Whats the geometric mean of 6 and 9

2+2=5 argue with me

MrRa [10]

Your a wierd person you already know its 4

4 0

4 years ago

*A number consisting of two digits is three times the sum of its digits. If 45 is added

stich3 [128]

Answer: The number is 27

The system of equations is: 7x - 2y = 0

-9x + 9y = 45

Step-by-step explanation:

Let x represent the number in the tens place and y represent the number in the ones place. x y

Then 10x + y = 3(x + y)

When the digits are reversed: 10y + x = 10x + y + 45

Simplify each of the above equations and then create a system of equations:

10x + y = 3x + 3y → 7x - 2y = 0

10y + x = 10x + y + 45 → -9x + 9y = 45

9( 7x - 2y = 0) → 63x - 18y = 0

2(-9x + 9y = 45) → -18x + 18y = 90

45x = 90

x = 2

Input x = 2 into either equation to solve for y:

7x - 2y = 0

7(2) - 2y = 0

14 = 2y

7 = y

8 0

3 years ago

Read 2 more answers

What is the average rate of change of f(X)=-6(2)^x from x=-1 to x=2

ololo11 [35]

Ok done. Thank to me:>

6 0

3 years ago

Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the fo

lakkis [162]

Answer:

c) A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

Step-by-step explanation:

Hi, well, let´s transform all this nominal rates into effective annual rates.

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

$r(E.week)=\frac{0.09265}{52} =0.00178173$

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

$r(e.a)=(1+r(e.week))^{52} -1$

$r(e.a)=(1+0.00178173)^{52} -1=0.09699$

Or 9.669% annual, which is less than 9.955%, so this one is sellected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

$r(E.month)=\frac{0.09442}{12} =0.00786833$

Or 0.786833% effective monthly, let´s turn it into a effective annual rate.

$r(e.a)=(1+r(e.month))^{12} -1$

$r(e.a)=(1+0.00786833)^{12} -1=0.09862$

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

$r(E.quarter)=\frac{0.09719}{4}=0.0242975$

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

$r(e.a)=(1+0.0242975)^{12} -1=0.10079$

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Best of Luck.

5 0

3 years ago

Read 2 more answers

A person invests 6500 dollars in a bank. The bank pays 7% interest compounded

Inessa [10]

Answer:

t=16.2 years

Step-by-step explanation:

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

A=$20100

P=$6500

r=7%=0.07

n=4

t=?

t=ln(A/P)/n {ln(1+r/n)}

=ln(20100/6500) / 4{ln(1+0.07/4)}

=ln(3.0923)/4{ln(1+0.0175)}

=ln(3.0923)/4{ln(1.0175)}

=1.1289/4(0.0174)

=1.1289/0.0696

=16.23

To the nearest tenth

t=16.2 years

6 0

3 years ago