As part of your retirement, you wish to generate $2,000 monthly payments for a 15-year period. The annual interest rate is 5%. What minimum amount is necessary to fund these payments?

Answer:

[tex]x^{2}[/tex] + 3 - 6

Step-by-step explanation:

Answer:

x2+3x-6

Step-by-step explanation:

Answer:

960

Step-by-step explanation:

I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.

Consider the speed 4/5 miles in 12 minutes to travel 2/8.

8 + 4 = 12, so you can replace that with 12 minutes.

Now, you can absolutely guess your question.

Time = 12 minutes.

Distance = x (Let x be distance)

Speed = 4/5.

Now, you find distance.

Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.

So 4/5 × 12, is 9.6.

In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.

Here is a pattern I found

2/5 divided by 4 is 1/10

4/5 divided by 8 is 1/10

If , we consider the given rates , we find that both rates are equivalent.

Two rates are given which are 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

We have to find out what they actually indicate.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

Two rates are given which are ;  4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

Let's find out what they are actually indicating.

So ;

If , distance travelled in 8 minutes = 4/5 miles

Then ;

In 1 minute , distance travelled will be ;

= [tex]\frac{4}{5*8}[/tex]

= [tex]\frac{4}{40}[/tex]

= 1 / 10 miles

and

If , distance travelled in 4 minutes = 2/5 miles

Then ;

In 1 minute , distance travelled will be ;

= [tex]\frac{2}{5*4}[/tex]

= [tex]\frac{2}{20}[/tex]

= 1 / 10 miles

So , we can conclude that both rates are equivalent.

Thus , if we , consider the given rates , we find that both rates are equivalent.

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Answer:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle.

Step-by-step explanation:

75×50/100= 37.5$

37.5×6/100=225/100=2.25$

37.5+2.25= 39.75$

Answer:

he can buy 2 pounds of macaroni

Step-by-step explanation:

first you add up the 3.75 and the 2.25 from the turkey and the soda. it ranges to 6 dollars. then if each macaroni pound is 2 you will be able to buy 2 pounds from the 4 dollars you have lefy

Answer:

Charlie can buy 1 or 2 pounds of macaroni

Step-by-step explanation

If we add up the cost of the turkey sandwich and the soda, we get $6.00. Charlie has $10.00 to spend, so when he buys the sandwich and soda, he will have $4.00 left to spend. If the macaroni is $2.00 per pound, then Charlie can buy 1 or 2 pounds of macaroni.

hope this helped

Answer:

Step-by-step explanation:

55 - 20% = 44

5.5% of 44 = 2.42

2.42 + 44 = 46.42

hope this helps. :]

Answer:

x=2

Step-by-step explanation:

We first distribute this. So we have 15x-10 = 10 + 6 +2x.

Then we move the variable to one side and have 13x= 10+10+6

Simplify to get 13x = 26.

x=2

Answer:

5 is 45% of 11.11

Step-by-step explanation:

Answer:

Well both zookeepers are correct but the second zookeepers answer was more accurate.

Step-by-step explanation:

The first zookeeper gave the equation :

[tex]x - 41.5 = 13.5[/tex]

So , In order to find Benards speed which is denoted as x , we would still have to collect like terms to isolate x.

The second zookeeper gave the equation :

[tex]41.5 + 13.5 = x[/tex]

In this equation the zookeeper had already isolated x so, only simple addition was needed to find Bernard's speed.

This equation is easier to solve.

Answer: In an ordinary year, if you were to count all the days in a calendar from January to December, you'd count 365 days. But approximately every four years, February has 29 days instead of 28. So, there are 366 days in the year. This is called a leap year.

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

11(a) + 15(b) / 2×6(h)

Answer:

Step-by-step explanation:

Perimeter is:

Comparing the value:

Are formula:

Replacing values:

Answer:

60cm²

Step-by-step explanation:

To find :-

We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .

→ 2x - 4 +5x - 13 + x + 9 = 40cm .

→ 8x - 8 = 40cm

→ 8x = 40+8 cm

→ 8x = 48 cm

→ x = 6cm .

We know that the area of the triangle is half the product of base and height .

→ A = 1/2 × b × h

→ A = 1/2 × 8cm × 15cm

→ A = 60cm²

Answer:

Step-by-step explanation:

First, find the slope using the two given points and the slope equation.

[tex]m=\frac{y2-y1}{x2-x1}=\frac{17-8}{19-10}=\frac{9}{9}=1[/tex]

We can enter [tex]m[/tex] into our slope-intercept form now.

[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]

Now, plug in one of the given points to solve for b.

[tex]8=10+b\\b=-2[/tex]

So our final form is:

[tex]y=x-2[/tex]

Hope this helps!

The equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

The general equation or the slope - intercept form of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a line such that points (10, 8) and (19, 17) lie on this line.

The given coordinates are (10, 8) and (19, 17).

First, we will find the slope of the line as follows -

m = (17 - 8)/(19 - 10)

m = 9/9

m = 1

So, the equation of the line will be -

y = x + c

Now, we will find the y - intercept. As the line pass through the point

(10, 8), we can write -

8 = 10 + c

c = 8 - 10

c = -2

So, the equation of the line will be y = x - 2.

Therefore, the equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

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Answer: 2

Step-by-step explanation:

The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.

Recall :

Slope = Rise / Run

From the graph :

Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6

Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3

The slope of the graph can be expressed thus :

Therefore, the slope of the line in the graph attached is 2

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Answer:

a. Dan is 100 miles from home at noon and is travelling at 70 miles per hour.

Step-by-step explanation:

Given

[tex]y = 70h + 100[/tex]

Required

Interpret

An equation has the form

[tex]y = mx + b[/tex]

Where

[tex]m = rate[/tex]

[tex]b = y\ intercept[/tex]

By comparison with [tex]y = 70h + 100[/tex]

[tex]m = 70[/tex]

i.e. He travels at 70 miles per hour

And

[tex]b = 100[/tex]

This represents the initial distance as at when he started travelling (12 noon)

i.e. At noon, he is 100 miles away from home

Answer:

A is the right answer.

Step-by-step explanation:

Answer:

C: 12m

Step-by-step explanation:

We can solve this by using the Pythagorean Theorem [tex]a^{2} + b^{2} = c^{2}[/tex]

For this triangle

a= x   b= 5   c= 13

We now have the equation

[tex]x^{2} + 5^{2} =13^{2}[/tex]

If we simplify this we get

[tex]x^{2} + 25 = 169[/tex]

Next, we subtract 25 from both sides

[tex]x^{2} = 144[/tex]

Finally, if we take the square root of both sides of the equation, we find that

x= 12

Answer: All of the ones with a positive and negative. If it’s positive and positive or negative with a negative put in the equation, it’ll always equal a positive. Hope that helps!

Answer:

-6 * 7

-8 * 8

11 * (-2)

Step-by-step explanation:

Hope this helps :D

Answer:

(2) 19

Step-by-step explanation:

Answer: =−1 7/20

(Decimal: -1.35)

Step-by-step explanation: Hope this helped, Happy new years!

Answer:

y=1/4x+9

Step-by-step explanation:

x-4y=-36

add 4y to both sides to find x

x=4y−36

To find y=

add -x to both sides

−4y=−x−36

divide both sides by -4

y=mx+b

y=1/4x+9

Answer:

b

Step-by-step explanation:

It will take [tex]\frac{20}{9}[/tex] hours as per linear equation to complete the wall.

A linear equation is an equation where the variable of the equation has the highest power of degree one.

Given, the 1st bricklayer build a complete wall of certain size in 5 hours.

Therefore, that bricklayer build [tex]\frac{1}{5}[/tex]th of the complete wall in 1 hour.

Similarly, the 2nd bricklayer build a complete wall of certain size in 4 hours.

Therefore, that bricklayer build [tex]\frac{1}{4}[/tex]th of the complete wall in 1 hour.

If they work together, in 1 hour they build a total of ([tex]\frac{1}{5}[/tex]+[tex]\frac{1}{4}[/tex])th = [tex]\frac{9}{20}[/tex] of the complete wall.

Hence, they will complete the wall in (1÷[tex]\frac{9}{20}[/tex]) hours = [tex]\frac{20}{9}[/tex] hours.

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Answer:

6 ⋅ 108 is 2 times larger than 3 ⋅ 106.

(6 x 10^8) ÷ (3 x 10^6) = 200

So the answer is 6 ⋅ 10^8 is 200 times larger than 3 ⋅ 10^6.

Hopes it helps.

Answer:

60 I

Step-by-step explanation:

because it would be 15 times 4 right I think

Answer:

A. y=1/3x+1

Step-by-step explanation:

When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:

3=1/3*6+b

3=2+b

1=b

now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1

Answer:

This should be the answer

Step-by-step explanation:

One = a, c, f, e

Infinite = d

No = b

Answer: $60401.16

Step-by-step explanation:

From the attached image, the total price for the vehicle = $55,927.

If he were to pay the full sticker price for the SUV, the total would sum up to

= $55,927 + 8% sales tax

= $55,927 + 8/100( $55,927)

= $55,927 + 0.08($55,927)

= $55,927 + $4474.16

= $60401.16

The total would sum up to $60401.16