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 :)))

Step-by-step explanation:

I guess, it means every meter costs these amounts.

and the specified costs are not fit the whole bundle.

it is also unclear, if "half of it" means half of the original x meters, or half of the remaining meters (after selling 2/5 of the original meters). I assume the first.

so, we have

-5x

+ 2/5x × 5.5

+ 1/2x × 6.4

+ (10/10 - 4/10 - 5/10)x × 6 = + 1/10x × 6

= 120 ( a income minus costs is the profit, so balancing both sides in a "+" and "-" expression gives us the remaining profit).

about the line with the 1/10 :

the leftovers. 10/10 is the whole x at the beginning.

2/5 = 4/10.

1/2 = 5/10.

I brought all involved fractions to the same denominator of the smallest common multiple of 2 and 5 (10).

in full

-5x + (2/5)x×5.5 + (1/2)x×6.4 + (1/10)x×6 = 120

-5x + 2.2x + 3.2x + 0.6x = 120

-5x + 6x = 120

x = 120

so, he bought 120m in the first place.

Answer:

(5)2 x (a)2

Step-by-step explanation:

Collect the like terms which in this case are 5 and a, then see how many times they show. Put brakets or an index based on how many times the term shows.

Area(cube)=1.44cm²*6

=8.64cm²

S(triangle)=5mm*4mm*1/2

=10mm²

S(rectangle)=7mm*5mm=35mm²

S=10mm²*2+35mm²*3

S=20+105

S=125mm²

Answer:

is 2

Step-by-step explanation:

is 2 why yes

Answer:

-n

Step-by-step explanation:

The symbol √ means the principal square root.

The principal square root is always non-negative.

For example, even though the number 25 has two square roots, -5 and 5, since both (-5)² and (5)² equal 25, when you express the square root using the square root symbol, then √25 = 5, and not -5, since √25 means the principal square root of 25, and as a principal square root, it must be a non-negative number.

If n < 0, then you are dealing with negative numbers.

Once you square n to get n², n² is a positive number.

Then the square root of n², expressed with the square root symbol as √(n²) must be positive, so it equals -n.

Example:

Let n = -8.

Then n² = (-8)² = 64.

√(64) = 8

Compare 8 to -8. 8 is -(-8), just like we get -n.

Answer: -n

Answer:

-8x+5

Step-by-step explanation:

txt if you need a explanation

Answer:

This is an equilateral triangle, which means all the sides are equal.

Hence, all three angles are the same.

[tex]3x=\frac{180}{3}[/tex]

[tex]3x=60[/tex]

Therefore,

[tex]x=20[/tex]

Answer:

20

Step-by-step explanation:

3x+3x+60= 180

6x= 180-60

6x= 120

Answer:

3 : 1

Step-by-step explanation:

The values must be in the same quantity

1 Kg = 1000 g

4.5 Kg = 4.5 × 1000 = 4500 g

Then

4.5 Kg : 1500 g

= 4500 g : 1500 g ( divide both parts by 1500 )

= 3 : 1 ( in simplest form )

The simplified form of the ratio, 4.5 kg : 1,500 g is 3 : 1

A ratio is a measure of the number of times one quantity is contained in or contains another quantity.

To write the the ratio 4.5 kg : 1,500 g as a ratio in its simplest form, both quantities are to be expressed in the same unit.

1 kg = 1,000g

Therefore, 4.5 kg = 1,000 g/kg × 4.5 kg = 4,500 g

The ratio 4.5 kg : 1,500 g can be written as follows;

4,500 g : 1,500 g

The above ratio can be simplified by dividing both terms by the greatest common divisor, (GCD). The GCD of 4,500 and 1,500 is 1,500, therefore, we divide both terms by 1,500 to get;

4,500 g : 1,500 g = (4,500 ÷ 1,500) : (1,500 ÷ 1,500)  = 3 : 1

Therefore, the ratio 4.5 kg : 1,500 g simplifies to 3 : 1

Learn more on units of measurements here: https://brainly.com/question/9880441

#SPJ2

Answer:

( AB )² + 12 = 162

Step-by-step explanation:

By Pythagoras theorem,

( AB )² + ( BC )² = ( AC )²

( AB )² + ( 2√3 )² = ( 9√2 )²

( AB )² + 12 = 162

Step-by-step explanation:

it's a right angled triangle so to find the measures of 3rd side we use hypotenuse formula which is,

h² = a² + b²

here in the given figure we have to find base or b²

(AC)² = (CB)² + (AB)²

we know,

AC = 9√2

CB = 2√3

now,

162 = 12 + AB

THEREFORE, OPTION B is correct.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

4:3

Step-by-step explanation:

if we take 44:33 and simplify by dividing by 11 we get 4:3

[tex]44:33 \\ ⇒ \frac{44}{33} \\ ⇒ \frac{4}{3} \\ = 4:3[/tex]

- BRAINLIEST answerer

Answer:

(m-7) * 6

Step-by-step explanation:

you follow the statement from left to right. You see that there's a product so you write a product sign

*

then you know its the difference of m-7 on one side and 6 on the other getting

(m-7) * 6

Step-by-step explanation:

it is a linear function, if the change in y is constant in relation to the changes of x.

in other words, if the slope y change/x change is the same for every point.

when we look at the table, we see x changes constantly by +2.

and y changes constantly by -6.

so, the change rate/slope is constantly -6/2 = -3.

and therefore it is a linear function.

the equation looks like (the slope is always the factor of x)

y = -3x + b

b we get by using one of the x,y pairs like 1,4

4 = -3×1 + b = -3 + b

b = 7

so, the full equation is

y = -3x + 7

Step-by-step explanation:

Given the table of values, {(-3, 16), (-1, 10), (1, 4), (3, -2), (5, -8)}:

We must determine whether the given relation or data can be modeled by a linear equation.  It is necessary to analyze the pattern that exists between changes in y-values, along with the changes in x-values.

Subtracting the x-coordinates provides a constant difference of 2:

If you perform these same steps throught the remaining rows, then you'll get the same difference of 2.

We can perform the same steps for the y-coordinates. Subtracting the y-coordinates provides a constant difference of -6.

If you perform these same steps throught the remaining rows, then you'll get the same difference of -6.

Since the constant change in y = -6, and the constant change in x = 2, then we can calculate for the slope as: Δy/Δx = -6/2 = - 3.  Hence, the constant rate of change = -3.

As demonstrated throughout this post, we can infer that there is a linear pattern that exists between the x- and y-values.

Therefore, the data can be modeled by a linear equation because the rate of change is constant.

In order to establish the linear equation that represents y as a function of x, we can use the slope, m = -3, and one of the given ordered pairs, (1, 4), to solve for the value of the y-intercept, b. Substitute these values into the slope-intercept form, y = mx + b:

y = mx + b

4 = (-3)1 + b

4 = -3 + b

Add 3 to both sides to isolate b:

4 + 3 = -3 + 3 + b

7 = b

Therefore, the linear equation that represents the given data is: y = -3x + 7.

Answer:

x = 26 2/3

y = 50

Step-by-step explanation:

you could set '2y-3x' equal to '-3x+y+50' because they are vertical angles

2y - 3x = -3x + y + 50

add 3x to each side to get:

2y = y + 50

y = 50

also, we know that (1/2y + 25) + (2y - 3x) = 180 because they form a straight line

3/2y + 25 - 3x = 180

subtract 25 from each side to get:

3/2y - 3x = 155

substitute 50 for 'y' to get:

3/2(50) - 3x = 155

75 - 3x = 155

-3x = 80

x = 26 2/3

Answer is (x - 2).

- BRAINLIEST answerer

Answer: 5 or 9

Find the factors of the number 45.

1, 5, 9, 15

The numbers must be greater than 1 and less than 10.

Now, we must take 5 and 9.

5 x 9 = 45

9 x 5 = 45

The answers are 5 & 9.

Step-by-step explanation:

Answer:

so when you Mutpliy #*#  = #product

Step-by-step explanation:

EX: 3*4=12

I think its 52 I'm not sure please dont get angry If I got it wrong

Answer:

No -5/2 is not greater than three.

Step-by-step explanation:

You could solve this without doing any math. You know that a negative divided by a positive is still a negative and that negative numbers are never greater than positive numbers so therefore you got the answer. No, -5/2 is not greater than positive 3.

Answer:

No

Step-by-step explanation:

[tex]-\frac{5}{2}[/tex] is not greater than 3; it is less than 3. Positives are greater than negatives. To know if an integer is negative, you should see something like this: - in front of the number.

Positive integers don't have a plus sign in front of it because we already assume it is there.

After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:

Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].

Since Gigi's parabola has the x-term squared, then the parabola has the general formula

[tex](x-h)^2=4p(y-k)[/tex]

So,

[tex]x-h=x+1 \implies h=-1[/tex]

[tex]y-k=y-3\implies k=3[/tex]

The vertex is

[tex](h,k)=(-1,3)[/tex]

The focus is

[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]

The directrix is

[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]

The other values can be computed as follows;

Direction the parabola opens: Since the value of p is positive, the parabola opens up.

Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is

[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]

Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be

[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]

Learn more about conic sections here: https://brainly.com/question/12854078

Answer:

I took the quiz.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Answer:

The person is saying that everyone has their own view of God.

A example is...

That is someones view on God.

Answer:

60 weeks

Step-by-step explanation:

Setup a proportion.

[tex] \frac{weeks}{bins} \frac{1}{6} = \frac{w}{360} [/tex]

cross multiple

[tex]6w = 360[/tex]

now divide by 6

[tex] \frac{6w}{6} = \frac{360}{6} [/tex]

[tex]w = 60[/tex]

Answer/Step-by-step explanation:

Important Information:

1 Week to fill 6 Bins

Question to answer:

How Long will it takes to fill 360 Bins

Solution/Explanation:

360 Divided by 6 =

60 Week

Answer:

C.       [tex]\frac{3}{2}ab - \frac{\pi a^2}{8}[/tex]

Step-by-step explanation:

Area triangle = [tex]\frac{1}{2}(3ab) = \frac{3ab}{2} = \frac{3}{2}ab[/tex]

Area semi-circle = [tex]\frac{1}{2}(\pi (\frac{1}{2}a)^2) = \frac{\pi (\frac{1}{2}a)^2}{2} = \frac{\pi (\frac{1}{4}a)^2}{2} = \frac{\pi a^2}{8}[/tex]

Final Equation = [tex]\frac{3}{2}ab - \frac{\pi a^2}{8}[/tex]

-Chetan K

Answer:

20, 30, 35, 45, 15

Step-by-step explanation:

Just got to multiply all numbers by 5 little guy

Answer:

Kara is right

Step-by-step explanation:

Answer:  13

Step-by-step explanation:

See attached graph.

A third point (18,20) may be added to the two given points to form a right triangle with sides 5 and 12.  The distance, x, between the original two points is given by x^2 = 5^2 + 12^2

x^2 = 25 + 144

X^2 = 169

x = 13