The total lifetime cost for Miranda to pay off her 4 loans is: $31,337.27.
What is interest?Interest is the sum of money paid for using someone else's funds. You must pay interest when you borrow money from lenders. You receive interest when you lend money to borrowers. It could be stated in terms of money or the rate of payment. You will learn more about interest in this article, including the different sorts of interest, what they are, and how to determine how much interest will be charged on a loan or a loan amount.
Given that,
At the beginning of each of her four years in college
Miranda took out a new Stafford loan.
Each loan had a principal of $5,500,
An interest rate of 7.5% compounded monthly
A duration of ten years.
Miranda paid off each loan by making constant monthly payments, starting with when she graduated.
All of the loans were subsidized.
The total lifetime cost for Miranda to pay off her 4 loans is: $31,337.27
Therefore, the total lifetime cost for Miranda to pay off her 4 loans is: $31,337.27
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Answer: D 31,337.27
Step-by-step explanation:
Keep the Old Car or Buy a Used Car
Manny is an online student who currently owns an older car that is fully paid for. He drives, on average, 110 miles per week to commute to work. With gas prices currently at $ 2.05 per gallon, he is considering buying a more fuel-efficient car, and wants to know if it would be a good financial decision.
The old car Manny owns currently gets 17 miles per gallon for average fuel efficiency. It has been a great vehicle, but with its age, it needs repairs and maintenance that average $ 870 per year (as long as nothing serious goes wrong).
The newer, more fuel-efficient car that he is looking at to purchase will cost a total of $ 8,000 over a three-year loan process. This car gets 32 miles per gallon and would only require an average of $ 10 per month for general maintenance. To help make a decision, Manny wants to calculate the total cost for each scenario over three years. He decides to use the quantitative reasoning process to do this.
The total cost of using the old car is $4,679.29
The total cost of using the newer car is $ 8,896.25.
What are the total costs?The total cost of using the old car: (cost of maintenance x number of years) + ( miles driven to work / miles per gallon x cost per gallon x number of weeks in a year x number of years)
($870 x 3) + (110 / 17 x $2.05 x 52 x 3)
$2,610 + 2069.29 = $4,679.29
The total cost of using the newer car : purchase price + (cost of maintenance per month x number of months in year x number of years) + (miles driven to work in a week / number of miles per gallon x weeks in year x number of year)
$8000 + ($10 x 12 x 3) + (110 / 32 x 52 x 3)
$8000 + 360 + 536.25 = 8,896.25
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7. Find the perimeter of a regular
pentagon with a side measure of
57 centimeters.
A: 228 cm
O B: 342 cm
O C: 649 cm
OD: 285 cm
Answer:
D. 285 cm
Step-by-step explanation:
Answer: D: 285 CM
Step-by-step explanation:
To find the perimeter you need to multiply its sides by its measure. It gives you in this case 57x5: 285
What fraction is equivalent to 0.16?
If x is the first or smallest of three consecutive even integers what is the second integer
Answer: x+2
Step-by-step explanation:
even integers have a difference of 2 since the next even integer is after an odd integer. Hence, x+2 is the next even integer after x.
The second angle of a triangle is five times as large as the first. The measure
of the third angle is 12 degrees greater than that of the first angle. What is
the measurement of the largest angle?
Answer:
120
Step-by-step explanation:
consider
1st angle= a
2nd angle = b
3rd angle = c
now,
b=5a ............. equation 1
c = a+12 ........ equation 2
as we know in a triangle, sum of all angle is 180.
so
a+b+c = 180
=> a +5a + (a+12 ) = 180
=> 7a = 180-12 =168
=> a = 168/7 = 24
so a= 24
b = 5(24) = 120
c = a+12 = 24+12 =36
so b = largest = 120
190 is what percent of 360
Answer:
190 / 360 = 0.52777777
0.527777 x 100 = 52,78%
find the HCF of 18 42
Answer:
The HCF of 42 and 18 is 126
Answer: 6
Step-by-step explanation:
factors of 18 = 1, 2, 3, 6, 9, 18
factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42
The HCF is therefore 6
Rick is going to buy donuts for his family. Each donut costs $1.25. If the number of donuts Rick buys is represented using the letter r, which expression represents the total cost?
The algebraic expression that represents the total cost would be: A. 1.25r.
How to Write an Algebraic Expression?Given that the number of donuts Rick buys for his family is represented by letter "r", and we also know that:
cost of each donut = $1.25.
Using an algebraic expression, we can create a mathematical expression that shows the total cost for Rick to by a given number of donuts for his family.
Thus:
1 donut = 1.25
r donuts would cost: 1.25 × r = 1.25r.
Therefore, the algebraic expression that represents the total cost would be: A. 1.25r.
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will give brainliest, really struggling with probability questions. any type of help would be appreciated
Please see the attached image for your answer. Hope this helps!
Find the total surface area of the following square pyramid. Base is 12 and slant is 10 cm.
The surface area of the square pyramid when the base is 12 and slant is 10 cm is 384cm².
How to calculate the area?It should be noted that the total surface area will be:
= b² + 2bs
where b = base length
s = slant height
Surface area = (12)2 + 2(12)(10)
Surface area = 144 + 240
Surface area = 384cm².
In conclusion, the surface area of the square pyramid when the base is 12 and slant is 10 cm is 384cm².
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En nuestro sistema solar 6 de los 8 planetas
tienen lunas.
¿Qué porcentaje de los planetas tiene
lunas?
Answer:
75%
Step-by-step explanation:
% = (6/8)(100) = 600/8 = 75
Hope this helps
Suppose a study is completed that finds that the number of cockroaches in chandler decreases by 18% every 12 years. I’m 2020, there were approximately 3.5 million cockroaches in chandler.
The number of cockroaches in Chandler in the year 2025 will be 3237500 or 3.23 million approx
Approx number of cockroaches in the year 2020 in Chandler = 3500000 or 3.5 million
Percentage decrease in cockroaches every 12 years = 18%
Percentage decrease in cockroaches every year = 18/12 = 1.5%
So, in 5 years the percentage decrease in cockroaches will be = Percentage decrease every year*No. of years = 1.5*5 = 7.5%
The number of cockroaches in 2025 will be: 3500000 - 7.5% of 3500000
= 3500000 - 7.5/100*3500000
= 3500000 - 262500
= 3237500
Hence, the number of cockroaches in Chandler in the year 2025 will be 3237500 or 3.23 million approx
Although a part of your question is missing, you might be referring to this full question: Suppose a study is completed that finds that the number of cockroaches in chandler decreases by 18% every 12 years. I’m 2020, there were approximately 3.5 million cockroaches in chandler.
Assuming the number of cockroaches is changing exponentially, how many cockroaches do you estimate there will be in 2025 (5 years later)
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A newspaper editor has received 8 books to review. He decides that he can use 3 reviews in his newspaper. How many different ways can these 3 reviews be selected
Given that cos x = - 15/17 and x = ∈ [pi, 3pi/2) find csc x. Leave the answer as a reduced fraction, and enter negative signs (if any) in the numerator.
csc x =
Answer:
-17/8
Step-by-step explanation:
cscx = 1/sinx
sinx = -8/17
cscx = -17/8
Find the measure of a negative angle coterminal with 180°.
The measure of a negative angle which is coterminal with the angle 180° as given in the task content is; -180°.
Which negative angel is coterminal with the angle 180°?It follows from the task content that the negative angle which is coterminal with 180°.
On this note, it follows that the negative angle corresponds to a clockwise direction while the positive corresponds to an anticlockwise direction.
Hence, the required angle which is coterminal is; -180°.
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Find the amount if $500 was invested at 8% which compounded quarterly after a period of 2½ years. (please show workings)
The amount generated by the invested amount of $500 which is compounded quarterly will be $610.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]
Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.
If $500 had been invested at an annualized rate of 8%, the money would have after 2.5 years. For the quarterly, the value of n will be 4. Then the amount will be
[tex]\rm A = 500 \left (1 + \dfrac{0.08}{4} \right)^{4 \times 2.5}[/tex]
Simplify the equation, then the amount is given as,
A = 500 (1 + 0.02)¹⁰
A = 500 (1.02)¹⁰
A = 500 x 1.22
A = $610
The amount generated by the invested amount of $500 which is compounded quarterly will be $610.
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A parralogram has a base of 9 and a corresponding height of 2/3
The height of parallelogram is 6
What is parallelogram?In geometry, parallelogram is a shape which is a type of quadrilateral. A parallelogram has 2 pair of sides which are parallel. Thus, we can say that a parallelogram is a quadrilateral of 2 pair of parallel sides. The opposite sides of parallelogram are of equal side.
Parallelogram is a convex polygon, which is a 2-dimentional geometric shape.
Important formulas of Parallelogram :
Area of Parallelogram = base . heightPerimeter of Parallelogram = 2 base + 2 heightTotal Number of vertex = 4Total Number of edges = 4Line of the Symmetry = 0In the given question,
base of parallelogram = 9
height = 2/3
Also, area = base . height
therefore, area = 9 . 2/3 = 3.2 = 6
The height of parallelogram is 6
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The complete question is:
A parallelogram has a base of 9 and a corresponding height of 2/3 . what is the area of the parallelogram.
A number added to four is the same as three times the number. Find the number. Round your answer to the nearest integer, if necessary.
Answer:
I think the answer is, 2
Step-by-step explanation:
A number added to 4 is 2 = 6
The number added 2 times 3 = 6
I hope you get this this right.
Answer = 2
complete the table of values.
(please actually answer it, I really need it)
-5-3x
-5-3(-2)=1
-5-3(-1)= -2
-5-3(0)= -5
-5-3(1)= -8
-5-3(2)= 11
Give the equation of the horizontal line through the point (3,5)
Answer:
y=5 would be the equation
Step-by-step explanation:
when the line is horizontal you would take the y coordinate of the coordinate given to you and put that into y=n with n being the value of the y coordinate
if the line were vertical you would take the x coordinate of the coordinate given to you and put that into x=n with n being the value of the y coordinate
or Brendan watched a beetle on the sidewalk. It crawled 5/6 of a yard, then rested for a bit, and then crawled 1/3 of a yard farther. How far did the beetle crawl in all? Simplify your answer and write it as a fraction or as a whole or mixed number.
Answer:
5/9 dydgsusg6xhsxigdsys5suxts7xysustx7s
Answer:
Mixed number - 1 1/6
Improper fraction - 7/6
Step-by-step explanation:
The goal of the question is to get you to add the 2 distances the beetle crawled together.
First you have to give the fractions the same denominator.
5/6 & 2/6 (to change 1/3 to 2/6 multiply the top and bottom by 2)
Then you simply add the numerators.
5+2/6
7/6
Since this can't be simplified anymore that is your answer.
Mixed number - 1 1/6
Improper fraction - 7/6
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 310, 304,298,... 310,304,298,... \text{Find the 47th term.} Find the 47th term.
The 47th term in the given arithmetic sequence is 34.
Given,
The arithmetic sequence = 310, 304, 298,......
First term of the sequence, t₁ = 310
Common difference of the sequence, d = t₂ - t₁ = 304 - 310 = -6
nth term of an arithmetic sequence, tₙ = t₁ + ( n - 1) d
We have to find the 47th term of the arithmetic sequence.
That is, n = 47
So,
t₄₇ = 310 + (47 - 1) -6
t₄₇ = 310 + (46 x (-6) )
t₄₇ = 310 - 276
t₄₇ = 34
Therefore, the 47th term in the given arithmetic sequence is 34.
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46•2^3-3•2^3
O 344
O2,920
086
1,840
Answer:
Answer is A. 0344
Step-by-step explanation:
46*8 - 3* 8
= 43*8
= 344
Linear relationships graph
Answer: Linear graph definition
Step-by-step explanation: A linear graph is a straight line that connects the x and y coordinates
Can someone help me with this question?
Answer:
frrssetuii7ehhuytddcjiddfg
ignore the answers but someone help me please please
Answer:
Step-by-step explanation:
SQ=17
SU=SQ+UQ=17+17=34
Answer:
SQ= 17 SU=34
Step-by-step explanation:
Diagonals of parallelogram bisect each other so UQ=QS and so, QS=17 and SU = 2UQ = 34
through: (-2,-4), perp. to y= -1/2x
Answer:
y = 2x
Step-by-step explanation:
The slopes of two perpendicular lines are negative reciprocals of each other. So the slope is 2
m = 2, y = -4, x = -2
y = mx + b
-4 = 2(-2) + b
b = -4 + 4
b = 0
y = 2x
find the point of intersection y=4x-1 y=-2x+5
The point of intersection of the given two lines y = 4x - 1 and y = -2x + 5 is (1, 3).
According to the given question.
We have two equations
y = 4x - 1 ..(i)
and
y = -2x + 5 ..(ii)
As we know that, the point at which two lines intersect is called point of intersection.
Therefore, the point of intersection for the two lines y = 4x - 1 and y = -2x + 5 is given by
Subtracting equation ii from i
y - y = 4x - 1 + 2x -5
⇒ 0 = 6x - 6
⇒ 6x = 6
⇒ x = 1
Substitute the value of x in (i).
y = 4 - 1 = 3
Hence, the point of intersection of the given two lines y = 4x - 1 and y = -2x + 5 is (1, 3).
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Help❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️
The cost of 2 new college textbooks including tax is $303.42. If the tax rate is 7.2%, then what is the price. of the textbooks before tax?
round to nearest cent if needed
Help❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️
Answer:
4,214.166666666667
Step-by-step explanation:
that's the answer i am in high school but i asnswer your question
10
Which subtraction expression does the number line model show?
++++
-15 -13
+
-11 -9 -7
-7
+++
-5
-5
-3
+ +
-1
Answer:
-15-13=
-28
-11-9-7
-27