Casey borrowed $4500 at a 5% interest rate for 4 years.
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

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.

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]

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

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

Answer:

59 centimeters

Step-by-step explanation:

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

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

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

Answer:

5x=-(5/2) ~~ first choice

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

(basically trial and error)

Answer:

5.243 is less than 5.4....

Step-by-step explanation:

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).

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.

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,

Based 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

Answer:

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

Step-by-step explanation:

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.

Answer:

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

Answer:

2,1,0,1,2

Step-by-step explanation:

[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]4.56[/tex]

ANSWER:

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

Hopefully, this helps you!!

[tex]Sokka[/tex]

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

Answer:

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

Step-by-step explanation:

hope this will help

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.

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

Step-by-step explanation:plz mark for brainlist

Thank you

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

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

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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.

Answer:−2.3d+4.1h−13

Step-by-step explanation:

Answer: X = 4/61

Step-by-step explanation

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