Wyatt invests $1200 into an account that earns 6.2% simple interest for 4 years. He does not make any other deposits or withdrawals. At the end of 4 years, Wyatt invests the entire account balance into a different account that earns 8% simple interest. He leaves the money in the account for 5 years without making any additional deposits or withdrawals. What is the new account balance at the end of 5 years? Drag and drop values into the boxes to correctly complete the statements. ​

Explanation:

When x is zero or larger, then |x| = x.

An example: |9| = 9

This applies to |3x| as well, so |3x| = 3x when [tex]x \ge 0[/tex]

It should be noted that the probability that a student will earn at least one 5 will be 0.3152.

Test P(x). P(at least one 5)

1. 0.4. 0.2

2. 0.45. 0.36

3. 0.15. 0.488

Therefore, the probability that a student in the AP curriculum will earn at least one 5 will be:

= (0.4 × 0.2) + (0.45 × 0.36) + (0.15 × 0.488)

= 0.3152

In conclusion, the correct option is 0.3152.

Learn more about probability on:

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Answer:

D

Step-by-step explanation:

V=(1/3)(pi)(r^2)(h)

=(pi/3)((x/2)^2)(x)

=(pi/3)(x^2/4)(x)

=x^3 * pi/12

Answer:

D

Step-by-step explanation:

One-twelfthπx3

Answer:

  a.  2/5; reduction

Step-by-step explanation:

It appears that C is the center of dilation, so C' and C are coincident. The scale factor is ...

  P'C'/PC = 4/10 = 2/5 . . . scale factor

The scale factor is less than 1, so the dilation is a reduction in size.

Answer:

24.05

Step-by-step explanation:

24.005 has more numbers but worth less

24.05 is more

Answer:

72

Step-by-step explanation:

=> 4(n+13)

putting the value of n which is 5

=> 4(5+13 )

=> 4(18)

=> 72

Answer:

x = 10i - 10i

Step-by-step explanation:

3x^2 + 300 = 0

3(x^2 + 300) = 0

x^2 + 100 = 0

x^2 = -100

x = -100 (sqr root)

x = 10i - 10i

Hope this is more of the answer you where looking for.

Answer:

10

Step-by-step explanation:

it just is

Answer:

1. 103        

2. 156

3. 114
4. 115.14

5. 140

6. 123.8

7. 120.28

8. 107

Step-by-step explanation:

Answer:

hope it helps you :)) !

Answer:

5.524 in 2 significant figures rounding the value to 2 non zero numbers.

5.524 = 5.5 (2 significant figures)

Answer:

  (c)  (6, -3)

Step-by-step explanation:

Reflection over both axes is the same as reflection across the origin, or rotation 180° about the origin. It has the effect of negating both coordinates:

  (x, y) ⇒ (-x, -y) . . . . . reflection over both axes

The coordinates of A are (-6, 3), so the coordinates of A' will be ...

  A(-6, 3) ⇒ A'(6, -3)

Answer: 10

Step-by-step explanation:

Answer:

ok so the shaded area will be the larger rectange minus the smaller one so lets find the area of both by multiplying the sides

(5x)(8x+1)=40x^2+5x

(4x)(2x)=8x^2

so

40x^2+5x-8x^2

32x^2+5x or

x(32x+5)

so a

Hope This Helps!!!

Answer:

35 miles

Step-by-step explanation:

At the start, you lose $8.5 for tolls and the taxi cost.
You're left with $31.5 after that, every mile costs you $0.9, so you can go 31.5 : 0.9 = 35 miles.

Answer:

We cannot calculate this probability because the sampling distribution is not normal.

Step-by-step explanation:

Since the parent population is not normally distributed, the small sample size will result in a sampling distribution that isn't normal.

Answer:

2 : 3

Step-by-step explanation:

bananas to apples = 8 : 12

simplify by dividing both values by highest common factor of 4:

8 ÷ 4 : 12 ÷ 4 = 2 : 3

ratio remains same.

[tex]\\ \tt\longrightarrow \dfrac{2}{14}=\dfrac{7}{2z}[/tex]

[tex]\\ \tt\longrightarrow 4z=14(7)[/tex]

[tex]\\ \tt\longrightarrow 4z=98[/tex]

[tex]\\ \tt\longrightarrow z=98/4[/tex]

[tex]\\ \tt\longrightarrow z=24.5[/tex]

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

3(-2)(-1)(-1)= -6

[RevyBreeze]

Answer:

Volume = 904.78 yards

Step-by-step explanation:

The formula for a sphere is:

V=4/3πr³

Since we already know that the radius is 3 yards and that π is 3.14 all we have to do is plug in the numbers.

V=4/3(3.14)(6)³

V=4/3(3.14)(216)

V=4.1897(216)

V≈904.78 yards

Answer:

We cant see the writing it is too small

Step-by-step explanation:

taking a peek at the picture, we can see that the U-turn or vertex occurs at the point (2 , -9), and we can also see that the graph passes through the point say (5 , 0).

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{vertex}{(2~~,~-9)}\qquad y=a(x-2)^2-9\qquad \qquad \textit{we know that} \begin{cases} x=5\\ y=0 \end{cases} \\\\\\ 0=a(5-2)^2-9\implies 9=9a\implies \cfrac{9}{9}=a\implies 1=a~\hfill \\\\\\ y=1(x-2)^2-9\implies \boxed{y=(x-2)^2-9}[/tex]

Answer: 1. x=2,-5/3

Step-by-step explanation:

Answer:

$54

Step-by-step explanation:

Original Price = $90

Discounted = 40%

Percent to decimal 40% = .40

$90 x .40=36 ( 36 is the Discount)

$90 - 36=54

Sale Price = $54

Hence, Sale Price = $54

[RevyBreeze]

Answer:

x = 269

explanation:

solve:

5 * x = 1345

x = 1345/5

x = 269

Therefore x is 269.

note: changing sides changes multiplication(*) to division(/) and division(/) to multiplication(*).

Answer:

x = 269

Step-by-step explanation:

For this question, they are asking you to create a problem out of the information given. For this problem, we will require the use of division. Before we can solve, we need to create the problem first.

Because the problem says 5 multiplied by x, we have to multiply these two. (Important:) Anytime you are multiplying a coefficient (5 in this case) by a variable (x in this case) we have to put the coefficient in front of the variable, like this:

5x _ ___.

Now that we know that, the question states that this basically equals 1345. With that said, that just gave us the rest of the problem. Now let's put it together:

5x = 1345.

Now we can solve. To single out the variable (x) to find our answer, divide 5 into 1345:

5x = 1345

5        5

So, 1345 ÷ 5 = 269. After that, we are left with x and 269 (because the 5 was canceled out with the division). So, the answer is:

x = 269.

I hope that this helps.

Answer:

7800

I already take a homework with this question

Answer:

square root of 4 is 2, 1/2 of 2 is 1

Step-by-step explanation:

The equation of a line that is tangent to the graph of f and parallel to the given line is; y = 3x + 2 and y = 3x - 2

The given equation of the line is 3x - y + 3 = 0

In slope intercept form, this can be rewritten as;

y = 3x + 3

Therefore, the slope of this line will be 3 since in y = mx + c, m is the slope. Thus, the slope of the parallel line will be  3

We will be looking for the value of x when the derivative of f(x) equals 3.

f(x) = x³ and so f'(x) = 3x²

Thus;

3x² = 3

x² = 3/3

x² = 1

x = 1 or -1

Thus;

y = 1³ or y =-1³

y = 1 or -1

Equation of tangent is;

y - 1 = 3(x - 1)

y - 1 = 3x - 3

y = 3x - 2

or y - (-1) = 3(x - (-1))

y + 1 = 3x + 3

y = 3x + 2

Read more about slope intercept form at; https://brainly.com/question/1884491

Answer:

x³ + 1

Step-by-step explanation:

to evaluate (f ￮ g)(x) , substitute x = g(x) into f(x)

f(g(x) )

= f(x³)

= x³ + 1