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1 year ago

An account has a rate of 1.9%. Find the effective annual yield if the interest is compounded quarterly.

Mathematics

1 answer:

True [87]1 year ago

6 0

Answer:

1.914 %

Step-by-step explanation:

Compounded quarterly means 4 periods per year = n

interest in decimal form per period i = .019/4 = .00475

Formula

annual yield = ( 1+ i)^n -1

(1+ .00475)^4 -1 = .01914 = ~ 1.914%

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Which expression is equivalent to StartFraction 2 a + 1 Over 10 a minus 5 Endfraction divided by StartFraction 10 a Over 4 a squ

const2013 [10]

Answer:

$\frac{(2a + 1)^2}{50a}$

Step-by-step explanation:

Given

$\frac{2a + 1}{10a - 5} / \frac{10a}{4a^2 - 1}$

Required

Find the equivalent

We start by changing the / to *

$\frac{2a + 1}{10a - 5} / \frac{10a}{4a^2 - 1}$

$\frac{2a + 1}{10a - 5} * \frac{4a^2 - 1}{10a}$

Factorize 10a - 5

$\frac{2a + 1}{5(2a - 1)} * \frac{4a^2 - 1}{10a}$

Expand 4a² - 1

$\frac{2a + 1}{5(2a - 1)} * \frac{(2a)^2 - 1}{10a}$

$\frac{2a + 1}{5(2a - 1)} * \frac{(2a)^2 - 1^2}{10a}$

Express (2a)² - 1² as a difference of two squares

Difference of two squares is such that: $a^2- b^2= (a+b)(a-b)$

The expression becomes

$\frac{2a + 1}{5(2a - 1)} * \frac{(2a - 1)(2a + 1)}{10a}$

Combine both fractions to form a single fraction

$\frac{(2a + 1)(2a - 1)(2a + 1)}{5(2a - 1)10a}$

Divide the numerator and denominator by 2a - 1

$\frac{(2a + 1)((2a + 1)}{5*10a}$

Simplify the numerator

$\frac{(2a + 1)^2}{5*10a}$

$\frac{(2a + 1)^2}{50a}$

Hence,

$\frac{2a + 1}{10a - 5} / \frac{10a}{4a^2 - 1}$ = $\frac{(2a + 1)^2}{50a}$

4 0

3 years ago

Juniper drives at a constant speed on the highway towards Exit 34. The graph below shows the distance, in miles, that Juniper is

pashok25 [27]

Answer:

Options (2) and (4)

Step-by-step explanation:

Option (1)

The slope of the graph is 60.

From the graph attached,

Slope = $\frac{\text{Rise}}{\text{Run}}$

= $\frac{-210}{3.5}$

= - 60

False.

Option (2)

y-intercept gives the initial distance, in miles from Exit 34.

True.

Option (3)

y-intercept of the graph is 3.5

Since, y-intercept of the graph is 210.

Therefore, Option (3) is False.

Option (4)

Slope gives the rate, in miles per hour, at which the distance to Exit 34 changes over time.

True.

5 0

2 years ago

Joe’s balance in his checking account at the beginning of the month was $132. At the end of the month, it was 15.3% higher. What

Contact [7]

The answer would be $152.20 because 132*1.153=152.196, rounded to $152.20.

4 0

3 years ago

A box of crayons costs $1.75, including taxes. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budg

inna [77]

Answer:

I believe it would be 14

Step-by-step explanation:

7 0

2 years ago

What is the value of x?

Rufina [12.5K]

Answer:

X=23

Step-by-step explanation:

You should know that a triangle =180 degrees

Add all your angles together and =180

66+2x+3+3x-4=180

add similar terms

5x+65=180

Move your 65 to the other side

5x=115

x=23

(Optional)

to check if your answer is right substitute your x and add all angles together you should get 180 degrees.

6 0

3 years ago