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3 years ago

The width of a rectangle is the length minus 6 units the area of the rectangle is 27 units

Mathematics

1 answer:

AleksandrR [38]3 years ago

6 0

Answer:

length = 9 units

Step-by-step explanation:

l = length

n - 6 = width

A = n(n - 6)

A = n² - 6n

27 = n² - 6n

n² - 6n - 27 = 0

(n + 3)(n - 9) = 0

n = -3, n = 9

length must be 9 because it cannot be a negative value

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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

3 years ago

Read 2 more answers

Question 3 of 8

erastova [34]

Answer:

A. and C.

Step-by-step explanation:

We don't know the area of the roof or the number of people in the group so they would both be represented by variables in an equation.

6 0

3 years ago

Fred completed 10 math problems this is 40% of the math problems he must do how many are left??

Maru [420]

Answer:

100%-40%=60%

10-4=6

he has 6 questions left

8 0

3 years ago

X/4+10=1 pls help me!

andrew11 [14]

Answer:

x=-36

Step-by-step explanation:

x/4+10=1

x/4= -9

x= -36

5 0

3 years ago

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Marianna's mom wants to lose at least 10 pounds. She created a coordinate grid to

goldenfox [79]

Answer:

week 12

Step-by-step explanation:

not sure if i can read it correctly but it looks like she gets below 120 after 12 lines. plus 130-12 is less than 120

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3 years ago