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ololo11 [35]
2 years ago
13

How much principal must be deposited in a 2 year simple interest account that pays 1.75% interest to earn $300 in interest?

Mathematics
1 answer:
ollegr [7]2 years ago
3 0

Answer:

Step-by-step explanation:

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What system of inequalities is represented by the graph?
yarga [219]
As shown in the figure, we have two straight line. One of them has a negative slope and the other has a positive one. In two dimensions, the equation for non-vertical lines is often given in the slope-intercept form by:

y=mx+b

being m the slope of the line and <span>b the y-intercept of it.

On the other hand, if x = 0 then y = b.

First of all we will order the equations above without </span>inequalities<span> like this:

A. </span>y = 5x-1, y = 3x+4
<span>B. </span>y = 5x-1, y = -3x+4
C. y = 5x+1, y = -3x+4
D. y = 5x-1, y = -3x-4<span>

 As shown in the figure b = -1 for one straight and b = 4 for the second one. This values take place when x = 0. So, we discard C and D, because if x = 0, then:
</span>
For C, b = 1 and b = 4
For D, b = -1 and b = -4

Let's analyze A and B. So:

For A, m = 5 and m = 3
For B, m = 5 and m = -3

Therefore, we discard A because of the statement above.

Finally the answer is B. So, the inequalities are:  

(1) y\ \textless \ 5x-1
(2) 3x+y \geq 4

Let's prove this answer. We will take the point (2, 0) that is in the region in gray. So, substituting this point in the inequalities, we have:

(1) 0\ \textless \ 9
(2) 6 \geq 4

In fact, this is true.


7 0
3 years ago
Describe how to solve the inequality 3x+4&lt;13 using algebra tiles
vladimir1956 [14]

The solution is x < 3.

Solution:

The given expression is 3x + 4 < 13.

To solve the given inequality.

3x + 4 < 13

Subtract 4 tiles on both sides of the inequality.

⇒ 3x + 4 – 4 < 13 – 4

⇒ 3x < 9

Divide by 3 tiles on both sides of the inequality.

⇒ \frac{3x}{3} =\frac{9}{3}

⇒ x < 3

Hence the solution is x < 3.

4 0
2 years ago
Tamara says she used the GCF to factor the expression 21x + 56xy as 7(3x + 8xy). Is she correct? Explain.
cestrela7 [59]

Answer:

Tamara  incorrectly factored the whole expression.

Step-by-step explanation:

Note that

  • 21x=3·7·x;
  • 56xy=2·2·2·7·x·y.

Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.

Thus,

21x+56xy=7x(3+8y).

Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.

6 0
3 years ago
What does x equal in the equation 40÷x=6
padilas [110]

Answer:

x = \frac{20}{3}

3 0
3 years ago
Read 2 more answers
Simplify the expression.<br><br><br><br> 9y^2−25/9y^2−30y+25
mezya [45]

Answer:

Step-by-step explanation:

56y^2/9-30y+25

4 0
2 years ago
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