Answer:
155,588
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = growth rate
N = number of years 2021 - 2014 = 7
130,000(1.026)^7 = 155,587.6
rounding off to the nearest whole number is 155,588
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
Answer:
2.35%
Step-by-step explanation:
Firstly, we calculate the z-score of each
we have this as;
z-score = (x - mean)/SD
from the question, mean is $1,500 while standard deviation is $250
So for each;
z-score = (750-1500)/250 = -750/250 = -3
z-score = (1000-1500)/250 = -500/250 = -2
Simply put, we want to calculate the percentage of prices between three standard deviations below the mean and two standard deviations below the mean
We can calculate this by using the empirical rule chart;
By looking up the this, the percentage of values between 3 SD below the mean and 2 SD below the mean is 2.35%
Which is the graph of g(x) = 2x – 1 + 3?
Answer:
Your question is not very clear, hope I get what you want
Step-by-step explanation:
2x-1+3
=2x+2
=2(x+1)
Answer:The graph in the attached figureStep-by-step explanation:we have[tex]g(x)=2^{x-1}+3[/ tex
The values a,b and c.
Answer:
a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4
Step-by-step explanation:
Given
x - [tex]\frac{1}{8}[/tex] y + 4 ← in the form ax + by + c
with a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4
Raju's father is 26 years younger than raju's grandfather and 29 years older than raju. The sum of the ages of all the three is 135 years. Also raju's grandmother is 4 times raju's age and his sister is 7 times younger than him
Answer:
Raju = 17 years
Raju's father age = 46 years
Raju's grandfather age = 72 years
Raju's grandmother = 68 years
His sister = 10 years old
Step-by-step explanation:
Raju’s father is 26 years younger than Raju’s grandfather and 29 years older than Raju. The sum of the ages of all the three is 135 years. Also, Raju's Grandmother is four times of Raju’s age and his sister is 7 years younger than him.
Let
Raju's age = x
Raju's father age = x + 29
Raju's grandfather age = (x + 29) + 26
Total ages = 135
(x) + (x + 29) + (x + 29) + 26 = 135
x + x + 29 + x + 29 + 26 = 135
3x + 84 = 135
3x = 135 - 84
3x = 51
x = 51 /3
x = 17
Raju's age = x = 17 years
Raju's grandmother = 4 times raju's age
= 4 × 17 years
= 68 years
his sister = 7 years younger than him.
= 17 - 7
= 10 years old
Raju's father age = x + 29
= 17 + 29
= 46 years
Raju's grandfather age = (x + 29) + 26
= 46 + 26
= 72 years
HELP ME I'LL MARK BRAINLIESTS AND PLUS 65 PTS!!!
Answer:
114
Step-by-step explanation:
Apply triangle outer angle theorem.
24+90=114.
Angle 1 equal 114
The summation symbol, is the Greek capital symbol and it is used like the English S. Why do you think it was chosen to represent a Sigma Notation?
Answer:
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
Step-by-step explanation:
The summation symbol ∑ is the upper case equivalent of capital S in Greek and S represents sum in English.
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
Answer:
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
The summation symbol ∑ is the upper case equivalent of capital S in Greek and S represents sum in English.
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
Step-by-step explanation:
its correct on EDGE2021
f the measure of angle BCD is 67.4°, the measure of angle ABC is °. If the length of base AB is 80 feet, the length of DC is feet.
Answer:
[tex]\angle ABC = 112.6^o[/tex]
[tex]DE =105[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
[tex]\angle ABC[/tex] and side length DC
Calculating [tex]\angle ABC[/tex]
First, calculate [tex]\angle EBC[/tex]
[tex]\angle EBC + \angle BCE + 90 = 180[/tex] --- angles in a triang;e
[tex]\angle BCE =\angle BCD = 67.4[/tex]
So:
[tex]\angle EBC + 67.4+ 90 = 180[/tex]
[tex]\angle EBC + 157.4 = 180[/tex]
Collect like terms
[tex]\angle EBC = 180-157.4[/tex]
[tex]\angle EBC = 22.6[/tex]
So:
[tex]\angle ABC = \angle EBC +90[/tex]
[tex]\angle ABC = 22.6 +90[/tex]
[tex]\angle ABC = 112.6^o[/tex]
Calculating DC
First, calculate EC using Pythagoras theorem.
[tex]BC^2 = BE^2 + EC^2[/tex]
[tex]65^2 = 60^2 + EC^2[/tex]
[tex]4225 = 3600 + EC^2[/tex]
Collect like terms
[tex]EC^2 =4225 - 3600[/tex]
[tex]EC^2 =625[/tex]
Take square roots
[tex]EC = 25[/tex]
Length DC is:
[tex]DC = DE + EC[/tex]
Where
[tex]DE = AB =80[/tex]
So:
[tex]DE =80+25[/tex]
[tex]DE =105[/tex]
Answer:
ABC= 112.6
DC= 105
Step-by-step explanation:
got it right on edge!
Tina's family buys 4 cheeseburgers and 3 orders of fries for $7.25. Louise's family buys 6 cheeseburgers and 3 orders of fries for $9.75. What is the total cost of 1 cheeseburger and 1 order of fries?
Answer:
cheeseburgers cost= $1.25 and
Fries cost = $0.75
Step-by-step explanation:
Given data
let cheeseburgers be x
and fries be y
4x+3y= 7.25--------------1
6x+3y= 9.75--------------2
Subtract the equations
4x+3y= 7.25--------------1
6x+3y= 9.75--------------2
-2x+0= -2.5
2x=2.5
x=2.5/1.5
x= 1.25
Put x= 1.25 in 1
4x+3y= 7.25--------------1
4(1.25)+3y= 7.25--------------1
5+3y= 7.25
3y=7.25-5
3y=2.25
y= 2.25/3
y= 0.75
Hence cheeseburgers cost= $1.25 and
Fries cost = $0.75
PLEASE HELP ATTACHED BELOW
Answer:
[tex]Area~of~quarter:-[/tex]
[tex]\frac{\pi r^2}{4}[/tex][tex]=\frac{\pi *8*8}{4}[/tex]
[tex]=16\pi[/tex]
--------------------hope it helps...have a great day!!If you receive 25% off an item costing $220, how much
money do you save?
Answer:
You save $55
Step-by-step explanation:
To find out what the 75% of the 220 is, you need to do .75 times 220 and then after you get the answer, subtract that number from 220 and you have your answer.
Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.
XM = 11 and YM = 36.
What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.
It is 34.90
Step-by-step explanation:
Your welcome!
100 POINTS!!! Please tell me how to do this I dont understand...
Answer:
[tex] \displaystyle x = 15[/tex]
Step-by-step explanation:
by triangle midsegment theorem we obtain:
[tex] \displaystyle \frac{10x + 44}{2} = 8x - 23[/tex]
simplify division:
[tex] \displaystyle 5x + 22 = 8x - 23[/tex]
move 5x to right hand side and -23 to the left hand side and change its sign:
[tex] \displaystyle 22 + 23= 8x - 5x[/tex]
simplify addition:
[tex] \displaystyle 8x - 5x = 45[/tex]
collect like terms:
[tex] \displaystyle 3x = 45[/tex]
divide both sides by 3:
[tex] \displaystyle x = 15[/tex]
and we are done!
HURRRYYYY I NEED AND ANSWER ***
What percentage of the data values falls between the values of 3 and 24 in the data set shown?
0
5
10
15
20
25
25%
050%
оооо
75%
О 100%
Answer:
I think that's 25 though I have no assurance
Can someone help me with this. Will mark brainliest. Thank you.
Answers:
circlecenterradiuschorddiametersecant=======================================
Explanations:
Consider a campfire and people surrounding it to warm up. The fire itself is the center of the circle, and the people around it are points on the circle's edge. Assume that each person is the same distance away from the fire. Refer to the diagram below.We always refer to the circle name by the center point. Think of it being like at the center of the universe, or you could think how the sun is at the center of the solar system. While technically the planets orbit in ellipses and not perfect circles, this idea still could be useful to help remember the naming convention. If we go back to the example in part 1, the radius is the distance from the campfire to any given person. The radius is half the diameter. This is not to be confused with the spelling "cord" which refers to wiring used in electronics, or in fabric fibers. If we connected any two campers with a segment, then we formed a chord. Refer back to part 1 above. Any diameter is a chord, but not the other way around.The diameter is a special type of chord that goes through the center. Note the endpoints of the diameter are on the circle's edge. A secant line is basically a chord but we've extended both endpoints off infinitely in both directions. A secant cuts the circle at 2 different points. In contrast, a tangent line touches the circle at exactly one point only. WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!
Find the geometric series of a geometric sequence where a= 294 and common ratio of
seven for a6, through a10.
Question and choices are in the photo please explain the answer
Answer:
D.
Step-by-step explanation:
See attached photo.
Can someone help with this problem! Please don't scam
Answer:
KQ = 11.5 units
Step-by-step explanation:
In triangle ABC,
K is the point of intersection of medians AP and BQ.
Therefore, point K will be the centroid of the triangle.
Property of the centroid of a triangle,
" Centroid of a triangle divides the median in the ratio of 2 : 1"
Ratio of BK and KQ = 2 : 1
[tex]\frac{BK}{KQ}=\frac{2}{1}[/tex]
[tex]\frac{23}{KQ}= \frac{2}{1}[/tex]
[tex]KQ = \frac{23}{2}[/tex]
KQ = 11.5
Therefore, length of segment KQ = 11.5 units
Answer please fast
Do it now please, come on do it come on
Answer:
C 42yd
Step-by-step explanation:
HELPPP PLS!! WILL MARK BRAINLIEST!! #plato
Drag each tile to the correct box.
Arrange the entries of matrix A in increasing order of their cofactor values.
Answer:
a23, a31, a21, a11, a12, a33
Step-by-step explanation: I got it right on Edumentum.
Answer:
a23, a31, a21, a11, a12, a33
Step-by-step explanation:
Which polynomial represents the sum below? (16x^2-16) + (-12x^2-12x+12)
Step-by-step explanation:
the answer is in the above image
Tara has read 95\%95%95, percent of the books she owns. If Tara owns 160160160 books, how many of her books has she not read?
Answer:
Number of books she has not read =8
Step-by-step explanation:
Number of books Tara has=160
Number of books she has read =Percentage of what she has read x Number of book s she has =95% x 160=152
Number of books she has not read =Number of books Tara has- Number of books she has read=160-152=8
The options are 135 feet, 45 feet, 25 feet, and 110 feet
Answer:45 feet
Step-by-step explanation:I believe this answer makes the most sense
é. 45 feet
Step-by-step explanation:
byeeeeeeeeeeeeee
Find the difference between one million and two hundred fifty thousand.
Express the difference in words in International and Nepali Systems.
Answer:
Step-by-step explanation:
[tex]One \ million = 1, 000, 000\\\\Two \ hundred \ and \ fifty \ thousand = 250, 000[/tex]
Difference between one million and two hundred and fifty thousand
[tex]1,000,000[/tex] [tex]- \ 250,000[/tex] [tex]= 750000[/tex]
International Number System,750,000: Seven Hundred and Fifty Thousand
Nepalis Number System,7, 50,000 : Seven Lakh Fifty Thousand
A house was valued at $540,000 last year. The house has now appreciated and increased in
value by 4%. What is the house worth now?
Answer:
The house worth now: $540,000*(1+4%)= $561,600
Step-by-step explanation:
It typically takes Mr. Dunn 20 minutes to get to school, but it took him 40% longer today. How long did it take Mr. Dunn to get to school today?
EXPLAIN THE ANSWER
Answer:
28 minutes
Step-by-step explanation:
40 percent is 0.4 and 100 percent is 1. Since you have the full 100% of 20 plus the increase of 40% you have to multiply by 20 by 1.4
1.4*20 = 28
what is the exponential form for 7^√x^3
(√7)3=732
Explanation:
To write
(√7)3
in exponential form, one needs two identities - n√a=a1n
and (am)n=a(m×n)
which is true for all rational
m and n.
Hence,
(√7)3= (712)3
= 7(12×3)
= 732
The width of Field A is 7/12 of its length of 108 m. What is the perimeter of Field B if it has 5/6 of the perimeter of Field A?
Answer: (100th answer)
perimeter of field b = 260 m
Step-by-step explanation:
First we have to find what is 7/12 of 108?
Well first we need to know what 1/12 of 108 is. Which means we do 108/12. That equals 9. so if 1/12 of 108 = 9
then 7/12 of 108 is 9*7 which is 63.
The width of field A is 63 plus its length, width again and its length again would be its perimeter or
2l + 2w is its perimeter, where l is length and w is width
108*2+63*2= perimeter
216+126 = ?
342 is the perimeter of field A.
We aren't done though.
We have to find 5/6 of 342.
1/6 of 342 is 342/6
342/6 = 52
1/6 of 342 = 52 meaning 5/6 of 342 is equal to 5*52.
5*52 = 260
the perimeter of field b is 260
a date has its distribution shown in the box plot below. which of the following is the median of the data set
(1)28
(2)30
(3)32
(4)34
Answer:
jhjgjhgh bk 87 n k
Step-by-step explanation:
3(x+4)>12
can yall help me fr
Answer:
x>0
Step-by-step explanation:
Answer:
x > 0
Step-by-step explanation:
3(x + 4) > 12
Divide both sides by 3
x + 4 > 4
Subtract 4 from both sides
x > 0
Sebastian bought x gallons of gas at a price of $2.91 per gallon at his local gas station. When he paid for the gas, Sebastian also paid $11.40 for granola
bars and a box of tissues.
If Sebastian filled 10 gallons of gas, how much did he spend in all at the gas station?
Answer:
Sebastian spent $40.40 at the gas station.
Step-by-step explanation:
First let's find how much the gas cost.
So it's $2.91 a gallon, and Sebastian fills 10 gallons of gas, so we multiply.
10 * 2.91 = $29.10
Then we add on the $11.40 from the granola bars and the box of tissues.
$29.10 + $11.40 = $40.50
So the final price should be $40.40. Sebastian spent $40.40 at the gas station.