Helena has taken out a $9,300 unsubsidized stafford loan to pay for her college education. she plans to graduate in four years. the loan has a duration of ten years and an interest rate of 6.4%, compounded monthly. by the time helena graduates, how much greater will the amount of interest capitalized be than the minimum amount that she could pay to prevent interest capitalization? round all dollar values to the nearest cent. a. $238.46 b. $496.00 c. $595.20 d. $324.33

Answers

Answer 1

Answer:

$324.33

Step-by-step explanation:

the answer is $324.33

Answer 2

The amount of interest capitalized is greater than the minimum amount that she could pay to prevent interest capitalization by; D: $324.33

What is the minimum Principal?

We will use the formula: A = P(1 + r/n)^(nt)

Where:

A = final amount

P = initial principal ($9300)

r = interest rate (6.4% or 0.064)

n = number of times interest applied per time period

t = number of time period elapsed.

Thus;

9300(1 + 0.064/12)^(12*4) - 9300 = $2705.13

Also;

9300(0.064/12) * 4 * 12 = $2380.8

Answer = $2705.13 - $2380.8

Answer = $324.33

Read more about Principal amount at; https://brainly.com/question/25545513


Related Questions

Mr. Jones bought a cloth of length 3890 cm. How much is the length in m and cm?

Answers

Answer:

38m and 90cm

1m = 100cm

3890cm = 38m and 90cm

Step-by-step explanation:

1m = 100cm

3890cm = 38m and 90cm

It is 3890 cm long

1 m = 100cm -->  3890cm = 38.9 meters

Hope that helps!


Write the expression in exponential form, and then evaluate.
2.1 x 2.1 =

Answers

Answer:

exponential form = 2.1^2

evaluation = 4.41

Step-by-step explanation:

it is multiplying 2.1 two times, therefore its 2.1^2

hence,

2.1 times 2.1 = 4.41

Find AC , round all answers to the nearest tenth​

Answers

Answer:

AC = 14.0

Step-by-step explanation:

We know that this is a non-right triangle, so we must use either the law of sines or law of cosines to find AC.

We can find the measure of <C using 180 - (118 + 22) = 40

Since we only know one side and all the angles, we can use the law of sines:  [tex]\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}[/tex]

[tex]\frac{24}{sin 40}=\frac{AC}{sin 22}[/tex]

Solving for AC gives us AC = 13.986826, which we can round to 14.0

please answer this URGENT!! will give brainlisest

Answers

Answer:

ED = 6.5
BE = 9

Step-by-step explanation:

We know that CD = 18. Therefore, “BE” = 9 because BE is half the length of CD

To find ED, set up a proportion

26/20 = ED/5

To find ED, multiply 5 by 26 and then divide by 20

ED = 6.5

Answer:

calculate length of BE is 9

Step-by-step explanation:

because the line which is in between two sides of a triangle is parallel with the third side and it's length equals the half of the third's side length

MATH HELP! 100 POINTS!

What system of linear inequalities is shown in the graph?



Enter your answers in the boxes.

_______

_______

Answers

#Dotted one

(0,2)(-3,1)

Slope

m=1-2/3=-1/-3=1/3

Equation in point slope form

y-2=1/3xy=1/3x+2

Put (0,0)

0<2

So the equation is

y<1/3x+2

#Dark one

(0,2)(1,0)

Equation in intercept form

x/a+y/b=1x/1+y/2=12x+y=2y=-2x+2

Put (0,0)

0<2

Equation

y<-2x+2

Please help i would appreciate it

Answers

Answer:

B

Step-by-step explanation:

divide .80 by 7 which you get .11428571428

then you multiply .11428571428 by 14 and you'll get 1.6 :)

Find the length of BC. Round your answer to the nearest whole number.

Answers

Answer:

------------------

Step-by-step explanation:

----------------------

Answer:

BC = 5 cm (nearest whole number)

Step-by-step explanation:

Use the sine trig ratio:

[tex]\mathsf{\sin \theta=\dfrac{opposite\ side}{hypotenuse}}[/tex]

Given:

[tex]\theta[/tex] = 22.6°side opposite the angle = ahypotenuse = 13

Substituting these values into the sine ratio formula:

[tex]\implies \mathsf{\sin (22.6)=\dfrac{a}{13}}[/tex]

[tex]\implies \mathsf{a=13\sin (22.6)}[/tex]

[tex]\implies \mathsf{a=4.995839195...}[/tex]

Therefore, BC = 5 cm (nearest whole number)

What is the product

(4s+2)(5s^2+10s+3)

Answers

Answer:

option d

hope it helps you<3

A golf ball has a diameter of 4.1cm and the surface has 150 dimples of radius 2mm calculate the total surface area which is exposed to the surroundings. Assume the dimples are hemispherical

Answers

We have
Diametre of golf ball= 4.1cm
radius of each dimplets= 2mm
surface area of the ball =4πr
2
=4π×(
2
4.1

)
2
cm
2
=16.81cm
2


In case of each dimplets, surface area equal to πr
2
(r is the radius of each dimple) is removed from the surface of the ball where as the surface area of hemisphere i.e 2πr
2
is exposed to the surroundings

Total surface area exposed to the surroundings = surface area of the ball

−150πr
2
+150×2πr
2
=16.81π+150πr
2


=






16.81π+150π×(
10
2

)
2







cm
2
=22.81×
7
22

cm
2
=71.68cm
2

find the perimeter
pls explain with explanation

Answers

Answer:

You have to divide the diagram into 3 rectangles and add the cm

Step-by-step explanation:

suppose you have a table-like - diagram and you have to find the perimeter

first, you divide it into 3 rectangles like so.

second, you right 1st rectangle= 1cm,2cm

then continue with this method until done.

third, you add all the measurements and you get the answer

Answer:

The perimeter is 22cm

Step-by-step explanation:

So first we know that the top is 5cm, the two bottom parts are each 1cm, one of the insides is 2cm, and the right side is 4cm. So far that gives us a perimeter of 13cm. Now we need to find the unlabeled sides, so first (and it doesn't matter what side you start with) let's find the left side. Because the shape is symmetrical we can look across at the right side's measurement, and it will be the same measurement for the left side, 4cm. Next the right inside. Again, we can look to the left and we see that the left inside has a measurement of 2 cm, so the right inside will be the same, 2cm. Now for the bottom. We see that the top is 5cm, and if we were to fill in that empty space at the bottom, it would also be 5cm. We know that the two bottom pegs are each 1cm, so they're 2cm combined. If we were to fill in the rectangle, the bottom would equal 5cm. So 5-2 (for the 2cm of the bottom pegs), we get 3cm for that bottom unlabeled part. So if we add 13 to our new numbers 4, 3, and 2, we get a perimeter of 22cm.

What is the solution of the inequality shown below?

a+2<-10

Answers

Answer:

i think its a < -12 ?

Step-by-step explanation:

okay if memory serves me right, then i think its like this

a + 2 < - 10

you can make the umm < into = for now  ( or just ignore it)

a + 2 = -10

a = -12

now ummm i think we have to think whether we use < or >

if we use < then it will be less then -10

if we use > some points may be greater than -10

its < because even if you left < as it should be (not ignoring it) then it would still be facing <

What is 9 times 5 /8? as a mixed number? somebody please help me find the answer!

Answers

Answer:

5 5/8

Step-by-step explanation:

9 = 9/1

so 9 x 5/8 = 9/1 x 5/8

you could quickly make it 45/8 or make it 9x5/1x8

45/8 is improper so you have to see which multiple of 8 is the highest without exceeding the numerator

40 is the closest and it is 8x5 so 5 will be the integer.

there are 5 leftover so 5 is also the numerator

and the denominator stays 8 as there is no further simplifying

so, the answer is 5 5/8

Answer:

5 5/8

Step-by-step explanation:

9*5/8= 45/8

help me pleaseeeeeeeeee

Answers

Answer:

math po ba yun

Step-by-step explanation:

o sience anong subject yan

Pythagorean Theorem: a^2 + b^2 = c^2

a and b are two side lengths, and c is the hypotenuse (“x”, in this case)

Therefore:
(21)^2 + (20)^2 = c^2
441 + 400 = c^2
841 = c^2
c=29

x=29 since x=c

The answer please help me this is a final

Answers

Answer:

i don't know I don't have ideas

28. Suppose an investment doubles in value every 5 years. This is year the
investment is worth $12,480. How much will it be worth 10 years from now? How
much was it worth 5 years ago?

Answers

I think the answer is in 10 years from now the investment will be worth 24,960 and five years ago it was worth

The length of the sides of a triangle can be represented by these three expressions: (7/8x + 3/4y) (2y - 1) (4 - 1/2x)

What's the perimeter of the triangle?

Answers

Answer:

=(3/8)x+3(3/4)y−(1/3)

Step-by-step explanation:

Perimeter =(7/8)x+(3/4)y+2y−1+y−(1/2)x+(2/

3)

Combining like terms together,

=(7/8)x−(1/2)x+(3/4)y+2y+y−1+(2/3)

=(3/8)x+3(3/4)y−(1/3)

give brainliest.

Increase 128 in a ratio 4:5​

Answers

Answer:

  160

Step-by-step explanation:

  5/4 × 128 = 160

__

You can write the proportion ...

  128 : x = 4 : 5

Then multiplying by 5x gives ...

  (128)(5) = 4x

  x = (5/4)(128) = 160 . . . . divide by 4 and evaluate

A raincoat costs $79. 25 today. If a similar raincoat cost $52. 48 in 1983, what is the CPI? a. 166 b. 151 c. 132 d. 127.

Answers

The CPI means consumer price index. The CPI is 151. Then the correct option is B.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A raincoat costs $79. 25 today. If a similar raincoat cost $52. 48 in 1983.

CPI is given as

[tex]\rm CPI = \dfrac{Price\ of\ raincoat\ today}{Price\ of\ raincoat\ in\ 1983}*100\\\\ CPI = \dfrac{79.25}{52.47}*100\\\\ CPI = 151[/tex]

More about the percentage link is given below.

https://brainly.com/question/8011401

A goat is tethered by a rope 3. 5 m long. Find the maximum area that the goat can

graze.

Answers

Answer

3.5/5

13

author link

anmol7337

Ace

998 answers

648.6K people helped

Answer:mark as brainliest

mark as brainliest answer

The goat will be able to move in a circular manner

Step-by-step explanation:

1_ radius =3.5/2=1.75

then area of a circle is πr²=

=22*1.75*1.75/7=

9.6m²

2- if length is increase to 4.9 m then new radius =2.45

then new area =22*2.45*2.45/7=37.75m

I hope it will help u and please mark as brainliest answer then u will get points

Val is driving 25 miles per hour. If Val travels for 3 hours, how far will she travel?

Answers

25 miles in 1 hour x 3 for 3 hours = 75 miles

Answer: 75

Step-by-step explanation: Keywords; "driving 25 miles per hour", "travels for 3 hours in total"

To solve this problem we are going to use the rate (r) and time (t) equals distance (d) formula.

d=rt

plug in the numbers into the formula as shown.

d=25 x 3

now solve.

25x3=75

final answer is 75.

hope this helps!

a number is added to 5 and the result is multiplied by one third and gave 27. what is the numeber?​

Answers

Answer:

76

Step-by-step explanation:

5 + X = Y

Y/ 3 = 27

Substitute Y with 5 + X

(5 + X) / 3 = 27

5 + X = 81

X = 76

Answer:

76

Step-by-step explanation:

let the number be n then added to 5 is 5 + n , so

[tex]\frac{1}{3}[/tex] (5 + n) = 27 ( multiply both sides by 3 to clear the fraction )

5 + n = 81 ( subtract 5 from both sides )

n = 76

the number is 76

Math Review Please help and show work if Possible so I know what to do

A photographer needs a frame for an 5 x 7 inch picture, such that the total area is 80 in2. Calculate the width of the frame.
(Note: The frame is the same width all the way around)

Which of the following quadratic equations would be used when solving this?

4x^2 + 12x = 45
4x^2 + 24x = 45
2x^2 + 24 = 45
2x^2 + 12x = 45

Answers

Answer:

4x^2 + 24x = 45

Step-by-step explanation:

Answer:

4x² + 24x = 45

Step-by-step explanation: mark me brainliest!

”The total area of the frame and picture needed by the photographer = 80 in²The size of the picture that will be in the frame = 5 × 7 inchThe length of the picture = 7 inchesThe width of the picture = 5 inchesLet x represent the width of the frame, we get;

The width of the total area = The width of the picture + 2 ×

The width of the frameTherefore, the width of the total area = 5 + 2·x

The length of the total area =

The length of the picture + 2 ×

The width of the frame

Therefore, the length of the total area = 7 + 2·xWe get;

The total area = Total length × Total width 

The total area = (5 + 2·x) × (7 + 2·x) 

We are given that the total area = 80, therefore, by transitive property of equality,

we have;(5 + 2·x) × (7 + 2·x) = 8035 + 10·x + 14·x + 4·x² = 804·x² + 24·x = 80 - 35 = 45∴ 4·x² + 24·x = 45

Therefore, the quadratic equation that can be used in solving for the width is 4·x² + 24·x = 45.”

26. A student was asked to find the value of a $2500 item after 4 years. The
item was depreciating at a rate of 20% per year. What is wrong with the student's work?
2500(0.2)
$4

Answers

The student's work is wrong because she did not subtract the rate of depreciaton from 100%.

What is the equation that represents the value of the money?

Depreciation is when the value of an asset declines with the passage of time.

FV = P (1 - r)^n

FV = Future value P = Present value R = interest rate N = number of years

2500 x (1 - 0.20)^4 = 1024

To learn more about depreciation, please check: https://brainly.com/question/25552427

Roslyn is an engineer. She is designing a part for a new engine. The length of the part is 16 centimeters (cm), the width is 6 cm, and the height of the cone top is 5 cm, as shown.

What is the volume?

Answers

The volume of the shape shown is 105π cm³

What is volume?

Volume is the amount of space occupied by a three dimensional shape and object.

Volume of the cone = (1/3) * π * (6/2)² * 5 = 15π cm³

Volume of the cylinder = π * (6/2)² * (16 - 5 - 6/2) = 72π cm³

Volume of the hemisphere = (2/3)π * (6/2)³ = 18π cm³

Volume of the shape = 15π cm³ + 72π cm³ + 18π cm³ = 105π cm³

The volume of the shape shown is 105π cm³

find out more on volume at: https://brainly.com/question/12410983

Here is my question please answer my question ASAP

Answers

Answer:

Thanks for the points but someone may report and delete it.

Step-by-step explanation:

The table shows the average length in
minutes of professional baseball games in
selected years.

Answers

Answer:

See attached image.

Step-by-step explanation:

See the attached image.

Use Microsoft Excel to produce a scatter chart.

The correlation coefficient is -0.12 and the line of the best fit is y = -0.11x + 385.50

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

 

From the table, the value of r:

r = -0.12

The negative correlation exist between year and time.

Since the value of r is not near the -1 or -1 we can say the relation is very weak.

The line of best fit:

y = mx + c

m = -0.11

c = 385.50

y = -0.11x + 385.50

Thus, the correlation coefficient is -0.12 and the line of the best fit is y = -0.11x + 385.50

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ2

I am going to give points, and mark as brainliest if anyone solves this, this is very much complicated. Trust Me.​

Answers

Answer:

15m cloth cost $42... is that the answer?

Answer:

30

Step-by-step explanation:

[tex]15\times10\div5[/tex]

Calculate

[tex]\frac{15\times10}{5}[/tex]

Cross out the common factor

[tex]3\times10[/tex]

Calculate the product or quotient

[tex]30[/tex]

I hope this helps you

:)

Find the derivative of

[tex]\\ \rm\Rrightarrow y=\dfrac{sinx+cosx}{sinx-cosx}[/tex]

Proper explanation is mandatory


Note:-
Spams/sHort/wrong answers will be deleted on the spot .

Answers

Answer:

y' = 1 / sinxcosx

Step-by-step explanation:

Given :

y = sinx + cosx / sinx - cosx

Applying quotient rule :

y' = [(sinx - cosx)(cosx - sinx) - (sinx + cosx)(cosx + sinx)] / (sinx -

cosx)²

y' = [sinxcosx - cos²x - sin²x + sinxcosx - (sinxcosx + cos²x + sin²x + sinxcosx)] / (sinx - cosx)²

y' = 2sinxcosx - 2sinxcosx - 2cos²x - 2sin²x / (sinx -cosx)²

y' = -2(sin²x + cos²x) / (sinx - cosx)²

y' = -2 / (sinx - cosx)²

y' = -2 / sin²x - 2sinxcosx + cos²x

y' = -2 / -2sinxcosx

y' = 1 / sinxcosx  [⇒ Final answer]

Answer:

⇒[tex]y'=-\frac{2}{(six-cosx)^{2} }[/tex]

Step-by-step explanation:

⇒Answer in the attachment.

Jackson has some cards – 5 hearts, 2 diamonds and 12 spades. What is the probability of him not picking a diamond card from the stack?

Answers

Answer:

17/19

Step-by-step explanation:

Total number of cards - number of diamond card

Total number of cards

5+12+2 - (2)

5+12+2

19-2

19

17

19

Solve the question please

Answers

Answer:

a = 12

b = 9

Step-by-step explanation:

b = 3/4(a)

9 = 3/4(12)

9 = 9

a + b = 21

9 + 12 = 21

------------------------------------

b = 3/4(a)

-16(1/4) = (3/4) ((37(1/4))

-16 (1/4) = 447/16

False

----------------------------------

a + b = 21

20 + 11 = 21

31 = 21

False

--------------------------------

a + b = 21

20 + 15 = 21

35 = 21

False

------------------------------

The only correct one was a = 12; b = 9

I hope this helps!

Other Questions
please help me please and thank you!!!!!!!! ASAP help plsss!!Is the following graph proportional? How do you know? Given that f (x)=2x^3-7x^2-5x +4 find the remainder by dividing it by (x-1) Isabelle found the mean absolute deviation of the data shown.Match her work to the correct step description.100 points for right answer To treat your sleep problem, you are told that you should avoid doing anything in your bed but sleeping, you should set your alarm clock to wake up at the same time each day, and you should get out of bed if you cannot sleep. What sleep disorder have you been experiencing Why were the Articles of Confederation replaced with the Constitution? PLEASE HELPPP kahsjahsjad I need help How was the Bay of Pigs Invasion different from the Korean War? Tell whether the statement is always, sometimes, or never true. Explain.The LCD of two rational expressions will have a degree greater than or equal to that of the denominator with the higher degree the 1989 parliamentary elections in poland demonstrated that which of the following was occurring in eastern europe?a shift toward totalitarianism.the diffusion of democratic ideals.the unification of the communist satellite states.a movement to abolish constitutional monarchies. Brainliest to first person A bicycle has a listed price of $811.99 before tax. If the sales tax rate is 6.5% , find the total cost of the bicycle with sales tax included.Round your answer to the nearest cent, as necessary. Which of the following statements about turning points in environmental policy is true?a. Environmental policy has changed over time as a result of pressure from industry.b. Turning points in environmental policy were typically the result of urban expansion.C. Turning points in environmental policy have come about through increased public awarenesd. Environmental policy has changed little over the history of the United States. Find the slope and the y -intercept of the graph of the linear equation.-2x+y = 4The slope is (Answer here)and the y-intercept is (Answer here) Why do people care about being popularwhy do others not? Do you yourself value popularity or being well-liked? if trapezium of area 140 cm horsepower sides 10 cm apart and one of them decides is 16 cm longfind the area find the length of the sother side as i was moulding that pot i heared the sweet delicate thinking of anklets (pick out the dependent clause and say it's kind) What is the individual, event or idea in the "Mummy, what happens to us if the bomb drops?" poster/text focus on?A. An interview of a girl in an atomic attackB. A picture of a girl cryingC. The idea of being prepared for an atomic blastD. A real picture from an atom bomb attack The ________ immune system reacts quickly and nonspecifically to any microorganism or toxin that enters the body. explain the following statement. "all ellipticals are galaxies, but not all galaxies are elliptical"