Find the largest and smallest whole number when rounded to the nearest hundred to give 1600.​

Answer:

x=2 y=-1

Step-by-step explanation:

multiply the top equation by negative 2. then it is -7=-14

then you dive and find out that x=2 and plug it inot the equation and solve for x 10+?=9 which is -1

Answer:

x=2

y=-1

Step-by-step explanation:

make it so that you can cancel out the y

to do this multiply the top equation by 2

10x+2y=18

3x+2y=4

subtract to get rid of 2y

7x=14

x=2

substitute the x into one equation

3(2)+2y=4

6+2y=4

2y=-2

y=-1

Therefore, option A will result in the least amount owed after 5 years.

Percent is a way of expressing a number as a fraction of 100. The symbol used for percent is "%". For example, 50% is equivalent to 50/100 or 0.5. Percentages are commonly used to express rates, ratios, and changes in quantity over time.

Here,

To determine which option will result in the least amount owed after 5 years, we need to calculate the total amount owed for each option at the end of the 5-year period. We can use the formula A=P(1+r/n)^(nt) to calculate the total amount owed, where A is the final amount owed, P is the principal (in this case $5,000), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time period in years.

Option A: 2 1/4% compounded quarterly (every 3 months)

The annual interest rate is 2.25%. Since interest is compounded quarterly, n=4. The time period is 5 years, so t=5. Plugging these values into the formula, we get:

A = [tex]5000(1+0.0225/4)^{(4*5)}[/tex]

= $5,827.05

Option B: 3% compounded every 4 months

The annual interest rate is also 3%, but interest is compounded every 4 months. To calculate the effective interest rate per year, we need to convert the compounding period to years. Since there are 3 compounding periods per year (4 months each), the effective annual interest rate is:

(1+0.03/3)³ - 1 = 0.0304 or 3.04%

Using the formula with these values, we get:

A = 5000(1+0.0304)⁵

= $6,079.28

Option C: 4 1/2% compounded semi-annually

The annual interest rate is 4.5%. Since interest is compounded semi-annually (twice per year), n=2. Plugging in the values, we get:

A = [tex]5000(1+0.045/2)x^{(2*5) }[/tex]

= $6,200.92

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Answer:

0.43

Step-by-step explanation:

Formatting the Given data into a probability distribution table :

X : ____ 0 __ 1 ___ 2 ____ 3 _____ 4 ____ 5

P(x) : _0.09_0.11 _ 0.24 _0.21 ___ 0.17 __ 0.05

Probability of making 3 or more mistakes :

P(x ≥ 3) = P(x = 3) + P(x = 4) + P(x = 5)

P(x ≥ 3) = 0.21 + 0.17 + 0.05

P(x ≥ 3) = 0.43

Answer:

635 trucks

Step-by-step explanation:

So first e know the ratio is 2:5

The amount of cars are 254

So the 2 in the ratio which represents cars is 254

So w can make that as A ratio

2:254

The 5 is known but the actual amount is unknown so we can make that x

5:x

Now we gotta make them equal to each other

2:254=5:x

Turn into fraction

2/254=5/x

Cross multiply (proportion)

2x=1270

Solve

x=635

So 635 trucks

Answer:

£11564.54

Step-by-step explanation:

Answer:

4.50

Step-by-step explanation:

thats really easy bro just divide $13.50 by 3 and you get your answer

Answer:

1 =$4.50

Step-by-step explanation:

since all 3 cost $13.50 you divide 13.50 by 3 to find your total

Answer:

1

Step-by-step explanation:

Because 6 x 4 is 24 and 25 - 24 is 1

Answer:

I need to see the equation

Answer:

1/225 x (5x+3y) square

Answer:

the answerv is D

Step-by-step explanation:

Answer:

The formula for an arithmetic series is shown below, where n = 1, 2, 3 ... f(n + 1) = f(n) + 8 If f(1) = 5, what are the fourth, fifth, and sixth terms

Step-by-step explanation:

Answer:

x=log2(131)

Step-by-step explanation:

3(2^x-3)=384

x=7.03342

i don't know this question but i have made it by photomath app.

you can get it from playstore

Answer:

[tex]8^{-2}[/tex]

Step-by-step explanation:

[tex]2^{-2} = 1/4[/tex]

So:

[tex]8^{-2} = 1/8*1/8[/tex]

Answer:

a. 106 degrees

Step-by-step explanation:

m=measure of angle 1; m-32 degrees=measure of supplement

m+(m-32 degrees)=180 degrees Add 32 degrees to each side.

2m=212 degrees Divide each side by 2

m=106 degrees ANSWER: The measure of angle 1 is 106 degrees

CHECK:

106+(106-32)=180

106+74=180

180=180

Answer:

-2

Step-by-step explanation:

you went to floor -4 in the begining, then went up 6 floors to floor 2

-4+6=2

so now you have to go down 2 floors making it negative

no your answer is -2

Answer: 18 = 36.

Step-by-step explanation:  (18x1) + 18 = 36

Answer:

The lesson Triangle Construction discussed how to make a triangle given three side lengths. As you discovered, as long as two of the lengths added up to be greater than the third, they would form a unique triangle (only one triangle could be formed).

Step-by-step explanation:

Can you give a picture of what you're talking about so I can help? lol.

Answer:

1.8 ; - 14.7

Step-by-step explanation:

Evaluate the algebraic expression 1.5t -7.2 for each given value 6 ; -5

For each of values 6 and - 5 ;

Substitute the values for t in the expression ; 1.5t - 7.2

Substituting 6 for t:

1.5(6) - 7.2

9 - 7.2

= 1.8

Substituting -5 for t:

1.5(-5) - 7.2

-7.5 - 7.2

= - 14.7

Answer:

a) The equation of the tangent to the circle

       x + √3y = 2

b)       [tex]a = \frac{-1}{\sqrt{3} } , b = \frac{2}{\sqrt{3} }[/tex]

Step-by-step explanation:

Step(i):-

Given the equation of the circle x² +y² =1

Tangent equation of the circle x² +y² =a²  is   xx₁ +yy₁ - a² =0

The tangent equation of the given circle

   xx₁ +yy₁ - 1² =0

This equation passes through the point ([tex](\frac{1}{2} , \frac{\sqrt{3} }{2} )[/tex]

       [tex]x(\frac{1}{2} ) +y(\frac{\sqrt{3} }{2} ) =1[/tex]

 ⇒   x + √3y = 2

The equation of the tangent to the circle

       x + √3y = 2

Step(ii):-

Slope - intercept form    y = ax +b

                                   √3y = - x + 2

                                    [tex]y = \frac{-x}{\sqrt{3} } + \frac{2}{\sqrt{3} }[/tex]

where  

           [tex]a = \frac{-1}{\sqrt{3} } and b = \frac{2}{\sqrt{3} }[/tex]

Answer:

the quotient is 805. the remainder is 5.

Step-by-step explanation:

when you multiply the 8 you put the number you multiplied on top. The first one is 80 and then 5. You have a 5 left over which makes that the remainder

Answer:

1. is 85.625

2. is .625

so you divide 685 and you know nothing multiplied by 8 will equal 685 so the remainder is 685

Answer:

1/12

Step-by-step explanation:

you have 1/6 chance at drawing it once (one yellow marble, six total), so 1/12 to draw it twice.

The probability of picking a yellow marble, returning it to the box, and then picking a blue marble will be 1/36. Option C is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that, we have a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow.

We have to find the probability of picking a yellow marble, returning it to the box, and then picking a blue marble.

The probability of picking a yellow marble, returning it to the box, and then picking a blue marble is obtained as,

=1/6 × 1/6

=1/36

Thus the probability of picking a yellow marble, returning it to the box, and then picking a blue marble will be 1/36. Option C is correct.

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Answer:

The interest charged is $7.49.

After 29 days, Travis paid a total of $607.49

Step-by-step explanation:

Travis obtained a cash advance for $600.

The interest rate is 0.04305% per day.

The simple interest rate formula is given by:

[tex]I=Prt[/tex]

Where I is the interest, P is the initial amount, r is the rate, and t is the time (in this case in days).

Our initial amount P is $600.

Our interest rate r is 0.04305% or (moving the decimal two places to the left) 0.0004305.

Since Travis repaid the loan after 29 days, our t is 29.

Hence, our interest is:

[tex]I=600(0.0004305)(29)=7.4907[/tex]

So, the interest charged is about $7.49.

So, after 29 days, Travis paid a total of the original $600 plus an interest of $7.49 for a total of $607.49

Answer:

The interest charged is $7.49.

After 29 days, Travis paid a total of $607.49

Step-by-step explanation:

Travis obtained a cash advance for $600.

The interest rate is 0.04305% per day.

The simple interest rate formula is given by:

→ I=Prt

Where I is the interest, P is the initial amount, r is the rate, and t is the time (in this case in days).

Our initial amount P is $600.

Our interest rate r is 0.04305% or (moving the decimal two places to the left) 0.0004305.

Since Travis repaid the loan after 29 days, our t is 29.

Hence, our interest is:

→ I=600(0.0004305)(29)=7.4907

Answer:

The answer is below

Step-by-step explanation:

The domain of a function is the set of all independent variables for the function while the range of a function is the set of all possible dependent variables.

Let x represent the number of newspaper lines and f(x) be the charges for advertisement. x is the independent variable and f(x) is the dependent variable.

Since the newspaper charges $3 per line for the first 4 lines plus a $20 fee to advertise, the function is given as:

f(x) = 3x + 20 for 0 < x < 4

But for more than four lines, the charges is given as:

f(x) = 12 + 20 = 32         4 < x < ∞

Therefore, the domain and range of the function is:

Domain = (0, ∞)

Range = (20, 32}

Answer/Step-by-step explanation:

✔️Number of Yoga classes = x

Cost ($) = y

Constant of proportionality (k) = y/x

Using the pair form the table of values given, (4, 60), find the constant of proportionality:

✅k = 60/4 = 15

Equation that represents the relationship between x and y is:

y = 15x

✔️Let's complete the table.

✅When number of yoga classes (x) = 2:

Substitute x = 2 into y = 15x

Thus,

y = 15*2 = 30

That is, 2 Yoga classes will cost $30

✅When number of yoga classes (x) = 6:

Substitute x = 6 into y = 15x

Thus,

y = 15*6 = 90

That is, 6 Yoga classes will cost $90

✅When number of yoga classes (x) = 8:

Substitute x = 8 into y = 15x

Thus,

y = 15*8 = 30

That is, 8 Yoga classes will cost $120

Answer:

2x+6

Step-by-step explanation:

4y=8x+24

y=2x+6

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

AB and BC must add up to AC

mAB + mBC = mAC

(2x - 4) + (3x + 2) = 48

Step 2: Solve for x

Answer:45

Step-by-step explanation:

150 x .30 = 45.00