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Over three days I earn 2568. On the first day I made twice as much as the second day. On the third day I made three times as much as the second day. How much did I earn on the first day.

Answers

Answer 1

Answer:

Answer:

I earned $856 on the first day

Step-by-step explanation:

Let's call

x = earning on the second day

2x = earnings on the first day

3x = earnings on the third day

The total earnings are $2568, thus

x + 2x + 3x = 2568

Simplifying:

6x = 2568

Dividing by 6:

x = 2568/6

x = 428

I earned $428 on the second day.

2x = 2*$428 = $856

I earned $856 on the first day

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How long will it take for a sum of $800 attracting simple interest to become $830 if the rate is 9%? Compute the return on this investment.

Answers

Answer:

5 months

ROI = 3.75 %

Step-by-step explanation:

Since,

The simple interest formula,

$I=P* r* t$

Where,

P = Principal amount,

r = rate per period ( in decimal )

t = number of periods,

Here, P = 800, r = 9% = 0.09,

If A is the future amount,

We have, A = 830

I = A - P = 830 - 800 = 30

By substituting the values in the above formula,

$30=800* 0.09* t$

$30=72t$

$\implies t =(30)/(72)=(5)/(12)$

Hence, it will take 5 months. ( 1 year = 12 months )

Now,

$\text{Return on investment }=(I)/(P)* 100$

$=(30)/(800)* 100$

$=3.75\%$

10 POINTS Solve for x:
2x-7=5x+13

x = -20/3
x = -7
x = 22/3

Answers

The answer is X= -20/3 :)

Subtract 2x to both sides and subtract 13 from both sides

-20 = 3x

Divide 3 from both sides to isolate x

-20/3=x

First do 5x - 2x and you get 3x.
Now the equation is -7 = 3x + 13.
Next do -7 - 13 and you get -20.
The final step is to do -20 divided by 3 and you get -20/3.

The answer is x = -20/3

Please solve it as fast as possible

Answers

here’s the answer, i hope this helped!

When designing and writting questions for a survey , which of the following are issues that you need to pay attention to?A. Wording of questions
B. Order of questions
C. Sensitive questions
D. All of the above

Answers

Answer:A

Step-by-step explanation:

Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t. a=16, v(0) = -14, s(0) = -8

Answers

Answer:

The position at time t is $s(t) = 8t^2 - 14t -8$

Step-by-step explanation:

From the question we are told that

The acceleration is $a = 16$

The velocity at t = 0 is $v(0) = -14$

The position at time t = 0 is $s(0) = -8$

Generally acceleration is mathematically represented as

$a(t) = (d v)/(dt )$

=> $(dv)/(dt) = 16$

=> $dv = 16 dt$

integrating both sides we have

$\int\limits dv = \int\limits16 dt$

=> $v(t) = 16 t + c$

Now at t = 0

$v(0) = 16 * 0 +c = -14$

=> $c = -14$

$v(t) = 16 t -14$

Generally the position of the body is mathematically represented as

$s(t) = \int\limits v(t)dt$

$s(t) = \int\limits 16t - 14 dt$

$s(t) = 16 (t^2)/(2) - 14t + C$

Now at t = 0

$s(0) = 16 (0^2)/(2) - 14(0) + C = -8$

=> $C = -8$

$s(t) = 8t^2 - 14t -8$

Final answer:

The position of the body at time t, given an acceleration of 16 m/s², an initial velocity of -14 m/s and an initial position of -8 m, is given by the equation s(t) = -8 - 14t + 8t².

Explanation:

In your problem, you're asked to find the body's position at time t given its acceleration, initial velocity, and initial position. We can do this by utilizing basic kinematics, specifically the equation for position under constant acceleration. This equation is: s(t) = s(0) + v(0)t + 0.5at².

Substituting the given values into the formula, we get s(t) = -8 + -14t + 0.5*16t².

This is the equation for the body's position at time t. It can be simplified further by multiplying the terms inside, leading to s(t) = -8 - 14t + 8t².

Therefore, given an acceleration of 16 m/s², an initial velocity of -14 m/s and an initial position of -8 m, the position of the body at time t can be described by the equation s(t) = -8 - 14t + 8t².

Learn more about Kinematics here:

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How do you do this 6-2x=10

Answers

-2x=10-6

The answer: x= -2

Answer:

x= -2

Step-by-step explanation: (remember the 6 in this equation is positive so you'll subtract it and the 2 is actually -2x. First, you'll subtract 6 from itself and 10, the two 6's cancel out and 10-6=4. Then, you'll divide -2 and 4 by -2, the two -2's cancel out and 4 divided by -2 is -2. Finally, you'll see that x = -2. This is all done by the order of operations also known as PEMDAS. )

6 - 2x =10

-6 -6

-----------------

-2x = 4

------------

-2 = -2

x = -2

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