Vanessa deposit $12,000 in a saving account with an annual interest rate of 3.5%. What function represents the value of her account after x year? What will her balance be after 5 years?

Answer:The answer in a fraction is 405/916 and the decimal form is 0.44213973

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Step-by-step explanation:

Answer:

34x-5 = 2x/27+10

or, 34x-5=(2x+270)/27

or, 918x - 135=2x+270

or, 918x-2x=270+135

or, 916x= 405

or, x = 0.44

Answer:

0.4375

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

12x=4(x+2)+20

12x=4x+8+20

12x-4x=8+20

8x=28

x=28/8

simplify

x=7/2

Answer:

x=9

Step-by-step explanation:

[tex]\frac{x+6}{x} =\frac{20}{(20-8)} \\1+\frac{6}{x} =\frac{20}{12} \\\frac{6}{x} =\frac{20}{12} -1\\\frac{6}{x} =\frac{20-12}{12} \\\frac{6}{x} =\frac{8}{12} \\8x=6 \times 12\\8x=72\\x=\frac{72}{8} =9\\x=9[/tex]

Answer:

9

Step-by-step explanation:

The left side of the triangle is 20 units long, the bottom portion is 8 units long.

This means the top portion must be 12 units long, 20 - 8 = 12.

The ratio between the left and right side has to be the same because they are two straight lines.

So if the ration is 8 to 6 or 8/6 which reduces to 4/3 then your ration is 12 to x.

So if... 4/3x=12 then

(3)4/3x = 12(3) multiply both sides by 3

4x = 36 the divide both sides by 4

x = 9

To check you can multipy your answer, in this case 9 by 4/3.

(9)(4/3)  =

(9 x 4)/3 =

36/3 = 12

You did it! Hope this helped.

Answer:

I am not sure but for

CAE it is 65˚

CBD it is 65˚

Step-by-step explanation:

x+40=3x-10

Move the 3x to the other side by subtracting by 3x on both sides

x-3x+40=3x-3x-10

The equation now looks like this:

-2x+40=-10

Move 40 to the other side by subtracting 40 both sides:

-2x+40-40=-10-40

-2x=-50

Divide by -2 on both sides:

-2x/-2=-50/-2

x=25

Since we found out what x is we can replace x in both CAE and CBD:

For CBD: 25+40 is 65

For CAE: 3(25)-10 is 65

Answer:

m∠CAE = 65, m∠CBD = 65

Step-by-step explanation:

Line CA is a transversal of lines AE and BD which are parallel, in this case corresponding angles are congruent. ∠CAE and ∠CBD are corresponding angles so you can make them equal to each other. x+40=3x-10 -> 2x=50 ->x=25. Now that we have x just plug it into the equations 25+40=65 which is m∠CBD. 3(25)-10=75-10=65 is m∠CAE

Answer:

#&*#*#

Step-by-step explanation:

what typa dog is it???

Answer:

Explanation:

Circumference: 18.84

π: 3.14

18.84 ÷ 3.14

Answer: 128.7 inches

Step-by-step explanation:

Josh's height is 66 inches.

When he jumps with a running start, he can jump as far as 195% of his height.

The length he can jump is therefore 195% multiplied by his height:

= Josh height * 195%

= 66 * 195/100

= 128.7 inches

Answer: 128.7

Step-by-step explanation: I've done this question before

Answer:

$61.44

Step-by-step explanation:

Molly. Ben

2x. 3x

40,96÷2x

=20.48

Ben's money

3(20.48

=$61.44

Answer:

4sqrt3 (the third answer), No, All of the statements are true (I think)

Step-by-step explanation:

Answer:

I thinck u did get it write ....

Step-by-step explanation:

Answer:

The answer is (0,-6)

Answer:

[tex]tan 56 = \frac{26}{x}[/tex]

Step-by-step explanation:

[tex]tangent = \frac{opposite}{adjacent}[/tex]

Side z is the hypotenuse, since it is opposite the right angle.

Side x is the adjacent, since it is next to the angle you are solving for.

The side measuring 26 is the opposite, since it is opposite the angle you are solving for.

Answer:

As the number of comics Increases the cost increases

Answer:

increases.

Step-by-step explanation:

The line is climbing higher, and it means that the copies of comics are being sold more and the prices are becoming higher.

Hope this helps!! Have an amazing day ^^

Answer:

first one I am thinking 6.52 and the second one I am thinking 6.67

Step-by-step explanation:

Hope this Helps!!!

Answer:

each person got (x + j) / 8 carrots

Step-by-step explanation:

Answer:

A. The first option

Step-by-step explanation:

Answer:

Option a

Step-by-step explanation:

If the input value only leads to one output than its a function

Answer:

153

Step-by-step explanation:

8x4=32

5x3=15

32-15=17

9x17=153

Answer:

fhmjjjjj hjk, k

Step-by-step explanation:

Answer: A (0.07, 18)

Step-by-step explanation:  An outlier is a value that is far from the central tendencies around what would be the mean and the median values.

In a scatter plot, it's the dots (coordinates) that are far away from the main cluster.

Answer:

10x4=40

Step-by-step explanation:

se calcula multiplicado la base por la altura luego de haber multiplicado esto (10 x 4) el resultado es 40

Answer:

90%

Step-by-step explanation:

90%

is the correct answer

Answer:

x = 2

Step-by-step explanation:

[tex]4(2x-5)+15 = 11 => 4(2x-5) = 11 - 15 => 4(2x-5) = -4 => 2x-5 = \frac{-4}{4} => 2x-5 = -1 => 2x = -1 + 5 => 2x = 4 => x = 2[/tex]

The value of x is 2 for equation 4(2x - 5) + 15 = 11

Two or more expressions with an Equal sign is called as Equation.

The given equation is 4(2x - 5) + 15 = 11

Four times of two x minus five plus fifteen equal to eleven

4(2x - 5) + 15 = 11

Apply distributive property on the LHS

8x-20+15=11

8x-5=11

Add 5 on both sides

8x=16

Divide both sides by 8

x=2

Hence, the value of x is 2 for equation 4(2x - 5) + 15 = 11

To learn more on Equation:

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The mathematical representation of 20P4 is [tex]^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]. so option C is the correct.

We can use combinations for this case,

The Total number of distinguishable things is m.

Here, Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

If the order matters, then each of those choice of k distinct items would be permuted k! times,

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

We have to find the mathematical representation of 20P4.

[tex]^{20}P_4[/tex]

here, m = 20

k = 4

Now substitute;

[tex]^mP_k = \dfrac{m!}{ (m-k)!}\\\\^{20}P_4 = \dfrac{20!}{ (20-4)!}\\\\^{20}P_4 = \dfrac{20!}{ (16)!}\\\\\\^{20}P_4 = \dfrac{20 \times 19 \times 18 \times 17 \times 16!}{ (16)!}\\\\\\^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]

Hence, the mathematical representation of 20P4 is [tex]^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]. so option C is the correct.

Learn more about combinations and permutations here:

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Answer:

r=C/2Pi

Step-by-step explanation:

C=2(Pi)r

r=C/2Pi