MATHEMATICS MIDDLE SCHOOL

1. A pair of Nike Air Jordan sneakers cost $139.99. There is a 35% off sale going on at Foot Locker. Sales tax is 8.125% in Orange County. Round your answers to the nearest cent and submit a numeric answer.-2-Find The Sale Price
-3-Find The Tax
-4-Find The Total
Separate Them by Number Please
(Show work too) Thank you

Answers

Answer 1

Answer:

Answer:

A pair of Nike Air Jordan sneakers cost $139.99.

There is a 35% off sale going on at Foot Locker.

=> Sale price = 139.99 - 139.99 x 35/100 = ~$90.99

Sales tax is 8.125% in Orange County.

=> The tax = 90.99 x 8.125/100 = ~$7.39

The total price is calculated by:

P = The sale price + The tax = 90.99 + 7.39 = ~$98.38

Hope this helps!

Answer 2

Answer:

Answer: Sale price before tax $90.99

Tax $7.39

Total after tax $98.38

Step-by-step explanation:

Sale price 139.99 x 0.65 = 90.99

Tax 90.99 x 8.125/100 = 7.39

Total 90.99 + 7.39 = 98.38

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How much must be deposited today into the following account in order to have $ 65,000 in 8 years for a down payment on a house? Assume no additional deposits are made.An account with annual compounding and an APR of 4%
$
nothing should be deposited today.
(Do not round until the final answer. Then round to the nearest cent as needed.)

Answers

Answer:

$\$47,494.86$

Step-by-step explanation:

we know that

The compound interest formula is equal to

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

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=8\ years\n A=\$65,000\n r=4\%=4/100=0.04\nn=1$

substitute in the formula above

$65,000=P(1+(0.04)/(1))^(1*8)$

$65,000=P(1.04)^(8)$

Solve for P

$P=65,000/(1.04)^(8)$

$P=\$47,494.86$

Final answer:

To have $65,000 in 8 years for a down payment on a house, nothing needs to be deposited today.

Explanation:

To find the amount that must be deposited today, we can use the formula for compound interest. The formula is given by:

A = P(1 + r/n)nt

Where:

A is the future value of the investment
P is the principal amount, or the initial deposit
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

We know that the future value (A) that we want is $65,000, the annual interest rate (r) is 4% or 0.04 (expressed as a decimal), the number of times interest is compounded (n) is 1 (since it's compounded annually), and the number of years (t) is 8. We need to find the principal amount (P).

Plugging the values into the formula, we can solve for P:

$65,000 = P(1 + 0.04/1)1 * 8

First, we simplify the fraction:

$65,000 = P(1 + 0.04)8

Next, we calculate the value inside the parentheses:

$65,000 = P(1.04)8

Finally, we solve for P by dividing both sides by (1.04)8:

P = $65,000 / (1.04)8

Using a calculator, we find that P ≈ $49,207.75. Therefore, to have $65,000 in 8 years for a down payment on a house, nothing needs to be deposited today.

Learn more about Compound interest here:

brainly.com/question/14295570

#SPJ11

10. The equation t 0.07c represents the tax, t, based on the cost, c, of an item. Which part of the equation represents the constant of proportionality? Ot 0.07

Answers

The constant of proportionality stays the same no matter what values the variables take, so in our example independently of the cost of the item (and of the tax value, which is dependent on the cost value).

Here the only value that does not change is the 0.007, the rate! - this is the correct answer.

Calebs kayak is 12 3/5 feet long. Ava's kayak is 20 2/5 feet long. How much longer is Ava's kayak?

Answers

Answer:

Step-by-step explanation: honestly don’t know

You can just subtract them seperatly like this:
20-12=8
2/5-3/5= -1/5
Since its negative, you have to take 1 off of the final answer and put 4/5 so the answer is 7 4/5

Another way is making it a decimal
12 3/5= 12.6
20 2/5= 20.4

20.4-12.6= 7.8
7.8=7 4/5

The area of a triangle is 33.6 square inches. If the height of the triangle is 4 inches, what is the length of the base? In inches.

Answers

A = 1/2 bh
where: A = area
b = length of the base
h = height of the triangle

Using the given,
33.6 = 1/2 (b)(4) substitute the given values
33.6 = 2b simplify the right side; 1/2(4) = 2
16.8 = b divide both side by 2

Therefore, the length of the base is 16.8 inches.

Formula for the area of a triangle= 1/2(b*h)
area= 33.6
33.6*1/2= 16.8

So the length of the base is 16.8 inches

The formula S=P/n gives the formula for the side length s of a regular polygon with n sides and perimeter P. A regular octagon has 8 equal sides.What is the side length of a regular octagon with a perimeter of 25.6 in.?

Answers

You just plug your numbers into the formula S=P/N

P = 25.6
N = 8

So P/N is 25.6/8 = 3.2

S (or side length) = 3.2

What does the mode of this set of data represent?

Answers

It should be D because the mode is the value that occurs the most often.

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