A savings account earns 4.5% simple interest per year. If $650 is deposited and no withdrawals are made during one year, how much interest will be earned after one year?

Answer:

Step-by-step explanation:

Given the sum of the first n consecutive even numbers expressed as

S=n^2+n where n ≥ 2.

If S  = 210, then;

210 = n² + n

n² + n - 210  = 0

Factorize

n = -1±√1²-4(-210)/2

n = -1±√1+840/2

n = -1±√841/2

n = -1±29/2

n = -1+29/2 and -1-29/2

n = 28/2 and -30/2

n = 14 and -15

Since n ≥ 2, hence the required value of n is 14

Answer:

N/A

Step-by-step explanation:

Answer:The answer is the second option: 36πx^18y^10

Step-by-step explanation:

To solve this exercise, you must follow the proccedure below:

1. You have that:

- The formula for calculate the area of the circle is: A=πr² ("r" is the radius of the circle).

-The problem says that the circle has a radius of 6x^9y^5 (r=6x^9y^5)

2. When you substitute r=6x^9y^5 into A=πr², you obtain:

A=πr²

A=π(6x^9y^5 cm)²

3. By applying the exponents properties, you have:

A=36πx^18y^10 cm²

Answer:

37

Step-by-step explanation:

Split the arrow into a rectangle and triangle. The area of the rectangle is 7x4=28. The area of the triangle is 6*3/2=9. 28+9=37

Answer:

h=0.6m

r=0.75m

h=0.6m/0.75m*100 percent of r.

h=6000/75% of r

h=80% of r

Step-by-step explanation:

The expression of h as a percentage of r would be as;  80% of r.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

WE are given that h is 60% of m.

Also, r is 75% of m.

WE need to find out h as a percentage of r.

Therefore, h=0.6m

r=0.75m

Now we can write as;

h = 0.6m/0.75m x 100 percent of r.

h = 6000/75% of r

h = 80% of r

Hence, the expression of h as a percentage of r would be as;  80% of r.

Learn more about percentages;

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Answer:

x = 10

Step-by-step explanation:

x + 1 = 11

x = 10

Answer: B. 6

Step-by-step explanation:

Let x be the [certain number]

Rephrase the expression

13 less than fourteen times a certain number is twenty-nine more than 7 times that number

14x-13=7x+29

Calculate

Given

14x-13=7x+29

Add 13 on both sides

14x-13+13=7x+29+13

14x=7x+42

Subtract 7x on both sides

14x-7x=7x+42-7x

7x=42

Divide 7 on both sides

7x/7=42/7

x=6

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The equation for this slope will be y=7x-5

Step-by-step explanation:

Hope this helped

Answer:27,24,18

Step-by-step explanation:

sorry if it’s wrong but I think so

Answer:

x° = 145°

Step-by-step explanation:

x° + (2x - 255)° = 180°

3x = 180 + 255

3x = 435

x° = 145°

Answer:

guy above me is wrigth. If you have any doubts see the picture.

Step-by-step explanation:

Hope it helps and mark as brailiest pleasee

Answer:

what is the question here?

Step-by-step explanation:

Answer:

5/16

Step-by-step explanation:

Answer:

The probability that Janet will elect a green marble is that if she shake them up and down. When she puts her hand in she has the move her hand around giving her the chance that she might pick a green marble.

Answer:

10 secs for Jane and Dien is 15 secs

Step-by-step explanation:

Using the together rate, it is found that Jane can eat a pizza in 10 seconds and Dien in 15 seconds.

It is the sum of each separate rate.

In this problem, the rates are:

Hence:

[tex]\frac{1}{x + 5} + \frac{1}{x} = \frac{1}{6}[/tex]

[tex]\frac{x + x + 5}{x(x+5)} = \frac{1}{6}[/tex]

[tex]\frac{2x + 5}{x^2 + 5x} = \frac{1}{6}[/tex]

[tex]x^2 - 7x - 30 = 0[/tex]

[tex](x - 10)(x + 3) = 0[/tex]

The positive solution is x = 10, hence Jane can eat a pizza in 10 seconds and Dien in 15 seconds.

More can be learned about the together rate at https://brainly.com/question/25159431

Answer:

C. Both (1,11) and (-1,-5)

Step-by-step explanation:

Ok so,

let's try to plug in the first ordered pair into the equation. It should look like this:

11 = 8+3

11=11      CORRECT

now let's try to plug in the second ordered pair. it should look like this:

-5 = -8+3

-5 = -5      CORRECT

hope this helps. have a good day!!

Answer:

The slope is 2

Step-by-step explanation:

To solve for slope, it's: y2-y1/ x2-x1.

The points can be (1,0) and (2,2) since they intersect with the slope.

You plug the points into the equation which is 2-0/ 2-1.

This will give you 2/1 or just 2.

Or you can just do rise over run. The slope is going up by 2 and across by 1.

179 pounds

Step-by-step explanation:

yan po makatulong po yan thank you

Answer:

zero property

Step-by-step explanation:

if it equals zero its zero property

Answer:

D. (x - 9)(x+5)

Step-by-step explanation:

[tex]x^{2} - 4x - 45[/tex] is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.

First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.

So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.

B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B

It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.

Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.

The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.

To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.

We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.

Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.

This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.

To learn more about the quadratic equation;

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Answer: $‭3,076.88‬

Step-by-step explanation:

Rachel earns $384.61 per week that she works and she worked for 8 weeks.

Her total earnings are therefore:

= Weekly pay * Number of weeks

= 384.61 * 8

= $‭3,076.88‬

Answer:

18 sides.

Step-by-step explanation:

The interior and exterior angles sum to 180 so:

       I + E = 180

also  I - E = 140       (given)

So, adding to eliminate E:

      2I = 320

I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.

Since the sum of all exterior angles in a polygon = 360 degrees

- the number of sides = 360 / 20 = 18.

Answer:

C a rectangle 4 by 3

Step-by-step explanation:

Answer:

$18,630

Step-by-step explanation:

The cost of every college is expected to increase 3.5% next year.

The cost to attend Westish College is currently $18000.

What is the expected cost to attend Westish College next year?

The increase in the cost for next year is calculated as:

3.5 % × Current cost

= 3.5% × $18,000

= $630.

The expected cost to attend Westish college next year=

$18,000 + $630

= $18,630

Answer:

The answer is number 3

Step-by-step explanation:

[tex] {(x - 3)}^{2} = {x }^{2} - 6x + 9[/tex]

Answer:

answer- 3

Step-by-step explanation:

9(x−3)

2

=x

2

−6x+9

Answer:

B

Step-by-step explanation:

Atomic number is equal to the number of protons in an atom.

Answer:

usually the last numeral in an equation

Step-by-step explanation:

that'll be the y intercept

Answer:

shouldn't it be X.............m

Answer:

5%

Step-by-step explanation:

14/280 is 5%. (Brainliest pls?)

Answer: I think it is 39.2 percent

Step-by-step explanation:

Answer:

5

Step-by-step explanation: