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2 years ago

Help please its my last one!

Mathematics

1 answer:

Elden [556K]2 years ago

5 0

Using compound interest, it is found that they must deposit $9,143.47 in order to have the desired amount.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

In which:

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

For this problem, the parameters are:

A(15) = 30000, r = 0.08, n = 4

Then we solve for P to find the initial deposit:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$30000 = P\left(1 + \frac{0.08}{4}\right)^{4 \times 15}$

$P = \frac{30000}{(1.02)^{60}}$

P = $9,143.47.

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Please help me I will give u brainlist !!!!

kolbaska11 [484]

Answer:

x = 12.17

Step-by-step explanation:

we use the tan function

$\tan \theta = \fra{opp}{ady}\\\\\tan(49) = \frac{14}{x}\\\\x=\frac{14}{\tan 49}\\\\x \approx 12.17$

5 0

3 years ago

The displacement of a particle from a reference point at any instant is given by s = 3 t 2 - 4 t + 5 , where s is in metres and

lina2011 [118]

The average velocity of the particle in the time interval between 3s and 5s is 20 ms⁻¹ and its instantaneous velocity at 4s is 20 ms⁻¹.

How to determine average velocity and instantaneous velocity?
Average velocity is defined as the body's overall displacement divided by its time of motion. While instantaneous velocity is defined as a body's speed at a certain instant in time, or its displacement at that instant. When the velocity is constant, average and instantaneous velocities will equalize at just one condition.
The definition of instantaneous velocity is the rate of change of position over a relatively brief time period (almost zero). Simply said, the speed of an object at that precise moment. The definition of instantaneous velocity is "The velocity of an item in motion at a certain point in time." The instantaneous velocity of an object may be equal to its standard velocity if it has uniform velocity.
Mathematically, average velocity = [s(t₂) - s(t₁)]/[t₂ - t₁]
Instantaneous velocity at time, t is = (ds/dt) at time = t

Given, the displacement for the particle is given by s = 3t² - 4t + 5
Time interval, t₁ = 5s and t₂ = 3s;
Using formula in literature, average velocity of the particle in the time interval between 3s and 5s is:
Average velocity = (s(5) - s(3))/(5 - 3) = (60 - 20)/2 = 20 ms⁻¹
Instantaneous velocity at t = 4 is ds/dt at that time-frame:
Now, v = ds/dt = 6t -4
Now, v(4) = 6(4) - 4 = 20 ms⁻¹
The average velocity of the particle in the time interval between 3s and 5s is 20 ms⁻¹ and its instantaneous velocity at 4s is 20 ms⁻¹.

To learn more about this, tap on the link below:
brainly.com/question/2234298

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3 0

1 year ago

The rate of a piece of gift paper is Rs.0.40 per paper. How many pieces of paper can we purchase for Rs.78.40?

svet-max [94.6K]

Dddfidididididididdidiiddiidididid

3 0

3 years ago

What is the result of rotating the triangle 90° counterclockwise around the point (2, -1)?

NARA [144]

Answer:

(0, 2) -> (-1, -3)

(1, 5) -> (-4, -2)

(3, 1) -> (0, 0)

Step-by-step explanation:

The general rule for a rotation 90° counterclockwise around the origin if you have a point (x, y) -> (-y, x). But since this isnt around the origin. You need to do a simple step before applying the rule.

To each point you want to rotate you need to substract the point that is the center of the rotation.

The points of the triangle are:

(0, 2)

(1, 5)

(3, 1)

Now you have to substract (2, -1) to each of them

(0, 2) - (2, -1) = (-2, 3)

(1, 5) - (2, -1) = (-1, 6)

(3, 1) - (2, -1) = (1, 2)

And with the new points you apply the rule for rotation (x,y) -> (-y,x)

(-2, 3) -> (-3, -2)

(-1, 6) -> (-6, -1)

(1, 2) -> (-2, 1)

And now you add the previously substracted point (center of rotation).

(-3, -2) + (2, -1) = (-1, -3)

(-6, -1) + (2, -1) = (-4, -2)

(-2, 1) + (2, -1 = (0, 0)

5 0

3 years ago

A bag contains 20 marbles of the same size that are blue, green, and red. The probability of picking a blue marble is 20%. The p

vredina [299]

Answer:

30% of picking a red marble, it is likely to occur.

Step-by-step explanation:

50% of green and 20% of blue. The most logical is to add to 100%. 50+20=70, 100-70=30. Thats the 30% of red. Since red is 10% than blue, it is likely to get a red marble.

3 0

3 years ago