Solve. x/3 - 12 = 24

Answers

Answer 1

Answer: $(x)/(3) - 12 = 24 \n \n (x)/(3) = 24 + 12 \n \n (x)/(3) = 36 \n \n x = 36 * 3 \n \n x = 108 \n \n$

The final result is: x = 108.

Answer 2

Answer: The Answer is 108

x/3 - 12 = 24
+ 12 +12
x/3 = 36
*3 *3
x=108

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10. Na'il Diggs deposited $6,500 into a savings account paying 6% annual interest,compounded monthly. How much compound interest did he earn in 3 months?

Answers

Answer:

$97.99

Step-by-step explanation:

3 months is "fraction" of a year

How much?

3/12 = 1/4th of a year

So, the interest earned in 3 months, is annual interest divided by 4.

We can use compound interest formula shown below to solve this easily:

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

Where

A is the future amount

P is the present amount (principal)

r is the rate of interest annual

n is the number of compounding in a year

t is the time in years

So, let's find the given information:

P = 6500

r = 6% = 6/100 = 0.06

n = 12 [compounded monthly, so 12 times compounding]

t = 1/4 = 0.25 [3 months = 0.25 of a year]

Now, substituting, we find the value of 6500 after 3 months:

$A=P(1+(r)/(n))^(nt)\nA=6500(1+(0.06)/(12))^(12*0.25)\nA=6500(1.005)^(3)\nA=6597.99$

So 6500 became 6597.99 in 3 months. The excess amount is the interest earned.

Interest Earned = 6597.99 - 6500 = $97.99

The length of a rectangle is twice its width. Find its area, if its perimeter is 7 and 1/3 cm.

Answers

Answer:

2.99 cm²

Step-by-step explanation:

(The "..." at the end of the decimal means that number is repeating)

The perimeter of a rectangle is the length around the shape. The equation for a rectangle's perimeter is L + W × 2, with L and W representing length and width, respectively (You multiply the length and width by two because the shape is four-sided, so it has two length sides and two width sides). To find the area of the rectangle, you need to know the individual length and width, so you'll solve for that first.

Since you're only given the perimeter and you know the length is double the width, you'll need to work backwards with this equation. To do this, first divide the perimeter (7 $(1)/(3)$ , also written as 7.33...) by 2; this equals 3 $(2)/(3\n)$ , also written as 3.66...

Next, you can find the length and width by determining what two numbers multiply to equal 3.66..., with one number being two times larger than the other number. The way I tend to think of this is that if one number is double the other, then the smaller number is one third of the sum of the two numbers (since the smaller number represents one part of the sum, and the other represents two parts of the sum, which is double the smaller number).

Since the length and width combine to be the divided perimeter, 3.66..., that means two thirds of 3.66... is the longer side (the length), and then the one third of 3.66... is the shorter side (the width). This means the length is 2.44... and the width is 1.22...

Finally, you can solve for the perimeter by dividing the perimeter by two and then subtracting the length squared. The written equation looks like this:

A = P $(1)/(2)$ - L²

(A = area, P = perimeter, L = lenth)

Now just insert the numbers into the equation and solve!

The area of the rectangle is 2.99cm²

What us the unit price of 32 ounces of yogurt that cost 4.79$

Answers

Do you mean the cost per ounce?
Then that would be $0.1496, or rounded to the nearest cent, 15 cents a ounce.

Estimate the product of 8.34 and 5.631

Answers

Solve:-

8.34 rounded to nearest whole number = 8
6.631 rounded to nearest whole number = 6

8 × 6 = 48

Estimate product = 48

Answer:

Step-by-step explanation:

Math :>

Twelve boys collected 16 aluminum cans each. Fifteen girls collected 14 aluminum cans each. How many more cans did the girls collect than boys?

Answers

The girls collected 18 more cans.

you need to find the total cans collected by boys and girls. To do this you multiply 16 and 12 for the guys cans and 15 and 14 for the girls cans.

Once you have your products you subtract them and you'll get 18 :)

The girls collected 18 more than the boys

Which graph represents the rational function f(x)=x^2-16/x^2-2x-8?

Answers

Answer:

Step-by-step explanation:

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