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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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Harman [31]

Answer:

44.95

Step-by-step explanation:

\sqrt{27}  \times  \sqrt{75  }  \\  = 5.19 \times 8.66 \\ 44.9454

Two decimal places = 44.95

5 0
3 years ago
Please help!<br><br> 1. n^6/n^2<br><br> a. 1/n^4<br> b. n^4<br> c. n^8<br> d. n12
Klio2033 [76]
Simplify the following:n^6/n^2
Combine powers. n^6/n^2 = n^(6 - 2):n^(6 - 2)
6 - 2 = 4:Answer:  n^4 thus b: is you Answer
5 0
3 years ago
A can of chicken stock measures 3.5 inches in diameter and is 5 inches tall. What is the volume of the can? Use 3.14 for pi. Rou
Margaret [11]
Volume of can, V = pi * r^2 * h
V = 3.14 * (3.5/2)^2 * 5
V = 3.14 * 1.75^2 * 5
V = 3.14 * 3.0625 * 5
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V = 48.08 inches^3
8 0
3 years ago
Read 2 more answers
what is te discontinuity of the function f(x) = the quantity of x squared plus 6x plus 8 all over x plus 4?
seropon [69]

Answer:

A hole at x=-4.

Step-by-step explanation:

This is a fraction so we have to worry about division by zero.

The only time we will be dividing by 0 is when x+4 is 0.

Solving the equation

x+4=0 for x:

Subtract 4 on both sides:

x=-4

So there is either a vertical asymptote or a hole at x=-4.

These are the kinds of discontinuities we can have for a rational function.

If there is a hole at x=-4, then x=-4 will make the top zero and can be cancelled out after simplification.

If is is a vertical asymptote, x=-4 will make the top NOT zero.

Let's see what -4 for x in x^2+6x+8 gives us:

(-4)^2+6(-4)+8

16+-24+8

-8+8

0

Top and bottom are 0 when x=-4.

Let's see what happens after simplication.

We are going to factor a^2+bx+c if factorable by finding two numbers that multiply to be c and add up to be b.

So what 2 numbers together multiply to be 8 and add up to be 6.

I hoped you said 4 and 2 because (4)(2)=8 where 4+2=6.

\frac{x^2+6x+8}{x+4}=\frac{(x+4)(x+2)}{x+4}=x+2

We we able to cancel out that factor that was giving us x=-4 is a zero.  

Therefore there is a hole at x=-4.

7 0
3 years ago
Unit rate for 3 inches of rain in 6 hours
Travka [436]
3 (inches) / 6 (hrs) = 1/2 (or 0.5) inches per hr <==
6 0
3 years ago
Read 2 more answers
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