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Tamiku [17]
3 years ago
9

Kody made a deposit into an account that earns 4% annual compound interest. After 24 months, the value of his account was $2163.

20. What was the amount of Kodys initial deposit?
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0

Answer:

$1176.671

Step-by-step explanation:

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Louise completed the work shown below. (5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9 Determine if Louise’s answer is correct. Explain
Sergeu [11.5K]

Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.

10 0
3 years ago
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A line joins the point
Harrizon [31]

Intersection of the first two lines:

\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}

Multiply the first equation by 4 and the second by 5:

\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}

Subtract the two equations:

(20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1

Plug this value for y in one of the equation, for example the first:

5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1

So, the first point of intersection is (-1,-1)

We can find the intersection of the other two lines in the same way: we start with

\begin{cases}x=y\\x=3y+4\end{cases}

Use the fact that x and y are the same to rewrite the second equation as

x=3x+4 \iff 2x=-4 \iff x=-2

And since x and y are the same, the second point is (-2, -2)

So, we're looking for a line passing through (-1,-1) and (-2, -2). We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be y=x

In the attached figure, line 5x - 2y + 3 = 0 is light green, line 4x - 3y + 1 = 0 is dark green, and their intersection is point A.

Simiarly, line x=y is red, line x = 3y + 4 is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

5 0
3 years ago
Can y'all help me pls ​
guajiro [1.7K]

Answer:

The change in delta x would be 0 in the second option because the change is exactly the same.

8 0
3 years ago
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Bianca had a weekly allowance of $8.50 two years ago. Last year, her weekly allowance was $9.75. This year, Bianca's weekly allo
Natasha_Volkova [10]

Answer:

No

Step-by-step explanation:

In this particular scenario, based on the numbers I would say that it does not make sense to represent this with a constant rate. That is because in a span of three years the change between each year is completely different, for example, between the first and second year there was a change of

9.75 - 8.50 = 1.25 dollar change

1.25 / 8.50 = 0.147 or a 14.7% increase

Between the second and third year, there was a change of

12 - 9.75 = 2.25 dollar change

2.25 / 9.75 = 0.23 or 23% increase

Therefore, each year the percent and dollar value increase is increasing more and more which would not be a constant rate.

3 0
2 years ago
If bobby was born in 05 how old would he be
Alex_Xolod [135]
He would be 15 years old depending on his birthday if he has a late birthday he would be 14 years and if he had a early birthday he would be 16 years old
5 0
3 years ago
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