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brilliants [131]

2 years ago

14

2. Ella invests $2,000 in an account that pays a 4% annual interest rate, compounded continuously. What is the value of her acco

unt after 5 years? Round your answer to the nearest dollar . Show your work.

1 answer:

Mademuasel [1]2 years ago

7 0

Answer: $2,442

Step-by-step explanation:

P=2000

r= 4%= 4/100= 0.04

t= 5 years

A is therefore 2000e0.04(5)

=2000e0.2

=$2,442.8

To the nearest dollar will give $2,442

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Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of ________

lora16 [44]

Answer: To find the average rate of change, evaluate the function at the given points.

Evaluate the difference of the function at the given points.

Divide the difference of the function at the given points with the difference of the given points.

Step-by-step explanation:

The Average of rate is -1.

Everytime it goes up by one the y goes down by 1 so it would be -1.

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1 year ago

You have a net lease for $350 per month. You are responsible for the taxes, which are $6,000 per year. What is your monthly rent

schepotkina [342]

B or C???? I think not really sure

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2 years ago

a child starts a piggy bank with $2. each day, the child receives 25 cents at the end of the day and puts it in the bank. if A r

Troyanec [42]

For a given function f(x), the domain is the set of possible values of x that we can use and the range is the set of the possible values of f(x).

For both points we will find that the answer is:

"We only can evaluate the function with integer values of d."

a) Here we have the function:

A(d) = 2 + 0.25*d

The first thing we want to answer is:

"explain why the domain does not contain the value d=2.5 "

We know that at the end of each day the kids get's the $0.25, so at d= 2.5 there two days and a half, and because only 2 nights passed, at this moment the kid only got the money two times.

So for d = 2.1

d = 2.5

d = 2.7

etc

We would get the exact same total money, thus we only can evaluate the function with integer values of d.

b) Why the range does not include the value A = $3.10?

Remember that d can only be an integer number.

Now let's solve:

A(d) = 3.10 = 2 + 0.25*d

3.10 - 2 = 0.25*d

1.10 = 0.25*d

1.10/0.25 = d = 4.4

So we only can get A = $3.10 if d = 4.4, and remember that d only can be a whole number, this is why the range does not include the value $3.10

If you want to learn more, you can read:

brainly.com/question/1632425

8 0

1 year ago

Which composition of transformations maps figure RSTUV to figure R"S"T"U"V"?

Sergeu [11.5K]

Answer:

option: B is correct

A reflection across line n followed by a 270° rotation about point P.

Step-by-step explanation:

Clearly from the figure we could see that the graph is first reflected across the given line n such that we obtain the figure R'S'T'V'U' and then it is rotated 270° across the point P so that we obtain the figure R"S"T"U"V".

Hence, option B is correct.

( A reflection across line n followed by a 270° rotation about point P )

5 0

2 years ago

Read 2 more answers

Point b has coordinates (3,-4) and lies on the circle whose equation is x^2 + y^2= 25. If angle is drawn in a standard position

lakkis [162]

<span>Point B has coordinates (3,-4) and lies on the circle. Draw the perpendiculars from point B to the x-axis and y-axis. Denote the points of intersection with x-axis A and with y-axis C. Consider the right triangle ABO (O is the origin), by tha conditions data: AB=4 and AO=3, then by Pythagorean theorem:
</span>
<span> $BO^2=AO^2+AB^2 \\ BO^2=3^2+4^2 \\ BO^2=9+16 \\ BO^2=25 \\ BO=5$ .
</span>
{Note, that BO is a radius of circle and it wasn't necessarily to use Pythagorean theorem to find BO}
<span>The sine of the angle BOA is</span>
$\sin \angle BOA= \dfrac{AB}{BO} = \dfrac{4}{5} =0.8$

Since point B is placed in the IV quadrant, the sine of the angle that is <span> drawn in a standard position with its terminal ray will be </span>
<span /><span>
</span><span>
</span> $\sin \theta=-0.8$ .

3 0

2 years ago