a. I will payoff about $243 and 67 cents each month.
b. I will pay a total interest of 39.24%.
How do credit card payoffs work?
They work on the principle of compound interest.
After one year, I have to pay $(4200*18)/100 =$756 extra
which means my principle amount for second year will be 4200+756=4956$
After second year, I have to pay $(4956*18)/100=$892.08 extra
Total payoff at the end of second year=$4200+$756+$892.08=$5848.08
Therefore, each month I need to pay (5848.08/24)=$243.67
To calculate the interest:
Interest= (Total amount payoff - initial balance)*100/initial balance
=(5848.08-4200)*100/4200
=39.24%
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(10x - 4)=20
Question: What value of x makes the equation true
Answer:
x = 10.4
Step-by-step explanation:
1. Multiply each side by 5 to remove it as a fraction
2. it cancels out on the left leaving 10x - 4 = 100
3. Add 4 to each side canceling it out on the left and leaving 10x = 104
4. Divide each side by 10 to get x by itself
5. 10x/100 = 104/10
6. x = 10.4
How would the imaginary number 7/2i be written as a complex number?
Answer:3.5? i’m not sure sorry
hope that kinndaaaa helps if xxo
Step-by-step explanation:
The representation of (7/2)i in complex number will be 0 + (7/2)i thus option (C) will be correct.
What is a complex number?Complex numbers are helpful in finding the square root of negative numbers.
If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).
The general form of a complex number is a + ib where the first part a called real and the ib is called imaginary.
The complex number is written as a + ib where a is said to be the real part while bi is the imaginary part.
As per the given (7/2)i here real part is missing thus, put a = 0
0 + (7/2)i will be the correct.
Hence "The representation of (7/2)i in complex number will be 0 + (7/2)i".
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Parallel to y = 2x – 5
going through (-6, 1)?
Answer:
y=2x+13
Step-by-step explanation:
Gradient of parallel lines are equal and in the equation,y=2x-5, 2 represents the gradient.
Therefore the gradient of the other line will also be 2.
Introduce another point (x,y) and then equate using the gradient as follows:
y-1/x--6=2
y-1/x+6=2
Cross multiplication;
(y-1)=2(x+6)
y-1=2x+12
y=2x+12+1
y=2x+13
How many pairs of opposite sides are parallel
What is the length of the diagonal of a cube with a side length of 5 cm? Round to the nearest tenth.
O 7.1
O 8.7
O 21.3
O 26.7
Answer:
8.7
Step-by-step explanation:
formula
d = sqrt(s^2 + s^2 + s^2)
d = sqrt(3*5^2)
d = sqrt(75)
d = 8.7
Where did I get the formula? If the cube sits on one of its faces then the diagonal of that face is sqrt(s^2 + s^2) = sqrt(2s^2)
Now to get the third s^2, you have to realize the the diagonal you calculated in the previous remark is one of the legs for the cube's corner to corner diagonal. The other leg is the height squared which is also s^2.
Answer:
hello love! your answer is 8.7cm :)
Step-by-step explanation:
i got it right on edge !
T
|3x°
--
V
W
Find the measure of angles T and V.
mZT=
o
mZV=
Answer:
∠T = 67.5
∠V = 22.5
Step-by-step explanation:
Angles of a triangle rule: The angles of a triangle should add up to equal 180
That being said we create an equation to solve for x
180 = 3x + x + 90 ( there is a right angle indicated by the square at the bottom right of the triangle. A right angle has a measure of 90 degrees so that is where the 90 cam from )
Now that we've created an equation we want to solve for x
180 = 3x + x + 90
step 1 combine like terms
3x + x = 4x
now we have 180 = 4x + 90
step 2 subtract 90 from each side
180 - 90 = 90
now we have 90 = 4x
step 3 divide each side by 4
4x / 4 = x
90 / 4 = 22.5
we're left with x = 22.5
Now we want to find ∠T and ∠V
To do so we replace x in the given expressions with 22.5
for ∠V
∠V = x so ∠V = 22.5
for ∠T
∠T = 3x
* replace x with 22.5 *
3 (22.5) = 67.5
Hence ∠T = 67.5
pleaseee???? anyone? need helpp
Answer:
x=9
Step-by-step explanation:
Thats your answer
Сумма пяти последовательных натуральных нечетных чисел равна 9975 Найдите эти числа
What is the length of side x and y? *????????????????????????
Select the correct answer. Consider functions fand g. f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7) Which expression is equal to f(x) + g(x)? A. 4x2 – 3x + 4 B. -10r2 + 41 – 3 C. -10,2 – 3x + 4 D. –332 – 3x - 3
Answer:
Correct Answer:
Option (B) -10r2 + 41 - 3
Step-by-step explanation:
#platolivesmatter
Hope this helped :)
Comment for more help, I respond very fast ;)
The expression is equal to f(x) + g(x) is -10x^2 - 3x + 4, the correct option is C.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
The expression f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7)
Now,
To find f(x) + g(x), you can add the two functions term by term. This gives you:
f(x) + g(x) = (-3x^2 + 4x + 4) + (x(-7x – 7))
f(x) + g(x) = -3x^2 + 4x + 4 - 7x^2 - 7x
f(x) + g(x) = -10x^2 - 3x + 4
Therefore, by the given expression the answer will be -10x^2 - 3x + 4.
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sally has 200$ in her checking account and gets paid 15$ an hour for babysitting kent has $245 in his checking account and gets paid $12 an hour for baby sitting how many hours do kent and sally need to work to have the same amount on money in their checking account
Answer:
Sally and Kent would have to each work a total of 15 hours to have the same amount of money in their checking account.
Step-by-step explanation:
Set up equations.
x = hours, T = total $
Sally:
T = 200 + 15x
Kent:
T = 245 + 12x
Set both equations equal to each other.
200 + 15x = 245 + 12x (subtract 200 from both sides)
15x = 45 + 12x (subtract 12x from both sides)
3x = 45 (divide both sides by 3)
x = 15
To help with his retirement savings, Dan has decided to invest. Assuming an interest rate of 3,43% compounded quarterly, how much would he have to invest
to have $148,700 after 18 years?
Do not round any intermediate computations, and round your final answer to the nearest dollar. If necessary, refer to the list of financial formulas.
00
si
X
5
?
Answer:
He would have to invest $80,412.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Assuming an interest rate of 3,43% compounded quarterly.
This means that [tex]r = 0.0343, n = 4[/tex]
How much would he have to invest to have $148,700 after 18 years?
This is P for which [tex]t = 18, A(t) = 148700[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]148700 = P(1 + \frac{0.0343}{4})^{72}[/tex]
[tex]P = \frac{148700}{(1 + \frac{0.0343}{4})^{72}}[/tex]
[tex]P = 80412[/tex]
He would have to invest $80,412.
Find the surface area of the cylinder. Round your answer to the nearest hundredth and include units. Show your work on a piece of paper. *
1 point
Answer:
A = 414.69 km^2
Step-by-step explanation:
A = 2 π r h + 2 π r^2
A = 2(30)(pi) + 2(36)(pi)
A = 132pi
A = 414.69 km^2
The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?
Answer:
why is brainlys tutor system not free anymore
Step-by-step explanation:
I really need to know all of a sudden it's not free anymore
Answer:
A=L×W
600=L×30
600/30=L
L=20
therefore the length is 20m
If a basketball court is 94 feet long and 50 feet wide, what is the area of a basketball court?
Answer:
4700
Step-by-step explanation:
To find the area, the formula is to multiply the width and the length. That is what I did and got 47 hundred
If 40 is increased to 56, what is the percent of change?
80%
29%
40%
71%
Answer:
what the first person said
Step-by-step explanation:
5x5x5x5x5x5+ 10-2x10x20
Answer:
15,235
Step-by-step explanation:
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
bit.[tex]^{}[/tex]ly/3a8Nt8n
A rectangle has an area of 18 square centimeters. Which of the following could be the rectangle's length and width? (Area = equals length × times width)
Answer:
Step-by-step explanation:
any combination that has as result 18
18 x1
9 x2
6x3
A school needs 2,400 notebooks for next year if the notebooks come in packages of 60, how many packages should the school buy?
Answer:
40
Step-by-step explanation:
Divide 2400 by 60 to get 40
Hope this helps!
Answer:
40
-step explanation:
A chemist has 30% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 65 liters of 32% acid solution?
liters of 30% acid
liters of 40% acid
Answer:
30 = 80 %
40= 20 %
Step-by-step explanation
I'm sorry for not writing how to do it but it's something like if 30 = 100 then if we had 40 occupying 20 percent of that acid then we will get 32 percent
The number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let x be 30% solution of acid and y be 40% solution of acid.
Total quantity of solution is 65 liters.
Now, x+y=65 ----------(i)
Number of liters of solution should be mixed to obtain 65 liters of 32% acid solution.
So, the equation is 30% of x+40% of y=32% of 65
0.30x+0.40y=0.32×65
0.30x+0.40y=20.8 ----------(ii)
From equation (i), x=65-y
Substitute x=65-y in equation (ii), we get
0.30(65-y)+0.40y=20.8
19.5-0.30y+0.40y=20.8
0.10y=20.8-19.5
0.10y=1.3
y=1.3/0.1
y=13
Substitute y=13 in equation (i), we get x=52
Therefore, the number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.
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please help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The Blue box is your answer
Step-by-step explanation:
Multiply 4, 8, and 7 and you get 224. The problem states that it should not be over 250, and 224 is not over 250. So the blue box is your best go.
PLEASE HELP DUE TODAY
9514 1404 393
Answer:
16 square units
Step-by-step explanation:
When you plot the points, you see they define a trapezoid with bases of lengths 2 and 6, and a height of 4. The area formula is ...
A = (1/2)(b1 +b2)h
A = (1/2)(2 +6)(4) = 16
The area of the trapezoid is 16 square units.
The question is down below.
AB=
Answer:
Step-by-step explanation:
This time we use the sin identity.
I am too lazy to write it out again but the answer is 6.97
Help fast plsssssssssss
Answer:
- and -. =+ so-9+12=3
Step-by-step explanation:
the minus changes to plus and then we solve
me pueden ayudar a resolver la ecuaciones
Which statement describes a unit rate?
A. Joe rides his bike 5 miles and walks 1 mile.
B. Joe rides his bike 30 miles in 3 hours.
C. Joe rides his bike 15 miles per 1 hour.
D. Joe rides his bike 1
2
mile in 10 minutes.
Answer:
C
Step-by-step explanation:
unit rate means 1 and it says that 15 per hour which shows that c is the answer
Answer:
C. Joe rides his bike 15 miles per1 hour.
Step-by-step explanation:
Key word: PER
Any time you see the words PER, EACH, stuff like that, it is unit rate. Hope this helps!
Please help 13 points number 3 no links !
Answer:
H
Step-by-step explanation:
[tex]\frac{1}{4} + \frac{4}{5} = 1\frac{1}{20}[/tex]
Answer:
Hi, using L.C.M, It will be option H
An administrator at a local high school wanted to investigate whether there is an association between the amount of time a student studies for a test and the type of extracurricular activity the student is involved in. Three hundred students selected at random were asked how long they had studied for the last math test and how many extracurricular activities they are involved in. The times they had studied were recorded as either not at all, less than 30 minutes, or more than 30 minutes. Each student also identified which extracurricular activity (out of a total of 5 extra curricular activities) they were involved in. The calculated chi-square test statistic was 7.53 with a corresponding
Answer:
The answer is "When you don't deny the null hypothesis, you'll lose. Since a p-value of 0.4807 is higher than a level of significance of 0.05, the test also isn't statistically important".
Step-by-step explanation:
The state of the hypotheses values
Null hypothesis:
[tex]H_0:[/tex]There is still no connection between how the time a student invests studying for the test and what kind of endurance sport he or she participates in.
Null hypothesis:
[tex]H_l :[/tex] There is indeed a connection between how the time a student invests studying for a test and the type of endurance sport in that he or she participates.
Law of Rejection:
Null hypothesis value is rejects, when the P-value is less than or equal to 0.05. P-value is 0.4807, which is greater than 0.05, based on the information provided.
A deli that just opened was giving out free mini sandwiches. A sample of 50 likely customers was surveyed about which sandwich they preferred. The people surveyed included 12 people who said they preferred the roast beef sandwich. Based on this information, how many of the first 150 sandwich orders should the deli predict will be for roast beef?
Answer:
128
Step-by-step explanation:
Miguel has $30. He spends $6.00 on a movie ticket, $3.80 for snacks, and $1.00 for bus fare each way.
How much money does Miguel have left?
Miguel has $ left.
Answer:
answer is 19.2 left ........