Answers
The APR is 24%, so the monthly rate is 24/12 = 2% which converts to the decimal form 0.02
=============================================
Problem 1
After one month, the expression is 1000*(1.02)^1After two months, the expression is 1000*(1.02)^2After six months, the expression is 1000*(1.02)^6After twelve months or one year, the expression is 1000*(1.02)^12Refer to problem 2 below. Note how only the exponent is changing. The 1.02 is from 1+0.02, which is in the form 1+r.
=============================================
Problem 2
In general, the balance after m months is 1000(1.02)^m
This formula is very similar to the compound interest formula.
=============================================
Problem 3
Computing 1000(1.02)^12 gets us 1,268.24179456254 approximately which rounds to 1,268.24
After 1 year, the cardholder owes $1,268.24
-----------
Calculating the effective APR
r = APR = 0.24
s = effective APR
s = (1 + r/12)^12 - 1
s = (1 + 0.24/12)^12 - 1
s = 0.26824179456254
s = 0.2682
s = 26.82%
The effective APR is roughly 26.82%
=============================================
Problem 4
After t years, the balance will be approximately 1000*(1.2682)^t
The 1.2682 is from adding 1+0.2682, and the 0.2682 was the effective rate calculated in problem 3. The effective rate helps find the total amount of interest charged on a yearly basis. This assumes that no extra purchases were made and no payments were made either.
Related Questions
Which is a graph of y = -2x+ 3?
Answers
Answer: the one on the top right
Step-by-step explanation:
The list shows 8 of Takisha's math quiz scores.
70, 81, 82, 82, 82, 89, 94, 100
What is the mean absolute deviation of her quiz scores?
Answers
Answer: 85
Step-by-step explanation:
Add all the numbers together than
divide by 8
♡ The Question/Task ♡
-What is the mean absolute deviation of her quiz scores?
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
-The mean absolute deviation of her quiz scores is 7!
I apologize in advance if this is incorrect! ♡
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
-No Explanation/Step-By-Step Provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No Tips Provided!
The equation that represents the canned goods order is 24x + 64y = 384.
x = number of minutes for fruit cans
y = number of minutes for vegetable cans
Explain how to calculate the x- and y-intercepts.
Answers
Answer:
intercept
16,0
0,6
Step-by-step explanation:
Answer:
Substitute 0 for the x-value in the equation and solve for y. The result is y = 6, so the y-intercept is at (0, 6). Next, substitute 0 for the y-value in the equation and solve for x. The result is x = 16, so the x-intercept is at (16, 0).
Step-by-step explanation:
I did the assignment on edge its 8 grade math
The cost of bananas varies directly with the number of pounds bought. If 5 pounds cost $8.50
find the cost of 3 pounds.
Answers
Pls mark me Brainliest
A shopkeeper bird and electric item for rupees 1520 and sold it at 10% loss find the loss amount
Answers
Answer:
The answer is 152
Step-by-step explanation:
When you have a number in between 9999 and 1000 you can divide by 10 to get ten percent of the number
What is the true solution to 2 In eln5x = 2 In 15?
O X=0
O X=3
O X=9
O X= 15
Answers
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
Maybe you want the solution ...
[tex]2\ln{(e)}\cdot\ln{(5x)}=2\cdot\ln{(15)}\\\\2\cdot1\cdot\ln{(5x)}=2\cdot\ln{(15)}\\\\5x=15 \qquad\text{divide by 2, take antilog}\\\\x=3 \qquad\text{divide by 5}[/tex]
What is 35% of 60? just had to be 20 words
Answers
Answer:
35% of 60 = 21
the answer is 21
this is how you set it up
x/60=35/100
you first multiply 35 and 60 and your answer should be 2100 then you divide 2100 by 100 and that equals 21
i hope this helped i learned about this a month ago
Write the expression in factored form: 36x 18y + 9
Answers
Answer:
9(36x + 18y)
Step-by-step explanation:
Factor
9
9
out of
36
x
18
y
+
9
36
x
18
y
+
9
.
9
(
4
x
18
y
+
1
)
5x + 2y - 3 is an expression.
True or False
Answers
Answer:
False
Step-by-step explanation:
It does not have an equal sign, therefore making it a false equation
The hummingbird population on an island is declining at a rate of 1.4% per year. The population was 5500 in the year 2009.
What is the best prediction of the hummingbird population in the year 2016?
Enter your answer, rounded to the nearest integer, in the box.
The hummingbird population will be
Answers
Answer:
77
Step-by-step explanation:
I took the quiz
Answer:
The answer would be 77
Step-by-step explanation:
Find the nth term for the
following sequences:
Q2)3, 9, 15, 21
Answers
Answer:
[tex]a_{n}[/tex] = 6n - 3
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 9 - 3 = 15 - 9 = 21 - 15 = 6
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = 6, then
[tex]a_{n}[/tex] = 3 + 6(n - 1) = 3 + 6n - 6 = 6n - 3
*image is attached above*
Answers
Answer:
a = 16
Step-by-step explanation:
The altitude YB is at right angles to the base XZ , then
∠ YBZ = 90° , so
6a - 6 = 90 ( add 6 to both sides )
6a = 96 ( divide both sides by 6 )
a = 16
PLEASE HELP with this question i don’t understand.
Answers
Answer:
D. -5
Step-by-step explanation:
3(-5)-4 = -11
-10 is greater than -11
what is the greatest whole number that satisfies the inequality 3x -1 < 8 ?
Answers
Answer:
8
Step-by-step explanation:
3x is a varable and -1 is an integer
helppppppppppppp plzzzzzzzzzzzzzzzzz
Answers
Answer:
33.25
Step-by-step explanation:
Answer:
33.25
Step-by-step explanation:
this is probably the answer
Max drives 105 miles per week. If he drives an equal number of miles each day, then how many miles will max drive in a 30 day month
Answers
Answer:
350 miles
Step-by-step explanation:
if max drives 105 miles per week
you should first find out how many miles max drives per day.
there are 7 days in a week so :
105 ÷ 7 = 15
so for 30 days max will drive 15 × 30 = 350 miles
1 day : 15 miles
30 days : 350 miles
Answer:
450!!!!!!!!!!
Step-by-step explanation:
Solve the system y=x-3 y=-2x+3
Answers
Answer:
x = 2, y= -1 Or (2, -1)
Step-by-step explanation:
Let’s solve the system using substitution. First we can set the equations equal to each other:
x-3= -2x +3
Now solve for x
3x-3= 3
3x = 6
x=2
Now that we have x, we can plug it back into one of the original equations to get y
y= x-3
y= 2-3
y = -1
Finally, the solution to the system of equations is (2, -1).
Answer:
(2,-1)
Step-by-step explanation:
1.) y = x - 3
y = -2x + 3
2.) Multiply top equation by 2
2y = 2x - 6
y = -2x + 3
3.) Add equations
3y = -3
4.) Divide 3 from each side
y = -1
5.) Substitute -1 for y in second equation
-1 = -2x + 3
6.) Solve
-4 = -2x
x = 2
Therefore, (2, -1)
Serena Williams opened a savings account to deposit all her tennis winnings. She initially deposited $8000. After a year of monthly deposits, her account balance is $1400. How much did she deposit a month? (slope)
You get 59 points if you do this and I'll give brainlist if correct
Answers
Answer:
Step-by-step explanation:
Deposited amount 8000$
One year - 12 months
divide 8000 by 12
666.666666667
so one month
666.666666667
pls help, will give brainliest
Answers
Answer:
area of 3rd figure is 20ft^2
and perimeter is 20 ft
You can’t see the whole thing but I think it says expand i don’t know
Answers
Answer:
I cant see it at all sorry do you think you can take another picture
Amanda has $40 to spend on used books. Hardcover books cost $5 and paperback books cost $8
each. Which equation in standard form determines the number x of hardcover books and the
number y of paperback books she can buy?
Hi I need help asap plz
Answers
Answer:
5x + 8y= 40
Step-by-step explanation:
The ratio of ounces of nuts to ounces of raisins is to . In 4 batches of trail mix, the number of ounces of nuts is and the number of ounces of raisins is . The ordered pair (18, 9) means 18 ounces of to 9 ounces of .
Answers
Answer:
18
Step-by-step explanation:
i actully dont know but i just want points sorry 4=85 -18+18
Answer:18
Step-by-step explanation:
first-line 6
second-line 3
third-line 6 again :P
fourth-line 3 again :3
fifth-line 6
sixth-line 3
a train is 12 feet tall. a model of the train was built with a scale of 1 inch : 3 feet. how tall is the model of the train
Answers
Answer:
3 inch
Step-by-step explanation:
1 inch = 3 feet
12 feet = x
x = 12/3
x = 3
Someone please help me
Answers
Answer:
We can write 7 + 2 + 1 in two different ways.
a)
7 + 1 + 2b)
1 + 7 + 2Step-by-step explanation:
The commutative property of addition states that we can add the numbers in any order and get the same answer.
For example, if we add 'a' and 'b' together, the commutative property of addition states that we would get the same answer whether we add a + b or b+a.
In other words,
a + b = b + 1
In our case, we are given
7 + 2 + 1
According to the commutative property of addition, we can add the number in any order and get the same answer.
Therefore, we can write 7 + 2 + 1 in two different ways.
a)
7 + 1 + 2b)
1 + 7 + 2Verification:
Thus, the answer will remain the same in any order.
i.e.
7 + 2 + 1 = 7 + 1 + 2 = 1 + 7 + 2
Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answers
This answer makes sense: It takes Sally three hours by herself; with Steve's help, she's faster, but not THAT much faster, because he's pretty slow. You can often spot-check word problem answers like this by giving it a common sense once-over. If we came up with four hours, that would clearly be wrong: it should take her LONGER if she's getting help.
Answer:
2 1/4 hours
Step-by-step explanation:
Okay, so- The first thing I did was see how much they got done per hour. Like this:
Sally ⇒
3 hours = 1 room
1 hour = 1/3 of the room
Steve ⇒
9 hours = 1 room
1 hour = 1/9 of the room
Sally + Steve ⇒
1 hour = 1/3 + 1/9 = 3/9 + 1/9 = 4/9
So, they get 4/9 of a room done in 1 hour.
Number of hours needed ⇒
1 ÷ 4/9 = 2 1/4
Answer: They need 2 1/4 hours to paint the room.
please hurry I need to get this done HURRY!!!!!!!
Use the linear combination method to solve the system of equations.
–2.1x + 4y = 5.3
2.1x – 5.5y = –0.2
What is the solution to the system?
(, )
Answers
Answer:
The solution to the system of equations is:
[tex]x = -9[/tex], [tex]y=-3.4[/tex]
Step-by-step explanation:
Given the system of equations
-2.1x + 4y = 5.3
2.1x - 5.5y = -0.2
Solving the system of equations using the linear combination method
[tex]\begin{bmatrix}-2.1x+4y=5.3\\ 2.1x-5.5y=-0.2\end{bmatrix}[/tex]
adding the equations
[tex]2.1x-5.5y=-0.2[/tex]
[tex]+[/tex]
[tex]\underline{-2.1x+4y=5.3}[/tex]
[tex]-1.5y=5.1[/tex]
solving -1.5y = 5.1 for y
[tex]-1.5y=5.1[/tex]
Divide both sides by -1.5
[tex]\frac{-1.5y}{-1.5}=\frac{5.1}{-1.5}[/tex]
[tex]y=-3.4[/tex]
substitute y = -3.4 in 2.1x - 5.5y = -0.2
2.1x - 5.5y = -0.2
2.1x - 5.5(-3.4) = -0.2
2.1x + 18.7 = -0.2
2.1x = -0.2-18.7
2.1x = -18.9
Divide both sides by 2.1
[tex]\:\frac{2.1x}{2.1x}\:\:=\:\:\frac{-18.9}{2.1}[/tex]
[tex]x = -9[/tex]
Therefore, the solution to the system of equations is:
[tex]x = -9[/tex], [tex]y=-3.4[/tex]
Is the perimeter of an equilateral triangle proportional to the side length of the triangle?Explain your reasoning.
Answers
Answer:
Yes
Step-by-step explanation:
I think so because it's the same on both sides.
I don't know man. I'm not the best at math :)
PLEASE HELP ASAP!! Will mark BRAINLIEST!!!Which equation describes the function in the table below?...I kinda had to just put the numbers, it wouldn't put the table...lol
x 0 5 10 15 20
y 10 6.5 23 29.5 36
A. y = 1.3x + 10
B. y = x + 10
C. y = 3.3x + 10
D. y = 1.3x
Answers
Answer:
A. y = 1.3x + 10
Step-by-step explanation:
[tex]f(x) = 1 .3x + 10 \\ f(0) =1.3(0) + 10 = 10 \\ f(5) =1.3(5) + 10 = 16.5 \\ f(10) =1.3(10) + 10 = 23 \\ f(15) =1.3(15) + 10 = 29.5 \\ f(20) =1.3(20) + 10 = 36[/tex]
Factor out the coefficient of the variable. 5d + 25
Answers
Answer:
5(d+5)
Step-by-step explanation:
Find the GCF which is 5
divide:
5 divided by 5d is d
5 divided by 25 is 5
Answer:
5(d+5)
Answer:
5(d+5)
Step-by-step explanation:
Just find LCM and divide when divided multiply the whole thing by the LCM
The museum of natural history has an auditorium that can seat 200 people. A class of 45 students is seated in the auditorium for a lecture. What decimal represents the portion of the seats in the auditorium that are empty ?
Answers
Answer: 1.55
Step-by-step explanation:70 percent sure, might be .155
