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Vlada [557]
3 years ago
6

Martina invested her savings in two investment funds. The $12,000 that she invested in Fund A returned a 5% profit. The amount t

hat she invested in Fund B returned a 1% profit. How much did she invest in Fund B, if both funds together returned a 4% profit?
Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

we know she invested 12000 in A, and say "b" dollars in B, so the total amount invested or principal must be 12000 + b.

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{3em}\underset{\textit{\Large profit from A}}{\stackrel{\textit{5\% of 12000}}{\left( \cfrac{5}{100} \right)12000}}\implies 600~\hfill \underset{\textit{\Large profit from B}}{\stackrel{\textit{1\% of "b"}}{\left( \cfrac{1}{100} \right)b}\implies 0.01b}

we also know that those profits added together, yielded only 4% of the total amount invested, namely 4% of (12000 + b), which will be 0.04(12000 + b).

\bf \stackrel{\textit{\Large returned profits}}{\stackrel{A}{600}+\stackrel{B}{0.01b}~~=~~0.04(12000+b)}\implies 600+0.01b=480+0.04b \\\\\\ 120+0.01b=0.04b\implies 120=0.03b\implies \cfrac{120}{0.03}=b\implies \boxed{4000=b}

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Write your own two equations that would have a solution of (3, 6).
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Answer:

y = 2x

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Step-by-step explanation:

Hi,

<u>y = 2x</u>

<u>6 = 2(3)</u>

<u>6 = 6</u>

<u>That's a solution</u>

<u>y = 3x - 3</u>

<u>6 = 3(3) - 3</u>

<u>6 = 9 - 3</u>

<u>6 = 6</u>

<u>That's a solution</u>

Hope this helps :)

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3 years ago
How to solve the equation
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Answer:

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Step-by-step explanation:

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2 years ago
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2 years ago
There is a mound of g pounds of gravel in a quarry. Throughout the day, 300 pounds of gravel are added to the mound. Two orders
galina1969 [7]

Answer:

g+300-700-700=1500, g=2600

Step-by-step explanation:

At the start of the day there are g pounds of gravel in the quarry.

Then it says that there were 300 pounds added to the mound, so at this point the pounds of gravel in the mound are now g+300.

Then two orders of 700 pounds are sold and removed from the mound. That means they removed 700 pounds from the mound 2 times. Therefore at this point the pounds of gravel in the mound are now g+300-700-700.

Then it says that at this point, the amount of pounds in the mound are 1500.  Hence we get

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To solve for g we just add 700 two times to both sides of the equation, and subtract 300 from both sides of the equation, getting:

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3 years ago
Negate the conditional statement.
Tpy6a [65]

(not <em>a</em> or not <em>b</em>) implies <em>c</em>   <==>   not (not <em>a</em> or not <em>b</em>) or <em>c</em>

so negating gives

not [(not <em>a</em> or not <em>b</em>) implies <em>c</em>]   <==>   not[ not (not <em>a</em> or not <em>b</em>) or <em>c</em>]

which we can simplify somewhat to

not (not (not <em>a</em> or not <em>b</em>)) and not <em>c</em>

(not <em>a</em> or not <em>b</em>) and not <em>c</em>

(not <em>a</em> and not <em>c</em>) or (not <em>b</em> and not <em>c</em>)

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