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2 years ago

WILL GIVE BRAINLIEST

Mathematics

1 answer:

liubo4ka [24]2 years ago

4 0

Answer:

44.81%

Step-by-step explanation:

First determine the z-scores for 3.5 and 5.5 years. After matching the z-scores with the areas under the standard normal curve, subtract the smaller area from the larger area to solve.

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Find the annual percentage yield (APY) in the following situation. A bank offers an APR of 4.8% compounded daily. The annual per

sweet-ann [11.9K]

Answer:

4.92%

Step-by-step explanation:

First of all, recall that if you increase a number C in x%, then you will have $C+\frac{x}{100}C=C(1+\frac{x}{100})$

So <em>increasing a number in x% is equivalent to multiply it by (1+x/100) </em>

Now, suppose you have deposited $C where C is any amount > 0

If the bank offers an APR of 4.8% compounded daily, it means that your money increases $\frac{4.8}{365}\%=\frac{0.048}{365}$ daily.

So, after 365 days you will have

C multiplied by (1+0.048/365) 356 times, that is

(1) $C(1+\frac{0.048}{365})^{365}=C(\frac{365.048}{365})^{365}$

Now, you want to find a value x, such that C increased in x% equals the amount in (1).That would be the percentage your money increased in one year (APY)

$C(\frac{365.048}{365})^{365}=C(1+\frac{x}{100})\Rightarrow x=100[(\frac{365.048}{365})^{365}-1]$

Computing this amount, we get

x = 4.92 rounded to the nearest hundreth.

And the bank is offering an APY of 4.92%

7 0

3 years ago

I'm not sure how to answer this. Could I get some help?

Sunny_sXe [5.5K]

Answer:

3/5

Step-by-step explanation:

Sine = opp/hypotenuse

The opposite of a is 3, and the hypotenuse is 5. Therefore, the sine is 3/5.

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Find three real numbers x, y, and z whose sum is 6 and the sum of whose squares is as small as possible. g

mart [117]

We're minimizing $x^2+y^2+z^2$ subject to $x+y+z=6$ . Using Lagrange multipliers, we have the Lagrangian

$L(x,y,z,\lambda)=x^2+y^2+z^2+\lambda(x+y+z-6)$

with partial derivatives

$\begin{cases}L_x=2x+\lambda\\L_y=2y+\lambda\\L_z=2z+\lambda\\L_\lambda=x+y+z-6\end{cases}$

Set each partial derivative equal to 0:

$\begin{cases}2x+\lambda=0\\2y+\lambda=0\\2z+\lambda=0\\x+y+z=6\end{cases}$

Subtracting the second equation from the first, we find

$2x-2y=0\implies x=y$

Similarly, we can determine that $x=z$ and $y=z$ by taking any two of the first three equations. So if $x=y=z$ determines a critical point, then

$x+y+z=3x=6\implies x=y=z=2$

So the smallest value for the sum of squares is $2^2+2^2+2^2=12$ when $(x,y,z)=(2,2,2)$ .

8 0

3 years ago

Help plz???? I need help with math

tekilochka [14]

Surface area is the area of the faces added together.

First lets find the area of one of the triangles.

Area of triangle is 1/2*base*hight

Area=1/2*2*3= 3

Area of ONE tringle is 3, and area of the FOUR tringles is 4*3 whihc is 12

Now lets find area of square

area of square is side*side

So, area is 2*2 which is 4

Now lets add area of triangles+area of square

12+4 which 16

Surface area is 16

6 0

3 years ago

What is the area of the composite figure?

Liula [17]

I cant see one of the numbers

8 0

3 years ago