Answer:
The total earned after 30 days is 465000.
Step-by-step explanation:
The amount of money that I'll recieve can be modelled as a arithmetic sequence in which the next element is related to the prior by a sum of a rate "q". This sequence can be seen below:
{1000, 2000, 3000, ...}
Where q = 1000. In order sum all the "n" terms on a sequence of this kind we can use the following formula:
Sn = (n/2)*(a1 + an)
And to find the term an, we can use the formula:
an = a0 + (n-1)*r
Where n is the position of the number we want to calculate, in this case 30, a0 is the first number on the sequence and r is the rate between consecutive numbers. So the 30th term is:
a30 = 1000 + (30 -1)*1000
a30 = 1000 + 29*1000
a30 = 1000 + 29000 = 30000
And the total obtained is:
s30 = (30/2)*(1000 + 30000) = (30/2)*(31000)
s30 = 930000/2 = 465000
The total earned after 30 days is 465000.
The number 1729 is the smallest number that can be expressed as the sum of two cubes in two different ways as 1729 = 12^3 + 1^3 = 10^3 + 9^3. Find two other numbers with the same property. Express them as the sum of two cubes.
Answer:
4104 and 13832
Step-by-step explanation:
This type of number is known as the Hardy-Ramanujan Number.
We have that 1729 is the first number where this is found, but there are others. The second number that meets this is:
4104
2 ^ 3 + 16 ^ 3 = 9 ^ 3 + 15 ^ 3
And we also have:
13832
18 ^ 3 + 20 ^ 3 = 2 ^ 3 + 24 ^ 3
That is to say, the numbers 4104 and 13832 comply with this property
A robot’s height is 1 meter 20 centimeters. How tall is the robot in millimeters?
Answer:
1200 millimeters
Step-by-step explanation:
The sum of an 84-number series is –7,980. What is the sum of the first and last numbers?
Answer:
- 190
Step-by-step explanation:
Since the sum of 84 number series is -7980. We have to find the sum of first and last numbers. Since sum of an arithmetic sequence is represented as. S =. (First + last) =. So the total of first and last term is (-190). Option B. -190 is the correct option.
Answer:
B) -190
Step-by-step explanation:
Trust
The solutions of a quadratic equation are 5 and -1. What is the factored form of a related quadratic function?
Answer:
f(x)=(x+1)(x-5)
Step-by-step explanation:
The solutions to a quadratic equation are going to be your x-intercepts, or when y is equal to zero. For y to be zero, all you have to do is have one value equal to zero. When x is 5, (x-5) is equal to zero. When x is -1, (x+1) is equal to zero. This is one example of what your quadratic equation could be.
what is 3.39 as a fraction
Answer:
339/100
Step-by-step explanation:
the answer is 339/100
What would be the volume of this solid if the height were halved and the other dimensions were reduced proportionally? Round to the nearest whole number.
The image?is of a?parallelogram prism standing on its face and making an angle of 60 degrees with horizontal. The dimension of prism is 3 cm by 4cm by 10 cm.
A university lecturer has an annual salary of $60000. If this increases by 2% of the previous year each year, what will her salary be after 10 years.
Answer:
73,139.67
Step-by-step explanation:
June and the total of 4/6 hour on her math and reading homework which pair of models could show the amount of time in hours she spends on each subject
Answer:
2/3
Step-by-step explanation:
Simplify the given expression, using only positive
exponents. Then complete the statements that
follow
(x²y3)-1 72
(x-2y+z)2
x60, y#0, 2*0.
?
The exponent on x is
The exponent on y is
The exponent on z is
Answer: x=4 y=14 z=4
Step-by-step explanation:
On edge it is that
The required exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.
What is simplification?Using math and algebraic principles, simplification entails removing pointless variables, factors, or operations from an expression. Getting an expression that is simpler to use, manipulate, or solve is the aim. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property.
Here,
To simplify the given expression, we need to use the rules of exponents:
= [(x²y³)⁻¹ / (x⁻²y²z)²]²
= [(1 / x²y³) / (x⁻⁴y⁴z²)]²
= [(1 / x²y³) * (x⁴ / y⁴z²]²
= x⁴ / y¹⁴z⁴
Therefore, the exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ7
Which number line shows the solutions to n<-3
Answer:
[In Picture]
Step-by-step explanation:
There are no given options.
However, I am able to recreate the best answer for the question given.
There would be arrow going to the left from -3. The arrow will include all numbers less than -3.
Since there is a less than sign, the circle at the beginning of the arrow is open.
Choose the option that closely matches the line shown.
The number line is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
The number line of n < - 3 is n less than -3.
The graph of the number line is given below.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
n < - 3
This is read as,
n is less than -3.
The graph of the number line is given below.
Thus,
The number line of n < - 3 is n less than -3.
The graph of the number line is given below.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ5
Simplify
[tex] \sqrt[4]{ {5}^{4} } [/tex]
4
5
25
625
Answer:
5
Step-by-step explanation:
[tex] \sqrt[4]{ {5}^{4} } \\ = ({5}^{4})^{ \frac{1}{4} } \\ = {5}^{ \frac{4}{4} } \\ = 5[/tex]
Answer:
5
Step-by-step explanation:
how to find the mean median and mode for 6 5 6 7 6 6 7 4 6 7 7 6 7 7 7 4 7
Answer:
the answer is 7 fiyfooutdt7odtudoutdup tiff 7tduptftucoutctuco7tc
Answer:
the medium is 7
Step-by-step explanation:
How would I write out,10 times a number increased by four is no more than 25 as an inequality?
Answer:
10x + 4 [tex]\geq[/tex] 25
The base of a rectangular prism has an area of 12 square centimeters. The height of the rectangular prism is 3
centimeters.
What is the volume, in cubic centimeters, of this rectangular prism?
Answer:
36
Step-by-step explanation:
12x3=36
Lxwxh
Axh
Answer:
18,6,108
Step-by-step explanation:
edge2020
easy geometric shapes questions help please! they go together
7.solution
v=4/3πr^3
=4/3π×6^3
=4/3×216cm^3π
=288cm^3π
8.solution
SA=4πr^2
=4×6^2π
=4×36cm^2π
=144cm^2π
-25z+1+35z=10z+1 how mu
Use the data set below to answer question
91, 76, 83, 100, 76
What is the mode? What is the median?
What is the mean?"
Answer:
the mode is 76, the median is 83, and the mean is 85.2
Step-by-step explanation:
Mode is the number which appears most often in a set of numbers.
To find the Median, place the numbers in value order and find the middle number.
To find mean add up all the numbers, then divide by how many numbers there are
HELP ASAP DUE NOW GIVEIN BRAINLIST
The student did not properly distribute the 4 to all terms in the parenthesis:
-8n + 4(1 + 5n) = -6n - 14
First, distribute 4 to ALL terms in the parenthesis:
-8n + 4 + 20n = -6n - 14
Next, isolate the variable, n. Add 6n and subtract 4 from both sides:
-8n + 20n (+6n) + 4 (-4) = -6n (+6n) - 14 (-4)
-8n + 20n + 6n = -14 - 4
Simplify. Combine like terms:
(-8n + 20n) + 6n = -18
12n + 6n = -18
18n = -18
Isolate the variable, n. Divide 18 from both sides:
(18n)/18 = (-18)/18
n = (-18)/18
n = -1
n = -1 is your answer.
~
Answer:
-According to the student's work shown, The student needs to distribute 1 and 5[tex]n[/tex] by 4. So, the mistake was that the student did not distributed the 1 and 5[tex]n[/tex], in which the student only distributed the 1.
-The equation: [tex]8n + 4(1+5n)=-6n-14[/tex]
-Distributed Incorrectly:
[tex]8n + 4+5n=-6n-14[/tex] (only distributed the 1 by the 4)
-Distributed Correctly:
[tex]8n + 4+20n=-6n-14[/tex] (distributed both 1 and 5[tex]n[/tex] by the 4)
-The correct calculation:
[tex]8n + 4(1+5n)=-6n-14[/tex]
[tex]8n + 4+20n=-6n-14[/tex]
[tex]12n+4 = -6n -14[/tex]
[tex]12n + 4+ 6n=-6n+6n-14[/tex]
[tex]18n +4 = -14[/tex]
[tex]18n +4 -4 = -14 -4[/tex]
[tex]18n = -18[/tex]
[tex]\frac{18n}{18}= \frac{-18}{18}[/tex]
[tex]n = -1[/tex]
The correct answer is [tex]n = -1[/tex] .
About 450 manta rays are seen near lady Elliot island each year if you were to spot one manta ray at random what is the probability that it would be clouseau
Answer:
Probability that if a manta ray is spotted at random, it would be clouseau = Total number of Clouseau spotted each year) ÷(Total number of manta rays seen each year)
Step-by-step explanation:
The information given is not enough to determine the probability.
We need to know, how many Clouseau are seen each year, then we can find the desired probability.
The Parameters:
Total number of manta rays seen each year = 450
Probability that if a manta ray is spotted at random, it would be clouseau,
P = Total number of Clouseau spotted each year, C) ÷(Total number of manta rays seen each year, T)
P = C/T
P = C/450
Help me please !!!!!
Answer:
C =119.32
A =1133.54
Step-by-step explanation:
UR is the radius = 19
Let pi = 3.14
The circumference is
C = 2*pi*r
C = 2 * 3.14 * 19
C =119.32
The area is given by
A = pi r^2
A = 3.14 * (19)^2
A =1133.54
In a survey of students, 1162 stated they cheated and 2468 stated they did not. If one student is randomly selected what is the probability that they cheated
Answer:
[tex] n = 1162 +2468 =3630[/tex]
And the probability that they cheated and we can use the classical definition of probability given by:
[tex] p =\frac{successes}{Total}[/tex]
And replacing we got:
[tex] p=\frac{1162}{3630}= 0.320[/tex]
So then the probability of people cheated is 0.320 or 32% approximately
Step-by-step explanation:
For this problem we know that in a survey of students, 1162 stated they cheated and 2468 stated they did not.
The total of people is given by:
[tex] n = 1162 +2468 =3630[/tex]
And the probability that they cheated and we can use the classical definition of probability given by:
[tex] p =\frac{successes}{Total}[/tex]
And replacing we got:
[tex] p=\frac{1162}{3630}= 0.320[/tex]
So then the probability of people cheated is 0.320 or 32% approximately
PLEASE HELP!! WILL GIVE BRAINLIEST IF RIGHT
An account earns annual simple interest, Find the interest earned, principal, interest rate, or time.
Interest earned: ?
Principal: $1250
Interest rate: 3%
Time: 4 years
Answer:
:
I think I know how to solve this. You are trying to find the interest earned.
Step-by-step explanation:
you take the interest rate and convert into a percentage. 3%=0.03You divide that decimal by 100. 0.03/100=0.003Take this number and multiply by the time. 0.0003x4=0.0012You then finally multiply that number by the principle and you have your answer. 0.0012x1250=1.5 percentAnswer:
t says or, so you can answer any however the answer to time would be 4 years or so
Step-by-step explanation:
10x5 = 50
50x50 = 2500
2500x.4= 1000
1000/250=4
4
Step-by-step explanation:
Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?
Answer:
Step-by-step explanation:
4 ft
Answer:
Step-by-step explanation:
4 ft
brainliest pls i need it :,)
Write the equation of a line that is parallel to y=6x and that passes through the point (-7,1)
Answer:
so y=6x+43
Step-by-step explanation:
Slope is 6, so using y=mx+b
1=6(-7)+b, b = 43
so y=6x+43
what times 8 equals 2
2=x8
x=?
Please help! :0
Answer:
1/4 or .25
Step-by-step explanation:
8x =2
Divide by 8 on both sides
8x=2
__. ___
8. 8
x = 2/8=1/4 or .25
Answer: x equals 1/4 or 25% or 0.25
Which binomial is a factor of 9x2 – 64?
Answer:
Factor:
9x2 – 64
=(3x+8)(3x−8)
3x – 8
Suppose that in 8 minutes,40 gallons of water came out of a pipe. What was the rate in gallons per minute?
Answer:
5 galon por min uto
Step-by-step explanation:
A teacup has a radius of 5 centimeters. What is the teacup's diameter? Help please.
Answer:10
Step-by-step explanation:
Radius is half the diameter
Answer:
10 cm
Step-by-step explanation:
the radius is half the diameter so 5x2=10cm
Carlos has 4/5 of a tank of fuel in his car. He uses 1/10 of a tank per day.
How many days will his fuel last.
Answer:
8 days.
Step-by-step explanation:
To solve this, we will need to divide fractions to find the amount of days his fuel will last. Remember that when dividing fractions, you need to multiply by the reciprocal of the fraction.
We can do this by:
[tex]\frac{4}{5} * \frac{10}{1} = \frac{40}{5} = 8[/tex]
Therefore, his gas will last 8 days.
Answer:
8
Step-by-step explanation:
number of days=total fuel÷consumption per day
=(4/5)÷(1/10)
=4/5 ×10/1
=8 days
Would this be -4? Just wanna confirm!
Answer:
Yes
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
