Therefore, option A will result in the least amount owed after 5 years.
What is percent?Percent is a way of expressing a number as a fraction of 100. The symbol used for percent is "%". For example, 50% is equivalent to 50/100 or 0.5. Percentages are commonly used to express rates, ratios, and changes in quantity over time.
Here,
To determine which option will result in the least amount owed after 5 years, we need to calculate the total amount owed for each option at the end of the 5-year period. We can use the formula A=P(1+r/n)^(nt) to calculate the total amount owed, where A is the final amount owed, P is the principal (in this case $5,000), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time period in years.
Option A: 2 1/4% compounded quarterly (every 3 months)
The annual interest rate is 2.25%. Since interest is compounded quarterly, n=4. The time period is 5 years, so t=5. Plugging these values into the formula, we get:
A = [tex]5000(1+0.0225/4)^{(4*5)}[/tex]
= $5,827.05
Option B: 3% compounded every 4 months
The annual interest rate is also 3%, but interest is compounded every 4 months. To calculate the effective interest rate per year, we need to convert the compounding period to years. Since there are 3 compounding periods per year (4 months each), the effective annual interest rate is:
(1+0.03/3)³ - 1 = 0.0304 or 3.04%
Using the formula with these values, we get:
A = 5000(1+0.0304)⁵
= $6,079.28
Option C: 4 1/2% compounded semi-annually
The annual interest rate is 4.5%. Since interest is compounded semi-annually (twice per year), n=2. Plugging in the values, we get:
A = [tex]5000(1+0.045/2)x^{(2*5) }[/tex]
= $6,200.92
To know more about percent,
https://brainly.com/question/29172752
#SPJ1
How much time required to complete a10days work if it could complete by 3 worker in 4days and 6worker in 3.05 days,if 5 workers is involved in it? please reply
Answer:
This seems to be a linear relationship:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
We know that 3 workers can complete the job in 4 days.
Then if we define W as the rate at which a single worker can complete the work, we have the ordered pair (3 workes, 4 days)
And we also know that 6 workers can finish the job in 3.05 days, then we also have the ordered pair (6 workers, 3.05 days)
Then using these two, we can find the slope of the line:
a = (3.05 days - 4 days)/(6 workers - 3 workers) = -0.35 days/worker.
Then we have the equation:
y = (-0.35 days/worker)*x + b
Where:
y represents the time to complete the job
x represents the number of workers.
b is the y-intercept, to find the value, we could just replace one of the points in the equation, for example with the point (3 workes, 4 days) we need to replace x by 3 workers, and y by 4 days:
4 days = (-0.35 days/worker)*3 workers + b
4 days = -1.4 days + b
4 days + 1.4 days = 5.4 days = b
then the equation is:
y = (-0.35 days/workers)*x + 5.4 days.
Now we can find the number of days needed for 5 workers to finish the job, we just need to replace x by 5 workers:
y = (-0.35 days/workers)*5 workers + 5.4 days
y = 3.65 days.
Mark regularly works 20 hours per week at a local restaurant from Monday through
Friday. He earns $14.25 per hour and receives double-time pay for working Saturdays.
Last week he worked his regular 20 hours, and an additional 4 hours on Saturday.
What will his total pay be for the week?
Can someone help me on this please
Answer:
sin ∅ = 16 /34
cos ∅ = 30 /34
tan ∅ = 16 /30
Step-by-step explanation:
SOH CAH TOA
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
the hypotenuse is always across from the right angle and has the longest side
Can somebody help me?
Answer:
6/7
Step-by-step explanation:
because there are 28 properties in all
4 of them are railroads
but we're not looking for the probability of selecting a railroad, which would be 4/28 or 1/7, but for not selecting a railroad
and 24 of them are not railroads
So the probability of not selecting a railroad is 24/28, which simplified/reduced is 6/7
Can someone please answer this ty
What equation should we use to find the distance?
Answer:
distance= speed *time
Step-by-step explanation:
use the above formula ☝️
Part of the population of 6,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 4 of them are infected. How many elk are likely to be infected?
Answer:
The answer is 540.
Hope this helps! :)
1. If four pens cost $1.36, how much does one pen cost? Write a proportion and
solve
Plzzzz help me
Answer:
0.34-34cents
Step-by-step explanation:
Just do 1.36 divided by 4.
PLEASE HELP ASAP WILL GIVE BRAINLEIST!!!
Find the area of the shaded region.
A. 357.72
B. 53.86
C. 715.44
D. 253.86
Answer:
B it is B
Step-by-step explanation:
A rectangular prism has a volume of 30 cubic inches.It's length is 1/3and it's width is 3 feet. What is the height?
V = WHL
30 = [tex]\frac{1}{3}[/tex]*3*L
30 = 1*L
30 = L
hey whats 7 1/9= 2 4/5 + m?I need this answer in 20 min if thats cool pls help I need this grade
Any of these 3 qnswers would work 229/45 5 4/45 5.08
Step-by-step explanation:
71/9=14/5+m
14/5-71/9
=-229/45
All of the following expressions are equivalent except _____.
(5 - 5) x
-5( x - 1)
-5 x + 5
5 - 5 x
Answer:
second expression
Step-by-step explanation: ..
Answer:
Step-by-step explanation:
A 5-5=x if yoyou put 4 for x all equal 15 except a
What two numbers multiply to -32 and add up to 4
Answer:
-4 and 8
Step-by-step explanation:
-4 x 8 = -32
-4 + 8 = 4
The two numbers that multiply to -32 and add up to 4 are -8 and 4.
To find two numbers that multiply to -32 and add up to 4, we can use a factoring approach or trial and error.
Let's consider two numbers, x and y, such that:
xy = -32 (Equation 1)
x + y = 4 (Equation 2)
We need to find values of x and y that satisfy both Equation 1 and Equation 2 simultaneously.
By trying different pairs of numbers, we can find that -8 and 4 satisfy both equations:
-8 * 4 = -32 (Equation 1)
-8 + 4 = 4 (Equation 2)
Therefore, the two numbers that multiply to -32 and add up to 4 are -8 and 4.
To know more about multiply:
https://brainly.com/question/30875464
#SPJ6
The CPI is currently 153. If a coffee maker costs $31.90 today, how much did one cost in 1983, to the nearest cent?
a. $20.85
b. $21.20
C. $26.60
d. $48.81
Please select the best answer from the choices provided
B
Ο Ο Ο Ο
С
D
Mark this and return
Save and Exit
Next
Submit
Answer:
a.
$20.85
Step-by-step explanation:
The amount of one cost in 1983, to the nearest cent is to be considered as the option a. $20.85.
Calculation of the amount of one cost:Since
The CPI is currently 153.
And, there a coffee maker costs $31.90 today.
So the one cost should be like
[tex]= 31.90 \div 153[/tex]
= 20.85%
Hence, The amount of one cost in 1983, to the nearest cent is to be considered as the option a. $20.85.
Learn more about cost here: https://brainly.com/question/24590525
What specific measure of a geometric figure is shown in the image?
A. A 100° angle
B. A 100 mm side length
C. An 80° angle
D. A 180 mm side length
Answer:
I think its C???
Answer:
c hope its hleps
Step-by-step explanation:
I just took the test
The ratio of employees who
play musical instruments to
employees who play sports is
3:20. If there are 40
employees who play sports,
how many employees play
musical instruments?
Answer:
Employees who play musical instruments = 6
Step-by-step explanation:
Given that:
Ratio of employees who play musical instruments to employees who play sports is 3 : 20
Number of employees who play sports = 40
Let,
x be the number of employees who play musical instruments.
Ratio = x : 40
As the relationship is proportional,
3 : 20 :: x : 40
Product of mean = Product of extreme
20x = 120
Dividing both sides by 20
[tex]\frac{20x}{20}=\frac{120}{20}\\x=6[/tex]
Hence,
Employees who play musical instruments = 6
HELPP!!! DON'T ANSWER IF YOU ARE NOT SURE PLEASE !!
Select the reason why these triangles are similar. If they are not, select "Not similar",
helppppppppppppppppppppp
Answer:
$7.20
Step-by-step explanation:
60% of 4.5 = 2.7
4.5+2.7 = $7.2
Answer:
7.2
Step-by-step explanation:
So u do 60% of 4.5 and add ur answer to 4.5
what equation does the graph below represent
answer choices:
y =2x
y=1/2x
y=1/2
y=2+x
Answer:
y=2x
Step-by-step explanation:
Factor the equation
Answer:
y = (x + 4)²
Step-by-step explanation:
Given equation is,
y = x²+ 8x + 16
By using identity (a + b)² = a² + 2ab + b²
y = x² + 2(4)(x) + 4²
Here a = x and b = 4
y = (x + 4)²
Therefore, factored form of the given equation is y = (x + 4)²
Solve for x. 0.5x + 0.7 = −0.75
Answer:
x= -2.9
Step-by-step explanation:
Please answer quickly !
Answer:
Probably B
Step-by-step explanation:
Determine each percentage by writing a proportion. Round to the nearest tenth if necessary.
What % of 6 is 5?
Answer:
Rounded: 83%
Step-by-step explanation:
5 ÷ 6 = 0.83 (3 repeating)
= 83%
Please mark me Brainliest :)
Answer:
83.3
Step-by-step explanation:
Set up your proportion. 5x100=500. 500/6= 83.3.
A car driving at a constant speed for 30mins. It this proportional
21. Mr. Li has 1,034 goats. He has 242 more sheep than goats. How many sheep does Mr. Li have?
Answer:
1276
Step-by-step explanation:
Work out the value of (3²)^2 x (10^3)^2
how long is the segment from (-5 2) to (-5 -8)
Answer:
Step-by-step explanation:
Let R be the radius of the circle, θ the central angle in radians, α is the central angle in degrees, c the chord length, s the arc length, h the sagitta (height) of the segment, and d the height (or apothem) of the triangular portion.
hope that help
mark me brill
Petra jogs 2 miles in 24 minutes. At this rate, how long would it take her to jog 10 miles?
Answer:
120 Minutes
Step-by-step explanation:
24 minutes / 2 miles = 12 minutes / 1 mile
12 minutes / 1 miles = x minutes / 10 miles
Cross multiply
12*10/1 = x
120 / 1 = x
x = 120
Hope that helps!
What is the value of x?
NOTES: The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown."
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
ANSWER: 20
The mass of a car tire is 17.25 kilograms. What is the mass of a car tire in grams?
Answer:
17,250
Step-by-step explanation:
since there are 1000 grams for each kilogram
