Tom earns $32,110 annually. What is the total amount of

1 answer:

8 0

Bi weekly means every two weeks, divide 12 (this would be your months) by your annual pay (32,110), and you would get $2675.83. I hope this helps some.

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Emerson is making costumes for the

Elis [28]

9514 1404 393

Answer:

13 costumes

Step-by-step explanation:

The amount of fabric used is the product of the amount per costume and the number of costumes.

A = na . . . . . A = total area; n = number of costumes; 'a' = area per costume

46 2/3 = n(3 1/2)

n = (46 2/3)/(3 1/2) = (140/3)/(7/2) = (140/3)(2/7) = 40/3 = 13 1/3

Apparently there is some waste, as Emerson used more fabric than necessary to make 13 costumes.

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2 years ago

30 POINTS IF SOMEONE ANSWERS CORRECTLY (MATH)

Alekssandra [29.7K]

a. factor A = x^2 -30x + 225 = (x - 15)(x - 15)

side length = (x - 15)

b. add (x - 15) four times = 4(x - 15) = 4x - 60

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1 year ago

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A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles: (5 points)

guapka [62]

Answer:

696.265 inches

Step-by-step explanation:

Radius = 27/2 = 13.5

2 semicircles + 2 lengths

(3.14 × 13.5²) + 2(62)

696.265 inches

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2 years ago

Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The

Soloha48 [4]

a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

$\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\$

$\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft$

$\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft$