In 25 years, a bond that paid 4.75% simple interest earned $4,750 interest. What was the principal of the bond in dollars?

Answer:

Part A: The average car length is 9.1 feet to the nearest tenth foot

Part B: The line would be 9100 feet to contained 1000 cars

Step-by-step explanation:

* Lets explain how to solve the problem

# Part A:

- There were 62 cars in a line that stretched 567 feet

- The cars are lined up bumper-to-bumper

- That means there is no empty spaces between the cars

* To find the average length of the car we will divide the length of

 the line by the numbers of the cars

∵ The average car length = length of the line/number of cars

∵ The length of the line is 567 feet

∵ The numbers of the cars is 62 cars

∴ The average car length = 567/62 = 9.1 feet

* The average car length is 9.1 feet to the nearest tenth foot

# Part B:

- There are 1000 cars

- We need to find the length of line which contained the cars

∵ The average car length = length of the line/number of cars

∵ The average of car length is 9.1 feet

∵ The number of the cars is 1000 cars

∴ 9.1 = length of the line/1000

- Multiply both sides by 1000

∴ The length of the line = 9.1 × 1000 = 9100 feet

∴ The line would be 9100 feet to contained 1000 cars

Answer:

-4.5°c

Step-by-step explanation:

Answer:to what ?

Step-by-step explanation:

Answer:

acb

Step-by-step explanation:

Answer:

both same if we see. the one inch also costs l dollar wheras 10 dollar costs 10 inch. ok

Answer:

10in pizza

Step-by-step explanation:

We need to find the area of each pizza.

A = [tex]\pi[/tex][tex]r^{2}[/tex]

radius is 1/2 the diameter.

1in pizza                                    10in pizza

A = [tex]\pi[/tex]([tex].5^{2}[/tex])                                    A = [tex]\pi (2.5^{2} )[/tex]

A = .25[tex]\pi[/tex]                                     A = 6.25[tex]\pi[/tex]

A = .79                                        A = 19.63

                                                   19.63/10 for [tex]in^{2}[/tex] per $1

So the 1in pizza bite is $1 for .79[tex]in^{2}[/tex]  and we can see from the 10in pizza it's $1 for 1.96[tex]in^{2}[/tex]. So it is much better to get the 10in pizza.

Answer:

34

Step-by-step explanation:

There are 34 people in the garden prior to the time I joined them.

So when I entered the garden, the total number of people in the garden will be:

Let assume, you as the reader was part of the people in the garden and you hugged 30 people. That doesn't add up or increase the number of people in the garden.

At the end of the day, the number of people you did not hug is:

35 - 30 - 1(you)

= 35 - 31

= 4 people

Therefore, we can conclude that there are 35 people present in the garden.

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Answer: OPTION A

Step-by-step explanation:

The distance between any number is always positive so we should apply the absolute value.

The distance between numbers=number 1-number2 (or vise versa, and that is why we need absolute value)

In your question, the two numbers are 3/4 and 2. Applying to the expression above, the distance between two numbers should be |3/4-2| or |2-3/4|.

The only option in your case is |3/4-2| and this is it.

Hope this helps!! :)

Please let me know if you have any question

Let's use an equation to solve this problem.

Since they are consecutive integers, if we say that the first number is [tex]x[/tex], then the next two numbers (three dimensions in a rectangular prism) are [tex]x+1[/tex] and [tex]x+2[/tex] respectively.

[tex]x*(x+1)*(x+2)=4896[/tex]

[tex]x*(x+1)=x^2+x[/tex]

[tex](x^2+x)*(x+2)=x^3+2x^2+2x[/tex]

[tex]x^3+3x^2+2x=4896[/tex]

[tex]x^3+3x^2+2x-4896=0[/tex]

[tex]x=16[/tex]

B is the correct answer.

Step-by-step explanation:

here is the ans

please check

Answer:

[tex]-(202x+5)[/tex] is the equivalent expression

Step-by-step explanation:

Given the following expression

[tex]12x+(-7)-214x-(-2)[/tex]

We are expected to find and re-write the expression such that it equals the given expression

We proceed by opening all brackets and work operations on signs

[tex]12x-7-214x+2[/tex]

collecting like terms we have

[tex]12x-214x-7+2\\\\-202x-5[/tex]

we can further re-write the new expression as

[tex]-(202x+5)[/tex]

Answer:

(23/454/7)(-324)

Step-by-step explanation:

Answer:

f(x) = 24 miles per gallon

Step-by-step explanation:

car manufacturer claims that their car can get 33 miles per gallon minus the speed factor

f (×) =33 -0.15x

For a car going 60 mph

f (×) =33 -0.15x

X=60 mph

f (×) =33 -0.15x

f(x) = 33-0.15(60)

f(x) = 33-9

f(x) = 24 miles per gallon

Answer:

$1.50

Step-by-step explanation:

Answer:

2:06

Step-by-step explanation:

You just need to find the Least Common Multiple of the 3 numbers. In this case it was 126 which if those are minutes that would mean 2 hours and 6 minutes.

Answer:

A. 1.2 > -6.9

Step-by-step explanation:

The reasoning is because positive numbers are ALWAYS greater than negative numbers, and in this question, 1.2 is higher than -6.9. Hope this helped!

Answer:

1.2> - 6.9

Step-by-step explanation:

1.2 is greater than (>) -6.9

Answer:

1/8

Step-by-step explanation:

on edgenuity

Answer: The range in golf scores was 14.

Step-by-step explanation:

Range = Maximum - minimum

Values above some limit are represented by positive integers whereas values blow a certain limit is represented by negative numbers.

Given: The golfer with the highest score in a tournament was nine over par i.e. (9). The golfer with the lowest was five below par i.e. (-5 ).

So, the range in golf scores =  9-(-5)

=  9+5

= 14

Therefore, the range in golf scores was 14.

Answer:

i know

Step-by-step explanation:

but I don't have pen

Answer:

15$

Step-by-step explanation:

24.00 increased by 15% is 27.60

the increase is 3.60

so the answer is 15%

Answer:

2/3

Step-by-step explanation:

half are choclate so the rest is 50% and 1/3 is vanilla so 2/3 are strawberry and chocolate

1/3 portion of the cupcakes are strawberry with chocolate frosting.

An individual part or share of something is called as portion.

It also refers to the divide something into parts.

Now it is given that,

Portion of chocolate cupcakes = 1/2

Portion of strawberry cupcakes = 1/2

Of the strawberry cupcakes.

frosted with vanilla frosting = 1/3

frosted with chocolate frosting = 1-1/3 =  2/3

Since, 1/2 portion of all the cupcakes are strawberry cakes and out of 1/2, 1/3 are frosted with vanilla frosting and 2/3 are frosted with chocolate frosting.

strawberry cupcakes frosted with chocolate frosting = 2/3 of 1/2 = 2/6

⇒strawberry cupcakes frosted with chocolate frosting = 1/3

Hence,1/3 portion of the cupcakes are strawberry with chocolate frosting.

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Answer:

a. Equilateral

b. Scalene

c. Isosceles

d. Right

e. Obtuse

f. Acute

Step-by-step explanation:

pf

Answer:The answer is $0.24

Step-by-step explanation:divide 2.16 by 9

Answer:

Step-by-step explanation:

To get the remainder of (x-(-1)) we need to evaluate for -1,

[tex](-1)^{11}+101=-1+101=100[/tex]

So if this is divided by x+1, it means that we can write

[tex]x^{11}+101=(x+1)P(x)+R\\\\so \ for \ x = -1\\\\(-1)^{11}+101=100=0*P(-1)+R=R\\\\\text{So the remainder is 100 !!}[/tex]

thanks

Answer:

$64

Step-by-step explanation:

We can set up a percentage proportion to find the value Caleb's groceries before tax.

[tex]\frac{1.60}{x} = \frac{2.5}{100}[/tex]

We can cross multiply to find the value of x.

[tex]100\cdot1.60=160\\\\160\div2.5=64[/tex]

So the original cost before tax was $64.

Hope this helped!

Answer:

$1.64

Step-by-step explanation:

We need to find the before tax price so let that be x

100-2.5% = 97.5% (since this is the reduction before the sale)

Turn this percentage into a decimal so 0.975

To find x we must remember this price multiples 0.975 to give us $1.60

x * 0.975 = 1.60

x = 1.60 / 0.975

x = 1.64 (2dp)

Answer:

Step-by-step explanation:

"Tamara runs 5 miles each week"

Let Tamara runs 'x' weeks then equation that represents the total distance covered by Tamara will be,

1). y = 5x

2). Here 'y' is directly proportional to the number of weeks 'x'.

3). And the graph when plotted will start from 0. Therefore, graph (1) will be the graph for the given equation.

"Tamara runs 5 minutes more than she walks each day."

1). If Tamara walks 'x' minutes daily and she runs for y minutes then relation between x and y will be,

y = x + 5

2). y and x are non proportional.

3). Graph will have y-intercept = 5

Answer:

ik somebody answer already n stuff

Step-by-step explanation:

Answer: 7x+y+8

Step-by-step explanation:

Combining like terms is just like what it sounds. You take the like terms, or terms that have the same variables and such, and add them together.

For this problem, we can see that 12x and -5x are like terms because they both consist of a numerical coefficient and the variable x.

We can see that -3y and 4y are like terms because they both have a numerical coefficient and y for variable.

Now, we can combine like terms.

12x-3y+8-5x+4y                     [combine like terms]

7x+y+8

I dont think so lol try drawing it out a translation is the same shape or point but in another quadrant either over the x axis or y axis

Answer:

The domain of a function is the set of numbers for which the function is defined.

Here, this function has values of number from -1 to +3

therefore, it's domain is [-1,3]

The range is the set of results of a function

here, this function ranges between -5 to +4

therefore, its range is [-5,4]

I am 1 Brainly away from Virtuoso, help if you find this answer helpful

Answer: 17

Step-by-step explanation: 204/12 = 17

Answer:

204÷12=17

lexie used 17 per miles

Step-by-step explanation:

that if am right lol

Answer/

Step-by-step explanation:

Look at the powers of each x10. The bigger the power, the bigger the mass. Of two are in the same order, you look at the number next to it.

The ascending order from least to greatest is

Atmosphere - 5.1 × 10¹⁸ kg

Oceans - 1.4 × 10²¹ kg

Inner core - 9.675 × 10²² kg

Crust - 2.6 × 10²² kg

Outer core - 1.835 × 10²⁴ kg

When numbers are arranged in ascending order, they are done so from least to largest. We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in ascending order: Determine how many digits each number has.

Given data ,

Let the masses of each part of the Earth be

oceans     1.4 × 1021kg

crust      2.6 × 1022kg

atmosphere   5.1 × 1018kg

mantle     4.043 × 1024kg

outer core   1.835 × 1024kg

inner core   9.675 × 1022kg

And , arranging them in ascending order , we get

Atmosphere - 5.1 × 10¹⁸ kg

Oceans - 1.4 × 10²¹ kg

Inner core - 9.675 × 10²² kg

Crust - 2.6 × 10²² kg

Outer core - 1.835 × 10²⁴ kg

Hence , the arranging order is solved

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Answer:

2x2x2x5 is your answer

Step-by-step explanation:

40 is a composite number. 40 = 1 x 40, 2 x 20, 4 x 10, or 5 x 8. Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40. Prime factorization: 40 = 2 x 2 x 2 x 5, which can also be written 2³ x 5.

I hope this helps you.

Answer:

2х2х2×5

Step-by-step explanation: