An initial amount of $2700 is invested in an account at an interest rate of 3% per year, compounded continuously. Find the amount in the account

after four years. Round your answer to the nearest cent.

Answer:20

Step-by-step explanation:

The value of s after calculation will be s=-1

It is given that

startfraction 1 over 64 endfraction = 4 superscript 2 s minus 1 baseline times 16 superscript 2 s 2

So the mathematical form will be

[tex]\dfrac{1}{64} =4^{2s-1} \times 16^{2s+2}[/tex]

[tex]4^{-3} =4^{2s-1} \times 16^{2s+2}[/tex]

[tex]4^{-3} =4^{2s-1} \times 4^{2(2s+2)[/tex]

[tex]4^{-3} =4^{2s-1+2(2s+2)[/tex]

[tex]4^{-3} =4^{2s-1+2(2s+2)[/tex]

[tex]-3=2s-1+2(2s+2)[/tex]

[tex]-3=2s-1+4s+4[/tex]

[tex]-3=6s+3[/tex]

[tex]-6=6s[/tex]

[tex]s=-1[/tex]

Thus the value of s after calculation will be s=-1

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Answer:-1 is the answer

Step-by-step explanation:

Answer:

round to 330 and 60, add and get 390

Step-by-step explanation:

Answer:

390?

Step-by-step explanation:

Round to nearest 10th
330+60=390

Answer:

the inches is 2.8 inches

Step-by-step explanation:

if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8

there goes your answer.

Answer:

12/17

Step-by-step explanation:

total number of marbles that are purple (11) plus the total number of marbles that are not small (15) minus the number of marbles that are both purple and not small (2)

11 + 15 - 2 = 24

over the total number of marbles (34)

24/34 simplifies to 12/17

answer 13/17

Step-by-step explanation:

you add all the numbers up in the table, which would be 34 and then add up the ones that are big and the ones that are purple, which would be 26 so 26/34 then you simplify.

so 26/34=13/17

The quilt consist of the following geometric shapes, which are the areas

bounded by lines, including;

Geometric shapes are shapes with boundary lines, interior angles and

surfaces.

The possible given quilt is attached;

From the given quilt, we have;

An octagon

A pentagon

A right isosceles triangle

An equilateral triangle

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Answer:

j^13

Step-by-step explanation:

j*j*j*j*j*j*j*j*j*j*j*j*j= j^13

Answer:

j^13

Step-by-step explanation:

Got it right on the quiz

Answer:

18 yd 2 ft

Step-by-step explanation:

56÷3=18 R2

18x3=54+2=56

Answer:

56 ft = 18 yd and 2 ft

Step-by-step explanation:

3 feet = 1 yard

Therefore, to find how many yards and feet are in 56 yards, divide 56 by 3:

⇒ 56 ÷ 3 = 18 remainder 2

Therefore,  

56 ft = 18 yd and 2 ft

The polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.

The square can be defined as a two-dimensional figure that has 4 equal sides.

Given are the equations of the areas of the polynomial.

Option C: [tex]16 x^2 + 24x +9[/tex]

We can write the above equation as,

[tex](4x)^2 + 2 \times 4x \times 3 + (3)^2[/tex]

[tex](a+b)^2 = a^2 + 2ab+b^2[/tex]

Here a = 4x  and b = 3, so

[tex]16x^2 + 24x+9 = (4x+3)^2[/tex]

The simplification of the area of a polynomial is (4x+3)^2 which represents the area of a square.

Hence the polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.

To know more about the area of the square, follow the link given below.

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Answer:

Daniel will need 9 loaves of bread (108 slices)

Step-by-step explanation:

Daniel eats 18 slices of bread a week.

2 slices per week day (2 x 5 = 10)

4 slices per weekend day (4 x 2 = 8)

10 + 8 = 18

he will be there 6 weeks

18 x 6 = 108.

There are 12 slices of bread per loaf.

108 divided by 12 = 9.

Therefore, he will need 9 loaves of bread.

Answer:

21) 79°

22) 46°

23) 120°

24) 100°

Step-by-step explanation:

79 and 79 are corresponding and congruent. 134 and 46 are supplementary (add to 180). 60 and 120 are supplementary (add to 180). 100 and 100 are alt. exterior and congruent

Answer:

-12

Step-by-step explanation:

-12

Sorry if this is correct please mark brainiest

Answer:

32.71

Step-by-step explanation:

32xcot([tex]\frac{108°}{7} \\[/tex]) = 32.70521

Answer:

3:8 mark brainli.st

Step-by-step explanation:

Answer:

6075π ft^3

Step-by-step explanation:

The formula for a cylinder is πr^2 * h

were:

h = height

and r = radius

and because the radius is always 1/2 of the diameter, the radius is 22.5.

So now we plug everything in:

π*22.5^2 * 12

= π*506.25 * 12 =

π * 6075 =

6075π

please don't forget to add the units.

Answer:

If something is squared it is multiplied by itself

Step-by-step explanation:

If 4 was squared it would be like 4 times 4 which is 16

Answer:

12/16 then we have to simplify by finding the largest number that goes into both so from looking i can see that its 4

3/4

Hope This Helps!!!

Answer:

20%

Step-by-step explanation:

If bill is 1x, then the additional 0.2x (to make it 1.2x the total bill) is (0.2/1.0) = 0.20 or 20%

Answer:

I'm guessing the question asks us what is the current balance of the dress after 7 weeks.

So it if drops by 10% every week, we need to find how much it went down one week;

consider 10% as 10/100 in fraction form;

10/100 x 150 = $15, it goes down by $15 each week, but we need to find how much 7 weeks would be:

7 x $15 = $105, it went down $105 so we need to subtract that from the total:

150 - 105 = $45, it would now be currently up for sale for $45.

**rate of change for f(x)**

f(x)=-0.3x^2

-0.3(1)^2=-0.3^2=-0.09

-0.03(5)2=-0.15^2=-0.0225

rate of change = (-0.0225-(-0.09))/(5-1)=0.0675/4=0.016875

f(x) rate of change is 0.016875 or about 0.02

**rate of change for g(x)**

g(x)=-0.6x^2

-0.06(1)^2=-0.06^2=-0.0036

-0.06(5)^2=-0.3^2=-0.09

rate of change = (-0.09-(-0.0036))/(5-1)=-0.0864/4=-0.0216

g(x) rate of change is -0.0216 or about -0.02

**how much greater?**

0.02(-1)=-0.02

g(x) is -1 times of f(x)

Answer:

A

Step-by-step explanation:

the a part is right circle that one

Answer:

Your answer is letter a. 3/8

Answer:

(x-5)(x-2)

Step-by-step explanation:

x^2-7x-10

= x^2-2x-5x+10

= x(x-2)-5(x-2)

= (x-5)(x-2)

Answer:

Yes!

Step-by-step explanation:

Yes, every diameter of a circle is also a chord because a chord of a circle is any line connecting 2 parts of the circle's circumference.

Answer:

24% i think

Step-by-step explanation:

18/75 right?

sooo we cant convert the denominator to 100 so lets just divide it with..nanana. calculator

its

0.24

now move the decimal point two places to the right

24%

Answer: the answer is 33/100 or .33

Answer:

33/100

Step-by-step explanation:

Because since 4/10 + ?= 73/100 that means the denominator get's change so we know that the demonter for the ? number had to have 100 as a denominator.

And since that number has a 100 for their demonter that means we times our demonter(10 until it get's to 100 so how many times do we times 10 to it get's to 100? the answer is 10.

So since we times our denominator we also have to times our numerator by 10 as well what is 4 times 10? Our answer is 40.

So now our fraction 4/10 is now 40/100. what= 73 when you add it to 40?

Our answer for that is 33 how I know is 40+ 33= well lets add the tens what is 40 + 30=70 now add ones 3 so 73 and our denominator is already the same and our fraction now is 73/100. and there's our answer.

4/10(40/100 now because of the calculations) + 33/100=73/100 so we figured out our mysterious fraction| Mysterious fraction=73/100.

Hope this helps have a magnificent day:)

Answer:

yes

Step-by-step explanation:

Hi there!

We want to see if 9, 40, and 41 can be the sides of a triangle that can exist

We can use triangle inequalities to figure that out

For triangle inequalities, if the lengths of the sides are a, b, and c, then a+b>c, b+c>a, and c+a>b, then the lengths can make a triangle
Let's say that a=9, b=40, and c=41

Now substitute these values into the inequalities:

a+b>c

9+40>41

49>41

This is a true statement.

b+c>a

40+41>9

81>9

This is also a true statement.

41+9>40

50>40

This is a true statement as well.

Since all three of the inequalities ended up being true (all three NEED to be true in order for the given lengths to make a triangle), then we can confirm that 9, 40, and 41 can make a triangle

Hope this helps!

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The amount of water the fish tank can hold is 3375 inches³.

where

l = length

Therefore,

length = 15 inches

How much water the tank can hold is the volume of the tank. Therefore,

v = l³

v = 15³

v = 15 × 15 × 15

v = 3375 inches³

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Answer:

the answer is 3

Step-by-step explanation:

20 divided by 6 gives you 3.33333333 but if you estimate it gives you 3

If the total number of juice boxes is 20 and to distribute the juice boxes among 6 friends, The number of juice boxes can you give to each friend will be 3.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

You are given 20 juice cartons, which you distribute to each of your friends. You want to give the same number of juice boxes to each of your six friends.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

The number of juice boxes can you give to each friend is,

=20/6

=3.333 ≈ 3

Thus, if the total number of juice boxes is 20 and to distribute the juice boxes among 6 friends, The number of juice boxes can you give to each friend will be 3.

Learn more about the arithmetic operation here:

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