The present year is 2014. Which year comes AFTER THE NEXT 3 years?

The simple interest earned is  $17,000.

The interest earned with annual compounding is $25,978.13.

The interest earned with quarterly compounding is $26,583.59.

The interest earned with monthly compounding is $26,722.72.

The formula that can be used to determine simple interest is: principal x time x interest rate

$20,000 x 20 x 0.0425 = $17,000

The formula that can be used to determine the interest earned with compounding is: Future value - amount invested.

The formula that can be used to determine future value is:

FV = P (1 + r/m)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

Annual compounding = $20,000 x (1.0425)^20 = $45,978.13

Interest earned = $45,978.13 - $20,000 =  $25,978.13

Quarterly compounding = $20,000 x (1 + 0.0425/4)^80 = $46,583.59

Interest earned = $46,583.59  - $20,000 = $26,583.59

Monthly compounding = $20,000 x (1 + 0.0425 /12) ^240 = $46,722.72

Interest earned = $46,722.72 - $20,000 = $26,722.72

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Answer:

A. One solution

Step-by-step explanation:

y = 2/3x - 2 has slope of 2/3

2x + 3y = 9

       3y = -2x + 9

         y = (-2/3)x + 3 has slope of -2/3

lines with different slopes have only ONE intersection

The exponential function used to predict the number of visitors during month m is [tex]y = 600(2)^m[/tex]

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let y represent the number of visitors during month m.

There were 600 visits to the site the first month and they double each month, hence:

a = 600, b = 2

The exponential function is given by:

[tex]y = 600(2)^m[/tex]

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Answer:

b part 20 t or i think c part 2t +6

Answer: (2,4)

Step-by-step explanation:

Vertex

|0-2| = 0

|-2| = 0

The graph is shifted 4 units up so therefore (2,4) is the vertex

Answer:

[tex]-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]

Step-by-step explanation:

1) the rule is:

[tex]ln(1+a)=a-\frac{a^2}{2}+\frac{a^3}{3}-\frac{a^4}{4}+...+(-1)^{n-1}\frac{a^n}{n}+...[/tex]

2) according to the rule above:

[tex]ln(1+(-a))=(-a)-\frac{(-a)^2}{2}+\frac{(-a)^3}{3}-\frac{(-a)^4}{4}+...+(-1)^{n-1}\frac{(-a)^n}{n}+...[/tex]

finally,

[tex]ln(1-a)=-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]

sAnswer:189 students

Step-by-step explanation:

The value when 6/24  is divided by 12/16 is equal to 1/3.

To divide the fraction 6/24 by 12/16, we can simplify the problem by multiplying the first fraction by the reciprocal of the second fraction.

Reciprocal of 12/16 is 16/12.

So, the division can be written as:

6/24 ÷ 12/16 = 6/24 × 16/12

6/24 = (6 ÷ 6) / (24 ÷ 6) = 1/4

16/12 = (16 ÷ 4) / (12 ÷ 4) = 4/3

Now, we have:

1/4 × 4/3

To multiply fractions, we multiply the numerators together and the denominators together:

(1 × 4) / (4 × 3)

= 4/12

The fraction 4/12 by dividing both the numerator and denominator by their greatest common divisor, which is 4:

(4 ÷ 4) / (12 ÷ 4)

= 1/3

Therefore, 6/24 divided by 12/16 is equal to 1/3.

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#SPJ6

We need slope/rate of the table

[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{4-2}{6-3}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{2}{3}[/tex]

Slopes of all options

Option D is correct

Option

Find the sum of 12.351 and 0.5362

12.351 + 0.5362 = 12.8872

Step-by-step explanation:

1) plot a point at (0,-5)

2) count 3 units up and 5 units to the right, plot the new point

3) connect the points with a straight line

The statement, The hypotenuse is NOT located across from the right angle is false.

A right-angled triangle is a type of triangle that has an angle that measures 90 degrees. The triangle has three sides. The hypotenuse is the longest side of a right-angled triangle. Other sides are the base and the length. The sum of sides in a a right-angled triangle is 180 degrees.

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Answer:

The rat population in a major metropolitan city is given by the formula n(t)=67e^0.035t where t is measured in years since 1994 and n(t)is measured in millions.

Answer:

c(1) = -15

c(n) = c(n - 1) + 4

Step-by-step explanation:

Given arithmetic sequence is,

-15, -11, -7, -3...........

Common difference between each successive and previous term is,

d = -11 - (-15)

 = -11 + 15

 = 4

Since recursive formula of the arithmetic sequence is represented by,

a₁ = First term of the sequence

a(n) = a(n - 1) + d

where a(n) is the nth term and a(n-1) is the previous term of the nth term.

Form the given sequence,

c₁ = -15

c(n) = c(n - 1) + 4

Step-by-step explanation:

Equaling both equations, it is found that the correct option that states the number of solutions you will have for the system is:

The equations are:

[tex]4y + x = 16 \rightarrow x = 16 - 4y[/tex]

[tex]y = 4 - x \rightarrow x = 4 - y[/tex]

Equaling both equations for x, we have that:

[tex]16 - 4y = 4 - y[/tex]

[tex]3y = 12[/tex]

[tex]y = \frac{12}{3}[/tex]

[tex]y = 4[/tex]

[tex]x = 4 - y = 4 - y = 0[/tex]

Hence, the system has one solution, which is (0,4), and option d is correct.

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Answer:

18 times StartFraction 2 Over 9 EndFraction = 4

Amount of almonds = 18 × [2/9]

Amount of almonds =  4 almonds

Step-by-step explanation:

Given:

Number of mixed nuts = 18

Probability of almonds = 2/9

Find:

Amount of almonds

Computation:

Amount of almonds = Number of mixed nuts × Probability of almonds

Amount of almonds = 18 × [2/9]

Amount of almonds = 36 / 4

Amount of almonds =  4 almonds

Answer:

IT'S B I CAN CONFIRM BC I JUST FINISHED THE TEST

Step-by-step explanation:

Answer:

im pretty sure its the routing number

Step-by-step explanation:

trust me

Answer:

D) y = x + 1

Step-by-step explanation:

D is the answer because the slope is 1 and the y-intercept is 1

Answer:

yeah your teeth is good and strong too

Answer:

You tell me the question properly and i will edit this and put answer

Step-by-step explanation:

Until then bye

Answer:

Read Explanation Below

Step-by-step explanation:

So... I didn't know what you were referencing nor did I see a paper, so I came up with a scenario that I thought would represent this number. (also, if you could send a picture so I know what you're referencing, that would be awesome)

1. When James took a nap at 3pm, he saw that the temperature outside was 70 degrees. However, when he woke up at 8pm, he checked the weather and it was 30 degrees. How much did the temperature change during his nap.  

Answer:

scalene triangle

Step-by-step explanation:

1. Add 2.7 and 1.7 together to discover the total amount

2.7 + 1.7 = 4.4

You would walk 4.4 miles if you walked both trials.  

2. Add the amounts of both trail mixes together

1.7 + 1.4 = 3.1

There were 3.1 pounds of trail mix brought on the hiking trip

3. Subtract answer from 2 by 2 and recieve the answer for this question

3.1 - 2 = 1.1

There were 1.1 pounds of trail mix eaten on this hiking trip

4. Answers:

12.7

6.40

1.2

1.32

[tex]perimeter = 17 + 19 + 7 + 11 + 10 + 8 \\ [/tex]

[tex]perimeter = 72 \: \: cm[/tex]

Answer:

C or the third option.

Step-by-step explanation:

The equation is y = 4x - 4

Hope this helps! Pls give brainliest!

Answer: First question: D, Second question: A

Step-by-step explanation:

Note: I'm not so good at expanding so I'll just solve it :)

So this leaves either C or D

Apply the sum rule:

8-70=-62

The only one that gives a negative sum is D

For the second picture, the one you have chosen is correct

a1 = 3 and r = -5 so:

an = 3/5 * (-5)^n

Plugging in 8 for n (the first choice) we get the given term: -234,375

Answer:

Step-by-step explanation:

Putting n = 0 and n = 1 into the expression being summed will show you which series is correct.

  2 -7n for n=0 is 2 -7·0 = 2

  2 -7n for n=1 is 2 -7·1 = -5

The series of the last choice (d) is correct.

__

The given sequence is exponential with a first term of 3 and a common ratio if -5. Then the n-th term is ...

  an = 3(-5)^(n -1)

We want to find n for an = -234,375.

  -234375 = 3(-5)^(n-1)

  -78125 = (-5)^(n-1)

For n to be a real number, we must have n even. In that case, the value of n is equivalent to the value that is the solution to ...

  78125 = 5^(n -1)

Taking logs of both sides, we get ...

  log(78125) = (n -1)·log(5)

  log(78125)/log(5) = n -1 . . . . . . . . . . . . divide by log(5)

  n = 1 +log(78125)/log(5) = 1 +7 = 8 . . . add 1 and evaluate

-234,375 is the 8th term of the sequence.

Answer:

Step-by-step explanation:

We have no idea what time zone you are in so hope this gets there soon enough.

Do you mean "What fraction of a FULL spool of yarn did he use?" because he used 5/6 of the spool he had.

IF SO

Then

(5/7)(5/6) = 25/42

That's just under 60% of a full spool would be used to complete the same project again.