A bank offers an APR of 6.4% compounded daily. The annual percentage yield is what percentage?

Answers

Answer 1

Answer:

The annual percentage yield is 6.609%

Step-by-step explanation:

Let's assume

amount invested=$1

so, P=1

APR of 6.4% compounded daily

so, r=6.4%=0.064

n=365

t=1

now, we can use formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

now, we ca plug values

[tex]A=1(1+\frac{0.064}{365})^{365\times 1}[/tex]

we get

[tex]A=1.06609[/tex]

now, we can find APY

[tex]APY=\frac{A-P}{P}\times 100[/tex]

now, we can plug values

[tex]APY=\frac{1.06609-1}{1}\times 100[/tex]

we get

APY is 6.609%

Answer 2

Answer:

The annual percentage yield is 6.609%.

Step-by-step explanation:

The annual percentage yield is calculated by:

APY = [tex](1+\frac{r}{n} )^{n} -1[/tex]

where r is the percentage rate and n refers to the number of times compounded.

So, r = [tex]\frac{6.4}{100}[/tex] = 0.064

Since the APR is compounded daily,

n = 365

Now,

APY = [tex](1+\frac{0.064}{365} )^{365} -1[/tex]

= 6.609% approximately


Related Questions

Simplify the expression 2(8.8x + 17.6)-4.3. what is the constant in the simplified expression

Answers

Answer: 17.6x +30.9


Step-by-step explanation:

the constant is 30.9

1) you distribute the 2 to 8.8. and 17.6

2) then you combine like terms


Answer:

brainliest plsssss

Step-by-step explanation:

Let's simplify step-by-step.

2(8.8x+17.6)−4.3

Distribute:

=(2)(8.8x)+(2)(17.6)+−4.3

=17.6x+35.2+−4.3

Combine Like Terms:

=17.6x+35.2+−4.3

=(17.6x)+(35.2+−4.3)

=17.6x+30.9

Which of the following could be the equation of the function below?

Answers

Answer:

[tex]y=-2cos (2(x+\pi ))-1[/tex]

Step-by-step explanation:

From the graph, we can see that y = -3 when x  = 0.

So to check whether which of the given options is the equation of the given graph, we will set our calculator to the radian mode and then plug the value of x as 0.

1. y = -2 cos (4(x + pi)) - 1 = -2 cos (4(0 + pi)) - 1  = 3

2. y = 2 cos(x + pi) = 2 cos(0 + pi) = -1

3. y = -2 cos (2(x + pi)) - 1 = -2 cos (2(x + pi)) - 1 = -3

Therefore, the equation of this graph is  y = -2 cos (2(x + pi)) - 1.



Dakota makes a salad dressing by combining 6 1/3 fluid ounces of oil and 2 3/8 fluid ounces of vinegar in a jar. She then pours 2 1/4 fluid ounces of the dressing onto Her salad. How much dressing remains in the jar?

Answers

Final answer:

To find out how much dressing remains in the jar, subtract the amount of dressing poured onto the salad from the total amount of dressing made.

Explanation:

To find out how much dressing remains in the jar, we need to subtract the amount of dressing poured onto the salad from the total amount of dressing made.

Dakota combines 6 1/3 fluid ounces of oil and 2 3/8 fluid ounces of vinegar, which gives us a total of 8 17/24 fluid ounces of dressing.

She pours 2 1/4 fluid ounces of the dressing onto her salad. To find out how much dressing remains, we need to subtract 2 1/4 from 8 17/24. Converting the fractions to a common denominator, we have (55/24) - (9/4) = 46/24 - 9/4 = 37/24. This means that 37/24 fluid ounces of dressing remain in the jar.

-4/3x-6=-26

A. -27
B. -15
C. 15
D. 27

Answers

Answer:

C. 15

Step-by-step explanation:

-4/3x-6=-26


The first step is to add 6 to each side

-4/3x-6+6=-26+6

-4/3x =-20  

Now multiply by -3/4 to isolate x.

-3/4 * -4/3x = -3/4 * -20

x = 60/4

x = 15

What is the circumference of a circle of a circle with a diameter of 2.9 use 3.14 for pi

Answers

Answer:

9.106

Step-by-step explanation:

The circumference of a circle with a given diameter is: [tex]C=\pi d[/tex]

We are given the diameter of 2.9 units.

Using 3.14 for pi:

[tex]C=3.14 * 2.9\\\\\boxed{C=9.106}[/tex]

The circumference is about 9.106 units.

Which is the best first step when solving the following system of equations?x+y=3 and 4x-y=7
I Need Answer ASAP
A. Multiply the first equation by 4.
B. Add the first equation to the second equation.
C. Multiply the second equation by -1
D. Subtract the second equation from the first equation.

Answers

The best first step to solve the given equation is to add the first equation to the second equation.

What is an elimination method?

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Given that are two equations, x+y=3 and 4x-y=7

To solve them we will use elimination method, because, in both equations coefficients of y are -1 and +1, if we will add them they will get cancelled, leaving x alone, that will help us find the value of x easily.

Hence, the best first step to solve the given equation is to add the first equation to the second equation.

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What is the nearest cent per ounce in a 24 oz box of corn flakes that cost $4.59

Answers

Answer:

19 cents per ounce

Step-by-step explanation:

$1 = 100 cent

Amount of corn flakes = 24 oz

Cost of corn flakes = $4.59 = 459 cents

Cost per ounce = 459/24 =19.125 = 19 cents/ ounce

∴ The cost of corn flakes is 19 cents per ounce.

Tina uses a $50.00 gift certificate to buy a pair of pajamas for $17.97, a necklace for $25.49, and 3 pairs of socks that each cost the same amount. Tina has to pay $0.33 because the gift certificate does not cover the total cost of all the items. How much does each pair of socks cost?

Answers

Answer:

$2.29

Step-by-step explanation:

She spent the $50.00 gift certificate plus $0.33.

$50.00 + $0.33 = $50.33.

She spent a total of $50.33.

The pajamas cost $17.97.

The necklace cost $25.49.

The total cost of the pajamas and necklace is:

$17.97 + $25.49 = $43.46.

Since she spent a total of $50.33, we now subtract the amount she spent on the pajamas and necklace to find out the cost of the three pairs of socks.

$50.33 - $43.46 = $6.87

The three pairs of socks cost a total of $6.87.

Since all pairs of socks cost the same amount, we now divide $6.87 by 3 to find the price of each pair of socks.

$6.87/3 = $2.29

Each pair of socks costs $2.29.

Easy please help!

A rental company rents a luxury car at a daily rate of ​$37.68 plus​ $.25 per mile. Vanessa is allotted ​$120 for car rental each day. Write an equation to represent the cost C of renting a car and driving x miles. How many miles can Vanessa travel on the ​$120​?

Answers

0.25x + 37.68 = C

[The company charges $0.25 per mile (x) plus $37.68, and C is the total amount of money/cost]


Vanessa has $120 [total amount of money she is given per day],

Since this is the total amount of money she has/can pay with, you can plug in 120 for C

0.25x + 37.68 = 120     Subtract 37.68 on both sides

0.25x = 82.32        Divide 0.25 on both sides

x = 329.28


Vanessa can travel 329.28 miles on the $120

Final answer:

The equation representing the cost of renting a car is C = 37.68 + 0.25x. Setting this equation equal to Vanessa's budget of $120 and solving for x, we find that Vanessa can travel about 329 miles on her budget.

Explanation:

The cost of renting a car for a day can be represented by the equation C = 37.68 + 0.25x, where 'C' is the total cost and 'x' is the number of miles driven. Vanessa has $120 allotted for each day. Therefore to find out how many miles she can travel, we can set the equation equal to 120 and solve for 'x'.

So, 120 = 37.68 + 0.25x

Subtract 37.68 from both sides to isolate the term with 'x'.

82.32 = 0.25x

Finally, divide both sides by 0.25 to solve for 'x'.

x = 329.28

Therefore, Vanessa can travel approximately 329 miles on $120.

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What is h(x)= square root x-2

Answers

It all depends on the value of x. Remember that x must be greater than or equal to 2 or else the number under the square root sign will be negative, which will result in a complex number. The domain is 2<=x and the range is 0<=x.

Graphing it looks like this:




Final answer:

The function h(x) = square root x-2 is a square root function that takes the input x, subtracts 2 from it, and then takes the square root of the result.

Explanation:

The function h(x) = √(x-2) represents a square root function. It takes the input x and subtracts 2 from it, and then takes the square root of the result. The function can be graphed as a curve that starts at (2, 0) and increases as x gets bigger. For example, if we plug in x = 4, h(4) = √(4-2) = √2.

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Given that the points (-1, 5) and (2, 1) are vertices of a rectangle with sides parallel to the axes, how much longer is the length than the width? A) 1 unit B) 2 units C) 3 units D) 4 units

Answers

Answer:

Correct choice is A

Step-by-step explanation:

Two vertices of the rectangle have coordinates A(-1, 5) and B(2, 1). If rectangle sides are parallel to the axes, then two remaining vertices have coordinates C(-1,1) and D(2,5) (see attached diagram for details).

Find the length and the width:

[tex]AC=\sqrt{(-1-(-1))^2+(5-1)^2}=4\ units,\\ \\AD=\sqrt{(2-(-1))^2+(5-5)^2}=3\ units.[/tex]

Then the length is 1 unit longer than the width.

What are the prime factors of 80

Answers

Answer:

The easiest way to get this is through divide and conquer.


Therefore take 1, 2, 3, 5, 7, 9, and 11.


1 is a factor obviously.


2 is a factor since 80 is divisible by 80. We found a factor so divide the value 80 by 2 and we get 40. Is 2 a factor of 40? Yep, so divide again and we have 20. Is 2 a factor of 20. Yep. So is 10. So now we are at 5. But 5 is not a factor of 2. 5 is a factor of 5.


So we have the following 1, 2, 2, 2, 2, and 5. Thus 2 and 5 are your prime factors of 80. Note this is NOT the prime factorization of the number 80. That value is 2^4 * 5. You asked the prime factors of 80. Those are 2 and 5.

Hope this helped good luck

-Emily



classify each triangle

Answers

Answer:

This is an obtuse scalene triangle.

Step-by-step explanation:

This is an obtuse triangle.  An obtuse triangle has an angle greater than 90 degrees.  It is also a scalene triangle because none of the sides are equal.

Which expression uses the greatest common factor and the distributive property to rewrite the sum 60 + 24?

6(10+4) ​

10(6+4) ​

6(10+24)

12(5+2) ​

Answers

Answer: A is the answer


Step-by-step explanation: 6(10 + 4). 6(10 + 4) = 6 × 10 + 6 × 4 =60 + 24


6(10+4) because 6x10=60 and 6x4= 24. And then add the plus sign between 60 and 24. Which is 60+24

what is the reciprocal of 4/5?

Answers

Answer: 5/4


Step-by-step explanation:

I reciprocal of a number can be found if you flip the upper and bottom numbers. Example: the reciprocal of 8 is 1/8

The reciprocal of 4/5 is 5/4.

The reciprocal of a number is when the fraction is turned upside down. This means that the denominator becomes the numerator and the numerator becomes the denominator.

The numerator is 3 and the denominator is 5. IN order to determine the reciprocal 4 becomes the denominator and 5 becomes the numerator. The reciprocal is 5/4.

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Brian wants to purchase a piece of fabric that is between 49 and 53 inches long. He can choose between three pieces of fabric. Choice A is 4 3/4 feet long. Choice B is 4 1/2 feet long. Choice C is 4 1/4 feet long. Which price of fabric should Brian purchase?

Answers

Answer:

the correct answer is c

Step-by-step explanation:


Answer:

Choice C.

Step-by-step explanation:

We now that Brian wants the piece of fabric between 49 and 53 inches, this range is expressed like this

[tex]49<x<53[/tex]

Now, to choose the right answer, we have to transform the from feet to inches and see which one falls into this interval.

Choice A.

We know that 1 ft equals 12 in. If we have [tex]4\frac{3}{4}=\frac{19}{4} ft[/tex], how much inches would be?

[tex]\frac{19}{4}ft\frac{12in}{1ft}=57in[/tex]

As you can see, the choice A is not the right answer because is more than 53.

Choice B.

We do the same process. We know that,  [tex]4\frac{1}{2}=\frac{9}{2}ft[/tex] how much inches would be?

[tex]\frac{9}{2}ft\frac{12in}{1ft}=54in[/tex]

Choice B is not the answer neither, because it's outside the interval.

Choice C.

[tex]4\frac{1}{4}=\frac{17}{4}ft[/tex] how much inches would be?

[tex]\frac{17}{4}ft\frac{12in}{1ft}=51in[/tex]

As you can observe, choice C is in the interval. Therefore, the right answer is choice C, because 51 inches is between 49 and 53 inches.

Multiplying fractions 4/9 times 54

Answers

Answer:

216/9 or simplified 24

Step-by-step explanation:

4

9

×

54

1

=

4 × 54

9 × 1

=

216

9

=

216 ÷ 9

9 ÷ 9

= 24


The value of the expression is 36

What are fractions?

Fractions are simply defined as expressions that are made up of part of a whole number, element, or variable

The different types of fractions in mathematics are;

Simple fractionsImproper fractionsProper fractionsComplex fractionsMixed fractions

From the information given, we have that the expression is;

4/9 times 54

Express mathematically, we have;

4/9 ×54

Divide by the common factor

4 × 6

Multiply the values

36

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What is the sum of ¾ + ⅔ in simplistic form

Answers

We must find the common denominator.

The list of multiples of 4: 0, 4, 8, 12, 16, 20, ...

The list of multiples of 3: 0, 3, 6, 9, 12, 15, 18, ...

The common denominator is 12.

[tex]\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}[/tex]

Therefore:

[tex]\dfrac{3}{4}+\dfrac{2}{3}=\dfrac{9}{12}+\dfrac{8}{12}=\dfrac{9+8}{12}=\dfrac{17}{12}=\dfrac{12+5}{12}=1\dfrac{5}{12}[/tex]

Answer: 17/12 = 1 5/12

help me thx so much for ur help

Answers

To solve this problem, we first need to figure out how much tax will be applied to Neil's purchase.  To do this, we need to multiply the tax rate (5%) by the cost of the washing machine ($445).  But, we can't multiply percentages unless we change them to decimal form first.  To do this, we need to divide the percentage by 100 (because 5 percent is a fraction out of a  total 100 percent) or move the decimal point two spots to the left.  This gives us the following:

0.05 * 445

If we compute this expression, we get:

$22.25

This means that Neil will be charged $22.25 in tax.  However, the question asks for the total cost including tax, so we must add the original cost of the washing machine to the tax.  

$445 + $22.25 = $467.25

Therefore, your answer is $467.25.

Hope this helps!

The answer is $467.25

5% of $445 is $22.25 (that would be tax)
so the total cost including tax would be $445+$22.25
The answer is $467.25

Mrs. Wong has 144 tiles that she is going to place on her square kitchen floor. If the tiles are $3.79 each, how much did Mrs. Wong spend on tile?

Answers

Answer:

Mrs. Wong spend $545.76 on tiles.

Step-by-step explanation:

Mrs. Wong has 144 tiles that she is going to place on her square kitchen floor. If the tiles are $3.79 each, how much did Mrs. Wong spend on tile?

we are given

number of ties=144

cost of one tie=3.79 dollar

we have to find

total cost of 144 ties

for this we will multiply 144 by 3.79

multiplying 144 by 3.79 gives=144*3.79

it other words

one tile cost=$3.79

and for 144 ties cost

multiplying 144 on both sides

144 tiles cost=3.79*144=$545.76

Answer:

She will spend $545.76!

Step-by-step explanation:

To get the answer you must multiply 144 by 3.79. You will end up with $545.76


Good Luck

Please mark me BRAINLIEST

A triangle with angle measures of 45°, 45°, and 90° is an equilateral triangle. True False

Answers

Answer: False


equilateral triangle means all the sides are the same so each one be 60 degrees


Answer:

FALSE.

Step-by-step explanation:

In an equilateral triangle, all angles are equal.

Since they add up to 180°, tke measure of each angle is

180/3 = 60°

Your triangle has two equal angles, so it is an isosceles triangle.

how much time will it take a car travelling at 88km/hr(55mi/HR) to travel 500km?show work

Answers

Answer:

5 15/22  hours

5.6818 hours

Step-by-step explanation:

Distance is equal to the rate times the time

D = rt

We know the rate = 88 km/hr and the distance = 500 km

Substitute these in

500 = 88 *t

Divide each side by 88

500/88 = 88t/88

5 15/22  hours

5.6818 hours


PLEASE HELP FOR 30 POINTS. HURRY GOT TILL 9

Gina was given an irregularly shaped piece of metal and was told that the density of the metal was 12 g/cm3. She measured the mass of the piece to be 276 g. What was the volume of the piece of metal Gina was given? A. 23 cm3 B. 264 cm3 C. 288 cm3 D. 3,312 cm3

Answers

Answer:

A. 23 cm3

Step-by-step explanation:

V= mass ÷ density

12 g/cm3 is the density

276g is the mass.

So, 276 ÷ 12

= 23 cm3




Answer: 14 cm3

Step-by-step explanation:

the quotient of a number and eight, increased by 3/4, is at least -1/4

Answers

Answer:

(x ÷ 8) + 3/4 ≥ -1/4

Step-by-step explanation:

Let "x" be a number.

The quotient of "x" and eight means   x÷8

It is increased by 3/4

(x ÷ 8) + 3/4

The expression is at least -1/4

Here "at least" represents ≥

Therefore, (x ÷ 8) + 3/4 ≥ -1/4

Thank you.

I’ll give brainlest!!!!! Pleaseeeeee!!!!!!

Answers

Answer:

38ft

Step-by-step explanation:

wellcut it in two a rectangle 8 by 3

triangle with the base of 7 and the hight of 4

area for a rectangle bxh so 8 times 3 = 24ft

area for a triangle is bxhx1/2 so 7x4= 28 divided by 2= 14

now add 14+24= 38ft

What is the answer I need help

Answers

Answer:

A

Step-by-step explanation:

Monday he ran the highest because 4.5 is greater than the other numbers given.

Answer:

Monday.

Step-by-step explanation:

We want to know on which day he ran the greatest number of miles.  The largest number is the greatest number of miles.  4.5 is the largest number and that is on Monday

What is the relationship between the changes in the radii and the volume?

Answers

Answer:

The relationship between the volume of a cylinder and its radius. To see that as the radius changes, the volume changes in proportion. Be able to comfortably use the volume of a cylinder formula. π is a constant and height, h, is a constant in this task.


Maya earns 72 dollars for working 5 hours. How long will it take for her to earn 216 dollars at the same pay rate?

Answers

Answer:

15 hours

Step-by-step explanation:

Because you have to divide 72 by 5 to find out much money she makes per hour. You then find out that he makes $14.40 an hour and then you mutliply it bu different numbers until you get 216 and 14.40 times 15 is 216

Compute the open-to-buy for a store with planned purchases of $3,500. Orders received total $975 and merchandise ordered totals $1,200.

Answers

Answer:

$1,325

Step-by-step explanation:

All we have to do is to identify which amount is the goal, and which amount(s) are taken steps toward that goal. Once you identify those, deduct whatever amount(s) that have got you closer to the goal and you will get what is still left to achieve. Or as stated in this example, the open-to-buy amount.


Goal:

$3,500 (as planned)


Steps made toward reaching planned goal:



Orders Received: $975



Merchandise ordered: $1,200


Compute the goal minus the steps achieved so far and Voila! You will get your open-to-buy amount.



$3,500-$975-$1,200=$1,325

Solve each equation. -9X+1=-80

Answers

Answer:

x=9

Step-by-step explanation:

-9x + 1 = -80

-9x = -81           substract 1 from both sides

x= 9                  divide both sides by -9

The solution to the equation -9x + 1 = -80 is x = 9

To solve the equation -9x + 1 = -80, we aim to isolate the variable x on one side of the equation.

First, we can subtract 1 from both sides to get rid of the constant term:

-9x + 1 - 1 = -80 - 1

This simplifies to:

-9x = -81

Next, we divide both sides by -9 to solve for x:

(-9x) / -9 = (-81) / -9

This gives us:

x = 9

Therefore, the solution to the equation -9x + 1 = -80 is x = 9. When we substitute x with 9 in the original equation, we get -9(9) + 1 = -80, which is true, confirming the solution.

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