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valentinak56 [21]
3 years ago
11

6.

Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0

Answer:

The answer is in the attached file below

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
83 tens times 2 tens
gizmo_the_mogwai [7]

Answer:

16600 should be the answer.

Step-by-step explanation:

because 830 times 20 is 16600.

hope i helped

6 0
3 years ago
How to calculate the function y=x/3
OLEGan [10]
X     Y
0     0
1      1/3
2      2/3
3     1
4      4/3
5     5/3
6     2
7      7/3
8      8/3
9      3
I think this is what you meant. This is just a table for the values of y = x/3
6 0
3 years ago
A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.
rusak2 [61]

<span>m∠A =73.7° 
m∠B = 16.3°
m∠C = 90<span>°</span></span>
3 0
3 years ago
Read 2 more answers
Solve for X: -7 06 6 6- 0-6
____ [38]

Answer:

-6<x<9 is the right option.

6 0
3 years ago
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