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Karolina [17]
3 years ago
11

3.

Mathematics
1 answer:
irina1246 [14]3 years ago
5 0
3)
Principal Amount = P = $7200
Interest rate = r = 4% = 0.04
Time = t = 8 years

Formula for compounding is:

A=P (1+r)^{t}

Using the values, we get:

A=7200 (1+0.04)^{8}=9853.70

Therefore, the compounded amount will be $9853.70 

4)
Principal Amount = P = $7200
Compounded Amount = A = $9853.70

Interest Earned = Compounded Amount - Principal Amount
So,
Interest Earned = 9853.70 - 7200 = $2653.70

Therefore, $2653.70 will be earned as interest over a period of 8 years.
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Help ASAP please
Nataly [62]

Answer:

a) volume = 321.55 in³

Step-by-step explanation:

volume = 4/3πr³ = 4/3(3.14)4.25³) = 321.55 in³

7 0
3 years ago
A company establishes a fund of 120 from which it wants to pay an amount,C, to any of its 20 employees who achieve a high-perfor
Leno4ka [110]

Answer:

C=120/2=60

Step by step Explanation'

To solve this problem, we will need to apply trial-and-error calculation with the binomial distribution, even though it appears like Central Limit Theorem but it's not.

For us to know the value of C , we will look for a minimum integer such that having 'n' number of high performance level of employee has the probability below 0.01.

Determine the maximum value of C, then the maximum value that C can have is 120/n

Let us represent X as the number of employees with high performance with a binomial distribution of

P =0.02( since the percentage of chance of achieving a high performance level is 2%)

n = 20 ( number of employees who achieve a high performance level)

The probability of X= 0 can be calculated

P( X= 0) = 0.98^n

P(X=0)=0.98^20

P(X=0)=0.668

P(X=1)=0.02*20*0.98^19

P(X=1)=0.272

P(X=2)=0.02^2*20*0.98^18

P(X=2)=0.053

Summation of P( X= 0)+ P( X= 1)+P( X= 2) will give us the value of 0.993 which is greater than 0.99( 1% that the fund will be inadequate to cover all payments for high performance.)

BUT the summation of P( X= 0)+ P( X= 1) will give the value of 0.94 which doesn't exceed the 0.99 value,

Therefore, the minimum value of integer in such a way that P(X >2) is less than 0.01 have n= 2

then the maximum value that C can have is 120/n

C=120/2=60

7 0
4 years ago
What is the value of the expression (3/7)(-2/5 •9/11)
Alex787 [66]

The answer is 54/385, or 0.14025974025974.

Hope this helps!

7 0
3 years ago
To the nearest tenth of a degree, find the sizes of the acute angles in the 7-24-25 right
fiasKO [112]
First of all, just to avoid being snookered by a trick question, we should verify that these are really right triangles:

7² + 24² really is 25² , and 8² + 15² really is 17² , so we're OK there.

In the first one:
sin(one acute angle) = 7/25 = 0.28
the angle = sin⁻¹ (0.28)  =  16.26°
the other acute angle = (90° - 16.26°)  = 73.74° 

In the second one:
sin(one acute angle) = 8/17 = 0.4706...
the angle = sin⁻¹  (0.4706...)  =  28.07°
the other acute angle =  (90° - 28.07°) = 61.93°


I'm sorry, but just now, I don't know how to do the 
third triangle in the question.
7 0
4 years ago
Solve The Following <br> ( Solving equations)
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2 years ago
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