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3 years ago

2. Which investment would earn the most money by retirement at age 65?

1 answer:

7 0

First investment will return $54,515
Second investment will return $25,000
Third invest willment return $50,338

I think that third investment would earn the most money as it make at age 45. So 20 years difference in comparison with first investment and only about $4,000 difference in money.

So the third variant would earn the most money.

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Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=10

Tju [1.3M]

Answer: 0.8238

Step-by-step explanation:

Given : Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with $\mu=106$ and $\sigma=15$ .

Let x denotes the scores on a certain intelligence test for children between ages 13 and 15 years.

Then, the proportion of children aged 13 to 15 years old have scores on this test above 92 will be :-

$P(x>92)=1-P(x\leq92)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{92-106}{15})\\\\=1-P(z\leq })\\\\=1-P(z\leq-0.93)=1-(1-P(z\leq0.93))\ \ [\because\ P(Z\leq -z)=1-P(Z\leq z)]\\\\=P(z\leq0.93)=0.8238\ \ [\text{By using z-value table.}]$

Hence, the proportion of children aged 13 to 15 years old have scores on this test above 92 = 0.8238

4 0

2 years ago

I need help im not understanding how to do this

galina1969 [7]

Answer:

(c, b)

Step-by-step explanation:

Add the coordinates together and divide by 2

x coordinates: 2c + 0 = 2c, divided by 2 = c

y coordinates: 0 + 2b = 2b, divided by 2 = b

3 0

2 years ago

Read 2 more answers

Let F⃗ =2(x+y)i⃗ +8sin(y)j⃗ .

Alik [6]

Answer:

-42

Step-by-step explanation:

The objective is to find the line integral of $F$ around the perimeter of the rectangle with corners (4,0), (4,3), (−3,3), (−3,0), traversed in that order.

We will use <em>the Green's Theorem </em>to evaluate this integral. The rectangle is presented below.

We have that

$F(x,y) = 2(x+y)i + 8j \sin y = \langle 2(x+y), 8\sin y \rangle$

Therefore,

$P(x,y) = 2(x+y) \quad \wedge \quad Q(x,y) = 8\sin y$

Let's calculate the needed partial derivatives.

$P_y = \frac{\partial P}{\partial y} (x,y) = (2(x+y))'_y = 2\\Q_x =\frac{\partial Q}{\partial x} (x,y) = (8\sin y)'_x = 0$

Thus,

$Q_x -P_y = 0 -2 = - 2$

Now, by the Green's theorem, we have

$\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA = \int \limits_{-3}^{4} \int \limits_{0}^{3} (-2)\,dy\, dx \\ \\\phantom{\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA}= \int \limits_{-3}^{4} (-2y) \Big|_{0}^{3} \; dx\\ \phantom{\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA}= \int \limits_{-3}^{4} (-6)\; dx = -6x \Big|_{-3}^{4} = -42$

4 0

2 years ago

WILL GIVE BRAINLIEST! what are the values of a and b so the system of equations has infinitely many solutions?

larisa86 [58]

Answer:

a = 6

b = 3/4

Step-by-step explanation:

They both need to have the same slope.

The slope in the first equation is 6

That means that the second equation must have a = 6

They both need to have the same y intercept

The second equation has a y intercept of 3/4

Therefore b in the first equation, must be 3/4

3 0

2 years ago

Which of the following is the linear parent function?A.F(x) = 2xB.F(x) = |x|C.F(x) = x2D.F(x) = x

Daniel [21]

The linear parent function is f(x)=x

7 0

3 years ago