Use the formula for computing future value using compound interest to determine the value of an account at the end of 6 years if a principal amount of $6,000 is deposited in an account at an annual interest rate of 6​% and the interest is compounded quarterly.

Answers

Answer 1
Answer:

Answer: the value of the account at the end of 6 years is is $8577

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 6000

r = 6% = 6/100 = 0.06

n = 4 because it was compounded 4 times in a year.

t = 6 years

Therefore,.

A = 6000(1+0.06/4)^4 × 6

A = 6000(1+0.015)^24

A = 6000(1.015)^24

A = $8577


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ordered pairs in which of these formats do not have to represent a function? (Length of side of a square,perimeter of square)​

Answers

Answer: the answer is base of triangle, height of triangle

got it wrong because of that other guy answers was wrong

Answer:

perimeter of square

Step-by-step explanation:

a football is selling for 35% off the original price. the original price was $60. what is the sale price of the football.

Answers

The percentage is calculated by dividing the required value by the totalvalue and multiplying by 100.

Example:

Requiredpercentage value = a

totalvalue = b

Percentage = a/b x 100

100% = $60

35% = $21

The saleprice of the football is $21

What is a percentage?

The percentage is calculated by dividing the required value by the totalvalue and multiplying by 100.

Requiredpercentage value = a

totalvalue = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Originalprice = $60

Sellingprice.

= 35% of $60

= 35/100 x 60

= 7 x 3

= $21

We can also find this way.

100% = $60

35% = 35/100 x $60

35% = $21

Thus,

100% = $60

35% = $21

The saleprice of the football is $21

Learn more about percentages here:

brainly.com/question/11403063

#SPJ5

35% is the same as 0.35
The word "of" in math basically means multiply.
So if 0.35 of 60 is how much is off the original price, then you multiply 0.35 by 60.
=21. So 21 is how much you save. Take 60 and subtract 21 is the answer.
ANSWER: 39
Hope this helped!!

Which value of K will make x^2-1/4x+k a perfect square trinomial?

Answers

For this case we have the following polynomial:
 x^2 - (1)/(4)x + k
 We suppose that we have a standard equation of the form:
 ax ^ 2 + bx + c
 To make a perfect square trinomial, we need to complete the square.
 Therefore, the value of c is:
 c = ((b)/(2))^2
 Using this definition for this case, we have:
 k = (((-1)/(4))/(2))^2
 k= ( (-1)/(8) )^2
 k = (1)/(64)
 Therefore, the perfect square trinomial is:
 x^2 - (1)/(4)x + (1)/(64)
 Answer:
 
The value of k is:
 
k = (1)/(64)
1/64, because (-1/4)/2 is -1/8, and -1/8  ^2 is 1/64

Can the figure below tessellate a plane? Explain your answer

Answers

A tessellation is created when a shape is repeated over and over again covering a plane without leaving any gaps or overlaps. Tessellation is also known as tiling. Triangles, squares and hexagon are perfect examples of figures that can create tessellation.


The figure below cannot, because there will be gaps.

I hope it helps, Regards.

The radian measure equivalent to -45º is _____.

Answers

(-π/4) ...... is the answer !!
2pi radians=360 degrees
ratio and proprtion thing  I guess

r/2pi=-45/360
r/2pi=-1/8
times both sides by 8pi
4r=-pi
divide both sides by 4
r=-pi/4

-pi/4 radians

HELP MEH YOU GET 18 points!

Answers

Rotating 90° clockwise from quadrant 2 means you are reflecting over the y-axis into quadrant 1.  What do quadrant 1 coordinates look like? both x and y are positive and are reversed.

   (-x, y) → (y, x)

A: (-8, 1) →  (1, 8)

B: (-6, 4) → (4, 6)

C: (-2, 1) → (1, 2)

A. (-8, 1) →  (1, 8)

C. (-2, 1) → (1, 2)

im so sorry but i dont know what b. is hope this helps tho :)