What was the total interest?

Enter your answer in the box.

Hint: Use the formula l=P*R*T where

I= Interest Earned/Owed

P= Principal

R= Rate

T= Time

**Answer:**

$900

**Step-by-step explanation:**

Put the numbers in the formula and do the arithmetic.

I = PRT

I = ($4500)(0.05)(4) = $900

**The total interest was $900**.

[tex]\large\tt\green{Answer}[/tex]

The total interest was[tex]\large\tt\green{Step-by-step \: explanation}[/tex]

**S****t****e****p**** ****1****:**

Put the numbers in the formula and do the arithmetic.

I = P × R × TI = $4500 × 5% × 4**S****t****e****p**** ****2****:**

Rename 5% into decimal

I = P × R × TI = $4500 ×**S****t****e****p**** ****3****:**

Solve the problem with the full solution.

I = P × R × TI = $4500 × 5% × 4I = $4500 × 0.05 × 4I =Therefore, the total interest was **$****9****0****0**

Type the correct answer in the box. Use numerals instead of words. Find the missing side length, x. 18° 18° 20 B D The value of the missing side length labeled as x is _____

**Answer:**

7.2

**Step-by-step explanation:**

20/12 = 12/x

20x = 144

x = 144/20

x = 7.2

**Check to make sure your answer is right:**

20/12 = 1.66666666667

12/7.2 = 1.66666666667

can anyone please help? I'm stuck on this problem

**Answer:**

I think 38.7 if you do<j it would be 38.7

Pls look at the picture for the question.

**Answer:**

10

**Step-by-step explanation:**

each tick mark is worth 5

there is the -10, then one to the right is -5, next is 0, next is 5, next one (the one where the x is) 10, next 15, next 20.

Can u help me w this

**Answer:**

a) 15, b) 36

**Step-by-step explanation:**

**Answer:**

a is 15, b is 6

**Step-by-step explanation:**

a. 5x+3=17. subtract 3 on both sides then u get 5x=14 then you simply by dividing by 5 on each side which gives you x= 14/5 = 2.5 so ..... 5x+1= 15

b. first you rearrange the terms to -3y+5=6, then you subtract 5 from each side so it's 3y = 1. then divide both of the equation by the same term ( -3) to get y= -1/3. so 5 - 3y² = ..... 3× -1/3 = -1 and -1² = -1 so 5 - (-1) = 6

The perimeter of a rectangular is 306 centimeters of the length of the painting is 94 centimeters what is the width

**Answer:**

59 centimeters

**Step-by-step explanation:**

the length of a rectangular house is two and a half times its width. Solve the problem using x to denote the shorter side of the rectangle.

a) construct the expression for the area or the rectangle in terms of x

b) calculate the area if x=32 feet

answer

a.) y=2.5x

area=2.5x^2

b.)2560

**Step-by-step explanation:**

a. The **construct **the expression for the **area** of the **rectangle** in terms of x is **y=2.5x**

b. The **area **should be **2,560.**

Given that,

theBased on the above information, the **calculation** is as follows:

a) The expression should be y = 2.5x

b) The area should be

[tex]=2.5x^2\\\\= 2.5(32)^2[/tex]

= 2560

Learn more: https://brainly.com/question/1301963?referrer=searchResults

most of the mathematical symbols were not invented until 16th century, before that how equations were written?

**Answer:**

During the 16th and early 17th Century, the equals, multiplication, division, radical (root), decimal and inequality symbols were gradually introduced and standardized. ... In the Renaissance Italy of the early 16th Century, Bologna University in particular was famed for its intense public mathematics

Prior to the invention of the **Mathematical Symbols, **mathematical **equations **were written in words.

For example, Y + 10 = 4.5 would be written as

**The thing plus ten equal to eight.**

It is** **true that** MOST**, that is, the majority of the mathematical symbols we have today were invented in the **16th century**. Examples of such **symbols** are:

Prior to the **16th century,** some **mathematical signs** were already in use. They are:

See the link below for more about **Mathematical Signs**:

https://brainly.com/question/11855662

It takes 4/5 of an hour to fill 1/2 tank.how many tanks can she fill in an hour

**Answer:**

5/8 of a tank

**Step-by-step explanation:**

Divide 1/2 by 4 to get how much of a tank you would be able to fill in 1/5 of an hour. 1/2 ⁒ 4 is 1/8 so she can fill 1/2+1/8 of a tank or 5/8 of a tank.

For what value of x does 32X – 9^3x-4?

**Answer: X = 4/61 **

**Step-by-step explanation**

find the unknown angle can someone help me pls what is this how do i even find the unknown angle

**Answer:**

1 135

2 45

3 135

4 45

**Step-by-step explanation:**

think in terms of supplimentary angles. those that add up to 180

1 and 3 are equal because opposite angles are equal so

3 = 135 degrees

angles in a circle = 360

360 - (135 x 2) = 90

90 / 2 = 45 so

2 and 4 are each 45 degrees

3 = 135 degrees

angles in a circle = 360

360 - (135 x 2) = 90

90 / 2 = 45 so

2 and 4 are each 45 degrees

The solution is -1/2.

Which multiplication equation has the given solution?

**Answer:**

5x=-(5/2) ~~ **f****i****r****s****t**** ****c****h****o****i****c****e**

**Step-by-step explanation:**

divide both sides by 5

-> x=(5/2)/5

simplify the above

-> x = - (5/2x5)

simplify

-> x = -(5/10)

simplify and solve

=> x = - 1/2

*(**b**a**s**i**c**a**l**l**y** **t**r**i**a**l** **a**n**d** **e**r**r**o**r**)*

At a soccer game, a vendor sold a combined a total of 220 sodas and hotdogs. The number of sodas was sold was 46 more than the number of hotdogs sold. Find the number of sodas sold and the number of hotdogs sold.

**Answer:**

133 sodas and 87 hotdogs were sold.

**Step-by-step explanation:**

math

**Answer:**

number of sodas: x+46 (46 more than hotdogs)

number of hotdogs: x

x+x+46=220

2x+46=220

2x=174

x=87

87+46=133

number of sodas: 133

number of hotdogs: 87

What percent of 38 is 12

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]\frac{38}{100} (12)[/tex]

[tex]=(\frac{38}{100} )(\frac{12}{1} )[/tex]

[tex]=(\frac{19}{50} )(\frac{12}{1} )[/tex]

[tex]=\frac{(19)(12)}{(50)(1)}[/tex]

[tex]=\frac{228}{50}[/tex]

[tex]=\frac{114}{25}[/tex]OR[tex]4.56[/tex]

ANSWER:

[tex]\frac{114}{25}, OR: 4.56[/tex]

Hopefully, this helps you!!

[tex]Sokka[/tex]

Driving at a constant rate, Dan traveled 310 miles in 5 hours. If he drives at the same speed, how far will Dan travel in 8 hours?

According to the amount he drove in 5 hours, he drove an average of 62 MPH. If he continued to drive at this speed for 8 hours, he would travel 496 miles.

we laid out strands of lights to decorate the school each strand was 12 feet long how many strands did we need if we needed at least 70 feet of lights

6 strands

70/12=5.83

Because you can’t have .8 of a strand, you would need to round up to the next whole number (6)

70/12=5.83

Because you can’t have .8 of a strand, you would need to round up to the next whole number (6)

What is the prime factorization of 24?

1. 2x2x2x3

2. 2x2x3

3. 8x3

4. 6x4

**Answer:**

1. 2x2x2x3

**Step-by-step explanation:**

Let's do process of elimination.

**2. 2x2x3**

2x2=4 4x3=12

2 is false.

**3. 8x3**

8x3=24

3 is true, but 8 is not a prime number.

**4. 6x4**

6x4=24

4 is true, but 6 is not a prime number.

This leaves 1. 2x2x2x3.

**1. 2x2x2x3**

2x2=4 2x3=6 6x4=24

1 is true, and 2 and 3 are prime numbers. So, the answer is 1.

-hope it helps

**Answer:**

1. 2x2x2x3

**Step-by-step explanation:**

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.

[tex]24\:\mathrm{divides\:by}\:2\\\\\quad \:24=12\cdot \:2[/tex]

[tex]12\:\mathrm{divides\:by}\:2\\\\\quad \:12=6\cdot \:2[/tex]

[tex]6\:\mathrm{divides\:by}\:2\quad\\\\ \:6=3\cdot \:2[/tex]

[tex]2, 6\:\mathrm{divides\:by}\:2\quad \\\\\:6=3\cdot \:2[/tex]

PLEASE HURRY! WILL MARK BRAINLIEST IF CORRECT (Screenshot)

**Answer:**

The length of XY is 22.5

**Step-by-step explanation:**

Since you need to hurry I will not write an explanation

Hope this helps! :)

૮ ・ﻌ・ა

Simplify the expression.

−6−7

**Answer:**

-13

**Step-by-step explanation:**

subtract 7 from -6

**Answer: -13**

**Step-by-step explanation: **When you have two numbers with negative signs, you add them but you keep the negative sign.

Therefore, -6-7 = -13

For the future, know these rules for signs when adding, subtracting, dividing and multiplying:

When adding two negative numbers, you add but keep the negative sign like in the above problem.

When adding a positive and negative, you subtract but keep the sign of the highest number. Example: -4+9 = 5 or -11+3 = -8.

When multiplying two negatives or positives numbers, the answer will be positive. When multiplying negatives x positive = negative.

The same applies to division. (-)/(+) = (-) or (+)/(-) = (-)

(-)/(-) = (+)

Hope this explanation and rules help.

A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up heads

105/2^9

**Step-by-step explanation:**

The probability of getting a head in a single toss

p=12

The probability of not getting a head in a single toss

q=1−12=12

Now, using Binomial theorem of probability,

The probability of getting exactly r=4 heads in total n=10 tosses

=10C4(1/2)4(1/2)10−4

=10×9×8×7/4! 1/2^4 1/2^6

=2^44⋅9⋅35/24(2^10)

=105/2^9

**Answer:**

P = 0.205 (20.5%)

**Step-by-step explanation:**

[tex]f(x)=(10nCr4)(.5)^{4} (.5)^{6} =(210)(0.0625)(0.015625)=0.205[/tex]

Hope this helps

Suppose that 26% of people own cats. If you pick two people at random

Answer:13 percent would have cats and the other 13 percent wouldn’t

Step-by-step explanation:plz mark for brainlist

Thank you

Given:

Probability of a person owning a dog is 0.28

Choose two persons at random, find probability that both are dog-owners.

Solution:

probability of dog-ownership for one person chosen at random = 0.28

probability of dog-ownership for two persons chosen at random = 0.28%5E2+=+0.0784

Answer: probability of two dog-owners out of two randomly chosen persons is 0.0784.

Probability of a person owning a dog is 0.28

Choose two persons at random, find probability that both are dog-owners.

Solution:

probability of dog-ownership for one person chosen at random = 0.28

probability of dog-ownership for two persons chosen at random = 0.28%5E2+=+0.0784

Answer: probability of two dog-owners out of two randomly chosen persons is 0.0784.

Given the equation y=|x| complete the table of values

**Answer:**

2,1,0,1,2

**Step-by-step explanation:**

Simplify the expression 7h+(−8.3d)−13+6d−2.9h.

**Answer:−2.3d+4.1h−13**

**Step-by-step explanation:**

please help ill mark brainliestl

**Answer:**

A) Yes...ABC and GFC are similar using AA.

**Step-by-step explanation:**

is 5.243 greater, equal to ,or less than 5.4?

**Answer:**

5.243 is less than 5.4....

5.243 is less than 5.4

what are the values? f(3)

**Answer:**

it's simply what we follow and respect like we value our culture

**Step-by-step explanation:**

hope this will help

WILL MARK BRAINLIEST!!!

PLEASE HELP AND NO LINKS

**Answer:**

1000 = 450 + 50w

**Step-by-step explanation:**

She starts with $450 so that is why you add it. The amount she started with will not change.

She earns $50 per week so you add 50 multiplied by the number of weeks she works.

You do this until it equals 1000

use technology to find points and graph the line x - 3y = -6

(0,2) is one of the points you could plot

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6830 and his stock in Company B was worth $2600. The stock in Company A has increased 20% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

**Step-by-step explanation:**

20 POINTS AND BRAINLIST! WILL BE GIVEN!!

complete the following statements.

<1 and <5 are remote interior angles of <4.

_ and _ and are remote interior angles of <6.

_ and _ are remove interior angles of <2.

The **sum **of the **remote **interior angles are equal to the **exterior angles**.

The **completed statements **are;

∠1 and ∠3 are remote interior angles of ∠6

∠3 and ∠5 are remote interior angles of ∠2

**Reasons**:

**Remote interior angles **are the angles that are not on the **same vertex **as an exterior angle

The **remote **interior **angles **of** ∠4** are **∠1 **and **∠5**

Similarly, we have;

∠1 and ∠3 are remote **interior **angles of **∠6**

∠3 and ∠5 are remote interior angles of **∠2**

Learn more about the **exterior **and **interior angles **of a triangle here:

https://brainly.com/question/8797215

Can someone help please

=========================================================

Explanation:

If you know the cost function C(x), to find the marginal cost, we apply the derivative.

Marginal cost = derivative of cost function

Marginal cost = C ' (x)

Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.

[tex]\text{Cost} = \text{antiderivative of marginal cost}\\\\\displaystyle C(x) = \int \left(35x^{4/3} - 14x^{3/4} + 1\right)dx\\\\[/tex]

[tex]C(x) = \frac{1}{1+4/3}*35x^{4/3+1} - \frac{1}{1+3/4}*14x^{3/4+1} + x + D\\\\C(x) = \frac{1}{7/3}*35x^{7/3} - \frac{1}{7/4}*14x^{7/4} + x + D\\\\C(x) = \frac{3}{7}*35x^{7/3} - \frac{4}{7}*14x^{7/4} + x + D\\\\C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\[/tex]

D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).

To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.

Therefore, we go from this

[tex]C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\[/tex]

to this

[tex]C(x) = 15x^{7/3} - 8x^{7/4} + x + 9000\\\\[/tex]

which is the final answer.

Which scenario can be represented using the inequalities below? 1. 25 < x < 1. 5 a container of milk costs at least $1. 25 but less than $1. 50. A student spends at least 1 hour 15 minutes, but no more than 1 hour 30 minutes on homework. A tip added to a restaurant bill is less than or equal to 25% or less than or equal to 50%. The point value of a test item is more than 1. 25 points and less than 1. 5 points.
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