$\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=5\\ w=4\frac{5}{9}\\[0.8em] \qquad \frac{4\cdot 9+5}{9}\\[0.8em] \qquad \frac{41}{5} \end{cases}\implies A=5\cdot \cfrac{41}{5}\implies \stackrel{fraction}{A=\cfrac{41}{1}}\implies \stackrel{decimal}{A=41} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \textit{perimeter of a rectangle}\\\\ A=2(L+w)\qquad \implies A=2\left(5+\cfrac{41}{5} \right) \implies A=2\left( \cfrac{25+41}{5} \right) \\\\\\ A=2\left( \cfrac{66}{5} \right)\implies A=\cfrac{132}{5}\implies \stackrel{fraction}{A=26\frac{2}{5}}\implies \stackrel{decimal}{A=26.4}$

6 0

4 years ago

Deborah needs to make 16 costumes for the school play. Each costume requires 2 and 1/4 yards of material. How many yards of mate

patriot [66]

35.5 wouldn’t be enough. She needs 2 1/4 of yards of material, first you would need to convert the fraction into a decimal and 1/4 is .25 which gives you 2.25 now you multiply 16 x 2.25 which gives you 36. That’s why 35.5 wouldn’t be enough.

3 0

3 years ago

Pls help me!! Worth 50 points and will give brainliest

kolbaska11 [484]

Answer:

<h2>A) 2 years at 3% interest = $10,617.57</h2>

Step-by-step explanation:

loan amount (P) = $10,000

interest is compound monthly :

A = P (1 + r/n)^n*t

find:

which of these loan terms will have the lowest total cost?

A) 2 years at 3% interest

B) 3 years at 3% interest

C) 4 years at 3% interest

D) 5 years at 3% interest

solution:

plugin the values into the formula to get the accumulated monthly interest.

A. using 2 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ²

= $10,617.57

B. using 3 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ³

= $10,940.51

C. using 4 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁴

= $11.273.28

D. using 5 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁵

= $11,616.17

therefore, based on the above terms, option A which is $10,617.57

has the lowest accumulated monthly interest. (total cost)

3 0

4 years ago

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