Claude took out a subsidized student loan of $12,775 at a 9.6% APR
compounded monthly, to pay for his last 2 semesters of college. If he will
begin paying off the loan in 15 months, how much will he owe when he
begins making payments?
?????
Answer:
12,775.00, since the government is responsible for the interest on the loan that accrues before Claude starts making payments
Step-by-step explanation:
APEX
Final answer:
To find out how much Claude will owe after 15 months of deferment on his student loan, we use the formula for future value with compound interest, considering the loan amount, annual interest rate, and compounding period. The future value is calculated as $14,389.49, which is the amount he will owe when he starts repayment.
Explanation:
To calculate the amount Claude will owe when he begins making payments on his subsidized student loan, we need to apply the formula for the future value of a loan with compound interest.
The loan has a principal amount of $12,775, an annual interest rate of 9.6% compounded monthly, and no payments will be made for a period of 15 months (the deferment period).
The future value FV of the loan after t periods of compounding at an interest rate of r per period can be calculated by the following formula:
[tex]FV = PV (1 + r)^t[/tex]
Where:
PV is the present value or initial amount of the loan ($12,775)r is the monthly interest rate (APR/12)t is the total number of compounding periods (15 months)First, we convert the APR to a monthly interest rate:
Monthly interest rate = APR / 12 = 9.6% / 12 = 0.8% = 0.008
Now we calculate the future value after 15 months:
FV = $12,775 × (1 + 0.008)¹⁵
FV = $12,775 × (1.008)¹⁵
Using a calculator, we find:
FV ≈ $12,775 × 1.1262 ≈ $14,389.49
Therefore, Claude will owe approximately $14,389.49 when he begins making payments.
The weights of six puppies in ounces are 8, 5, 7, 5, 6, and 9. What is the upper quartile of the data?
Answer:
8
Step-by-step explanation:
the average of 9, 8 , and 7 is 8
The upper quartile for the weights of six puppies, arranged in ascending order and given as 5, 5, 6, 7, 8, 9 ounces, is found by averaging the 4th and 5th points, resulting in 7.5 ounces.
The question seeks to find the upper quartile of the weights of six puppies, which are given in ounces as 8, 5, 7, 5, 6, and 9. To find the upper quartile, step-by-step explanation is necessary. First, we arrange the data in ascending order: 5, 5, 6, 7, 8, 9.
There are 6 data points, so to find the upper quartile (Q3), which divides the top 25% of data from the rest, we identify the data point that falls 3/4th of the way through the dataset. When there are 6 data points, Q3 is calculated by averaging the 4th and 5th data points ((7+8)/2 = 7.5). Therefore, the upper quartile of the data is 7.5 ounces.
6n + 2 + 4n = 52
Answer: The Value of n is ......
Answer:
10 n = 50-2
10n = 50
n = 50÷ 10
n =5
A movie theatre offers popcorn in two different containers for the same price. One container is a rectangular prism with a base area of 36in2 and a height of 5in. The other container is a triangular prism with a base area of 32in2 and a height of 6in. Which container is the better deal? EXPLAIN.
Answer: The triangular prism container is a better deal.
Step-by-step explanation:
Hi, to answer this question we have to calculate both containers volume and compare them.
Rectangular prism volume = base area x height
Replacing with the values given:
V = 36 x 5 = 180 cubic inches
Triangular prism volume = base area x height
V = 32 x 6 = 192 cubic inches
The triangular prism container has more volume, so it can hold more popcorn.
The two way frequency table shows what a group of students did during the summer. Which statement is true related to the table?
Answer:
That statement is true which relates to what activity was taken by most of the students of different categories in that particular group during the summers.
Step-by-step explanation:
A two-way frequency table (likewise called a possibility table) is a valuable instrument for inspecting connections between downright factors. The passages in the cells of a two-way table can be frequency checks or relative frequencies (simply like a single direction table). Two-way frequency tables show what number of information focuses fit in every classification.
Assume you direct a review where you pose every individual two inquiries. When you have wrapped up the overview, you will have two bits of information from every individual. At whatever point you have two bits of information from every individual, you can arrange the information into a two-way frequency table.
what decimal is equivalent to 1 5/8
The mixed fraction number 1 5/8 is equivalent to the decimal number 1.625.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The mixed fraction is converted into a fraction number.
1 5/8 = 13/8
Convert the fraction number into a decimal number. Then we have
13/8 = 1.625
The mixed fraction number 1 5/8 is equivalent to the decimal number 1.625.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ2
Final answer:
1 5/8 is equivalent to the decimal 1.625. To find this, one must convert the fraction 5/8 to its decimal form, 0.625, and then add it to the whole number 1.
Explanation:
The decimal equivalent to 1 5/8 is found by converting the fraction 5/8 to a decimal and adding it to the whole number 1. The fraction 5/8 is equivalent to 0.625 when converted to decimal form. Therefore, when you combine 1 with 0.625, the result is 1.625.
To convert 5/8 to decimal, divide 5 by 8, which equals 0.625. This process is similar to using the reciprocal to multiply, as discussed in the context of 1/8 being a '125–like' number. In this case, divide by 8 rather than multiply.
Need help pleaseeeeeeee
Evaluate 6t-20-32t when t=6 and u =1/4
Hope this will help u...
Answer:
Multiply the t and 6 which equals 36 so now
it is 36t -20-192t now evaluate it
Step-by-step explanation:
A trailer hold 1469 shingles. How many trailers would you need to hold 4000 shingles? Remember to use units; in this case, trailers.
Answer:It would be 3 even tho it gives 4407
Step-by-step explanation:
For evey 7 white t shirts they manufacture they should manufacture 4 yellow t shirts.they ratio of the number of white t shirts to the number of yellow t shirts should be...
The ratio of white T-shirts to yellow T-shirts should be 7:4, indicating for every 7 white, there are 4 yellow.
Explanation:The ratio of the number of white T-shirts to the number of yellow T-shirts should be 7:4. This means that for every 7 white T-shirts manufactured, 4 yellow T-shirts should be produced. This is simply a way of representing the proportion of white to yellow T-shirts in a simple and understandable way. Using a ratio is useful to show relative size and proportions.
Learn more about Ratios here:https://brainly.com/question/32531170
#SPJ12
Which statements are true about the experimental and theoretical probability of this trial?
Jacob's Coin Flips. Heads occurs 68 times and tails occurs 32 times.
The theoretical probability of landing heads up is less than the experimental probability of landing heads up.
The experimental probability of landing tails up is less than the theoretical probability of landing tails up.
The experimental probability of landing heads up is less than the experimental probability of landing tails up.
The experimental probability of landing heads up is equal to the theoretical probability of landing heads up.
Answer:
the correct answer is A and B
Step-by-step explanation:
i found this by guessing on the question and getting it correct. Also yeet leave five stars and and thanks if u are a swaglord with drip unknown to human kind.
The theoretical probability of landing heads up is less than the experimental probability of landing heads up. Statement 2 is true.
How to calculate the probability?Jacob flipped a coin and got heads 68 times and tails 32 times. The total number of flips is not given, so we cannot determine the exact probability of getting either heads or tails. However, we can make some statements about the experimental and theoretical probability based on the information given.
The theoretical probability of landing heads up is 0.5 or 50%, assuming the coin is fair and has two equally likely outcomes. The experimental probability of landing heads up is 68/(68+32) = 0.68 or 68%, which is greater than the theoretical probability of 50%. Therefore, the statement "The theoretical probability of landing heads up is less than the experimental probability of landing heads up" is false.
The theoretical probability of landing tails up is also 0.5 or 50%, assuming the coin is fair. The experimental probability of landing tails up is 32/(68+32) = 0.32 or 32%, which is less than the theoretical probability of 50%. Therefore, the statement "The experimental probability of landing tails up is less than the theoretical probability of landing tails up" is true.
We cannot compare the experimental probability of landing heads up with the experimental probability of landing tails up without knowing the total number of flips. Therefore, the statement "The experimental probability of landing heads up is less than the experimental probability of landing tails up" may or may not be true.
The experimental probability of landing heads up is 0.68 or 68%, and the theoretical probability of landing heads up is 0.5 or 50%. Therefore, the statement "The experimental probability of landing heads up is equal to the theoretical probability of landing heads up" is false.
In summary, statement 2 is true and statements 1, 3, and 4 are false.
To know more about probability follow
https://brainly.com/question/16063955
#SPJ3
Is the pair of numbers x=1 5/7 and y=4 2/7 the solution to the equation x+y=6? Find two more solutions to the equation.
Yes 1 5/7 and 4 2/7 is a solution. Adding those two numbers equals 6 because 5/7 + 2/7 = 1, then you have 4 + 1 +1 = 6
Two other solutions to x + y = 6 are any combinations of numbers when added together equal 6.
x = 5, y = 1
and
x = 2, y = 4
PLEASE PLEASE PLEASE HELP
Answer:
It should be C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
PLEASE HELP ME!!!! The average temperature of Kopikoville was reported to be - 19° last year. This year, the average temperature of Kopikoville rose by 10°. Which of the following is true about this year's average temperature of Kopikoville?
A.
This year's average temperature of Kopikoville is - 9°.
B.
This year's average temperature of Kopikoville is 29°.
C.
This year's average temperature of Kopikoville is - 29°.
D.
This year's average temperature of Kopikoville is 9°.
Final answer:
To find the current year's average temperature of Kopikoville, add the increase of 10°C to last year's temperature of -19°C, which results in an average temperature of -9°C for this year, making the correct answer option A.
Explanation:
The question asks to determine the current year's average temperature of Kopikoville based on the last year's average temperature and the change that occurred this year. To calculate this, we consider last year's average temperature of Kopikoville, which was -19°C, and we add the increase in temperature this year, which was 10°.
We perform a simple addition: -19°C + 10°C, which equals -9°C. Thus, this year's average temperature of Kopikoville is -9°C. The correct answer is option A.
Use the model to write the equivalent fraction. The colored pieces show parts of the whole.
Final Answer:
The equivalent fraction for the given model with colored pieces representing parts of the whole is 3/4.
Explanation:
In the provided model, there are three colored pieces out of a total of four. To determine the equivalent fraction, we look at the ratio of the colored pieces to the total number of pieces. Since there are three colored pieces and four pieces in total, the equivalent fraction is 3/4. This fraction represents the relationship between the colored parts and the whole, where the numerator (3) indicates the number of colored pieces, and the denominator (4) represents the total number of pieces in the model.
The process of finding equivalent fractions involves identifying a fraction that represents the same part-to-whole relationship. In this case, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor. However, in this instance, 3/4 is already in its simplest form, as 3 and 4 do not have a common factor other than 1. Therefore, the equivalent fraction remains 3/4.
Understanding fractions is essential in various mathematical concepts and real-world applications. They represent parts of a whole and are crucial in areas such as geometry, probability, and everyday calculations. In this scenario, the fraction 3/4 precisely captures the proportion of colored pieces in the given model, providing a clear and concise representation of the relationship between the highlighted elements and the entirety of the model.
Combine like terms to simplify the expression below 14x- (2x + y). PLEASE SHOW STEPS SO I CAN UNDERSTAND FOR MYSELF! THANK YOU!
A. 12x
B. 12x- y
C. 14x -y
D. 12x +2
Answer:B
Step-by-step explanation:
14x-(2x+y)
14x-2x-y
12x-y
Evaluate f(3) for the piecewise function: f(x) = StartLayout enlarged left-brace 1st Row StartFraction 3 x Over 2 EndFraction + 8, x less-than negative 6 2nd row negative 3 x minus 2, negative 4, less-than-or-equal-to x less-than-or-equal-to 3 Third row 4 x + 4, x greater-than 3 EndLayout Which value represents f(3)? –11 8 12.5 16
The piecewise function f(3) evaluates to -11.
To evaluate f(3) for the given piecewise function, to determine which rule applies to the input value of 3.
Looking at the piecewise function:
f(x) = { (3x/2) + 8, x < -6
(-3x - 2), -4 ≤ x ≤ 3
(4x + 4), x > 3 }
Since 3 falls within the range -4 ≤ x ≤ 3, the second rule (-3x - 2) is applicable.
Plugging in x = 3 into the second rule,
f(3) = -3(3) - 2
= -9 - 2
= -11
To know more about function here
https://brainly.com/question/30721594
#SPJ2
H(x)=-4x - 7, when x = 3
Answer:
-19
Step-by-step explanation:
To solve this plug 3 in for x.
H(x)= -4 (3) - 7H(x)= -12 - 7H(x)= -19a student asks you why it is possible to have an increase of 150% in price, but not a decrease of 150% in price. how would you answer the student?
Answer:
You can increase by 100% and more of the price in something but you can never decrease more than 100% of something.
Step-by-step explanation:
If you have something that costs 8 dollars to begin with then all of the sudden it costs 20 dollars, it increased by 150%. 8 is 100$ of 8, 4 is 50% of 8. 8+4=12. 12+8=20. The price began at 8 then increased by itself plus half of it which is 12.
IF you decrease the price by 150% it'll be -20 dollars. You cant physically have negative amount of money.
Please help me, this is due in 2 hours!! :-)
Please I really need help on this question, I would be grateful for any help given
Answer:
360
Step-by-step explanation:
break it up into two boxes. on will be 6x8x5. the other will be 6x4x5. find the area of them apart then add it together you get
Answer:
1320
Step-by-step explanation:
cut the diagram into two parts....left rectangle and right and add together.
left
V = l x w x h
= 5 x 6 x 12
=360
right
12 x 10 x 8
=960
Given the table of values below, which of the following ordered pairs are found on the graph of the inverse function?
A. (2.-12), (1, -9), (0.-6),(-1, -3), (-2,0)
B. (-2,-12), (-1,-9), (0, -6), (1, -3), (2,0)
C. (12,-2), (9, -1). (6.0), (3, 1), (0.2)
D. (-12, 2), (-9,1),(-6, 0).(-3,-1), (0.-2)
Answer:
C
Step-by-step explanation:
The correct option is C, as the pairs in this option are the inverse of the ordered pairs given in the original function. It's important to remember that in an inverse function, the x and y values of the original pairs are swapped.
Explanation:To answer this question correctly, it's important to understand what an inverse function is. In a function, we have pairs of values where the first value is the input (or x-value) and the second value is the output (or y-value). When we talk about the inverse function, we simply swap these pairs. That is, if (a, b) is in the function, then (b, a) is in the inverse function.
Considering this fact, we can determine the answer by looking for the option in which the y-value in the original pair becomes the x-value and vice versa. Given that, option C is the correct answer: (12,-2), (9, -1), (6,0), (3, 1), (0,2). This is because they are the inverse pairs of the original table of values.
Learn more about Inverse Function here:https://brainly.com/question/38141084
#SPJ11
PLEASEEEEEE HELPPPP!!!!!!!!
A hospital cafeteria has 20 tables
65% of the tables have 6 chairs at each table
The remaining 35% of the tables have 4 chairs at each table
Complete the model
Then complete the statements to find the total number of chairs in the hospital
cafeteria
CLEAR
Number of tables with 6 chairs:
Number of tables with 4 chairs
20 total tables
65% of the tables have 6 chairs at each table. In total, there are
chairs at these tables
35% of the tables have 4 chairs at each table. In total, there are
chairs at these tables
Altogether, there is a total of
chairs in the hospital cafeteria.
Step-by-step explanation:
it means 13 tables have 6 chairs
and 7 tables have 4 chairs
so
total chairs in the cafeteria= 13×6 + 4×7 = 78+28=106
HELP ME PLEASE:/ (Above)
Answer:
The goals are to feed the world, to develop better foods, and to fight disease
Step-by-step explanation:
The speed of light is 3.105 kilometers per second. What is that in standard form?
Answer:
This is the standard form. Nothing else can be done with answer. Maybe your question was asking for something else.
Step-by-step explanation:
Write each expression with fewer terms
10x - 2x
10x - 3y + 2x
Answer
1. 8x
2. 12x - 3y
12x-3y
12+-3y
Answer:
8x
and
12x-3y
Hope this helps!
At City Financial Bank, they have offered Haley a 7% compound interest rate. If she invests $1400 for 4 years. If they give her a compound interest rate, how much INTEREST will Haley earn at Prosper Financial Bank?
Answer:
I'm not quite sure but maybe 392??? I really don't know tho
Step-by-step explanation:
1400*4= 5600, 5600*7= 39200, 39200/100= 392
Trey evaluated 12/15 + 1/10 and got an answer of 13
25. Which statement is true about his answer?
A. His answer is not correct because when you add fractions, the sum is always greater than 1.
B.His answer is not correct because the sum cannot be less than either addend.
C.His answer is correct because 12 + 1 = 13 and 15 + 10 = 25.
D.His answer is correct because all the fractions are less than 1.
Answer:
C. His answer is correct because 12 + 1 = 13 and 15 + 10 = 25.
Step-by-step explanation:
Ramona is installing a kitchen counter that is 9 feet by 3 feet.
The counter has a hole in it for a sink that is 2 feet by 3 feet.
What is the area of the kitchen counter?
The area of the kitchen counter is 21 square ft.
Step-by-step explanation:
Area of the sink = 2 x 3
= 6 square ft.
Area of the kitchen counter = 9 x 3 -(6)
=27 - 6
= 21 square ft.
The area of the kitchen counter is 21 square ft.
The area of the kitchen counter is 21 square feet.
To find the area of the kitchen counter, we need to calculate the total area of the counter first and then subtract the area of the hole for the sink.
Calculate the total area of the counter:Therefore, the area of the kitchen counter, after subtracting the sink hole, is 21 square feet.
NEED RN, WORTH 50!
What is the value of x?
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Step 1: Make an equation
[tex]\frac{32}{40} = \frac{4}{x}[/tex]
Step 2: Cross multiply
[tex]\frac{32}{40} = \frac{4}{x}[/tex]
[tex]32 * x = 4 * 40[/tex]
[tex]32x = 160[/tex]
Step 3: Divide both sides by 32
[tex]32x / 32 = 160 / 32[/tex]
[tex]x = 5[/tex]
Answer: [tex]x = 5[/tex]