Juan decided to start savings for college. He deposited $500 into an account which earns 4% simple annual interest. At the end of each year, he will add $250 to this account. How much will he have in his account after the end of three years?

a
$550
b
$770
c
$1,050.80
d
$1,342.83

Answer:

3

Step-by-step explanation:

A common difference is found in arithmetic sequences. The simplified formula for arithmetic sequences, which is what is used here, is [tex]a_{n}=dn-a_{0}[/tex]. Where d is the common difference and [tex]a_{0}[/tex] is the zeroth term. So, in the given equation 3 must be the common difference.

Answer:

(x - 8)^2 + (y + 6)^2 = 4.

Step-by-step explanation:

The general equation is:

(x - a)^2 + (y - b)^2 = r^2.

Plugging in the given values:

(x - 8)^2 + (y - (-6))^2 = 2^2

(x - 8)^2 + (y + 6)^2 = 4.

Answer:

In basicallity if a question such as this pops up, the correct way to go would first be to graph this. y=x-4 would be equivalent to x=4.

My paper work is below:

y = x - 4

0 = x - 4

-x = -4

x = 4

Hope this helped..

Answer:

(1.) -32.4 (2.) 99.94

Step-by-step explanation:

plz mark 5 str, helpful, and brainliest!

Answer:

ok

Step-by-step explanation:

Answer: the distance from x axis is 4

Step-by-step explanation:

the y coordinate is 2 the x axis is on the bottom and 2 units for each number so 4 units

Answer:

Since e on the y-axis is 2, e on the x-axis would be 2 if you look at its distance from the x-axis because you have to look at the intersect

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the slope of the given line is 2

parallel lines have the same slope so the answer is 2

Answer:

A. 95 degrees

Step-by-step explanation:

Both angles should add up to 180

85+_95_=180

Answer: 4

Step-by-step explanation:

First we need to find the difference of the balance.

it was -80 then it became -44. The difference is 36.

Next we divide 36 by 9 from the 9 parents.

The answer is 4

The exact value of the cotangent of theta in simplest radical form is -21/20.

What is the simplest radical form?

The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.

To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.

Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:

[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]

Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:

cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)

sin(theta) = opposite/hypotenuse = -20/sqrt(1241)

Now we can find the value of cotangent of theta:

cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))

= -21/20

Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.

To learn more about the simplest radical form, visit:

https://brainly.com/question/565192

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Answer:

The square roots of 49·i in ascending order are;

1) -7·(cos(45°) + i·sin(45°))

2) 7·(cos(45°) + i·sin(45°))

Step-by-step explanation:

The square root of complex numbers 49·i is found as follows;

x + y·i = r·(cosθ + i·sinθ)

Where;

r = √(x² + y²)

θ = arctan(y/x)

Therefore;

49·i = 0 + 49·i

Therefore, we have;

r = √(0² + 49²) = 49

θ = arctan(49/0) → 90°

Therefore, we have;

49·i = 49·(cos(90°) + i·sin(90°)

By De Moivre's formula, we have;

[tex]r \cdot (cos(\theta) + i \cdot sin(\theta) )^{\dfrac{1}{2}} = \pm \sqrt{r} \cdot \left (cos\left (\dfrac{\theta}{2} \right ) + i \cdot sin\left (\dfrac{\theta}{2} \right ) \right )[/tex]

Therefore;

√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))

∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))

√(49·i) = ± 7·(cos(45°) + i·sin(45°))

The square roots of 49·i in ascending order are;

√(49·i) = - 7·(cos(45°) + i·sin(45°))  and  7·(cos(45°) + i·sin(45°))

Answer:

D

19+5 is the total in her collection

multiply by three to triple

(19+5)x3

Answer:

D(19+5)x3

Step-by-step explanation:

she has 19, then don gave her 5 more

19+5

her father also offered to buy her three times so

(19+5)x3

Answer:

- The neighbor that has the most amount of fence to put up is: Neighbor A.

- The neighbor that has the least amount of fence to put up is: Neighbor C.

Step-by-step explanation:

To calculate the amount of fence that Neighbor A has to put up, you need to add the following distances:

Convert yards to feet (Remember that :

To calculate the amount of fence that Neighbor B has to put up, you need to use the formula for calculate the circumference of a circle:

Where r is the radius.

In this case, the radius is:

Substituting, you get:

To calculate the amount of fence that Neighbor C has to put up, you need to add the following distances:

Therefore, the neighbor that has the most amount of fence to put up is: Neighbor A.

The neighbor that has the least amount of fence to put up is: Neighbor C.

hope this helps btw i just copy and pasted this so its not my work

Answer:

- The neighbor that has the most amount of fence to put up is: Neighbor A.

- The neighbor that has the least amount of fence to put up is: Neighbor C.

Step-by-step explanation:

Answer:

$50.50

Step-by-step explanation:

From the above question, we are to find the total cost of the tickets Mr Montes bought

An adult ticket to the school play cost $14.75.

A child ticket cost $5.25.

Mr. Montes bought 2 adult tickets and 4 child tickets.

Hence, the total cost is

= 2 × $14.75 + 4 × 5.25

= $29.5 + $21

= $50.50

Answer:

D should be the one that DOES NOT represent a linear function

Answer:

0.08333333333

hope this answer helps you!

Answer:

1/12

Step-by-step explanation:

Using a calculator and rounding the result (quotient) off, we get:

64/768 = 0.083333...  (approximately) or 1/12 (exact quotient)

Answer:

4 & 8

Step-by-step explanation: hope this helps :)

Answer:

$12.30 is the tip

Answer:

$12.30 is the answer.

Step-by-step explanation:

82 * 0.15 = 12.3

Answer:

0.54

Step-by-step explanation:

Answer:

moon and stars wonder

where have all the people gone

alone in hiding

Step-by-step explanation:

Answer:

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Step-by-step explanation:

qw

Answer:

2004

Step-by-step explanation:

if it was 2005 theyd be 15

Answer:

30-25%=22.5

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

25% of 30=7.5

30-7.5=22.5

Answer:

x represents the number of shirts purchased

Step-by-step explanation:

Each time Nick buys a shirt, he has an outlay of $12.  One shirt for $12, two shirts for $24, and so on.  So the amount due for the purchase of x shirts is ($12/shirt)x, where x represents the number of shirts purchased.

Answer:

y=12 .

180-106=74

74+3y+22+4y=180

96+7y=180

7y=84

y=12

4×12 = 48

Step-by-step explanation:

Good luck dear ;)

Answer:

[tex]5x \: + \: 13x \: = 180[/tex]

Answer:

2x+4 or 4+2x

Step-by-step explanation:

Answer:

1/100

Step-by-step explanation:

Hope it helps

Please brainliest

Answer:

7/15

Step-by-step explanation: