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3 years ago

What what is the instantaneous velocity of the caterpillar at time t=6

1 answer:

6 0

This problem is in Khan Academy

In this graph the instantaneous velocity=decline.
You just have to do this:

And the answer is letter (A)

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A farmer sold 3/5 of his oranges to a first customer and 90 oranges to a second customer. How many oranges did he have altogethe

enyata [817]

Answer:

He had 225 oranges to start with

6 0

3 years ago

A newspaper editor starts a retirement savings plan in which $225 per month is deposited at the beginning of each month into an

qwelly [4]

Answer: the value of this investment after 20 years is $112295.2

Step-by-step explanation:

We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as

S = R[{(1 + r)^n - 1)}/r][1 + r]

Where

S represents the future value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n represents the total number of payments made.

From the information given,

Since there are 12 months in a year, then

r = 0.066/12 = 0.0055

n = 12 × 20 = 240

R = $225

Therefore,

S = 225[{(1 + 0.0055)^240 - 1)}/0.0055][1 + 0.0055]

S = 225[{(1.0055)^240 - 1)}/0.0055][1.0055]

S = 225[{(3.73 - 1)}/0.0055][1.0055]

S = 225[{(2.73)}/0.0055][1.0055]

S = 225[496.36][1.0055]

S = $112295.2

7 0

4 years ago

Suppose f(x) = 2x-1 and g (x) = x + 1/a. Which value(s) of a would make the composite functions commutative? A. 0 B. 2 C. any va

Tamiku [17]

Answer:

Step-by-step explanation:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x

So, 2( $\frac{x+1}{a}$ ) - 1 = $\frac{(2x-1)+1}{a}$

If you multiply both sides by a, you get 2a( $\frac{x+1}{a}$ ) - a = (2x-1)+1

Simplify it 2a( $\frac{x+1}{a}$ ) - a = 2x

Add a to both sides 2a( $\frac{x+1}{a}$ ) = 2x +a

The two as on the left cancel out 2(x+1)=2x+a

Distribute the 2 2x+2=2x+a

Then subtract 2x from both sides 2 = a

Therefore, a = 2

Hope this helps!

8 0

3 years ago

Read 2 more answers

If two lines are parallel and one has a slope of 1/6, what is the slop of the other linr?

Oksanka [162]

Parallel lines have the same slope, so the slope of the other line is also 1/6

8 0

3 years ago

The x-coordinate of point P is positive, and the y-coordinate of point P is negative. In which quadrant is point P?

Naddika [18.5K]

ANSWER

Quadrant IV

EXPLANATION

The given point have the x-coordinate to be positive and the y-coordinate to be negative.

In general, the point P(x,-y) lies in the fourth quadrant.

The reason is that, this quadrant contains the positive x-axis and the negative y-axis.

See attachment for diagram.

8 0

4 years ago