M is at least 25 m __

kobusy [5.1K]

The graph is not proportional because it doesn’t go though the origin aka (0,0)

8 0

2 years ago

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

kaheart [24]

Answer:

D. $31,337.27

Step-by-step explanation:

We have that the initial amount of the loan is $5500.

Miranda took the loan for 4 years. So, the total present value is $5500×4 = $22,000.

The rate of interest on the loan is 7.5% i.e. 0.075 and it was for the duration of 10 years.

Also, it is given that the loan was compounded annually.

We have the formula as,

$P=\frac{\frac{r}{n}\times PV}{1-(1+\frac{r}{n})^{-t\times n}}$

i.e. $PV=\frac{P\times [1-(1+\frac{r}{n})^{-t\times n}]}{\frac{r}{n}}$

Substituting the values, we get,

i.e. $PV=\frac{P\times [1-(1+\frac{0.075}{12})^{-10\times 12}]}{\frac{0.075}{12}}$

i.e. $22000=\frac{P\times [1-(1+0.00625)^{-120}]}{0.00625}$

i.e. $22000=\frac{P\times [1-(1.00625)^{-120}]}{0.00625}$

i.e. $22000=\frac{P\times [1-0.4735]}{0.00625}$

i.e. $22000=\frac{P\times 0.5265}{0.00625}$

i.e. $P=\frac{22000\times 0.00625}{0.5265}$

i.e. $P=\frac{137.5}{0.5265}$

i.e. $P=261.16$

Thus, the total lifetime cost to pay of the loans compounded annually = 261.16 × 120 = $31,339.2

Hence, the total cost close to the answer is $31,337.27

7 0

2 years ago

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Draw a right triangle with side lengths of 3, 4, and 5 units. and answer the problem please :')

11111nata11111 [884]

Answer:

Image below

Step-by-step explanation:

Given: Side lengths of a right triangle 3,4 and 5 units.

To draw: A right triangle with the given side length.

Solution:

We know, in a right angle triangle hypotenuse is the longest side and satisfying Pythagoras theorem.

From the given side length,

Hypotenuse = 5 unit

We can take any of the base and perpendicular.

Let, Base = 3 unit

Perpendicular = 4 unit.

It a right-angle triangle with a hypotenuse 5 unit.

Now we draw a right angle triangle taking in the first 3 base and 4 perpendicular and second 3 perpendicular and 4 bases.

8 0

2 years ago

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Monroe is gift wrapping a box that has the shape of a right rectangular prism. The box has a length of 20 cm, a width of 7 cm, a

Allisa [31]

I would assume you would do base*width*weight to get your area.

6 0

2 years ago

One month Sam rented 2 movies and 5 video games for a total of 35. The next month he rented 8 movies and 3 video games for a tot

velikii [3]

Answer: For the first on its a total of $5 dollars for the second one its a total of $3.45 cents

So all in total $8.45

5 0

2 years ago

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M is at least 25 m ___ 25