Hal has just graduated from four years of college. for the last two years, he took out a stafford loan to pay for his tuition. each loan had a duration of ten years and interest compounded monthly, and hal will pay each of them back by making monthly payments, starting as he graduates. hal’s loans are detailed in the table below. year loan amount ($) interest rate (%) subsidized? junior 4,048 5.9 n senior 5,295 7.6 y once all of his loans are paid off, what will hal’s total lifetime cost be? round all dollar values to the nearest cent. a. $9,023.28 b. $8,467.20 c. $11,498.40 d. $13,615.20

40 cm.

[tex]Because=(long+width)\times 2=perimeter[/tex]

[tex]50:the\ perimeter=20\times 2=40\ cm[/tex]

I hope this helps you

:)

Answer:

7 hrs 42 mins

SAnswer: 7 hrs 42 mins

Step-by-step explanation:

San Antonio to Houston 3 1/3

Houston to Dallas 4 1/12

3 1/3 + 4 1/12=10/3+48/12=89/12=75/12

7 5/12= 7.4166667

= 7hrs and 42 minstep-by-step explanation:

Answer:

Step-by-step explanation:

According to given details the triangles ADB and BCE are congruent as per HL congruence

Lets verify the choices

∠DAB ≅ ∠CBA,

AE ≅ BE,

AC ≅ BD,

AD ≅ AE,

∠EAB ≅ ∠EBA,

Answer:

D) AD ≅ AE

Step-by-step explanation:

Hook me up with a 5 star and a Thanks :)

Answer:

let's say the Missing number is called 'y'.

product means multiplication so

y x 5 = 8.

Hope this at least helps.

Step-by-step explanation:

y x 5 =8

5y = 8

y = 8/5

Answer:

I hope I answered your question!

Step-by-step explanation:

6.80+0.90x=7.30+0.65x (multiply by 100 on both sides)

680+90x=730+65x

50=25x

x=2

Therefore you need to add 2 toppings to each pizza to make them cost the same.

Answer:

225 books

Step-by-step explanation:

you do 15 x 8 and you get 120 then you do 15 x 7 and you get 105 then you add 120 and 105 together and your final answer is 225 books

Answer:

ANswer: 225

Step-by-step explanation:

multiply: 15 x 7 = 105 & 15 x 8 = 120

now add " 105 + 120" together

Total: (See answer above)

Step-by-step explanation:

Your graph will have a vertical asymptote at x = 1, as the denominator x - 1 cannot equal zero. Therefore, f(1) is not posssible. Then, plugging in test values for the function on the left side of the asymptote...

[tex]f(-1) = \frac{2(-1)-1}{-1-1} = \frac{3}{2}\\f(0) = \frac{2(0)-1}{0-1} = 1\\f(2) = \frac{2(2)-1}{2-1} = 3\\f(3) = \frac{2(3)-1}{3-1} = \frac{5}{2}[/tex]

... you will find that your graph needs to include the following points:

[tex](-1, \frac{3}{2})\\(0, 1)\\(2, 3)\\(3, \frac{5}{2})[/tex]

So therefore, your graph must cross through the above points, and may never cross the vertical line x = 1.

Answer:

15,600

Step-by-step explanation:

Answer:

15,600

Step-by-step explanation:

The minimum of x is 15, and the most is infinity, which is the same thing as [15, ∞).

We have given inequality is

–3(6 – 2x) ≥ 4x + 12

The statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

[tex]-3(6 - 2x) \geq 4x + 12\\-18 + 6x \geq 4x + 12\\6x - 4x \geq 12 + 18\\2x \geq 30\\x \geq 15[/tex]

This means that the minimum of x is 15, and the most is infinity, which is the same thing as [15, ∞).

To learn more about the inequality visit:

https://brainly.com/question/24372553

Answer:

Step-by-step explanation:

Find the constant of proportionality k in each case and compare

A)

B)

C)

D)

As we see k = 0.3 is the highest one

We need unit rates for all

#A

#B

#C

#D

A has highest

Answer:

3 (4+13)

Step-by-step explanation:

The GCF of 12 and 39 in 3 so then you divide 12 and 39 by 3.

Answer:

  3,150

Step-by-step explanation:

The amount of interest earned by the account is found using the interest formula:

  I = Prt . . . . where P is the principal invested at rate r for t years

__

Using the given values, we find the interest to be ...

  I = 15,000×0.07×3 = 3,150

Mrs Davis earns 3,150 on her investment.

Answer: 6 weeks

Step-by-step explanation: 42 days in weeks would be 6 weeks

Answer:

hope this helps

Step-by-step explanation:

3x^2+ 14 x+14= 0

-3.22 , -1.45

Answer:

C

Step-by-step explanation:

The avg is about 3.6

Answer: So Remember that the range is how far the graph goes from down to up. Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y = 1 y=1 y=1.

Answer:

Step-by-step explanation:

(a)

Data Set 1

Data Set 2

Comparison

The function in vertex form that is equivalent to the equation f(x) = x^2 + 8 - 16x from the given options is given by: Option A: f(x) = (x-8)^2 -56

If a quadratic equation is written in the form

[tex]y=a(x-h)^2 + k[/tex]

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

Since it is specified that the options are in vertex form, so let we convert the given equation to vertex form.

The specified equation is: [tex]f(x) = x^2 + 8 - 16x[/tex]

Converting to vertex form:

[tex]f(x) = x^2 + 8 - 16x\\\\f(x) = x^2 -16x + 8\\[/tex]

(let we make terms such that it becomes (a+b)^2 's formula).

[tex]f(x) = x^2 -16x + 8\\f(x) = x^2 -2\times8x + (-8)^2 -(-8)^2 + 8\\f(x) = (x-8)^2 -64 + 8\\f(x) = (x-8)^2 -56[/tex]

Thus, the function in vertex form that is equivalent to the equation f(x) = x^2 + 8 - 16x from the given options is given by: Option A: f(x) = (x-8)^2 -56

Learn more about vertex form of a quadratic equation here:

https://brainly.com/question/9912128

Answer:

A

Step-by-step explanation:

Susan's monthly payment will be $117.93.

We have Susan take out a personal loan for $3,500 at an interest rate of 13% compounded monthly.

P=3500

r=30%

t=3

[tex]A = \frac{P(\frac{r}{12} )}{(1 -(1 +r/12)^{(-12t)}}[/tex]

Where A is the payment,

P= principal,

r =the annual interest rate

t is the number of years.

use the given value in the formula we get

[tex]A = \frac{3500(0.13/12)}{(1 -(1 +0.13/12)^{-36} }[/tex]

A=117.9288

A= 117.93

Susan's monthly payment will be $117.93.

To learn more about the monthly payment visit:

https://brainly.com/question/25109150

Answer: C $117.93

Step-by-step explanation:

Answer:

[tex]k = \frac{4}{5} [/tex]

Step-by-step explanation:

We know from the graph

[tex]g(x) = - \frac{1}{5} [/tex]

and

[tex]f(x) = 1[/tex]

using the given equation we can solve

[tex] - \frac{1}{5} = k - 1 \\ [/tex]

subtract 1 from both sides so that k is isolated

[tex] \frac{4}{5} = k[/tex]

Answer:

A. 10

B. 17

C. 29

D. 80

E. 300

Step-by-step explanation:

A.

x + y

7 + 3

10

B.

x + x + y

7 + 7 + 3

14 + 3

17

C.

2x + 5y

2(7) + 5(3)

14 + 15

29

D.

8(x + y)
8(7 + 3)

8(10)

80

E.

15(2x + y + y)

15(2(7) + 3 + 3)

15(14 + 3 + 3)

15(17 + 3)

15(20)

300

Answer:

plan c. is the answer byebye

Step-by-step explanation:

Graph to move right

As we can see mad is same (10)

So if we turn mean to right it gets bigger.

Option A is correct

Answer:

partA option B is the correct answer

partB option A is the correct answer

Answer:

Diagonal : 10.2

Longer side: 6

Shorter side: 4

Step-by-step explanation:

Answer:

The Answers are 10.6 for the first one 6 for the second one and 4 for the third one

Step-by-step explanation:

Hope this helps sry if I'm wrong

I also needed the points :)

Answer:

H = 5.0

Step-by-step explanation:

Using the formula

[tex]V=\pi r^{2} h[/tex]

Solving for h

[tex]h =\frac{V}{\pi r^{2} } =\frac{250}{\pi *4^{2} }\neq 4.97359[/tex]

Round to the nearest tenth

[tex]5.0[/tex]

888 + 88 + 8 + 8 + 8 = 1000

have a nice day!

888 + 88 + 8 + 8 + 8 = 1000

hope this helps....

Answer:

Right square pyramid

Step-by-step explanation:

A=a2+2aa2

4+h2

Answer:

840in^3

Step-by-step explanation:

0.5 * b * h * length=voulme