Get the speed in feet per minutes
Speed in feet/minutes = [tex]\frac{9,842.52}{60}[/tex]
Speed in feet/minutes = 164.042 feet/minutes
Hence the speed of the object in feet per minute to nearest whole number is 164feet/min
Learn more here: https://brainly.com/question/1462592
The speed in feet per minute is 164.
Given the following data:
Speed = 3 kilometers per hour.In this exercise, you're required to convert the value of the speed given in kilometers per hour to feet per minute.
Conversion:
1 kilometer = 3280.84 feet
3 kilometer = X feet
Cross-multiplying, we have;
X [tex]= 3280.84[/tex] × [tex]3[/tex]
X = 9842.50 feet
Since we know that one (1) hour is equal to sixty (60) minutes, we would divide the value of X by 60 in order to convert it to feet per minute.
[tex]X = \frac{9842.50}{60}[/tex]
X = 164.042 feet per minute.
To the nearest whole number;
X = 164 feet per minute
Therefore, the speed in feet per minute is 164.
Find more information: https://brainly.com/question/24457218
The sum of three consecutive integers is 168. What are the integer?
Answer:
Step-by-step explanation:
Hello, let's note n this integer.
n+ (n+1) + (n+2) = 168
3n+3=168
3(n+1)=168
n+1=168/3=56
n = 56-1=55
Thanks
What is the volume of a cylinder that is 15-m tall and has a radius of 3 m. Use 3.14 for π, and round your answer to the nearest cubic meter.
A. 141 m3
B. 283 m3
C. 339 m3
D. 424 m3
Answer:
D. 424 m³
Step-by-step explanation:
Use the formula for the volume of a cylinder
V = [tex]\pi[/tex]r²h
Plug in the values we know
V = (3.14)(3²)(15)
V = 423.9 m³
This is closest to answer choice D, 424 m³
So, D is correct
PLEASE HELP ME!!! ill put brainliest 7
Answer:
The answer is A, 19/49
Step-by-step explanation:
normally you would do the equation as usual, but if you notice the words (without replacing the first) then that means there will be 24 marbles left.
that means it can't be B C or D because 24 can't be simplified into the denominators 5, 20, or 15
What is the volume of this rectangular prism 2/3,5,6
Answer:
The volume of the rectangular prism is 20.
1,872 words in 26 minutes. Find the unit rate.
Answer:
72 words per minute
Step-by-step explanation:
The unit rate in this case is words per minute. Therefore, the answer is 1872 / 26 = 72 words per minute.
What properties can be used to solve 7y-15=-29. Identity property of multiplication,addition property of equality ,distributive property,inverse property of mulplication,commutative property of addition
Answer:
Addition Property of Equality.
Inverse property of multiplication.
Step-by-step explanation:
Given the equation:
[tex]7y-15=-29[/tex]
First of all, let us use Addition Property of Equality.
According to the property, if we add a number on both sides of an equality, there is no change in the equality.
In other words, the equality will be same if we add the same number on Left Hand Side and Right Hand Side of the equality.
First of all, let us add 15 on both sides of the equality:
[tex]7y-15+15=-29+15\\\Rightarrow 7y=-14[/tex]
Now, let us Inverse property of multiplication.
i.e. Multiplication of a number with its inverse is equal to 1.
[tex]a\times \frac{1}{a} = 1[/tex]
So, let us multiply the given equation with [tex]\frac{1}7[/tex]
[tex]7y \times \dfrac{1}{7}=-14 \times \dfrac{1}{7}\\\Rightarrow 1y =-2\\\Rightarrow y=-2[/tex]
The properties used are:
Addition Property of Equality.
Inverse property of multiplication.
Write the phrase as an expression.
the difference of a number t and 9
Answer:
[tex] t - 9 [/tex]
Step-by-step explanation:
Given that t represents a number which is unknown to us, the difference of the number and 9 can be expressed algebraically as:
[tex] t - 9 [/tex].
The difference of t and 9 = [tex] t - 9 [/tex].
anyone know the answer?
Answer:
The answer is 3.
19+17=36.
36/12=3.
If you only have a compass and straightedge, how would you construct an equilateral triangle so segment AB is one of the sides?
Describe the steps, be very specific.
A
•B
Need help ASAP
Answer:
Step-by-step explanation:
To construct an equilateral triangle so that segment AB is one of the sides of the triangle we will follow the following steps.
1). Set a distance equal to the segment AB in the compass and draw two arcs on the same side of AB.
2). Join the point of intersection of these arcs to A and B with the help of a straightedge.
3). Hence an equilateral triangle (with all equal sides) is constructed.
Which figure represents an undefined term?
Answer: 4th figure , where XY is a line.
Step-by-step explanation:
There are 3 undefined terms : 1) point 2) line 3 ) planeFrom up to down, The first figure is representing ray( end point at X ) which is an defined term and it is defined as "A ray is a line with one end point."
The second figure is representing a line segment with 2 end-points at X and Y and it is and defined term and it is defined as "A line segment is a line with 2 end points."
The third figure is a joint of two rays and they are making an angle which is again an defined term.
The last figure is representing a line which has no endpoints and is an undefined term.
Hence, the last figure is representing an undefined term "line".