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sergeinik [125]
2 years ago
13

Jenna borrowed $5,000 for 3 years and had to pay $1,350

Mathematics
1 answer:
kobusy [5.1K]2 years ago
5 0

Answer:

0.09 or 9%

Step-by-step explanation:

Formula:

I = Prt

r = I/(Pt)

Given:

I = 1350

P = 5000

t = 3

Finding r:

r = I/(Pt)

r = 1350/(5000 x 3)

r = 1350/15000

r = 0.09

0.09 or 9%

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Please answer these questions!!!!!! Fast!!!!!!
vodka [1.7K]

Answer:

For an object of mass M and velocity V, the kinetic energy is written as:

K = (M/2)*V^2

And also remember that:

1 J = 1 kg*m/s

a) we know that:

Mass = M = 0.7 kg

Velocity = V = 60 m/s

Then the kinetic energy is:

K = (0.7kg/2)*(60m/s)^2 = 1,260 J

b) We know that in a closed system, the energy is conserved.

This means that if we hit an object with an energy E, the maximum energy that we can give to that object is E.

Then if we have a bat of mass M = 2kg, and velocity V = 30m/s

The kinetic energy of the bat (before hitting the ball) is:

K = (2kg/2)*(30m/s)^2 = 900 J

Obviously, this will never happen, because after we hit the ball the bat keeps moving for a bit, meaning that it still has some kinetic energy and it did not transfer all of the kinetic energy to the ball. But we can not have a more precise estimation, because we do not know the mass of the ball and a lot of other needed information, so we can conclude that, the theoretical maximum energy that could be given to the ball, is 900 J.

c) Here we have:

Mass = M = 1950 kg

Velocity = V = 10 m/s

then the energy is:

K = (1950kg/2)*(10 m/s)^2 = 97,500 J.

d) Notice that in the equation of the kinetic energy we have the velocity squared, which means that the contribution of the velocity is larger than the contribution of the mass.

Then the option with the largest velocity most likely would have the largest kinetic energy, then the correct option is the second counting from the top, with a kinetic energy equal to:

K = (0.25 kg/2)*(50m/s)^2 = 312.5 J.

5 0
3 years ago
Given the recursive formula:<br> a1=3<br> An=2(an-1+1)<br> Find a2 a3 a4
fenix001 [56]

Answer:

a_2 = 8

a_3 = 18

a_4 = 38

Step-by-step explanation:

We are given the following recursive formula:

a_n = 2(a_{n-1}+1)

And consider a_1 = 3

a2

a_2 = 2(a_1 + 1) = 2(3 + 1) = 8

a3

a_3 = 2(a_2 + 1) = 2(8 + 1) = 18

a4

a_4 = 2(a_3 + 1) = 2(18 + 1) = 38

6 0
3 years ago
The distance from the Earth to Saturn averages 886 million (886,000,000) miles. Write this number in scientific notation.
kiruha [24]

Answer:

8.86 x 10^8

Step-by-step explanation:

Scientific notation means that you represent the standard form of a number like this:

number less than ten x 10 to the ___ power

In standard form, the decimal point is at the end of 886,000,000.

You have to move the decimal point to the left until it creates a number less than 10, but greater than 1:

8.86,000,000

You count how many decimal places you moved it. In this case, it is 8.

So your answer becomes 8.86 x 10^8

7 0
2 years ago
Calculate the (modeled) probability P(E) using the given information, assuming that all outcomes are equally likely.
Luba_88 [7]

The probability P(E) is 13/15.

According to the statement

we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}

And we have to find the probability P(E).

So, For this purpose

Recall the formula for the probability of an event E in case when all outcomes are equally likely:

P(E)= n(E) /n(S)

in which S is the sample space.

But we have the S = {1, 3, 5, 7, 9},

so, n(S) = Sum of all outcomes / number of outcomes

n(S) = 1+3+5+7+9 /5

n(S) = 25 /5

n(S) = 5 and

For n(E) = Sum of all outcomes / number of outcomes

n(E) = 1+5+7 /3

n(E) = 13 /3

n(E) = 13 /3

Substitute these values in the above written formula then

P(E)= n(E) /n(S)

P(E)=  (13/3)/ 5

P(E)= 13 /15

So, The probability P(E) is 13/15.

Learn more about the PROBABILITY here brainly.com/question/25870256

#SPJ4

5 0
1 year ago
The nth term of a sequence is 3n squared - 1
Pavlova-9 [17]
A -2
B -5
I think I might be wrong
3 0
3 years ago
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