The total amount Bianca has to pay monthly to avoid interest capitalization is $13.43.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount of annual payment is given as,
[tex]A_p=P\times\left(\dfrac{r}{1-1+r}\right)^t\\[/tex]
Here, P is principal amount, the rate is r and time period is t.
Bianca took out a $2,600 unsubsidized stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished.
Total months in ten years,
[tex]t=10\times12\\t=120[/tex]
The loan has an interest rate of 6.2%, compounded monthly. The interest rate is,
[tex]r=0.062[/tex]
Put the values in the above formula as,
[tex]A_p=(2600)\times\left(\dfrac{0.062}{1-1+0.062}\right)^{120}\\A_p=161.32[/tex]
Total payment paid by her in 1 year of time is,
[tex]M_p=\dfrac{161.32}{12}\\M_p=13.43[/tex]
Thus, the total amount Bianca has to pay monthly to avoid interest capitalization is $13.43.
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Which graph represents the inequality y<−1+2x?
Answer:
choice c
Step-by-step explanation:
C, because the equation of the line matches the equation in the question & the shaded region is under the line, representing that it is less that the equation.
Show your work. The height of players in inches for a basketball team is: 85. 83. 76. 78. 89. 80. 79 81. 74. 82, 82, 84, 80, 84 The height of players in inches for a soccer team 7 70, 65, 79, 80, 69, 66, 71, 70, 74, 62, 65, 74, 74. 79, 70, 71, 72, 69, 77, 74, 70, G7, 67, 72 What is the approximate mean height difierenco between the two sports? 1. Find the mean of the basketball team. 2.5 points 2. Find the mean of the soccer team. 2.5 points 3. What is the approximate mean height difference between the two sports? 5 points
"Basketball players are generally taller.
Basketball player heights vary slightly more.
Step-by-step explanation:
I hope this helps!
Basketball players are taller because the average (mean) of basketball players is greater than soccer players.
Basketball player heights vary more because the MAD is greater or more than the soccer players."
Oilvie has raised 3,428 to buy toothpaste to place in care packages. Each tube cots $2 about how many tubes of toothpaste can she buy
Antonio is buying milk for a breakfast event. Each container of milk costs $3. He must spend $12 or less on milk for the event.
Write an inequality to represent, c, the number of containers of milk he can buy.
Could Antonio buy 4 containers of milk for the event?
Answer:
$12>_$3x4
Step-by-step explanation:
$12/$3=4 containers of milk
so yes he can buy 4 containers of milk for the event
How many terms are in the expression 4a'b - 5ab2 + 1? a) 3 b) 5 c) 7 d) 9
Answer:
A, 3
Step-by-step explanation:
A term can be a constant or a variable or both in an expression.
In this expression we can consider 4ab, 5ab^2, and 1 to be terms.
write the equation of a line in point slope form that passes through (6,5) and (-3,2)
Answer:
[tex]y-5 = \frac{1}{3}(x-6)[/tex]
Step-by-step explanation:
Point Slope Form:
[tex]y-y_{1} = m(x-x_{1} )[/tex]
where m = slope
First, you have to find the slope of the line which is the difference in y values divided by the difference in x values.
[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]
[tex]m = \frac{2-5}{-3-6}[/tex]
[tex]m = \frac{-3}{-9} \\m = \frac{1}{3}[/tex]
Then plug in the values from either point to complete your equation of the line:
[tex]y-5 = \frac{1}{3}(x-6)[/tex]
what good qualities of a dress maker when she fulfills commitment and abides by what is agreed upon by the customer
Answer:
Efficency, for getting work done on time, Skill, for able to do what kind of design is requested to her, A listening and patient ear by understanding what the customer needs and taking down details.
Step-by-step explanation:
what is the number name for 18.32? A.eighteen and thirty two tenth B. eighteen and thirty two thousandths C. eighteen and thirty two hundredths
Answer:
C. eighteen and thirty two hundredths
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
need help and can yall explainnn
Answer:
you add both the purchases then find 7% of them
Step-by-step explanation:
well the answer is 254.66 if you needed the answer and not just the explanation
Answer:
254.66
Step-by-step explanation:
Total before tax:
225.45 +12.55 = 238
To get tax, you multiply the total times the percent
(7%=.07)
238 x .07 = 16.66 (this is the amount for tax)
16.66 + 238 =
Which of the following inverse operations do you perform on the multiplication equation 3x=−27 to isolate the variable?
A.Divide by 3 on both sides of the equation
B.Multiply by 3 on both sides of the equation
C.Add 3 to both sides of the equation
D.Subtract 3 from both sides of the equation
CAN SOMEONE HELP ME OUT PLEASE AND THANK YOU
Answer:
second option
Step-by-step explanation:
The area (A) of a rectangle is length × width , thus
A = (4x + 8)(2x + 3) ← expand factors using FOIL
= 8x² + 12x + 16x + 24 ← collect like terms
= 8x² + 28x + 24
Paxton multiplied 2/3 and 5/8 and came up with 30/24. What mistakes did Paxton make and what is the correct answer to Paxton's math problem?
Step-by-step explanation:
Paxton multiplied 2/3 times the 5 in the numerator. Then he multiplied the 3 and 8 in the denominator.
The correct way to solve this problem would be to multiply the numerators and then multiply the denominators. This would give you 10/24. You can then divide the numerator and deonminator by 2 and get 5/12.
which expression would be easier to simplify if you use the associative property to change the grouping?
A: 0.85 + [0.15+(-1/3)]
B: 1+[3/4+(-1/4)]
C: [(-1/3) + +(-2/3)] + (-4/5)
D: (160 + 40) + 27
If the mean of a given dataset is 131 and the standard deviation is 8, where will a majority of the data lie?
A. 123 to 139
B. 131 to 139
C. 123 to 131
Answer:
A
Step-by-step explanation:
The reason it has to be A is because you don't have to even thing about the standard deviation right here because the only answer that has a mean of 131 is answer A.
Hope it helps have a great afternoon:)
Thx guys (i will vote brainliest)
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Jaime has 636 blocks. About how many blocks does he have ?
a. 500
B.600
C.700
D.800
Answer:
B.) 600
Step-by-step explanation:
if you are rounding to the nearest hundred value you would get 600 because the 3 in 638 will round down to 600
it can not be A because it is to far down from the number line
it can not be C or D because they are to far up on the number line
So the correct answer has to be B-600
if the 2nd number is 5 or more you will always round up.
if the 2nd number is 4 or less you will have to round down.
After rounding off Jaime has (B) 600 blocks with him.
What is rounding off?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off. to reduce the number of significant digits in a number to an approximate value. Round off the numbers 15.4 to 15, 15.51 to 15.5 or 16, 0.499 to 0, and 970,000 to 1 million.So, rounding off 636:
We can easily tell that after rounding off, the number of blocks will be:
600Therefore, after rounding off Jaime has (B) 600 blocks with him.
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The correct question is given below:
Jaime has 636 blocks. after rounding off how many blocks does he have?
A. 500
B.600
C.700
D.800
+ (−) =
n =
HELP MEEEEEE PLSSS
Answer:
-
Step-by-step explanation:
a positive multiplied by a negative will always give you an answer of a negative number. thats the only logical answer i can think of
Answer:
n = -
Step-by-step explanation:
Note that:
Negative + Negative = Positive
Negative + Positive = Negative
Positive + Positive = Positive
Solve:
Given problem:
+ (-) =n
Hence, n = -
~Lenvy~
20 points please help.
A large group of students took a test in physics and the final grades have a mean of 70 with a standard deviation of 10. If the graph of the scores has normal distribution, what percentile would a student be in if they earned an A on the test? (a is a score ≥ 90)
Answer:
The student's score closest to 91 percentile.
Step-by-step explanation:
Since the scores on the standardized test are approximately normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = test scores.
µ = mean score
σ = standard deviation
From the information given,
µ = 480
σ = 90
If a student has a score of 600, then x = 600
For x = 600,
z = (600 - 480)/90 = 1.33
Looking at the normal distribution table, the probability corresponding to the z score is 0.91
the student's score closest to 91 percentile.
The graph of the scores has normal distribution and percentile would a student be in if they earned an A on the test is 97.72%
What is Normal Distribution?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.
Normal distributions are symmetric, uni-modal, and asymptotic, and the mean, median, and mode are all equal
A data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean
Given data ,
To determine the percentile a student would be in if they earned an A (a score ≥ 90) on the physics test, we need to calculate the z-score corresponding to the score of 90 and then find the percentile associated with that z-score.
The z-score is a measure of how many standard deviations a particular value is away from the mean in a normal distribution
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation
In this case, we have:
x = 90 (the score for an A)
μ = 70 (the mean)
σ = 10 (the standard deviation)
Plugging these values into the z-score formula
z = (90 - 70) / 10 = 20 / 10 = 2
The z-score of 2 indicates that the score of 90 is 2 standard deviations above the mean in a normal distribution
The percentile associated with a z-score of 2 is approximately 97.72%
Hence , if a student earned a score of 90 or above on the physics test, they would be in the 97.72th percentile
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If the volume of a square based pyramid is 300 centimeters cubed with a height of 9 centimeters, then what is the length of the base?
A: 5.77
B: 7
C: 10
D: 100
Answer:
the answer is c
Step-by-step explanation:
1/3a^2h
=1/3x10^2x9
=300 feet^3
Rewrite as a simplified fraction. 2.2666... = ?
Answer:
[tex]\frac{34}{15}[/tex] or [tex]2 \frac{4}{15}[/tex]
Step-by-step explanation:
Let x equal the decimal. Set up two equations such that the digits after the decimal point are identical.
100x = 226.6666...
10x = 22.6666...
Subtracting the two equations, we have:
90x = 204
x = 204/90
what is the vertex of Y=4x²+8r-2
Answer:
(0,1),(0,-1)
Step-by-step explanation:
Sorry, don't know explanation.
1. Is (2, 4) a solution of the equation y = x - 2?
Answer:
No.
Step-by-step explanation:
If you plug in the numbers for the X and Y value, you will not receive the correct answer.
y = x - 2
(2, 4)
4 = 2 - 2
So, NO (2, 4) is NOT a solution of the equation y = x - 2.
This would only work if you were using addition instead of subtraction.
The Wyatt family use of a 1/2 gallon jug of milk every three days at what rate do they drink milk?
Answer:
.166 gallons per day
Step-by-step explanation:
take the half gallon and divide it by the number of days it takes to consume
.5/3=.166
Answer:
1/6
Step-by-step explanation:
Find the rate in gallons per day. Divide
1
2
of a gallon by 3 days.
To divide by 3, multiply by its reciprocal,
1
3
.
1
2
÷3
=
1
2
1
3
=
1
6
The Rudd family drinks milk at a rate of
1
6
of a gallon per day.
Someone solve this plz
Answer:
z= 23°
y= 120°
Step-by-step explanation:
For z, the measures of the angles are alternate interior angles, they equal each other. So, the equation would be:
66= 3z-3
Step 1- Add 3 to both sides.
66= 3z-3
+3 +3
69= 3z
Step 2- Divide both sides by 3.
69= 3z
3 3
z= 23°
For y, the measures of 66 and y are alternate exterior angles, they sum up to 180 degrees. So, the equation would be:
180= 60+y
Step 1- Subtract 60 to both sides.
180= 60+y
-60 -60
y= 120°
Hope this helps!
Yesterday, Bethany sent 60 text messages. She said that 15% of those messages were to her best friend. How many text messages did Bethany send to her friend yesterday
(Please explain)
Answer: 9 Text messages sorry if i'm wrong
Step-by-step explanation: OK so first, this can be answered by using division and variables.
DIVIDE
60 / 10 = 6 which means 6 = 10%
DIVIDE AGAIN
6 / 2 = 3 which is 5%
ADD AND SIMPLIFY
6 + 3 = 9 or 9 = 15%
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helppppp pleaseeee ❤️ !!
is subtraction associated in rational number ? explain with an example.
Answer:
No, subtraction is NOT associative in rational numbers.
Step-by-step explanation:
Step-by-step explanation: We are asked to state whether subtraction is associative in rational numbers or not. To explain with an example. The subtraction is NOT associative in rational numbers.
Mary says that 2−3 is equal to −8. Explain what Mary is doing wrong.
Answer:
2-3=-1
Step-by-step explanation:
Since 2 is only 1 number below 3
ussaully we would do 3-2=1 but this is 2-3 so the answer is -1
2 2/3 * 4 1/2=
MIXED NUMBER ANSWER PLS!
12 POINTS!
Answer:
12
Step-by-step explanation:
help me pls pls pls
nonsense=report
nice answer=brainles
pls dont waste my point
Step-by-step explanation:
Perimeter Area30 inches ( 10+5 x 2 ) 1600 m ( 400 x 4 )