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lidiya [134]
3 years ago
8

Please do this in the simplest form

Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0

Answer:

211/36 is the answer in simplest form

but as a mixed number it would be A( 5 31/36)

Step-by-step explanation:

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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

3 0
3 years ago
What is the Estimate of 3583.37
Softa [21]

Answer: 3583.37 ≈ 3500

Step-by-step explanation:

5 0
3 years ago
Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irr
Colt1911 [192]

Answer:

Rational numbers are fractional numbers, whose numerator and denominator are integers and the denominator is ever zero.

Step-by-step explanation:

The sum of rational numbers gives a rational number;

   \frac{1}{3}  + \frac{1}{3} = \frac{2}{3} , because the evaluation of the denominator always results to a non-zero integer.

The product of  \frac{1}{3} x \frac{1}{3} = \frac{1}{9}, which multiply both numerator and denominator to give integer numbers.

The sum and product of rational and irrational numbers are always irrational numbers, for instance,

           \frac{1}{3} x 7 = 2.3 , which is a number which decimal points that can only be represented by the product irrational number and rational number , where 7 is an irrational number.

       \frac{1}{3} + 7 =  7\frac{1}{3} , which is a whole number and fractional number combined.

4 0
4 years ago
¼ x 20<br><br> ⅛ x 56<br><br> 0.16 x 32<br><br> 4.5 x 9.1
Kay [80]

Answer:

¼ x 20 = 5

⅛ x 56 = 7

0.16 x 32 = 5.12

4.5 x 9.1 = 40.95

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The forumla f = 3y yards y to feed f and f = (n/12) converts inches n to feet f. write a composition of functions that converts
Solnce55 [7]
Equating the two formulas for f, you have
  n/12 = f = 3y
Then multiplying by 12 you get
  n = 36y

This formula converts yards (y) to inches (n).
5 0
3 years ago
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