which equation represents a proportional relationship?
Answer:
y = 1 - 1/3x
Step-by-step explanation:
A problem is listed below. Identify its type.
Julie's parents' 25th anniversary is in 2 years. She'd like to give her parents a vacation package for their anniversary. She anticipates the vacation package will cost her $2000. An account at her bank pays 5% per year compounded monthly. How much does she need to deposit today in this account, so that she can buy the package deal for her parents' anniversary?
a) Simple Interest
b) Future Value with compound interest
c) Future Value with simple interest
d) Effective Rate
e) Present Value with compound interest
Answer:
e) Present Value with compound interest
Step-by-step explanation:
in order to determine how much money does Julie need to deposit we have to use the present value formula with compound interest:
present value = future value / (1 + i/12)ⁿ
future value = $2,000i/12 = 5%/12 = 0.4167%n = 24$2,000 = present value x (1 + 0.4167%)²⁴
present value = $2,000 / (1 + 0.4167%)ⁿ = $1,810.05
you can also calculate it using the future value formula, but you will end with the present value formula:
future value = present value x (1 + i/12)ⁿ
present value = future value / (1 + i/12)ⁿ ⇒ you are adding 1 more step
you could also calculate it using the present value formula and the effective annual rate:
effective rate = (1 + 0.05/12)¹² - 1 = 5.1162%
present value = $2,000 / (1 + 5.1162)² = $1,810.05 ⇒ but again you are just adding more steps into the process
12x64, 7th grade math
Answer:
768
Step-by-step explanation:
Answer:768
Step-by-step explanation:
The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00044. If an insurance company sells a one-year, $30,000 life insurance policy to such a person for $435, what is the company's expectation? (Round your answer to the nearest dollar.)
Answer:
The value is [tex]E(X) = \$ 421.6[/tex]
Step-by-step explanation:
From the question we are told that
The probability that a 22 year old female in US will die within one year is p= 0.00044
The outcome if she dies within one year is that the company losses $30,000
Generally the probability that a 22 year old female in US will live more than one year is
[tex]q = 1 -p[/tex]
=> [tex]q = 1 -0.00044[/tex]
=> [tex]q = 0.99956[/tex]
The outcome if she lives more than one year is that the company gains $435
Generally the the company's expectation is mathematically represented as
[tex]E(X) = -30000 * p + 435 * q[/tex]
The negative sign shows that the company is loosing the fund
So
[tex]E(X) = -30000 * 0.00044 + 435 * 0.99956[/tex]
=> [tex]E(X) = \$ 421.6[/tex]
ILL GIVE YOU A BRAILLEST???
Answer:
K= 4
Step-by-step explanation:
Cross multiply
Answer:
k = 4
Step-by-step explanation:
To solve ANY proportion, you can cross multiply. For example, in this case, you can multiply 7 x 32 and k x 56. Remember, a proportion is always equal, so 7 x 32 = k x 56. That means 224 = 56k. Which means k = 4. Hope that helped!
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppppppppp
Answer:
A
Step-by-step explanation:
Y
If you study an extra 10 hours a week for a year (52 weeks) and you earn a four-year scholarship valued at $50,000, what is your hourly return on your investment in study time? (Round to two decimal places)
Answer: $96.15
Step-by-step explanation:
If you study an extra 10 hours per week, for 52 weeks, in total you studied 52 times 10 hours, this is:
52*10 h = 520h hours.
Now, for these 520 hours of hard work, you earn a scholarship valued (in total) at $50,000.
Then how much is worth each one of these 520 hours?
Let's take divide the value of the scholarship evenly into the 520 hours:
$50,000/520h = $96.15.
This means that the hourly return is $96.15
What is the slope of the line that passes through the points (48, 10) and (-36, 17)?
Answer:
Step-by-step explanation:
y2-y1/x2-x1
17-10
-36-48
-7/84, but this can be simplified, you can take a 7 out of each.
-1/12 is your simplified slope
Answer:
m = 7 / -84 = 1 / -12 = -0.08333
Step-by-step explanation:
y = -0.08333x + 14.
- I hope this helps have a great day!
50 POINTS PLS HELP!!!!
Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment F'H' to segment FH?
A: A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.
B: A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image.
C: A segment in the image has the same length as its corresponding segment in the pre-image.
D: A segment that does not pass through the center of dilation in the pre-image is perpendicular to its corresponding segment in the image.
Answer:
Answer choice C.
Step-by-step explanation:
How many boxes with a Length/Width/Height of 1/4, 1/4, and another 1/4 would fit into a box with a Length/Width/Height of 3 1/4, 3, and 3 3/4?
9514 1404 393
Answer:
2340 small boxes
Step-by-step explanation:
Each unit of measure used for the large box will contain 4 of the smaller boxes. So, in terms of small boxes, the dimensions of the larger box are ...
(3 1/4)/(1/4) = (13/4)/(1/4) = 13 . . . length
3/(1/4) = (12/4)/(1/4) = 12 . . . . . . . width
(3 3/4)/(1/4) = (15/4)/(1/4) = 15 . . . height
Then the number of small boxes that would fit is ...
length × width × height = 13×12×15 = 2340
2340 cubes of size 1/4 will fit into the larger box.
Nine hundred light bulbs are packaged and shipped to a retail store. Thirteen percent of the light bulbs arrive broken. Which equation can be used to find the number of light bulbs that were broken? StartFraction 13 times 9 Over 100 times 9 EndFraction = StartFraction 117 Over 900 EndFraction StartFraction 13 times 9 Over 900 times 9 EndFraction = StartFraction 117 Over 8100 EndFraction StartFraction 100 divided by 9 Over 900 divided by 9 EndFraction = StartFraction 11.1 Over 100 EndFraction StartFraction 900 divided by 9 Over 13 divided by 9 EndFraction = StartFraction 100 Over 1.4 EndFraction
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
If the volume of an object varies directly with its height, and if
the volume is 24, while the height is 3, what is k?
Answer:
24 direct proportional with height to remove proportional needs to given constant
24 = k 3
24 ÷ 3= K
k = 8
Step-by-step explanation:
value of k is 8
what is the reciprocal of 5 !!!help !!
Answer:
1/5
Step-by-step explanation:
In the diagram, lines m and n are parallel. What is the measure of w?
Answer:
35 degrees
Pleaase seek help u need to be smarter than this giv me brainilest
Part A
In the table, describe the shape of the cross section formed when a particular plane passes through the cone.
Answer:
Step-by-step explanation:
There are several possible outcomes. If your cross section is created by intersecting the cone with a plane parallel to the base of the cone, the cross section is a circle. If the plane is held vertical, the cross section could be a hyperbola. If the intersecting plane is neither vertical nor horizontal, the cross section could be an ellipse.
The graph shows the proportional relationship between the number of sodas you buy and the cost of the sodas. Identify the constant of proportionality and write an equation for the proportional relationship.
A: k=3; y=3x
B: k=2; y=2x
C: k=4; y=4x
D: k=7; y=7x
Answer:
its B.
Step-by-step explanation:
all you have to do is y divided by x to find the constant of proportionality
so it would be two y=2x
What should I name my cat? She is grey and has blue eyes
Answer:
hmm i think "frost" would be good in my honest opinon
Step-by-step explanation:
Answer:
April if she is a female. Oliver if he is a male.
Step-by-step explanation:
need help asap!!!!!!
Answer: x=4
Step-by-step explanation: first you should write it out like it is telling you. put a line and EG is the line and f is in the middle of the two looks kinda like this E F G but they are on a line EG= 25 that means the whole thing equals 25. EF= 2x-6 and FG= 4x+7. when you plug that in it should look like this 25=2x-6+4x+7 then solve.
In Terrance County, 85% of eligible voters are registered to vote, and
government records from a recent gubernatorial election indicate that 60%
of registered voters actually voted in the election. If there are 21,800
eligible voters in Terrance County, how many people voted in the recent
qubernatorial election?
Answer:
11118 people voted
Step-by-step explanation:
Given
[tex]Eligible\ Voters = 21800[/tex]
[tex]Registered\ Voters = 85\%[/tex]
[tex]Voted\ Voters = 60\%[/tex]
Required
Determine the number of voters
First, we need to determine the number of registered voters.
[tex]Number = \%Registered\ Voters * Eligible\ Voters[/tex]
[tex]Number = 85\% * 21800[/tex]
[tex]Number = 18530[/tex]
Next, we determine the actual voters using
[tex]Voters = \%Voters * 18530[/tex]
[tex]Voters = 60\% * 18530[/tex]
[tex]Voters = 11118[/tex]
Hence, 11118 people voted
Multiply two and four-fifths negative five and two-thirds
Helpppppppppppppppppppp
Answer:
30 30 120
Step-by-step explanation:
Commemorative coins come in packs of 15, while coin holders come in packs of 25. What are the least numbers of packs you should buy in order to have the same numbers of coins and coin holders?
Answer:
5 Commemorative coin packs
3 coin holders
Step-by-step explanation:
is either is either x equals 20 or x equals 12 the solution to X -8 = 4
Answer:
12
Step-by-step explanation:
Answer:
X=12
Step-by-step explanation:
You add 4 and 8 together and get 12
Have a great day
A plumber charges $50 to make a house call. He also charges $25 per hour for labor. If the bill from the plumber is $162.50.
How many hours did the plumber work at your house?
a duck swam 10.5 kilometers in 3 hours. how many kilometers per hour did the duck swim
Answer:
3.5 km
Step-by-step explanation:
its 10.5 divided by 3 to get this answer
plz give me brainliest i need it plz
Determine if biconditional is true.
A) Felipe is a swimmer if and only if he is an athlete.
what is the dit between -4 and 6
7 Given: -8(w + 1) = -5(w + 10); Prove: w = 14
Statements
Answer:
w=14
Step-by-step explanation:
-8(w + 1) = -5(w + 10)
Remove the parentheses
-8w-8+-5w-50
Move terms
-8w+5w=-50+8
Collect like terms and calculate
-3w=-42
Then divide on both sides
Which fraction/decimal is greater
Answer:
-5.25>-5 3/10
Step-by-step explanation:
let's convert -5 3/10 into a decimal
which is
-5.3 or -5.30
-5.25 and -5.30
because it's negative, the lowest number is the greatest number so
-5.25 is greater than -5.30
PLS HELP ME
It takes Li 1 hour to drive 65 miles, 2 hours to drive 130 miles, and 3 hours to drive 195 miles. How many miles can he drive in 5 hours?