?

logbase3(x)-logbase3(x-4)=2

8^(2x+1)=32

and

7^(6x-5)=15

Thank You!

I know the answer is (3x-1)/(x-2) but I don't know how to find the answer.

What would be the extraneous solution that you would obtain when you solve the given equation?

log(base6) (x) + log(base6) (x +1) = 1

a) 3 b) -2 c) 2 d) -3 e) There would be no extraneous solutions

A certain business has implemented a new incentive plan whereby an employee earns tokens for every sale they make.

For 1 sale, an employee earns 1 token.

For 2 sales, an employee earns 9 tokens.

For 3 sales, an employee earns 21 tokens.

For 4 sales, an employee earns 37 tokens.

Which recursive equation represents the pattern?

asubn = asub(n - 1) + 4n

asubn = asub(n - 1) + 4(n + 1)

asubn = asub(n - 1) + (n + 4)

asubn = asub(n - 1) + (n - 4)

Mia wants to deposit $6,486 into savings accounts at three different banks: Western Bank, 2nd State Bank, and Sure Bank. She will deposit five times as much into Western Bank as 2nd State Bank because they offer a higher interest rate. She also expects the Sure Bank deposit to be 15% of the total of the other two deposits. How much will Mia deposit into the Sure Bank savings account?

$4,700

$846

$940

$1,880

Thank you!

Matthew purchased a washer and dryer for $3,435 using an 18-month deferred payment plan with an interest rate of 21.87%. What is the balance after the deferment period if payments of $75 were made each month?

$4,754.60

$2,085

$3,404.60

$3,435.00

Chelly purchased a pool for $6,120 using a six-month deferred payment plan with an interest rate of 22.65%. She did not make any payments during the deferment period. What will Chelly's monthly payment be if she must pay off the pool within five years after the deferment period?

$559.79

$191.64

$102.00

$114.11

Zahra purchased an entertainment center for $5,154 using a 12-month deferred payment plan with an interest rate of 17.65%. She did not make any payments during the deferment period. What will the total cost of the entertainment center be if she must pay it off within three years after the deferment period?

$5,154.00

$10,605.12

$6,141.00

$7,953.84

Gad is graduating from college in six months, but he will need a loan in the amount of $8,375 for his last semester. He may either receive an unsubsidized Stafford Loan with an interest rate of 6.8%, compounded monthly, or his parents may get a PLUS Loan with an interest rate of 7.8%, compounded monthly. The Stafford Loan has a grace period of six months from the time of graduation. Which loan will have a higher balance at the time of repayment and by how much?

The Stafford Loan has a higher balance by $255.61.

The Stafford Loan has a higher balance by $564.69.

The PLUS Loan has a higher balance by $448.35.

The PLUS Loan has a higher balance by $89.53.

Marlin borrowed $825 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at least $85 from his paycheck each week. If x represents the number of weeks and y represents his debt, which linear inequality represents the amount of debt Marlin has remaining?

y ≥ $85x - $825

y ≤ $85x - $825

y ≥ $85x + $825

y ≤ $85x + $825

Thank You!

A rare bacterial culture is being grown in a lab. As the days progress, the cells multiply and grow.

After 1 day, there is only 1 cell.

After 2 days, there are 5 cells.

After 3 days, there are 14 cells.

After 4 days, there are 30 cells.

Which recursive equation represents the pattern?

an = asub(n - 1) + n

an = asub(n - 1) + n^2

an = asub(n - 1) + 2n

an = asub(n - 1) + n^3

A rare bacterial culture is being grown in a lab. As time passes, the cells multiply in a specific pattern.

After 1 day, there is only 1 cell.

After 2 days, there are 5 cells.

After 3 days, there are 11 cells.

After 4 days, there are 19 cells.

How many cells will there be after seven days?

A=60 degrees, a=9, c=10

Please help!

options are

a. 7/2

b. (7sqrt5)/15

c. (3sqrt5)/2

d. (2sqrt5)/15

options are

a. 7/2

b. (7sqrt5)/15

c. (3sqrt5)/2

d. (2sqrt5)/15

a. x=pi + 2npi

b. x=0 + 2npi

c. x=pi/2 + 2npi

d. x=3pi/2 + 2npi

a.cosx

b. sinx

c.-sinx

d. -cosx