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4 years ago

Anyone knows the answers with their explanations

Mathematics

1 answer:

r-ruslan [8.4K]4 years ago

8 0

Sorry that really confusing but i like your hand writing you did a really good job

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You deposited $800 into an account paying 4.5% interest compounded continuously. A. How much would be in the account in 5 years?

elena55 [62]

Answer:

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

A) From the information given,

P = $800

r = 4.5% = 4.5/100 = 0.045

t = 5 years

Therefore,

A = 800 x e^(0.045 x 5)

A = 800 x e^(0.225)

A = $1002

B) For it to double,

A = 2 × 800 = 1600

Therefore,

1600 = 800 x e^(0.045 x t)

1600/800 = e^(0.045t)

2 = e^(0.045t)

Taking ln of both sides, it becomes

Ln2 = 0.045t

0.693 = 0.045t

t = 0.693/0.045

t = 15.4 years

8 0

4 years ago

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

Levart [38]

The rule of the equation of the line is y=mx+b but since we don't have a B so it will be y=mx so in order to solve it you need to exchange the ordered pairs
X=4, y=3
so 3=m(4)
so the slope which is m
m=4 over 3 (4/3)

4 0

4 years ago

What are the coordinates of the vertex of the parabola with the equation y = x2 + 2x – 3?

Sonbull [250]

Answer:

A. (-1, -4)

Step-by-step explanation:

The vertex can be found by converting the equation from standard form to vertex form.

<h3>Vertex</h3>

Considering the x-terms, we have ...

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

where the coefficient of x is 2. Adding (and subtracting) the square of half that, we get ...

y = (x^2 +2x +(2/2)^2) -3 -(2/2)^2

y = (x +1)^2 -4

Compare this to the vertex form equation ...

y = a(x -h)^2 +k

which has vertex (h, k).

We see that h=-1 and k=-4. The vertex is (h, k) = (-1, -4).

On the attached graph, the vertex is the turning point, the minimum.

6 0

2 years ago

Please help meeeeeeeeee

NeX [460]

Answer:

see below

a = 0.66...

b = 0.73

c = 7/8

Step-by-step explanation:

The first two numbers, 0.73 and 0.667, are near the point that is halfway between 0.6 and 0.8. That halfway point is 0.7. The value 0.667 will be below (left) of the halfway point, so is point <em>a</em>. The value 0.73 will be above (right) of the halfway point, so is point <em>b</em>. The remaining value, 7/8, must be point <em>c</em>.

You may know that 7/8 = 0.875, so is nearly halfway between 0.8 and 1.

_____

The attached graph has the points color-coded.

_____

Of course you know that the overline in $0.\overline{6}$ indicates that digit repeats indefinitely. The value 0.667 is the number rounded to 3 decimal places.