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leva [86]
3 years ago
12

You invest $1600 in an account paying 5% interest compounded daily. What is the account's effective annual yield? Assume 360 day

s in a year.
The account's effective annual yield is ___% (Round to two decimal places as needed)
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
3 0

Answer:

5.13%.

Step-by-step explanation:

Amount  accumulated in 1 year

= 1600(1 + 0.05/360)^360

= $1682.03

Account's effective annual yield

= 82.03 * 100  / 1600 %

= 5.13%.

You might be interested in
Segment addition with variables
oksian1 [2.3K]

<em>x equals 22</em>

<h2>Explanation:</h2>

____________________________________________

The Segment Postulate states the following:

<em>Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:</em>

\overline{AB}=\overline{AC}+\overline{CB}

____________________________________________

From the figure:

\overline{AC}=8+x \\ \\ \overline{CB}=10 \\ \\ \overline{AB}=40

Our goal is to find x:

\overline{AB}=\overline{AC}+\overline{CB} \\ \\ Substituting \ values: \\ \\ 40=(8+x)+10 \\ \\ 18+x=40 \\ \\ Subtracting \ 18 \ from \ both \ sides: \\ \\ 18-18+x=40-18 \\ \\ \boxed{x=22}

<h2>Learn more:</h2>

Dilation: brainly.com/question/2501119

#LearnWithBrainly

4 0
3 years ago
Please help!!
ZanzabumX [31]

The two linear equations in two variable is:

12 x + 3 y = 40

7 x - 4 y = 38

(a) For a system of equations in two Variable

a x + by = c

p x + q y = r

It will have unique solution , when

\frac{a}{p}\neq \frac{b}{q}\neq\frac{c}{r}

As, you can see  that in the two equation Provided above

\frac{12}{7}\neq \frac{3}{-4}\neq \frac{40}{38}

So, we can say the system of equation given here has unique solution.

(b). If point (2.5, -3.4) satisfies both the equations, then it will be solution of the system of equation, otherwise not.

1. 12 x+3 y=40

2. 7 x-4 y=38

Substituting , x= 2.5 , and y= -3.4 in equation (1) and (2),

L.H.S of Equation (1)= 1 2 × 2.5 + 3 × (-3.4)

                             = 30 -10.20

                               = 19.80≠ R.H.S that is 40.

Similarly, L H S of equation (2)= 7 × (2.5) - 4 × (-3.4)

                                                  = 17.5 +13.6

                                                  = 31.1≠R HS that is 38

So, you can Write with 100 % confidence that point (2.5, -3.4) is not a solution of  this system of the equation.


5 0
3 years ago
There are 25 students in Ms. Nguyen's second-grade class. In the class election, 4 students voted for Benjamin, 12 voted for Sah
fgiga [73]
It is 36%, because a percent is defined as a part to a whole, so in this scenario the part is the number of votes for maria and the whole is the number of kids in the class, so if we put it into fraction form we'll 9/25, which can be increased to 36/100 or you can input it into a calculator and convert to percent form
3 0
3 years ago
Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (1, 1), slope
RSB [31]

Answer:

y=2x-1

Step-by-step explanation:

y-y1=m(x-x1)

y-1=2(x-1)

y=2x-2+1

y=2x-1

Please mark me as Brainliest if you're satisfied with the answer.

7 0
3 years ago
Which equation is equivalent to log^x36=2?
Dennis_Churaev [7]

The equation which is equivalent to \log _{x} 36=2 is x^{2}=36 or x = 6 (\log _{6} 36=2).

<u>Step-by-step explanation:</u>

Given Equation:

           \log _{x} 36=2

As we know, in terms of logarithmic rules, when b is raised to the power of y is equal x:

           b^{y}=a

Then, the base b logarithm of x is equal to y

           \log _{b}(x)=y

Now, use the logarithmic rule for the given equation by comparing with above equation. We get b = x, y = 2, and x = 36. Apply this in equation,

            b^{y}=a

            x^{2}=36

When taking out the squares on both sides, we get x = 6. Hence, the given equation can be written as \log _{6} 36=2

8 0
3 years ago
Read 2 more answers
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