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3 years ago

A square has a side length of 5 yards. What is its area in square feet? Use pencil and paper. Show two ways to find the answer.

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

5 0

5 × 5 = 25 square yards
25 × 3 = 75 square feet

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Please check for me and if any are incorrect please explain!

Anika [276]

Answer: (1) 14.4% (2) 3.78% (3) $222.48 (4) 21,176.47

(5) $425 (6) 14.3 cents per mile

Step-by-step explanation:

1) This is a calculator question. I = 0.144 --> 14.4%

$A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\\\\\bullet \text{A = Accrued amount (total amount paid)}\\\bullet \text{P = Principal (initial cost of the car)}\\\bullet \text{r = rate (interest rate in decimal form)}\\\bullet \text{n = number of times in a year (number of months)}\\\bullet \text{t = number of years}\\\\A = m \times nt\\\bullet \text{m = monthly payment amount}\\\bullet \text{nt = number of payments made}\\\implies m\times nt=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}$

2) m = 93.33

nt = 36

P = 3000

n = 12

$m\times nt=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\\\\\\93.33\times 36=3000\bigg(1+\dfrac{r}{12}\bigg)^{36}\\\\\\3359.88=3000\bigg(1+\dfrac{r}{12}\bigg)^{36}\\\\\\1.11996=\bigg(1+\dfrac{r}{12}\bigg)^{36}\\\\\\1.00315198=1+\dfrac{r}{12}\\\\\\0.00315198=\dfrac{r}{12}\\\\\\0.0378=r\\\\\\\large\boxed{3.78\%}=r$

3) same equation as #2 but deduct the down payment from the Principal

nt = 42

P - d = 5,555 - 555 = 5,000

r = 18% --> 0.18

n = 12

$m\times nt=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\\\\\\m\times 42=(5,555-555)\bigg(1+\dfrac{.18}{12}\bigg)^{42}\\\\\\42m=5000(1.015)^{42}\\\\\\42m=5000(1.868847)\\\\\\42m=9344.23557\\\\\\m=\large\boxed{222.48}$

4) Gas + Oil = cost per mile × number of miles

1000 + 800 = 0.085x

1800 = 0.085x

$\large\boxed{21,176.47}=x$

5) $\text{Annual Depreciation}=\dfrac{\text{Cost of car - Trade-in value}}{\text{Years driven}}$

$.\qquad =\dfrac{3800-1250}{6}\\\\\\.\qquad =\dfrac{2550}{6}\\\\\\.\qquad = \large\boxed{425}$

6) $\dfrac{\text{(Cost of car - Market value) + Gas & Oil + Parts, Maintenance + Insurance}}{\text{Miles driven}}$

$=\dfrac{(5000-3800)+750+250+300}{17,500}\\\\\\=\dfrac{2500}{17,500}\\\\\\=0.142857\\\\=\large\boxed{14.3\ cents\ per\ mile}$

4 0

3 years ago

F(x)=-x+2f(x)=−x+2, find f(6)f(6).

Vesna [10]

Answer:

f(6) = - 4

Step-by-step explanation:

Substitute x = 6 into f(x) , that is

f(6) = - 6 + 2 = - 4

7 0

3 years ago

Evaluate the expression when a=2 and b=4 <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bb%20%7B%7D%5E%7B2%7D%20-%202a%20%7D%2

12345 [234]

Answer:

Step-by-step explanation:

Substitute a = 2 , b = 4 into the expression

$\frac{b^2-2a}{a}$

= $\frac{4^2-2(2)}{2}$

= $\frac{16-4}{2}$

= $\frac{12}{2}$

= 6

3 0

3 years ago

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PLEASE HELP! 30 POINTS AND DUE IN 3M!

vlada-n [284]

The correct answer would be A. -10.6.

7 0

3 years ago

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Explain how solving -4t < 32 is different from solving 4t <-32.

stiv31 [10]

Thanks for the question!

When you multiply or divide both sides of an inequality, you flip the sign. "Flip," meaning greater than becomes less than and less that becomes greater than.

Hope this helps!

3 0

3 years ago

A square has a side length of 5 yards. What is its area in square​ feet? Use pencil and paper. Show two ways to find the answer.

A square has a side length of 5 yards. What is its area in square feet? Use pencil and paper. Show two ways to find the answer.