8. An item is on sale for 50% off the regular price of $3.18. A customer buys one and gives the cashier $5.00. The cashier gives the customer

Answers

Answer 1
Answer: 3.18*.50=1.59
5.00-1.59= 3.41

The cashier will hand the customer $3.41 because the cost of the item after taking 50% off is $1.59 and the customer gave the cashier $5.00 the cashier must give the customer $3.41 in change.

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There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points)
Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)

Answers

Neighborhood A: 30 homes and increases by 20% per year
Neighborhood B: 45 homes and increases by 3 per year.

N.A = 30 (1.20)^t
N.B = 45 + 3(t)

t = 5

N.A = 30(1.20)^5 = 30(2.48832) = 74.65 or 75
N.B = 45 + 3(5) = 45 + 15 = 60

I’m on a timer I need help with this ASAP!!!!!!!!!!

Answers

I think 186 is the answer I believe sorry if wrong

4x – 4 – 3x > 13 – 7x – 1 + 8

Answers

If you would like to solve the inequation 4 * x - 4 - 3 * x > 13 - 7 * x - 1 + 8, you can do this using the following steps:

4 * x - 4 - 3 * x > 13 - 7 * x - 1 + 8
4 * x - 3 * x + 7 * x > 4 + 13 - 1 + 8
8 * x > 24      /8
x > 24/8
x > 3

The correct result would be x > 3.

70. Suppose that you currently have one credit card with a balance of $10,000 at an annual rate of 24.00% interest. You have stopped adding any additional charges to this card and are determined to pay off the balance. You have worked out the formula bbn = b0r n − R(1 + r+r2 +....+ r n−1), where b0 is the initial balance, bn is the balance after you have maden payments, r= 1 + i, wherei is the monthly interest rate, and R is the amount you are planning to pay each month.b. Explain why we can rewrite the given formula as bn= b0rn − R(1-rn/1-r).????????

Answers

Answer:

1+r+r^(2)+r^(3)+.....+r^(n-1) = (1-r^(n))/(1-r)

Step-by-step explanation:

Taking the succession:

1+r+r^(2)+r^(3)+.....+r^(n-1)

You can multiply and divide by 1-r without chaging the result:

(1-r)/(1-r) (1+r+r^(2)+r^(3)+.....+r^(n-1))

Distributing the upper part of the fraction you have:

(1)/(1-r) (1-r+r-r^(2)+r^(2)-r^(3)+r^(3)-r^(4)+.....+r^(n-1)-r^(n))

As can be seen all the intermediate members will be canceled by a same member with opposite sign, only (1-r^(n)) will be left so:

1+r+r^(2)+r^(3)+.....+r^(n-1) = (1-r^(n))/(1-r)

Solve
8 - (2x - 9) = 17-24

Answers

Answer:

x=12

Step-by-step explanation:

8-(2x-+9)=17-24

8-2x=17-24-9

8-2x=-7+-9

8-2x=-16

-2x=-16-8

-2x=-24

x=-24/-2

x=12

8-(2x-9)=17-24
8 - 2x -+9 = -7
-2x+17=-7
-17 -17
-2x = -24
/-2. /-2

x = 12

What is the length y? Round to the nearest tenth.

Answers

Answer:

  • y = 5.3

Step-by-step explanation:

It is assumed XYZ is a right triangle.

  • y/10 = sin 32°
  • y = 10 sin 32°
  • y = 5.3