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4 years ago

What are the rate of growth or decay, r, and the initial amount, A?

1 answer:

8 0

Exponential word problems almost always work off the growth/decay formula, A = Pert, where "A" is the ending amount of whatever you're dealing with (money, bacteria growing in a petri dish, radioactive decay of an element highlighting your X-ray), "P" is the beginning amount of that same "whatever", "r" is the growth

Read more about probability at:

brainly.com/question/15246027

#SPJ1

5 0

2 years ago

The figure shows the construction steps to bisect an angle. The steps are in an incorrect order. What is the correct order of th

klemol [59]

Answer:

The correct order of the steps is CEABD ⇒ B

Step-by-step explanation:

Let us arrange the figures

To construct a bisector of an angle

First: Draw angle AOB

First step is figure C

Second: Place the pin of the compass on point O and draw an arc intersects the two sides of the angle OA and OB at points D and E

Second step is figure E

Third: Place the compass on point D and draw an arc in the interior of the angle

Third step is figure A

Fourth: without change the open of the compass place its pin on point E and draw an arc which intersects the arc drawn from point D at point C

Fourth step is figure B

Fifth: Draw a line from point A to point C, this line AC is the bisector of angle AOB

Fifth step is figure D

The correct order of the steps is CEABD

6 0

4 years ago

Justin is saving money for a new gaming console. He currently has $200 in a saving account and each week $10 to his balance. In

Nikitich [7]

$500 - $200 = $300 dollars left.

$300 divided by $10 = 30 weeks.

8 0

3 years ago

Complete the square to rewrite y-x^2-6x+14 in vertex form. then state whether the vertex is a maximum or minimum and give its co

ycow [4]

Answer:

$y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2$

And solving we have:

$y= x^2 -6x +9 + 14 -9$

$y= (x-3)^2 +5$

And we can write the expression like this:

$y-5 = (x-3)^2$

The vertex for this case would be:

$V= (3,5)$

And the minimum for the function would be 3 and there is no maximum value for the function

Step-by-step explanation:

For this case we have the following equation given:

$y= x^2 -6x +14$

We can complete the square like this:

$y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2$

And solving we have:

$y= x^2 -6x +9 + 14 -9$

$y= (x-3)^2 +5$

And we can write the expression like this:

$y-5 = (x-3)^2$

The vertex for this case would be:

$V= (3,5)$

And the minimum for the function would be 3 and there is no maximum value for the function

4 0

4 years ago

Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until

alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

Month 0 (first payment)

$250

Month 1

$250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})$

Month 2

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)$

Month 3

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)$

Month 24 (2 years)

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})$

The sum

$1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}$

is the sum of the first 24 terms of a geometric sequence with common ratio $\frac{12.04}{12}$ which is

$\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071$

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0

3 years ago