I NEED HELPP!!!
Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years.
_______________________________________________
Given all of this information, answer the following questions:

1. What is the original loan amount, i.e. how much were the total costs for tuition plus room & board for the four years that Penny attended the college?

2. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)

3. Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar)

I will mark most brainlest whoever gets it right for me :)))

Question 11

The directrix is a horizontal line, which means the parabola opens either upward or downward. In this case, it opens downward. This is because all answer choices have a negative leading coefficient. Also, it's because the focus is below the directrix.

For vertically opening parabolas, we use this form

4p(y-k) = (x-h)^2

where (h,k) is the vertex and p is the focal distance, aka the distance from the vertex the focus. To find (h,k), we start at the focus (0,-4) and move directly up until we reach the directrix y = 4. We'll arrive at (0,4). The midpoint of (0,-4) and (0,4) is (0,0) which is the vertex's location. So (h,k) = (0,0).

Note that in moving from (0,-4) to (0,4) is a span of 4 units. So this is the value of p.

Plug h = 0, k = 0, p = 4 into the equation mentioned and solve for y

4p(y-k) = (x-h)^2

4*4(y-0) = (x-0)^2

16y = x^2

y = (1/16)x^2

The only adjustment we need to make is to change the 1/16 to -1/16 so that the parabola opens downward.

===============================================

Question 3

The given equation is in the form y = ax^2+bx+c

In this case,

Let's compute the x coordinate of the vertex h

h = -b/(2a)

h = -4/(2*2)

h = -1

This h value is plugged into the original function to find k

f(x) = 2x^2+4x+3

f(-1) = 2(-1)^2+4(-1)+3

f(-1) = 1

We find that h = -1 and k = 1 pair up together. In short, (h,k) = (-1,1) is the vertex.

Answer:

4x - 7

Step-by-step explanation:

x + 2x + 3x - 2x = 4x

-8 + 1 = -7

The simplified expression is 4x -7.

A fine operation similar as deduction, addition, addition, or division is used to combine terms into an expression. In a fine expression, the following terms are used.

Given:

Expression:  x+2x –8+3x+1 –2x

Now, simplifying the expression by taking like terms along.

x+2x –8+3x+1 –2x

= x+ 2x - 2x + 3x - 8 + 1

= x(1 + 2 - 2 + 3) -7

= x( 4) -7

= 4x -7

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Answer:

Just Multiply L×B And you'll get it

And if you want me to solve then give a image!

Hope its helps!

Answer:

The answer is 11 your welcome

Answer:

11

Step-by-step explanation:

Answer:

[tex]f(-3)=-18[/tex]

Step-by-step explanation:

Since

[tex]f(x)=5x-3[/tex], we can plug in our values

[tex]f(-3)=-15-3[/tex]

Combine like terms

[tex]f(-3)=-18[/tex]

Answer:

5. x=21.9 units

6. x=14 units

7. x=31.7 units

Step-by-step explanation:

5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to [tex]\sqrt{81+400}[/tex] making x [tex]\sqrt{481}[/tex]. Rounding to the nearest tenth, we get x is about 21.9 units

6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x

7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7

Good Luck!

Answer:

Step-by-step explanation:

5.

So 18 is cut in half and forms 2 simmetrical right-triangles, yes? Yes.

So, if 20 is one of the collared, 9 will be the other collared and x will be the hypotenusa right? right.

x² = 20² + 9²

x² = 400 + 81

x² = 481

x = [tex]\sqrt{481}[/tex]

x =~ 21.93

x = 21.9

6.

Here we can se a square and 2 simmetrical triangles and if the hypo of one of them is 19 the other will also be etc. So for the small triangles:

y² = 19² - 17²

y² = 361 - 289

y² = 72

y = [tex]\sqrt{72}[/tex]

y =~ 8.48

x = 31 - (2 * 8.48)

x = 31 - 16,96

x = ~14,04

x = 14.0

Answer: A, D, E

Step-by-step explanation:

Answer:

[tex]\mathsf{\frac{3}{2}}[/tex]

Step-by-step explanation:

In order to get a product of 1, you must multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] with another fraction that will result in the same value for the numerator and the denominator, which is its reciprocal.  

In other words, [tex]\mathsf{\frac{2}{3} \:\times\frac{3}{2}\:=\:\frac{6}{6}\:=\:1}[/tex].

Therefore, you could multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] by  [tex]\mathsf{\frac{3}{2}}[/tex] to make a product of 1.    

Answer:

[tex]x = \frac{4y}{5}[/tex]

Step-by-step explanation:

[tex]5x = 4y\\\rule{150}{0.5}\\\frac{5x=4y}{5}\\\\\boxed{x = \frac{4y}{5}}[/tex]

Hope this helps.

The height of the missile above the ground is 72 meters at 0.8 sec and 2 sec.

An equation is an expression that is used to show the relationship between two or more numbers and variables.

Let h(t) represent the height of the missile above the ground at time t. Given that:

h(t) = -16t³ + 100t

When the height is 72 m:

72 = -16t³ + 100t

16t³ - 100t + 72 = 0

t = 2 seconds and t = 0.8 seconds

The height of the missile above the ground is 72 meters at 0.8 sec and 2 sec.

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Step-by-step explanation:

the general point-slope form is

y - y1 = m(x - x1)

m is the slope.

x1 and y1 are the point coordinates.

so,

y - -1 = 4(x - 1)

and simplified

y + 1 = 4(x - 1)

Answer:?

Step-by-step explanation:?

Answer:

$56.10

Step-by-step explanation:

The first step is to multiply the values.

28.50 for large.

27.60 for small.

Add them together.

You get 56.10.

Answer/Step-by-step explanation:

Given:

$5.70= Large necklace

$4.60 = Small necklace

To Find:

How much will Kevin earn from selling 5 large necklaces and 6 small necklace?

Solution:

To Find how much Kevin will earn from selling 5 large necklaces/6 Small necklace...

Multiply 5.70 by 5 and 4.60 by 6.

5.70 x 5 = 28.5

4.60 x 6 = 27.6

Hence, Kevin will earn $28.5 from selling 5 large necklaces and 27.6 from selling 6 small necklaces.

To Find all Kevin earn add both together = 56.10

Therefore Kevin earn $56.10 altogether.

Answer:

A definite integral has limits of integration and the answer is a specific area. An indefinite integral returns a function of the independent variable(s).

Step-by-step explanation:

Answer:

first one, u can't ride a decimal of a ride

Step-by-step explanation:

y = 7.50 + 2.50x

Answer:

8 months

Step-by-step explanation:

12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8

Answer: 28,000,000

Step-by-step explanation:

This is a long one.

Start with (1) 2.66 times 10 to the 13th = 26,600,000,000,000 {2.66E13}

(2) 9.5 times 10 to the 5th = 950,000

(3)  2.66E13 divided by 950,000 = 28,000,000

If this dosnt make any sense dont hesitate to say so.

Answer:

ANS is g=5

step 1: 3g=19-4

step2: or,3g=15

step 3: or,g=15%3

step 4: or,g=5

Hope it helps.

Can you give me BRAINLIEST ANSWER

THANK YOU

Answer:

hi

Step-by-step explanation:

Joshua needs to join the text in two cells together. which of the following would perform this function?

a. ="good" "morning"

b. ="good"&"morning"

c. =good "&" morning

d. ="good"&&"morning"

Answer:

D ($28)

Step-by-step explanation:

-12 + -9 + -7 = -28

Answer:

$1,353 a year $16,256 total paid 12 years

Answer:

C this is the answer

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

Area = Width X Length

9x+6 / 3 = 3x + 2

Answer:

329.87cm2

Step-by-step explanation:

Actually include the question next time.

Full Bottom Is semi circle.. find the area of the semicircle that's A1...

Then find the area of the smaller circle marked in red.. that's A2...

Then A1 - A2 will give you bottom area...

Now move to top one... Top one is a semi circle.. find its area A3...

So add both A3 with A1-A2...

Total will give the area of the shape

The area of the cross-section of the container will be 329.87 cm²

To determine the area of the cross-section of the open container, we need to find the area of the semicircle and add them up.

Area of the container:

Area = (2π r²) + (2πrh)

We are Given, the diameter are 17.5 cm and 6.5 cm respectively.

Diameter of the complete circle will be;

(17.5 + 6.5) =24.0

Area of complete circle is π x( 12)²

452.16 cm²

Therefore, the area of the circle A is (π x( 17.5/2)²

= 240.40 cm² (approx).

Therefore, the area of the circle B is (π x( 6.5/2)²

= 33.166

Total area of circle = 452.16 cm² -  33.166

Area = (452.16 cm² -  33.166 cm² ) + (2x 3.14 x 12 x 35)

Area = 329.87 cm²

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Answer:

Step-by-step explanation:

all angles are congruent:false

B.consecutive angles are congruent:false

corresponding angles are congruent:true.

c.diagonals bisect eachother:true.

d.diagonals bisect opposite angles:false.

Answer:

B.

Step-by-step explanation:

Answer:

the valve of the expression would be 184

Step-by-step explanation:

Got it right on edge

Answer:

48°

Step-by-step explanation:

1) The sum of the interior of any triangle is 180°. a + b + c = 180°. We need to find the value of x first before finding the angle F.

2) Substitute the values into a + b + c = 180, where [tex]a=6x-4[/tex], [tex]b =5x-7[/tex], [tex]c=8x-18[/tex].

Hence,

[tex]6x-4+5x-7+8x-18=180\\19x-29=180\\19x=180+29\\19x=209\\x=\frac{209}{19} \\x=11[/tex]

3) Find the angle of F by substituting 11 into x.

[tex]=5(11)-7\\=55-7\\=48[/tex]

Therefore, angle F has a measure of 48°.

Answer:

x = 7

Step-by-step explanation:

Add 4 on both sides to get 2x = 14, then divide 2 on both sides to get x = 7.

Hope this helps :)

Answer:

[tex]w^{5}[/tex], w to the power of 5

Step-by-step explanation:

[tex]\frac{w^3}{w^-2}[/tex]

When dividing indices with the same base number, you can subtract the powers: 3 - (-2) = 5. Therefore the answer is [tex]w^{5}[/tex]

Hope this helps!