Your gym membership costs $33 per month after an initial membership fee . you paid a total of $228 after 6 months.(a) write an equation that gives you the total cost related to the months of your gym membership
(b)find the total cost after 9 months?

Answers

Answer 1

Answer: So, what I did was multiply 33*6 and got 198 and then 228-198 to find out that the initial fee was 30 dollars. then multiply 33*9+30 to get a 9 month total cost of $327. Hope from here you are able to set up your equation now you have all the information needed :)

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0.09502 to 2 decimal places

Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

Answers

It's a geometric sequence.

$300, 150, 75,... \n \n a_1=300 \n r=(a_2)/(a_1)=(150)/(300)=(1)/(2) \n \n S_n=(a_1 (1-r^n))/(1-r) \n \Downarrow \n S_5=(300(1-((1)/(2))^5))/(1-(1)/(2))=(300(1-(1)/(32)))/((1)/(2))=(300 * (31)/(32))/((1)/(2))=(75 * (31)/(8))/((1)/(2))=((2325)/(8))/((1)/(2))=(2325)/(8) * 2= \n=(2325)/(4)=581 (1)/(4)=581.25$

The answer is 581.25.

we have that

$300 + 150 + 75 +...$

Let

$a1=300\n a2=150\n a3=75$

we know that

$(a2)/(a1) =(150)/(300) \n\n (a2)/(a1)=0.5 \n \n a2=a1*0.50$

$(a3)/(a2) =(75)/(150) \n\n (a3)/(a2)=0.5 \n \n a3=a2*0.50$

$a(n+1)=an*0.50$

Is a geometric sequence

Find the value of $a4$

$a(4)=a3*0.50$

$a(4)=75*0.50$

$a(4)=37.5$

Find the value of $a5$

$a(5)=a4*0.50$

$a(5)=37.5*0.50$

$a(5)=18.75$

Find $S5$

$S5=a1+a2+a3+a4+a5\n S5=300+150+75+37.5+18.75\n S5=581.25$

therefore

the answer is

$581.25$

Alternative Method

Applying the formula

$S_n=(a_1 (1-r^n))/(1-r) \n\na_1=300 \n r=(1)/(2)\n\n S_5=(300(1-((1)/(2))^5))/(1-(1)/(2))\n\n=(300(1-(1)/(32)))/((1)/(2))\n\n=(300 * (31)/(32))/((1)/(2))\n\n=(75 * (31)/(8))/((1)/(2))\n\n=((2325)/(8))/((1)/(2))\n\n=(2325)/(8) * 2\n\n=(2325)/(4)\n\n=581 (1)/(4)\n\n=581.25$

therefore

the answer is

$581.25$

Use the Quadratic Formula to solve

x²-13x+42=0

Answers

Answer:

x1=7,

x2=6

Step-by-step explanation:

x²-13x+42=0

a=1, b=-13, c=42

x1,2=(-b+-sqrt(b^2-4ac)) /2a

x1,2=(-(-13)+-sqrt((-13)^2-4*1*42))/2*1

x1,2=(13+-sqrt (169-168))/2

x1,2=(13+-sqrt(1))/2

x1,2=(13+-1)/2

x1=(13+1)/2, x2=(13-1)/2

x1=14/2, x2=12/2

x1=7, x2 =6

Suppose contact lenses cost $300 for a year’s supply or $30 for a month’s supply. Which is less expensive to order per year, paying for 12 months at one time or paying for 1 month at a time?(1 point) month(s) at a time

Answers

Answer: Buying them for the year- 300 dollars

Step-by-step explanation:

30 x 12 is equal to 360 dollars, which is more expensive than 300 dollars.

PLEASE HELP ASAP!! WILL MARK BRAINLIEST!!is the graph in the picture a function?

A. This is a function.
B. This cannot be determined from this graph.
C. This is not a function.

Answers

A. This is a function

Answer: A. This is a function

Step-by-step explanation:

As you see in the graph, the line rises and falls in the graph, in a function most of the times a line does this exact "movement" so the answer is A

The first term of a geometric series is 3, and the sum of the first term and the second term is 15. What is the sum of the first six terms?

Answers

Hello,

Ok, i have seen the mistake the answer is 4095.

$u_(1)=3\nu_(2)=?\nu_(1)+u_(2)=15==>u_(2)=15-3=12=4*3$
$u_(1)+u_(2)+...u_(6)=3+3*4^1+3*4^2+...+3*4^5\n=3*(1+4+4^2+4^3+...+4^5)=3*(4^6-1)/(4-1)=3*(4^6-1)/3=4095$

I need an answer to this "How many tickles does it take to make an octopus laugh