Andy has $100 in an account. The interest rate is 6% compounded annually.

Answers

Answer 1

The equation that represent the amount in the account after t years is A = 100(1.06)^t

Compound interest

This is an interest on an amount of money. The formula for calculating the compound interest is expressed as;

A = P(1 + r)^t

P is the principal = 100

r is the rate = 6% = 0.06

If the interest is compounded annually, the equation that represent the amount in the account after t years is given a:

A = 100(1+0.06)^t
A = 100(1.06)^t

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Answer 2

Answer:

112.36

Step-by-step explanation:

I took the test on IXL and this was the question.

Andy has $100 in an account. The interest rate is 6% compounded annually.

To the nearest cent, how much will he have in 2 years?


Related Questions

what is the answer to this? ​

Answers

Answer:

the answer is c

Step-by-step explanation:

its c i dont know what the words say tho i need to read what it say first.

The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 1 and a root of multiplicity 1 at x = − 2 . The y -intercept is y = − 0.2 .

Answers

Answer:

The polynomial of degree 3 ,P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at x=−1. The y-intercept is y=−0.2


helps pls with this math problems . I’ll give Brainly

Answers

The entrance fee is d dollars, and the meal ticket is $4 less than the entrance fee -> Each meal ticket is d - 4

So, the total amount that the friends pay is 5(d-4)

What’s 9+10 equal to???

Answers

Answer:

19

Step-by-step explanation:

9+10=19

11+8=19

Hope it Helps


19

10+9=19





have an amazing day

Which proportion could you use to convert 5 gallons to quarts?
Convert.
5gallons=
quarts

Answers

1 gallon is equal to 4 quarts, so there are 20 quarts in a gallon

ANSWERS FOR THESE!!!

Answers

Answer:

Question 23) 12 x 6√3 = 72√3

Question 24) 672 cm³

If you travel 60 feet in 4 seconds, how fast are you going in yards per minute?

Answers

Answer:

approximately 300 yards per minute

Step-by-step explanation:

The speed of the jet Alyssa flew on from Boston to London was 480
mph. On her return flight, the speed of the jet was 600 mph with a tail
wind. What was Alyssa's average speed on the round trip? Round your
answer to one decimal place.

Answers

Answer:

540 Mies per hour

Step-by-step explanation:

add 600 and 480 then divide by 2

Alyssa's average speed on the round trip is 540 Mies per hour.

We have given,

The speed of the jet Alyssa flew on from Boston to London was 480

mph.

On her return flight, the speed of the jet was 600 mph with a tail

wind.

What is the average speed?

[tex]average speed=\frac{a+b}{2}[/tex]

a=inital speed

b=final speed

add 600 and 480 then divide by 2

That can be given by

[tex]=\frac{600+480}{2}\\\\=\frac{1080}{2}\\\\=540[/tex]

Alyssa's average speed on the round trip is 540mph.

To learn more about the average speed visit:

https://brainly.com/question/4931057

∠A and \angle B∠B are complementary angles. If m\angle A=(x+10)^{\circ}∠A=(x+10)

and m\angle B=(3x+28)^{\circ}∠B=(3x+28)

, then find the measure of \angle B∠B.

Answers

Answer:

67

Step-by-step explanation:

Complementary angles add to 90 degrees

<A + <B = 90

x+10  + 3x+28 = 90

Combine like terms

4x+38 =90

Subtract 38 from each side

4x+38-38 = 90-38

4x = 52

Divide by 4

4x/4 = 52/4

x = 13

We want to find <B

<B = 3x+28

   = 3(13) +28

   = 39+28

  =67

The original blueprint of a concrete patio has a scale of 2 inches =3 feet
Victoria want to make a new blueprint of the patio with a length of 16.8 inches

Answers

Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)

Width of the new blueprint: 14.4 inches

Find the area of the figure.

Answers

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width to the big square is 60cm. The length to the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

W

=

56

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

W

=

24

34

=

816

The area enclosed is the area of the big square minus the area of the little square.

3360

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

Help help help math math math

Answers

Answer:

Equation of straight line is y=Mx+X

or, y-7=-1/5x(x-(-1)

Hence y-7=-1/5x(x-(-1) is the required equation.

Answer:

ok i heres the answer

Step-by-step explanation:

there you go have a nice day

A roller coaster's height is given by the equation h = -0.067t^2 + 7t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? Hint: Set h = 0

A. 13.40 seconds
B. 50.07 seconds
C. 52.24 seconds
D. 111.19 seconds

Answers

The time it take riders to pass over the hill and reach ground level is 111.19seconds

Functions and values

Given the roller coaster's height expressed by the function below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1
0.067t^2 - 7t +-50 = 0

Factorize

On factorizing, the positive value of "t" is 111.19 seconds

Hene the time it take riders to pass over the hill and reach ground level is 111.19seconds

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Answer:

D) 111.19

Step-by-step explanation:

Step 1:

set h = 0

0 = -0.067t^2 + 7t + 50

Step 2:

multiply by -1

0 = 0.067t^2 - 7t - 50

Step 3:

My way may differ than your way but my is plug in all answer choices as t. If the answer choice equal to 0 meaning the answer.

A choice

0 = 0.067(13.40)^2 - 7(13.40) - 50

0 = 12.03 - 94.5 -50

0 = - 132.47

It doesn't equal to 0 meaning this choice is wrong answer

B choice

0 = 0.067(50.07)^2 - 7(50.07) - 50

0 = 167.96 - 350.49 - 50

0 = - 232.53

It doesn't equal to 0 meaning this choice is wrong answer

C choice

0 = 0.067(52.24)^2 - 7(52.24) - 50

0 = 182.84 - 365.68 - 50

0 =  - 232.84

It doesn't equal to 0 meaning this choice is wrong answer

D choice

0 = 0.067(111.19)^2 - 7(111.19) - 50

0 = 828.33 - 778.33 - 50

0 = 0

It does equal to 0 meaning this choice is right answer

The answer is D) 111.19

Pls give me brainiest (I worked hard for this)

Use the quadratic formula to solve the equation 9 x 2 + 30 x + 50 = 0 .

Answers

Answer:

I did how you told us to do it and I came up with 98 im not sure if that the right answer but I try to help

Write the pair of fractions as a pair of fractions with a common denominator.
1/3 and 3/8

Answers

Answer: 3/24, simplified 1/8

Explanation: 1/3 x 3/8 = 3/24
3/24 divided by 3 equals 1/8

Find the volume of the triangular prism to the right.
5 ft
10 ft
The volume of the prism is ? ft^3

Answers

Answer:

rectangular is 114ft and triangular is 112ft

Step-by-step explanation:

Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT

Since VR = length * width and height

VR = 6*x*3

VR = 18x ft³

Also VT =  Length *width * Height/2

VT = (7 * x * 4)/2

VT = 28x/2

VT = 14xft³

Since VR = 32 + VT

18x = 32+(14x)

collect like terms

18x-14x = 32

4x = 32

divide both sides by 4

4x/4 = 32/4

x = 8

Volume of the rectangular prism = 18x

Volume of the rectangular prism = 18*8

Volume of the rectangular prism = 144ft³

Volume of the right triangular prism = 14x

Volume of the rectangular prism = 14*8

Volume of the rectangular prism = 112ft³

The volume of a tree stump can be modeled by considering it as a right cylinder. Justin measures its circumference as 84 in and its volume as 20214 cubic inches. Find the height of the stump in feet. Round your answer to the nearest tenth if necessary.

Answers

The height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.

What is a cylinder?

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Since the base of a cylinder is circular in shape, the circumference is expressed as;

C = 2πr

Given that the circumference of the base is 84 in, we can now calculate the radius r.

C = 2πr

84in = 2 × 3.14 × r

84in = 6.28 × r

r = 84in / 6.28

r = 13.4in

Now, the Radius of the cylinder r = 13.4in and its volume = 20214in³, we substitute this values into the expression for volume of cylinder above to find the height h.

V = π × r² × h

20214in³ = 3.14 × ( 13.4in)² × h

20214in³ = 3.14 × 179.56in² × h

20214in³ = 563.8in² × h

h = 20214in³ / 563.8in²

h = 35.9in

Therefore, the height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.

Learn more about volume of cylinder here: brainly.com/question/16788902

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Solve the equation for x.
-2x = 14
-
Enter the number that belongs in the green box.
x = [?]
Enter
I

Answers

Answer:

[tex]\displaystyle -7[/tex]

Explanation:

[tex]\displaystyle \boxed{-7} = \frac{14}{-2}[/tex]

I am joyous to assist you at any time.

Answer:

[tex]\boxed{\sf{x=-7}}[/tex]

Step-by-step explanation:

To solve this problem, you have to find the value of x to isolate it on one side of the equation.

-2x=14

First, you divide by -2 from both sides.

-2x/-2=14/-2

Solve.

Divide these numbers from left to right.

14/-2=-7

x=-7

Therefore, the final answer is x=-7.

aitlyn has $2500 in a saving account.
She collects 3% annual simple interest.
How many years will it take to collect
$150 in interest?

Answers

Answer:

2 years

Step-by-step explanation:

The interest amount per year is

3% of $2500 = 3*2500/100 = 75

Number of years is

150/75 = 2

Answer:

2 years

Step-by-step explanation:

Simple Interest Formula

I = Prt

where:

I = total interest earnedP = principalr = interest rate (in decimal form)t = time (in years)

Given:

P = $2500r = 3% = 0.03I = $150

Substitute the given values into the formula and solve for t:

⇒ 150 = 2500(0.03)t

⇒ 150 = 75t

⇒ t = 150 ÷ 75

⇒ t = 2

Therefore, it will take 2 years to collect $150 in interest.

Image is attached. Will give brainliest.

Answers

Answer:

outside the circle

sorry if I'm wrong

Find the slope of the line shown in the graph below.

Answers

Answer: The slope is 1

Step-by-step explanation:

We can see that between the two points it goes up 2 units (rise) and right 2 units (run).

Since slope is [tex]\frac{rise}{run}[/tex] we can sub in the values to find the answer

[tex]\frac{rise}{run}=\frac{2}{2} =1[/tex]

can someone help me out with khan?

Answers

the answer is 10 . hope this is right

please help me with this one

Answers

Answer:

36 km^2

Step-by-step explanation:

We will use the way to find the area of trapezoids which is b+b/2 *h and that is 3+5/2 * 9 so 8/2 is 4 and 4*9=36

Whoever gets the Question right and first gets 15 points
(275x523)+19x34/3=?

Answers

Answer:

144040.3333

Step-by-step explanation:

275*523 = 143825

19x34/3 = 215.3333333

so add them up to get 144040.3333

Answer:

144040.333333

Step-by-step explanation:

start with parenthesis (275x523)

This would get you, 143825.

Next, you would do, (19x34/3)

That would get you, 215.333333333.

Finally, you would add the two numbers together and get a product of 144040.333333.

URGENT HELP 20 POINTS

Answers

I think E? (I’m sorry if I’m wrong, I’m still trying)

Answer:

[tex]ab( {a} ^{2} + {b)}^{2} \\ [/tex]

[tex] {a}^{ 3} b + a {b}^{3} [/tex]

In each circle, find the value of x. Please help

Answers

In a circle, angles subtended by the same arc at the circumference are equal. This means that angles in the same segment are equal.

Using this equation, we can create the following equation:

[tex]4x=3x+10[/tex]

For which we can solve to get:

[tex]x=10[/tex]


Hope this helps!

A right triangle has side lengths 3, 4, and 5 as shown below.
Use these lengths to flnd sinX, tanX, and cosX.

Answers

Answer:

See below

Step-by-step explanation:

Remember    S-O-H-C-A-H-T-O-A

   Sin = Opp / Hyp

    Cos = Adjacent  / Hyp

      Tan =Opp / Adj

You didn't say WHICH angle is X  , so you will have to finish this !

Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.

Answers

Answer:

52 cm

Step-by-step explanation:

The only tricky part is getting the not measured side. However, you have a portion of it. 16-11=5, and that is the missing side. Then just add everything together.

3.5 is the number in parentheses!
Show all work
Explain♥️

Answers

[tex]\begin{cases} f(x)=x^2\\ g(x)=x-3 \end{cases}\qquad \qquad (g\circ f)(x)\implies g(~~ f(x)~~) \\\\[-0.35em] ~\dotfill\\\\ f(3.5)=(3.5)^2\implies f(3.5)=12.25 \\\\\\ g(~~ f(3.5)~~)\implies g(~~ 12.25~~)=(12.25)-3\implies \stackrel{(g\circ f)(3.5)}{g(~~ 12.25~~)}=9.25[/tex]

Compute the flux of the vector field F = xy, 5yz, 6zx through the portion of the plane 3x + 2y + z = 6 in the first octant with the downward orientation.

Answers

The plane has intercepts

y = z = 0   ⇒   3x = 6   ⇒   x = 2

x = z = 0   ⇒   2y = 6   ⇒   y = 3

x = y = 0   ⇒   z = 6

and thus passes through the points (2, 0, 0), (0, 3, 0), and (0, 0, 6).

Parameterize the portion of the plane (call it P) by the vector function,

[tex]\vec r(s,t) = \left\langle 2(1-s)(1-t), 3s(1-t), 6t \right\rangle[/tex]

where 0 ≤ s ≤ 1 and 0 ≤ t ≤ 1.

Compute the normal vector to P :

[tex]\vec n = \dfrac{\partial \vec r}{\partial t} \times \dfrac{\partial \vec r}{\partial s} = -\left\langle 18-18t, 12-12t, 6-6t \right\rangle[/tex]

Then the flux of F through P is given by the surface integral,

[tex]\displaystyle \iint_P \vec F \cdot d\vec S = \int_0^1 \int_0^1 \left\langle 6s(1-s)(1-t)^2, 90st(1-t), 72t(1-s)(1-t) \right\rangle \cdot \vec n \, ds \, dt \\\\ = - \int_0^1 \int_0^1 \left(108(t-1)^3 s^2 + 108(t-1)^2(5t+1) s + 432t(t-1)^2\right) \, ds \, dt \\\\ = - \int_0^1 18(t-1)^2(41t+1) \, dt \\\\ = \boxed{-\frac{135}2}[/tex]

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