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anyanavicka [17]
3 years ago
9

PLEASE HELP 30 POINTS DONT HAVE TO SHOW WORK 3 ATTACHMENTS PLEASE ANSWER ALL

Mathematics
1 answer:
Eva8 [605]3 years ago
4 0
First one answer is C.
log3(1/81) = -4

-------------
log(45) / log(2) = 5.4919

answer
A. 5.4919
--------------------
next step
x - 1 = 3x+9
2x - 10
x = -5

answer
D. x - 1 = 3x+9

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Present Value Hoew much shuold be deposited in an account paying 7.2% interest compounded monthly in order to have a balance of
jonny [76]

Answer:$6451.6 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.2%. So

r = 7.2/100 = 0.072

It was compounded for 3 years. So

t = 3

The formula for compound interest is

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

A = total amount in the account at the end of t years. A is given as $8000 Therefore,

8000 = P (1+0.072/12)^12×3

8000 = P(1+0.006)^36

8000 = P(1.006)^36

P = 8000/1.24

P = $6451.6

6 0
3 years ago
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem
wariber [46]

Answer:

In order to calculate the expected value we can use the following formula:  

E(X)=\sum_{i=1}^n X_i P(X_i)  

And if we use the values obtained we got:  

E(X)=(1060*0.5) +(1400*0.1) +(1620*0.4)=1318  

Step-by-step explanation:

Let X the random variable that represent the number of admisions at the universit, and we have this probability distribution given:

X        1060   1400    1620

P(X)     0.5      0.1        0.4

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.  

In order to calculate the expected value we can use the following formula:  

E(X)=\sum_{i=1}^n X_i P(X_i)  

And if we use the values obtained we got:  

E(X)=(1060*0.5) +(1400*0.1) +(1620*0.4)=1318  

3 0
2 years ago
Please answer with proof/work I give points
Phoenix [80]

Answer:

H. 8.874 hours

Step-by-step explanation:

There is a seven, that has the value of 7/100. 7/100 as a decimal is .07 because there is a 7 in the hundredths place. There has to be a number that contains 7/100, or a value in the hundredths place, and that is 8.874.

Hope this helps!

3 0
2 years ago
Read 2 more answers
What is the constant of proportionality for y=-5x ?
Firlakuza [10]

a constant of proportionality is a number you have to multiply x by to get y.

y=kx is the equation that expresses the proportionality of x and y

the constant of proportionality is k, so k=-5


5 0
3 years ago
Identify what Number property is shown for each statement
Alecsey [184]

i think answer are big enough

8 0
2 years ago
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