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3 years ago

$10,000 is compound quarterly at 12% interest for t years. What expression represent the amount of money after t years

Mathematics

1 answer:

exis [7]3 years ago

5 0

X=10,000*1.12y that is the equation

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Find the length of AB

steposvetlana [31]

Answer:

17 units

Step-by-step explanation:

You can find the lenght of drawing a triangle and counting the x units and y units, thereby the AB would be the hypotenuse.

X units ( base ) = 15 units

Y units ( height ) = 8 units

AB = root of 8^2 + 15^2

AB = root of 289

AB = 17 units

Hope it helps :)

Mark it as brainliest answer pls :)

5 0

3 years ago

Find the slope of the tangent line to the curve f(x)=e^(x) at (0.4,1.49)

almond37 [142]

Answer:

1.49

Step-by-step explanation:

In order to find the slope of the tangent line to a given equation, and in a given point, we need to:

1. Find the first derivative of the given function.

2. Evaluate the first derivative function in the given point.

1. Let's find the first derivative of the given function:

The original function is $f(x)=e^{x}$

But remeber that the derivative of $e^{x}$ is $e^{x}$

so, $f'(x)=e^{x}$

2. Let's evaluate the first derivative function in the given point

The given point is (0.4,1.49) so:

$f'(x)=e^{x}$

$f'(0.4)=e^{0.4}$

$f'(x)=1.49$

Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.

8 0

3 years ago

A won a race at the local fair by running 10.5 miles in exactly 2 hours. At this constant rate, how long does it take the same

Luba_88 [7]

Answer:

The dog will run the 21-mile race in 4.04 hours

Step-by-step explanation:

The first thing we need to do is find out how far he ran the race at the local fair in 1 hour.

To do this, we can set up a simple relationship:

If he ran 10.5 miles in 2 hours,

He will run x miles in 1 hour

Cross multiplying, we have

x = (10.5 X 1)/2 = 5.25 miles in 1 hour.

We can now comfortably say that he runs at the rate of 5.2miles/hr

He now goes to the state fair race, which is 21 miles long.

if he runs at the rate of 5.2 miles in 1 hour,

He will run 21 miles in y hours

y = 21 / 5.2 = 4.04 hours

The dog will run the 21-mile race in 4.04 hours

3 0

3 years ago

15600=x (x+1)(x+2) What is x?

Andrew [12]

The answer is x = 24

4 0

3 years ago

Read 2 more answers

How do you tell whether the ratios form a proportion

valkas [14]

Set them up like this example:

4 8
_ = _

6 12

cross multiply by multiplying 4 by 12 and 6 by 8.
If they are equal then it is proportional.

3 0

3 years ago