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faltersainse [42]
3 years ago
6

Alex invests his money in an account paying 2% interest compounded semiannually. What is the effective annual yield on this acco

unt? Enter your response as a percentage rounded to two decimal places and omit the percent sign (7.25% should be input as 7.25.)
Mathematics
1 answer:
Travka [436]3 years ago
3 0

Answer: 2.01%.

Step-by-step explanation:

Suppose Alex invests $1 into the account for one year. The formula is A=P0⋅(1+rk)N⋅k with P0=$1. We know that r=0.02 and k=2 compounding periods per year. Now, N=1 year. Substituting the values we have A=$1⋅(1+0.022)2=$1.0201. Now, to calculate the effective annual yield, we will use the formula rEFF=A−P0P0. rEFF=1.0201−11=0.0201 or 2.01%. When rounded to two decimals, rEFF=2.01%. However, do not include the % in your answer.

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Answer:

54

Step-by-step explanation:

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8 0
2 years ago
Please help, I beg of y'all <br><br>FIND BD -
puteri [66]

9514 1404 393

Answer:

  14 units

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  BD/BA = CD/CA

  (x+4)/8 = (2x+1)/12

  3(x +4) = 2(2x +1) . . . . . multiply by 24 (the least common denominator)

  3x +12 = 4x +2 . . . . . . . eliminate parentheses using the distributive property

  12 = x +2 . . . . . . . subtract 3x

  10 = x . . . . . . . . . subtract 2

Then the length of BD is ...

  BD = x +4

  BD = 10 +4 . . . . substitute the value of x

  BD = 14

3 0
3 years ago
Ella earns 1.5 her normal hourly rate for overtime pay. Last week, Ella earned $72.00 in overtime pay for 4 hours. What is Ella'
mr_godi [17]

Answer:

Ella's normal hourly pay is $12 per hour.

Step-by-step explanation:

Let us assume that the Ella's Normal hourly pay = $x per hour

Over hourly pay = 1.5 times ( Normal pay)

                           = 1.5 ( x)  =  $ 1.5 x

⇒Ella earns $1.5x in 1 hour of overtime.

So the amount she earns in 4 hour of overtime =  4 times (per hour pay)

                                                                                = 4 ( $1.5x)   = $ 6 x

The amount Ella earned in 4 hours of over time = $72.00

According to the question:

$ 6 x  = $72.00

or, x = 72/6

       =12

or , x  =  $12

Hence, Ella's normal hourly pay is $12 per hour.

7 0
3 years ago
A peregrine falcon can fly 322 kilometers per hour how many meters per hour can the falcon fly
irga5000 [103]
322,000 meters per hour.
4 0
3 years ago
What is 5(y-2)-2=2(y+1)-5? Solve for y and show your work please.
Inessa [10]

Answer:

y = 3

Step-by-step explanation:

Let's start with the left side of the equation.

5(y-2)-2= 2(y+1)-5

5y-10-2= 2(y+1)-5

Now let's solve the right side

5y-10-2= 2y+2-5

5y-12= 2y-3

-2y     -2y

3y-12=-3

   +12 +12

3y = 9

3y/3 = 9/3

y = 3

hope this helps!

4 0
3 years ago
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