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3 years ago

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You decide to take $400 out of your piggy bank at home and place it in the bank. If the reserve requirement is 5 percent, how mu

ch can your $400 increase the amount of money in the economy?

1 answer:

Bumek [7]3 years ago

7 0

You need $8.000 in the bank to reserve it

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Given the following sets.

laila [671]

B = {a, b, c, d}

C = {0, a, 2, b}

B ∪ C = {a, b, c, d, 0, 2}

<h3>Answer: E)</h3>

Everything from the set B and everything from the set C give to one set. Duplicated elements are written only once.

8 0

3 years ago

Read 2 more answers

The vertices of xyz are x(-3,-6), Y(21,-6), and z(21,4). What is the perimeter of the triangle

xxTIMURxx [149]

Note that this a right-angled triangle with the right angle at Y.

<span>Use coordinates of the point to find XY and YZ </span>

<span>XY = 21 - (-3) </span>

<span>= 24 </span>

<span>YZ = 4 - (-6) </span>

<span>= 10 </span>

<span>Use Pythagoras theorem to XZ </span>

<span>XZ = sqrt[24^2 + 10^2] </span>

<span>= 26 </span>

<span>Perimeter = 26 + 24 + 10 </span>

<span>= 60</span>

8 0

3 years ago

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Drag the tiles to the boxes to form correct pairs.<br> Match the pairs of equivalent expressions.

Rashid [163]

Answer:

The following pairs/results are matched:

$5\left(2t+1\right)+\left(-7t+28\right)$ = $3t+33$
$3\left(3t-4\right)-\left(2t+10\right)$ = $7t-22$

$\left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)$ = $\frac{16t}{3}-\frac{23}{5}$

$\left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right)$ = $-\frac{11}{4}t+36$

Step-by-step explanation:

Lets solve all the expressions to match the results.

$5\left(2t+1\right)+\left(-7t+28\right)$

<em>Solving the expression</em>

$5\left(2t+1\right)+\left(-7t+28\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$5\left(2t+1\right)-7t+28$

$10t+5-7t+28$

$3t+33$

Therefore, $5\left(2t+1\right)+\left(-7t+28\right)$ = $3t+33$

$3\left(3t-4\right)-\left(2t+10\right)$

<em>Solving the expression</em>

$3\left(3t-4\right)-\left(2t+10\right)$

$9t-12-\left(2t+10\right)$

$9t-12-2t-10$

$7t-22$

Therefore, $3\left(3t-4\right)-\left(2t+10\right)$ = $7t-22$

$\left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)$

<em>Solving the expression</em>

$\left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$4t-\frac{8}{5}-\left(3-\frac{4}{3}t\right)$

$4t-\frac{8}{5}-\left(-\frac{4t}{3}+3\right)$

$4t-\frac{8}{5}-3+\frac{4t}{3}$

As

$-3-\frac{8}{5}:\quad -\frac{23}{5}$ and $\frac{4t}{3}+4t:\quad \frac{16t}{3}$

So,

$4t-\frac{8}{5}-3+\frac{4t}{3}$ will become $\frac{16t}{3}-\frac{23}{5}$

Therefore, $\left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)$ = $\frac{16t}{3}-\frac{23}{5}$

$\left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right)$

<em>Solving the expression</em>

$\left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right)$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$-\frac{9}{2}t+3+\frac{7}{4}t+33$

$\mathrm{Group\:like\:terms}$

$\frac{9}{2}t+\frac{7}{4}t+3+33$

$\mathrm{Add\:similar\:elements:}\:-\frac{9}{2}t+\frac{7}{4}t=-\frac{11}{4}t$

$-\frac{11}{4}t+3+33$

$-\frac{11}{4}t+36$

Therefore, $\left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right)$ = $-\frac{11}{4}t+36$

Thus, the following pairs/results are matched:

$5\left(2t+1\right)+\left(-7t+28\right)$ = $3t+33$
$3\left(3t-4\right)-\left(2t+10\right)$ = $7t-22$

$\left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)$ = $\frac{16t}{3}-\frac{23}{5}$

$\left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right)$ = $-\frac{11}{4}t+36$

Keywords: algebraic expression

Learn more about algebraic expression from brainly.com/question/11336599

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5 0

3 years ago

Read 2 more answers

How to solve long division by using long division 711.9 divided by 8.4

harkovskaia [24]

Multiply both 711.9 and 8.4 by 10 which will remove the decimal point.
and make the calculation much more easier
the required answer would be 84.75

5 0

3 years ago

For the function defined by y = 1/x4, y varies inversely as what quantity

gregori [183]

ANSWER

y varies inversely as x exponent 4.

EXPLANATION

The inverse variation equation is given as:

$y = \frac{1}{ {x}^{4} }$

We can see that there is an inverse relation between the quantity y and x.

If the it were $y = \frac{1}{ {x}^2 }$ , we say y varies inversely as the square of x.

Hence for the given relation,the precise definition is that, y varies inversely as x exponent 4.

6 0

3 years ago