Answer:
D. $5,000 at 4 percent interest compounded for four years
Hope this helps :)
The loan that will cost its holder the most in interest is option D. $5,000 at 4 percent interest compounded for four years.
To calculate the interest for each option, with the use of the relevant interest formulas.
For option A, compounded interest, by the use of the formula:
[tex]CI =A -P\\CI=A = P(1 + r/n)^{nt} - P[/tex],
where:
A is the final amount,CI is the compound interest P is the principal, r is the interest rate, n is the number of times interest is compounded per year t is the number of years.Plugging in the values, gives:
[tex]C.I= 10,000(1 + 0.02/1)^{(1\times4)} - 10,000[/tex]
By adding the value in the bracket gives:
[tex]C.I= 10,000(1 .02)^{4} - 10,000[/tex]
To evaluate [tex](1.02)^4[/tex], raise 1.02 to the power of 4 gives:
[tex](1.02)^4 \approx 1.082432[/tex]
Substituting this value back into the expression:
[tex]CI\approx10,000 \times 1.082432- 10,000[/tex]
On multiplication gives:
[tex]CI\approx10824.32- 10,000[/tex]
On subtraction gives:
[tex]CI\approx 824.32[/tex]
2. For option B, simple interest, by the use of the formula
[tex]SI = Prt[/tex]
where:
SI is the simple interest, P is the principal,r is the interest rate t is the number of years.Plugging in the values, we get:
[tex]SI = 10,000\times( 0.02\times4)[/tex]
By multiplying the value in the bracket gives:
[tex]SI = 10,000\times 0.08[/tex]
On multiplication gives:
[tex]SI = 800[/tex]
For option C, simple interest formula
[tex]SI = Prt[/tex]
where:
SI is the simple interest, P is the principal,r is the interest rate t is the number of years.Plugging in the values, we get:
[tex]SI = 5,000\times( 0.04\times4)[/tex]
By multiplying the value in the bracket gives:
[tex]SI = 5,000\times 0.16[/tex]
On multiplication gives:
[tex]SI = 800[/tex]
For option D, compounded interest, we get:
A = 5,000(1 + 0.04/1)^(1*4) - 5,000 ≈ $6,181.73
For option D, compounded interest, by the use of the formula:
[tex]CI =A -P\\CI=A = P(1 + r/n)^{nt} - P[/tex],
where:
A is the final amount,CI is the compound interest P is the principal, r is the interest rate, n is the number of times interest is compounded per year t is the number of years.Plugging in the values, gives:
[tex]C.I= 5,000(1 + 0.04/1)^{(1\times4)} - 5,000[/tex]
By adding the value in the bracket gives:
[tex]C.I= 5,000(1 .04)^{4} - 5,000[/tex]
To evaluate [tex](1.04)^4[/tex], raise 1.04 to the power of 4 gives:
[tex](1.04)^4 \approx 1.1699[/tex]
Substituting this value back into the expression:
[tex]CI\approx5,000 \times 1.1699- 5,000[/tex]
On multiplication gives:
[tex]CI\approx5,849.2928- 5,000[/tex]
On subtraction gives:
[tex]CI\approx849.2928[/tex]
Comparing the final loan interest, option D has the highest value, indicating that it will cost its holder the most in interest.
Learn more about interest calculations here:
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If your father goes to the store to get milk and doesn’t return what is the probability your mother abandons you?
Answer:
69%
Step-by-step explanation:
Using the formula exactly for this situation:
((((6^2 * 10) + sqrt((5000*3) - 600)) / 4! ) * 3.5 ) - log(1 * 10^11) =
69
Solve the system of equations using the substituton method or the elimination method. You must use one of these methods in your written work. 4x + y = 23 y=x+8
Answer:
x = 3 and y = 11 is the answer.
in graph, this is an intersecting lines which means it has one solution.
Step-by-step explanation:
4x + y = 23
y = x + 8
arranged:
4x + y = 23
-x + y = 8
4x + y = 23
4 (-x + y = 8)
4x + y = 23
-4x + 4y = 32
———————
0 + 5y = 55
5y/5 = 55/5
y = 11
substitute:
y = 11
y = x + 8
11 = x + 8
11 - 8 = x
3 = x
give the location of Phoenix an orders pair (X,Y)
Answer:
[tex]\huge\boxed{\sf{(-7, -9)}}[/tex]
Step-by-step explanation:
Hello.
First, find the x-coordinates of Phoenix.
Find the x-axis and count down.
The x-coordinate is -7.
Now, what about the y-coordinate?
The y-coordinate is -9.
Thus, the ordered pair is (-7, -9)
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
There are 22 male lambs and 28 female lambs in a yard.
Ten males and 14 females have been shorn.
One of the lambs escapes from the yard.
What is the probability that it is a shorn male?
Answer:
shorn male = 20%
Step-by-step explanation:
The probability that the escaped lamb is a shorn male is 1/5 or 0.2, which is 20%.
To find the probability that the escaped lamb is a shorn male, we need to calculate the ratio of shorn male lambs to the total number of lambs.
Number of shorn male lambs = 10
Total number of lambs = 22 (male) + 28 (female) = 50
Probability = (Number of shorn male lambs) / (Total number of lambs)
Probability = 10 / 50
Probability = 1 / 5
So, the probability that the escaped lamb is a shorn male is 1/5 or 0.2, which is 20%.
To know more about probability:
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An item is regularly priced at 25. It is on sale for 80% off the regular price. What is the sale price?
answer:
sale price: $5
explanation:
total price is always 100%
sale price is 80% off,
sale price: 100% - 80% = 20%
solve:
→ 20% * $25
→ $5
Answer:
$5
Step-by-step explanation:
[tex]25\times(1-80)\\25\times(1-0.8)[/tex]
Calculate the sum or difference
[tex]25\times0.2[/tex]
Calculate the product or quotient
[tex]5[/tex]
I hope this helps you
:)
9:47, 10:21, 10:57, ?, 12:15
Answer:
11:36 I believe
Step-by-step explanation:
The second one went up by 34, followed by 36 so the third one should go up by 38
The missing number of the given sequence will be 11:35. Then the correct option is D.
The complete question is as follows:-
9:47, 10:21, 10:57, ?, 12:15
Answer choices given below
a) 11:33
b) 12:01
c) 11:31
d) 11:35
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The sequence will be given as
9:47, 10:21, 10:57, ?, 12:15
The difference between the 2 numbers is increased by the 2.
Then the difference between 10:57 and 10:21 will be 36.
Then the difference between the next number and 10:57 will be 38. Then the next number will be
→ 10: 57 + 00:38
→ 11: 35
Thus, the next number will be 11:35.
More about the sequence link is given below.
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The cost of 20 cans of dog food is 18.40 how much is a 11 cans
Answer:
10.12
Step-by-step explanation:
Because each can cost 0.92 so what's 0.92 x 11=10.12
Hope it helps have a great afternoon:)
Combine the like terms to create an equivalent expression. (6e−3f−4)⋅2
Answer:
here is your answer
if you will not like then you are ehsanfaramosh
Find the value of xx, yy, and zz in the parallelogram below.
Answer: x = 36, y = 10, and z = -25
Step-by-step explanation:
99 and -3z +6 are same side interior angles, so they sum to 180 degrees.
99 -3z + 6 = 180
-3z = 75
z = -25
Opposite angles of a parallelogram are congruent
2x + 9 = -3x + 6
2x + 9 = 75 + 6
2x = 81 - 9
2x = 72
x = 36
9y + 9 = 99
9y = 90
y = 10
According to definition of parallelogram
opposite sides and angles are equalConsecutive sides have sum 180°[tex]\\ \rm\hookrightarrow 2x+9+99=180[/tex]
[tex]\\ \rm\hookrightarrow 2x+108=180[/tex]
[tex]\\ \rm\hookrightarrow 2x=72[/tex]
[tex]\\ \rm\hookrightarrow x=36[/tex]
2x+9=72+9=81And
-3z+6=81-3z=75z=-25And
9y+9=999y=90y=10is 21q-7p equivalent to (3q-p)(7)
Answer:
The means and mean absolute deviations of the individual times of members on two 4x400-meter relay track teams are shown in the table below. means and mean absolute deviations of individual times of members of 4x400-meter relay track teams team a team b mean 59.32 s 59.1 s mean absolute deviation 1.5 s 245 what percent of team b's mean absolute deviation is the difference in the means? 9% 15% 25% 65%
find the lateral area of the square pyramid.
please help ill mark as brainlest!
x decreased by 50 % and then increased by 50%
which number is heater and by how much
Answer:
baddie uwu
Step-by-step explanation:
harder daddy harder
2>-4 add -2 to both sides
Answer:
Step-by-step explanation:
2>-4 add -2 : 2+-2>-4+-2
0>-6
Answer:
0 > -6
Step-by-step explanation:
2 + (-2) = 0
-4 + (-2) = -6
Question 3 of 10
The probability of rolling a 6 on a number cube is . If you were to roll the
cube 60 times, you would expect to get a 6 around 10 times (6 - 60 = 10).
.
You simulate 60 rolls. How many 6s would make you question your model?
O A. 10
O B. 14
O C. 20
O D. 6
Answer:
B. 20
Step-by-step explanation:
Because it is twice as much as expected.
Answer:20
Step-by-step explanation:
Aiden goes out to lunch. The bill, before tax and tip, was $13.15. A sales tax of 5% was
added on. Aiden tipped 18% on the amount after the sales tax was added. How much
was the sales tax? Round to the nearest cent.
Answer:
$1.98.
Step-by-step explanation:
Given the following question:
5% of $13.15
To find the answer we simply use the formula to calculate percentage.
[tex]\frac{t\times i}{100}[/tex]
[tex]\frac{15\times13.15}{100} =15\times13.15=197.25\div100=1.9725[/tex]
[tex]1.9725[/tex]
Round to the nearest cent:
[tex]1.9725[/tex]
[tex]2<5[/tex]
[tex]1.98[/tex]
The sales tax was "$1.98."
Hope this helps.
Please help
40 points
Step-by-step explanation:
Apply the formula
V=ah
and try to solve if you can't comment down
I will do and send you
You have to be at your job by 9 a.m. every morning. If it takes you 15 minutes to
walk to the bus stop , 30 minutes to get to your job, and 5 minutes to walk in and
check in, What time would you leave home?
Answer:
8:10am
Step-by-step explanation:
You have to leave home because it takes you 15 minutes to walk to the bus stop so that will be 8:25am
takes you half an hour to get to job 8:55am
then 5 minutes to check in and you will be on time
Answer 8:10am
On a coordinate plane, point A is 2 units to the left and 5 units up. Point B is 5 units to the right and 5 units up.
What is the distance between the points?
Point A is located at the point
.
Point B is located at the point
.
The distance between the points is
units.
Answer:
I don't know i have no answer too
Step-by-step explanation:
Sorry again i need answer too
Answer:
b d d
Step-by-step explanation: i did it on edge
Which expression can be used to solve the problem below? What is 1/4 of the product of 12 and 3?
A. 4 x (12 x 3)
B. 1/4 + (12 + 3)
C. 1/4 x (12 x3)
D. (4 x 12) ÷ 3
Hey there!
GUIDE:
• Difference means subtract/subtraction
• Product means multiply/multiplication
• Sum means add/addition
• Quotient means divide/division
• Of means multiply
• Per means divide
QUESTION SUMMARIZES TO:
“1/4 of the product of 12 and 3”
FINDING the ANSWER:
‘Of the product’ sounds about like you’re multiplying a number 1/4 of a number or two that’s inside of parentheses noting that you’re multiply.
So, the overall answer should be:
1/4 × (12 × 3)
⇱ ⇱
Answer to your question
IF YOU WERE TO SIMPLIFY IT:
1/4 × (12 × 3)
= 1/4 × 36
= 9
The answer would most likely be: 9
ANYWAYS NOW THAT WE HAVE THAT INFORMATION OUT OF THE WAY WE CAN LABLE YOUR ANSWER
Answer: Option C. 1/4 × (12 × 3)
Good luck on your assignment & enjoy your day!!
~Amphitrite1040:)
What is the numerical value of 2ab + 5 if a = 2 and b = 3?
17
32
18
521
Answer:
17 is the right answer
It is believed that 90 percent of the population of all students consider statistics to be an exciting subject. Suppose we randomly and independently selected 20 students from the population. Find the probability that at least 15 of these students consider statistics to be an exciting subjec
Answer:
18 students
Step-by-step explanation:
90 percent of 20 is 18. 75 percent of 20 is 15.So More than 15 students .
2. Mary's pet gerbil is 1/3 of a foot long. How many inches long is the gerbil?
A. 6 inches
B. 3 inches
C. 5 inches
D. 4 inches
What is the answer!!!!!
Answer:
4 is the answer
Step-by-step explanation:
I hope this helps
got a mind blank just wondering if im right :)
13 + (-2)
= 13 - 2
Answer:
yeah then the ans is 11
Step-by-step explanation:
.........
For a left tailed test the critical value of z so that a hypothesis test would reject the null hypothessis at 10 percent significance level would be?
Answer
The critical value of z is -1.28
Z = -1.28
Your cookie recipe calls for 2/3 of a cup of butter for a batch of cookies. You decide that you only want to make 1/4 of a batch of cookies. How much butter will you need? Please include explanation
We need 1/6 cup of butter to be used to make 1/4 batch of cookies.
What are word problems?Word problems in mathematics are real-life cases that involve a critical understanding of the problem and the use of arithmetic operations(e.g addition, subtraction, division, and multiplication) when solving them.
From the parameters given:
The recipe requires 2/3 of a cup of butter for 1 batch cookies;Required to make 1/4 of a batch of cookies.The required cup of butter to be used can be estimated as follows:
Let x be the unknown cup of butter, by cross multiplying;
[tex]\mathbf{x = \dfrac{\dfrac{2}{3}\times \dfrac{1}{4}}{1} }[/tex]
x = 1/6 cup of butter.
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PLEASE I NEED HELP QUICKLY!!! Find the solution for the given system of equations in the form (x,y). -x+y=8 7x+3y=-6
Answer:
The answer D is correct.
Step-by-step explanation:
-x + y = 8 ⇒ ( 1 )
7x + 3y = - 16 ⇒ ( 2 )
y = 8 + x ⇒ ( 3 )
Let us take equation 2 and let us replace y with (8+x).
Let us solve and find the value of x.
7x + 3y = -16
7x + 3 ( 8 + x ) = - 16
7x + 24 + 3x = -16
10x + 24 = -16
10x = -16 - 24
10x = -40
x = (-4)And now let us find the value of y.
For that, let us use equation (3)
Here, we have to replace x with -4 to find the value of y.
y = 8 + x
y = 8 - 4
y = 4Now we have to the answers in the form ( x , y )
Let us write.
( x , y ) ⇒ ( -4 , 4 )
Let me know if you have any other questions. :-)
Write 3 3/4 as an improper fraction?
Answer:
15/4
Step-by-step explanation:
multiply the whole number (3) by the denominator (4), then add the numerator (3) then put that over the denominator to convert any mixed number into an improper fraction.
Answer:
Step-by-step explanation:
Do the denominator times the whole number. Then add the numerator as well. Next that answer is your numerator and then you add the denominator of the fraction to the improper fraction
This is a geometry question that i don’t quite get can someone help me out please .
Answer:
Take the attached image and use it to solve the problem.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A
if the x-axis is the "mirror", then everything above the x-axis ends up below the x-axis with the same distances from x- and y-axis. and vice versa.
so, the y-value goes from y to -y. but the x-value stays the same, because nothing changed regarding the distance and left-right position from the y-axis.
B
if the y-axis is the "mirror", then everything right of the y-axis ends up left of the y-axis with the same distances from x- and y-axis. and vice versa.
so, the x-value goes from x to -x. but the y-value stays the same, because nothing changed regarding the distance and the above-below position from the x-axis.
C
this line is just going diagonally in 45° inclination from the bottom left to the top right (and passing through the origin, of course).
yes, everything you mirror around it, will simply go upside down, and the coordinates will trade places.
D
this should create a line perpendicular to the line in C, going diagonally with an inclination of -45° from top left to the bottom right.
as in C this makes the coordinates trade places, but it will not change its signs.
Jamie left a 15% tip for a $49 meal. How much did Jamie pay for the meal and the tip together?
Answer:
$56.35
Step-by-step explanation:
Ok so heres how I got through this in school. Take the 49 and divide it by the 100 meaning 100 percent. You take the 0.49 times the 15 percent to get 7.35. Lastly, you add the 49 dollars and the 7.35 together to get 56.35.
An audio cable is 14.5 dm long. How long is the cable in meters?
Answer:
1.45 meters
Step-by-step explanation:
1 dm = 0.1 meter
14.5 x 0.1 = 1.45
you move the decimal point one place to the left turning 14.5 to 1.45
Answer:
1.45
Step-by-step explanation :
1 decimeter is equal to 0.1 meters
