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3 years ago

Find the amount of interest on $35,000 at 9.72% compounded monthly for 32 months

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

4 0

9514 1404 393

Answer:

$10,308.92 interest earned

Step-by-step explanation:

The account balance is given by ...

A = P(1 +r/12)^n

where principal P earns interest at annual rate r compounded monthly for n months. In this case, the balance would be ...

A = $35,000(1 +0.0972/12)^32 = $45,308.92

The interest earned is the excess of the balance over the original investment:

interest = $45,308.92 -35,000 = $10,308.92

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A sales analyst listed the probabilities of profits and losses in dollars for a certain company. Find the mean for the probabili

kakasveta [241]

Answer: The mean for the probability distribution will be 69.25.

Explanation:

Since we given that

$At\ x_1= -500 ,P(x) = 0.076\\$

$At\ x_2= -250,P(x)= 0.191\\$

$At\ x_3=0, P(x)= 0.265\\$

$At\ x_4=250 , P(x)= 0.316\\$

$At\ x_5=500 , P(x)= 0.152\\$

As we know the formula for expectation of x i.e. known as mean for the probability distribution,

$E(x)=x\sum_{1}^{5} P(x)$

So, we apply this formula in our case,

$-500\times 0.076+(-250)\times 0.191+0\times 0.265+250\times 0.316+500\times 0.512=69.25$

$\mu = 69.25$

Hence, the mean for the probability distribution will be 69.25.

4 0

3 years ago

Read 2 more answers

The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters.”

balandron [24]

Example of use of terms:
Statement: If it is far, we take a bus.
Inverse: If it is not far, we do not take a bus.
Converse: If we take a bus, it is far.
Contrapositive: If we do not take a bus, it is not far.

We also know that
1. The inverse of the inverse is the statement itself, and similarly for converse and contrapositive.
2. Only the contrapositive is logically equivalent to the original statement.
This means that the converse and inverse are logically different from the original statement.

Now back to the given statement.
To find the original statement, we find the contrapositive of the contrapositive.
We then find the converse from the original statement, as in the example above.

Original statement
(note that in English, if it is not worth X dollars, means if it is not worth AT LEAST X dollars")
contrapositive of
<span>
"If an item is not worth five dimes, then it is not worth two quarters.”
is the negation of the converse, which become
"If an item is worth two quarters, then it is worth (at least) five dimes."

The converse of the previous statement is therefore
"If an item is worth (at least) five dimes then it is worth two quarters"

In this particular case, we can also take advantage of the fact that the contrapositive is the negation of the converse. So all we have to do is the provide the negation of each component of the contrapositive to get the converse:
"If an item is worth (at least) five dimes, then it is worth two quarters".
as before.

Note that the converse does NOT logically mean the same as the original statement.

</span>

6 0

2 years ago

the corresponding side of two rectangular swimming pools are 66 feet and 44 feet if the perimeter of the larger pool is 198 feet

morpeh [17]

Add them together p= a+b=c

5 0

3 years ago

a sequence starts a 200 and 30 is subtracted each time 200,170,140 what are the first two numbers in the sequence that are kess

Snowcat [4.5K]

<h3>Answer: -10 and -40</h3>

===============================================================

Explanation:

a = 200 = first term

d = -30 = common difference

Tn = nth term

Tn = a + d(n-1)

Tn = 200 + (-30)(n-1)

Tn = 200 - 30n + 30

Tn = -30n + 230

Set Tn less than 0 and isolate n

Tn < 0

-30n + 230 < 0

230 < 30n

30n > 230

n > 230/30

n > 7.667 approximately

Rounding up to the nearest whole number gets us $n \ge 8$

So Tn starts to turn negative when n = 8

We can see that,

Tn = -30n + 230

T7 = -30*7 + 230

T7 = 20

and

Tn = -30n + 230

T8 = -30*8 + 230

T8 = -10 is the 8th term

and lastly

Tn = -30n + 230

T9 = -30*9 + 230

T9 = -40 is the ninth term

Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.

5 0

3 years ago

Read 2 more answers

For a certain commodity the supply equation is given by S = 2p + 5 At a price of $1, there is a demand for 19 units of the commo

slava [35]

Answer:

The demand equation is: D=-4p+23

Step-by-step explanation:

To get started, we should keep in mind that the market price (p=3) occurs when supply equals demand ,therefore when p=3

S=2(3)+5=11

Thus, when p=3 D=11 and, according to the problem when p=1 D=19.

We already know two points on the demand curve. Great!

The demand equation is linear, so it has form D=bp+c.

The variable b is the slope of the demand linear equation . It can be computed through the formula

$b=\frac{y2-y1}{x2-x1}$ . equation 1

Substituting the two points (3,11) and (1,19) on equation 1.

$b=\frac{19-11}{1-3} =\frac{8}{-2}$

b=-4

Now we can find the value of intercept of the demand equation c trough point-slope form y-y1=b(x-x1).

We can use any of the points. Let's take (3,11) and write in point-slope :

y-11=-4(x-3)

y=-4x+11+12

y=-4x+23

Rewrite the linear equation according our variables D and p

D=-4P+23

Finally we found the demand equation !

5 0

3 years ago