calvin invested $1000 earning 6% interest compounded annually.how much interest did he earn in 8 years? round to the nearest tenth

Answer:

i think the answer is 3.3

Step-by-step explanation:

Final answer:

Quita paid $6.60 in sales tax for an $88 jacket.

Explanation:

To calculate the sales tax Quita had to pay for her jacket, we need to follow a simple two-step process.

First, we will calculate the amount of tax by converting the percentage to a decimal and then multiplying it by the price of the jacket.

Since the tax rate is 7.5%, we convert this to a decimal which gives us 0.075.

Then, we multiply this decimal by the price of the jacket:

Amount of sales tax = price × rate of sales tax

$88.00 × 0.075 = $6.60

So, the sales tax on the jacket priced at $88 is $6.60.

Answer:

630

Step-by-step explanation:

Let the number of adult tickets be a.

Let the number of children tickets be c.

For that day's performance, they have sold a total of 1180 tickets. That means that:

a + c = 1180 _____________ (1)

Also, they have sold 80 more adult tickets than children’s tickets.

This means that:

a = c + 80 ______________(2)

Putting (2) in (1):

c + 80 + c = 1180

2c + 80 = 1180

Collecting like terms:

2c = 1180 - 80

2c = 1100

c = 1100 / 2 = 550

From (2):

a = 550 + 80

a = 630

They sold 630 adult tickets.

Final answer:

The theatre has sold 630 adult tickets after solving a system of equations based on the given conditions of total tickets sold and the difference between adult and children's tickets.

Explanation:

The student is presented with a problem where a theatre sells two types of tickets: children's and adult's tickets. For a particular performance, a total of 1180 tickets were sold, and there are 80 more adult tickets sold than children's tickets. We can let 'x' represent the number of children's tickets sold, and thus 'x + 80' will represent the number of adult tickets sold. According to the information given:

x + (x + 80) = 1180

Solving for 'x' we get:

2x + 80 = 1180

2x = 1100

x = 550

Now, to find the number of adult tickets sold, we add 80 to the number of children's tickets.

x + 80 = 550 + 80

x + 80 = 630

Therefore, the theatre has sold 630 adult tickets.

Answer:

photo please!

Step-by-step explanation:

Answer:

Height of the building is 32.67 meters.

Step-by-step explanation:

Volume of a Pyramid = [tex]\frac{1}{3}(\text{Area of the rectangular base})(\text{Height})[/tex]

Side of the square base of the Memphis pyramid = 180 m

Height of the pyramid = 98 meters

Volume = [tex][\frac{1}{3}(180)^2](98)[/tex]

             = 1058400 cubic meters

Another building having the same base and volume, is in the shape of a prism.

Therefore, Volume of the pyramid = volume of the building(prism) = 1058400 cubic meters

Volume of the prism = (Area of the base) × height

1058400 = (180)²h

h = [tex]\frac{1058400}{180\times 180}[/tex]

h = 32.67 meters

Therefore, height of the building in the prism shape is 32.67 meters.  

Answer:

1 2/3b + 6 2/3

Step-by-step explanation:

[tex]12\frac{1}{3}b+6\frac{2}{3}-10\frac{2}{3}b[/tex]

Combine like terms:

[tex]1\frac{2}{3}b+6\frac{2}{3}[/tex]

Since you cannot do any more combination or simplification, you are done. Hope this helps!

The simplified form of the given expression is (26-b)/3.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is [tex]12\frac{1}{3}b+6\frac{2}{3}-10\frac{2}{3}b[/tex].

Here, [tex]12\frac{1}{3}b-10\frac{2}{3}b+6\frac{2}{3}[/tex]

= (36+b)/3 - (30+2b)/3 +20/3

= (36-30+b-2b)/3 +20/3

= (6-b)/3+20/3

= (6-b+20)/3

= (26-b)/3

Therefore, the simplified form of the given expression is (26-b)/3.

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Answer: A commercial bank.

if i could get brainliest that would be great

Step-by-step explanation:

Commercial banks are financial institutions whose functions, among many, are: offering banking services to individuals, groups and companies, to make profit. One of the roles performed by these types of financial institutions is to credit loans to individuals, small businesses, and other groups, and as such, they are the first line to which a small business, such as the one controlled by Glenn and Maggie, would go to, to request a loan to be able to open up their other branches. This bank would give them the loan and allow them to make profit, without having any ties to the banking institution, just as long as they return the investment given to them.

A "commercial bank" is most suitable for Glenn and Maggie’s business. A further explanation is below.

Thus the above answer is correct.

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Answer:

Around 55.9

Step-by-step explanation:

The first step is to find the area of segment of the circle. Since the segment is a 90 degree angle and a total circle is 360, it is a quarter of the area of a circle. Therefore, you can find its area with the formula [tex]\frac{1}{4}\pi r^2=49\pi[/tex]. Now, you can find the area of the triangle inside. Since all of the radii in a circle are the same length, the triangle has two sides of length 14. Using the triangle area formula, you get an area of 14*14/2=98 square centimeters. [tex]49\pi-98\approx 55.9[/tex] square centimeters. Hope this helps!

Answer:

All positive. :)

Step-by-step explanation:

took it give me brainelist if it's right ty

Answer:

THE ANSWER IS A

Step-by-step explanation:

To find the new price of the jeans after using a 30% off coupon, multiply the original price by the discount percentage and subtract that amount from the original price.

To find the new price of the jeans after using the 30% off coupon, you need to multiply the original price by the discount percentage and subtract that amount from the original price. Here's how:

Therefore, the new price of the jeans after using the coupon is $23.80.

Answer:

3

Step-by-step explanation:

8 x 5 = 40

43 - 40 = 3

The number of students who cannot sit at tables based on the given conditions in a classroom setting are 3.

The number of students who cannot sit at tables can be calculated as follows:

Number of students per table = 8

Total number of students = 43

Total number of students that can be accommodated by tables = 5 tables x 8 students = 40 students

Number of students who cannot sit at tables = Total number of students - Total number accommodated by tables = 43 - 40 = 3 students

Answer:

24 units ²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (a + b)

where h is the perpendicular height and a, b the parallel bases

Counting the squares in the diagram gives

h = 4, a = 4, b = 8, thus

A = [tex]\frac{1}{2}[/tex] × 4 × (4 + 8) = 2 × 12 = 24 units²

= Cube root of -27 = -3 (because the factors of 27 = 3×3×3)

= Cube root of 125 = 5 ( because the factors of 125 = 5×5×5)

Thus, cube root of -27/125 = -3/5

Answer:

-3/5

Step-by-step explanation:

hello :

- 27 =(-3)^3  and  125= 5^3

-27/125 ​ = (-3)^3 / 5^3 = (-3/5)^3  

so : ∛((-3/5)^3 )= -3/5

Answer:

Long story short its C)

Step-by-step explanation:

Option B is correct, (-3 + 5i) (1) = -3 + 5i equation demonstrates the multiplicative identity property

A number system is defined as a system of writing to express numbers.

The multiplicative identity property is a multiplicative property in mathematics where each number multiplied by 1 will produce the original number or can be stated simply  :

"The product of any number and one is that number"

So The Multiplicative Identity is 1 can be stated in the formula:

a×1=1×a=a

(-3 + 5i) (1) = -3 + 5i

This is a multiplication operation and 1 is a Multiplicative Identity of multiplication, so the statement is true

Hence, option B is correct, (-3 + 5i) (1) = -3 + 5i equation demonstrates the multiplicative identity property

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Answer:

6.

Step-by-step explanation:

To solve this, you can set up an equation as such:

x²-18= 3x

Now, rearrange this to make it an equation in standard form:

x²-3x-18=0.

Simply turn this equation into factored form:

(x-6)(x+3)= 0.

The only positive solution here is x=6.

The problem is about a quadratic equation where a number's square, minus 18 equals 3 times the number. This equation is solved by factoring to get two potential solutions, -3 and 6. The positive solution is 6.

The subject matter of this question is quadratic equations in Mathematics. We are to find a number where the difference between the square of the number and 18 is equal to 3 times the number.

We first turn this into a quadratic equation:x2 - 3x - 18 = 0. Then we solve using a technique such as factoring which results to (x - 6)(x + 3) = 0. Giving the solutions x = 6 and x = -3.

Since you asked for the positive solution, x = 6 is the correct answer.

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Answer:

the correct answer would be 3030000000

Step-by-step explanation:

2500000000+530000000=3030000000

Answer:

The weight of the box of candies is 1.5b kg greater than the weight of the watermelon.

Step-by-step explanation:

Let's begin by listing out the variables we were given:

weight of the watermelon = b (kg),

weight of watermelon = (2/5) * weight of candies

weight of candies = 1 ÷ (2/5) = 1 ÷ 0.4

weight of candies = 2.5b (kg)

How much is the weight of the box of candies greater than the weight of the watermelon is given by:

weight of the box of candies - weight of watermelon= 2.5b - b = 1.5b (kg)

Therefore, the weight of the box of candies is greater than the weight of the watermelon by 1.5b (kg)

Answer:

x=0

Step-by-step explanation:

10(x-2) = -20

10(-2) = -20

A positive multiplied by a negative is a negative.

Hope this helps!

-MoCKEry

Answer:

0

Step-by-step explanation:

10(x−2)=−20

10x -20=-20

10x=0

x=0

Answer:

C. 45.82

Step-by-step explanation:

We know the circumference is given by

C = 2 * pi *r

24 = 2 * 3.14 * r

24 = 6.28r

Divide each side by 6.28

24/6.28 = r

r = 3.821656051

We want to find the area

A = pi r^2

A =3.14 * (3.821656051) ^2

   =45.85987261

Answer:

$50

Step-by-step explanation:

Sale on sweater = 40% .

Money saved = $20 .

Let original price be x then ,

=> 40% of x = $20

=> 40x/100 = $20

=> x = $20 *100/40

=> x = $ 50

Answer:

see explanation

Step-by-step explanation:

Calculate the length using the distance formula

AB = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(4,3) and (x₂, y₂ ) = B(- 2, 1)

AB = [tex]\sqrt{(-2-4)^2+(1-3)^2}[/tex]

     = [tex]\sqrt{(-6)^2+(-2)^2}[/tex]

     = [tex]\sqrt{36+4}[/tex]

     = [tex]\sqrt{40}[/tex]

     = [tex]\sqrt{4(10)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{10}[/tex] = 2[tex]\sqrt{10}[/tex] ← exact length

Answer:

y = 5x

Step-by-step explanation:

The standard equation for directly proportional equations is y = kx. We can see that y is directionally proportional to x when y = 30 and x = 6 and we need to work out an equation connecting x and y.

→ First step is to substitute in the values

y = k × x

30 = k × 6

→ Divide both sides by 6 to isolate k and find the value of k

5 = k

k = 5

→ Now we substitute k = 5 back into y = kx

y = 5x

Answer:

y=5x

Step-by-step explanation:

The answer is y=5x hope you have a nice day!

Check the attached picture for the diagram attached to the question

Answer: VOLUME A = VOLUME B

Step-by-step explanation:

The volume of a prism = cross-sectional area × length

PRISM A:

Rectangular prism

Cross-section, as given above, equals 3units by 2units

Therefore, the Area of the cross-section equals

Area of rectangle= Length × Width

Area of rectangle( 3×2) = 6

Length = 3.61

The volume is 6 × 3.61 = 21.66 unit^3

PRISM B:

Triangular prism:

Cross-section, as given above, equals 4units by 3units

Therefore, the Area of the cross-section equals

Area of triangle = (1/2) × base × height

Area of triangle 0.5 × 4 × 3= 6

Length = 3.61

The volume is 6 × 3.61 = 21.66unit^3

Answer: D) Volume A = Volume B

Answer:

515

Step-by-step explanation:

Given the factors of function f as (x-6) and (x-1), the zeros of the function are 6 and 1.

In general, given the function, f(x), its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, find the values of x where f(x) = 0.

The factors of the function f are (x-6) and (x-1).

The zeros of function f are 1 and 6.

x - 6 = 0 ⇒ x = 6

x - 1 = 0 ⇒ x = 1

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Final answer:

The zeros of function f, given the factors (x - 6) and (x - 1), are 6 and 1. Hence, the correct answer to the student's question is option C: 1 and 6.

Explanation:

The factors of function f are given as (x − 6) and (x − 1). To find the zeros of function f, we need to set each factor equal to zero and solve for x. This gives us the equations:

x - 6 = 0 → x = 6

x - 1 = 0 → x = 1

Therefore, the zeros of function f are 6 and 1. Hence, the correct answer is option C: 1 and 6.

Answer:

By using function notation

This question os incomplete

Answer:

34 + 35 + 36 = 105

Step-by-step explanation:

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 105

3X + 3 = 105

3X + 3 - 3 = 105 - 3

3X = 102

3X/3 = 102/3

X = 34

Which means that the first number is 34, the second number is 34 + 1 and the third number is 34 + 2. Therefore, three consecutive integers that add up to 105 are 34, 35, and 36.

34 + 35 + 36 = 105

We know our answer is correct because 34 + 35 + 36 equals 105 as displayed above.

Answer: 280

To find the total number of 6th grade students at Dutchtown Middle, we can set up a proportion based on the information given:

- 45% of the 6th graders went to the Valentine's Dance.

- 126 students attended the dance.

Let us denote the total number of 6th grade students as N.

Given that 45% of the 6th graders is equal to 126 students, we can write the equation as:

(45/100)N = 126

[tex]\[ 0.45N = 126 \][/tex]

[tex]\[ N = \frac{126}{0.45} \][/tex]

[tex]\[ N = \frac{126}{0.45} \]\[ N = 280 \][/tex]

Therefore, the total number of 6th grade students at Dutchtown Middle is 280.