Suppose you invest $2000 at an annual interest of 5.5% compounded continuously.
a. How much will you have in the account in 10 years?
b. How long will it take for the account to reach $5000?

Answer:

x = 2√5

Step-by-step explanation:

Using the Pythagorean Theorem:

a² + b² = c²

You can identify that x is the hypotenuse, as it is opposite to the right angle.

So:

3² + √11² = x²

9 + [(√11) (√11)] = x²

9 + 11 = x²

20 = x²

√20 = √x²

√4√5 = x

2√5 = x

x = 2√5

Answer:

Step-by-step explanation:

-⅝X = -160

X = 160(8/5) = 256

Answer:

D

Step-by-step explanation:

Answer:

7/16

Step-by-step explanation:

You keep adding 1/16

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

first step is to eliminate the parenthesis,

-9x+3-5x+2=-14x+5

is the choice D

Answer:

41.667

Step-by-step explanation:

Step-by-step explanation:

A list of all possible outcomes in a given event is:

Sample space

Answer:

9,065,738

Step-by-step explanation:

(3.8^3)^4

^ = exponents

[tex](3.8^{3} )^{4}[/tex]

Now lets do the parenthesis first

3.8 * 3.8 * 3.8 = 54.872

[tex](54.872)^{4}[/tex]

54.872 * 54.872 * 54.872 * 54.872 = 9,065,737.908494995

We can round that up to

9,065,738

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

D

Step-by-step explanation:

To solve this you just set the two equations equal to each other and solve for x

-4x+9= -x+6

-3x=-3

x=1

Answer: number 1

Step-by-step explanation:

its most likley the first one its a straight line on the graph

like if this helped

Answer:

y=200x+500

Step-by-step explanation:

Kelly gets a fixed pay of $500 and also $200 for every car she sells

500 is the constant and 200 is the linear earning

the linear equation formula is y=mx+b

substitute your numbers in and you get:

y=200x+500

Answer:

8x - 4

Step-by-step explanation:

Perimeter is the sun of all side lengths. We know the perimeter and two side lengths, so on order to find the third, we need to subtract the first two lengths from the sum. After subtraction, we get 8x - 4.

Answer:

The original price of the item is $440.

Step-by-step explanation:

If you have a discount for 25% and the resulting price is 330, then 330 is 75% of the original price.

Because of the way my brain works, my first thought was that if $330 is 75% of the original price then, 1/3 of 330 would be 25% of the original price. So, I multiplied 330 by 1/3 and got 110. Then I added 110 and 330 to get 440, the original price.

Answer:

$24.5

Step-by-step explanation:

Its $24.5 for the rate of change for EZ Excavation

The  EX Excavation will charge $980 for 40 cubic yards of dirt.

A unit rate means a rate for one of something.

Given a graph showing cost for per cubic yard of dirt.

The unit rate = 196/8 = 490/20 = 637/26 = 24.5

Therefore, for 40 cubic yards of dirt = 40*24.5 = 980

Hence, The  EX Excavation will charge $980 for 40 cubic yards of dirt.

For more references on unit rate, click;

https://brainly.com/question/11258929

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Answer:

the answer is 20.5 i hope this helps you

Step-by-step explanation:

Answer:

20.5

Step-by-step explanation:

divide 10.25÷0.5=20.5

Answer:

can't tell it decreases and increases

Step-by-step explanation:

Answer:

You cannot tell because there are no numbers on the graph and the arrows are pointing in both ways.

Step-by-step explanation:

Plz give me brainliest! :)

Step-by-step explanation:

[tex] \cos( \beta ) = \frac{5}{13} = 0.385[/tex]

Cos (B) in the right angled triangle is 5/13 .

Given,

Right angled triangle .

Now,

In right angled triangle

Perpendicular = 12

Base  = 5

Hypotenuse = 13

So,

According to trigonometric functions,

CosФ = base / hypotenuse

sinФ = perpendicular / hypotenuse

tanФ = perpendicular / base

So,

Substitute the value in the function of cos,

Cos(B) = base / hypotenuse

Cos(B) = 5 / 13

Thus the value of function cos (B) is 5/13 .

Know more about trigonometric functions,

https://brainly.com/question/25618616

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Answer:

$5.72

Step-by-step explanation:

Sorry I was late--

Answer:

I believe the answer is 6cm

Step-by-step explanation:

A = (3 × 4) ÷ 2

A = 12 ÷ 2

A = 6

Answer:34567890-123rgegfgghdhe

Step-by-step explanation:

Answer:

1 . 0.84

3. 21.33

hope it helped have a good day mate

Answer:

1: 00.84 cents

Step-by-step explanation:

12.79- 79= 12.00 79 percent tax. 12.00 -5 = 11.95 79+5 = 84 therefore, you have 00.84 tax  

Answer:

B. 6%

Step-by-step explanation:

Answer:

34 degrees

Step-by-step explanation:

Angle K is similar to Angle R, and Angle R is 34 degrees. So Angle K is also 34 degrees.

Hope it helps!

Answer:

80

Step-by-step explanation:

80 is the answer since 16% of 500 is 80

Answer:

80 students

Step-by-step explanation:

Multiply: 500 times 16%(.16)

500 times .16=80

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/night/afternoon!!!!!

Answer:

Lines C and D

Step-by-step explanation:

Both lines C and D are negative, and they both have the same slope. in order to find the slope you use rise over run; in this case, you go down 2 over left 1. C and D are the only lines that use that slope; therefore, they are the answers.

Answer:

Step-by-step explanation:

5x-2(3x+7)=-10

5x-6x-14=-10

-x=4

x=-4

y=3(-4)+7

y=-5

The area of the sector which is the white triangle adding the shaded region is 68.9/360*π*9.28^2=51.78005(rounding to 5th digit after decimal point for accuracy before we do final round for answer)

The area of the white triangle in the sector has area 1/2*9.28^2*sin(68.9)= 40.17223(rounding to 5 digits again for some accuracy.

Now we take out the white triangle from the sector.

51.78005-40.17223=11.60782

rounding to the nearest tenth we get 11.6 cm^2

Problem done!

Hope this helped and if you have any questions about my explanation just ask in the comment and I will answer.

Answer:

Step-by-step explanation:

from the given information:

The healthy weight of the cat = 35 pounds

with +/- 3

To write the absolute value;

The healthy weight will either be less or greater.

So; w > 35 +3  or    w < 35 - 3

w - 35 > 3        or     w - 35 < -3

Thus, the healthy weight will be |w - 35| > 3

Answer:

A

Step-by-step explanation:

since your in hurry i wont be showing work

Answer: B

is B f(x) = 2 (x-5) (x+8)

Step-by-step explanation:

Because you simplify

f (x) = 2x² + 6x - 80

f (x) = 2x2+6x−80

f (x) = 2x2+6x−80

        = 2 (x−5)(x+8)

hope this help ;)

Answer:

3) m∡ACB = 40 m∡ABC = 63

4) m∡BCA = 14 m∡ABC = 83

Step-by-step explanation:

Since DE is a line it has 180 degrees so:

103 + CAB = 180

CAB = 77 degrees

All triangle interior angles of a triangle add up to 180 degrees, so:

BAC + ACB + CBA = 180

3x - 14 + 3x + 9 + 77 = 180

6x + 72 = 180

6x = 108

x = 18

Plug in your values:

3(18) - 14 = 40

3(18) + 9 = 63

Use the same method for the next problem.

Answer:

No. 3^5 = 3 * 3 * 3 * 3 * 3, which does not equal 3 * 5.

Answer:

no

3^5 is the same as 3x3x3x3x3, which equals 243 compared to 15

Step-by-step explanation: