A bank account starts with $3.00. The amount in the account doubles every year .

Answers

Answer 1

Answer:

Step-by-step explana

multiply it by 2 or sdd itself to it

Answer 2

The  account will have $1536.007 after 9 years.

Part A:

To express the total amount of money A(t) in the account after 7 years, we can use the formula:

A(t) = P[tex](2^t)[/tex]

where:

A(t) is the total amount in the account after t years,

P is the initial amount in the account (starting with $3.00 in this case),

t is the number of years.

Substituting the values into the formula, we get:

A(t) = 3 ([tex]2^7[/tex])

A(t) = 3 x 128

A(t) = 384

Therefore, the total amount of money in the account after 7 years is $384.

B) To find out after how many years the account will have $1536.007, we need to solve the equation:

1536.007 = 3 [tex](2^t)[/tex]

Dividing both sides of the equation by 3, we get:

512.0023333333 = [tex]2^t[/tex]

Taking the logarithm (base 2) of both sides, we have:

log2(512.0023333333) = t

t = 9.000317.

Therefore, the account will have $1536.007 after 9 years.

Learn more about Equation here:

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Related Questions

75 percent of $82 i know the answer how do i solve helppppp

Answers

Answer:

61.5

Step-by-step explanation:

75% of 82 = [tex]\frac{75}{100}*82[/tex]

                 = 0.75 * 82

                 = 61.5

Answer:

$61.50

Step-by-step explanation:

You turn 75% into 0.75. Then you multiply that by the 82 dollars. Hope that helps.

6x-27=-3x

solve for x:D

Answers

Answer:

6×-27=-3×

+3×

9/9×=27/9

×=3

What is the length of the radius, r?

Answers

Answer:

half the length of diameter

Step-by-step explanation:

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keenan got 13/25 for his mathematics test write down two equivalent fractions for this mark​

Answers

Answer and explanation,

You’re welcome :)

Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4

Answers

Answer: 23692929

Step-by-step explanation:

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex](25x-4)^8[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow\sqrt{(25x-4)^{16}}\\\\\rightarrow (25x-4)^{\frac{16}{2}}\\\\\text{Recall that: }a^{\frac{b}{c}}=\sqrt[c]{a^b}\\\\\rightarrow\boxed{(25x-4)^8}\\\\\text{Side Note: }\frac{16}{2}=8[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Write an exponential function in the form y = ab" that goes through points (0,7)
and (9,3584).

Answers

Answer:

Step-by-step explanation:

I'm going to  assume you meant y = ab^x. If this is not correct, leave a comment.

x = 0

y = 7

7 = a * b^0

anything to the zero power is 1

y = a*b^0

y = a*1

7 = a

So far what you have is

y = 7 * b^x

Now let

x = 9

y = 3584  

3584 = 7 * b^9         Divide by 7

3584/7 = b^9

512 = b^9

If you knew how to use logs, that would be the surest way to do this question. However I'm going to make an assumption again and assume that you have not taken those yet.

So the easiest way is to find out what raised to the 9th power will equal 512

Could b = 5?

5^9 = 1 million 9 hundred thousand something. 5 is far too big. Make sure you understand why. 1 million is far greater than 512

So let's try b = 3

3^9 = 19 thousand which is still far too big. 19 thousand something is far larger than 512.

We have just one more number that we can try.

2^9 = 512 and we have it

Answer y = 7*2^x

10. How many solutions does this system of equations have? Explain how you know.
y = -4x + 3
2x + 8y = 10

Answers

2 solutions of this system of equation

How do you find the equations of the vertical and horizontal asymptotes for a graph when you only have the graph and no function?

Answers

Answer:

See below for answer and explanations (as well as an attached graph)

Step-by-step explanation:

Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.

Take for example [tex]y=\frac{1}{x}[/tex]:

As x approaches ∞ and -∞, then y approaches 0, which is our horizontal asymptoteAs y approaches ∞ and -∞, then x approaches 0, which is our vertical asymptote

See the graph for a visual.

The scale factor of the enlarged image of a bug is 1:0.125. The diagram measures 16mm, what is the actual length​

Answers

Answer:

it is 2mm long

Step-by-step explanation:

16x0.125=2 so it is 2mm long

Pls help quicky! I will also give a brainliest!!!!!

Answers

the answer should be 7.12. because you do 10.52-3.4, giving your answer

Answer:

A) 7.12

Step-by-step explanation:

Simply, subtract 10.52 by 3.4 to get your answer or plug in each answer until you get 10.52

Hope this helps, good luck! :)

I need help with this I don’t understand.

Answers

Answer:

the added degree of m1 and m2 equal m4

The diameter of a circle is 6 inches. What is the circle's circumference? Use 3.14 for ​.

Answers

Answer: 18.84

Step-by-step explanation:

Formula for circumference of a circle is 2[tex]\pi[/tex]r. Radius is half the diameter so 6/2=3. 2(3.14)(3)= 18.84

For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?

Answers

10.25 hours on average

8+12+12+9=41

41/4= 10.25

PLEASE HELP MEEEEE




If 10 g of sugar is taken from 200 g of sugar water with 20% sugar content, how many g of sugar will remain?​

Answers

Answer:

30g of Sugar

Step-by-step explanation:

200g of sugar water with 20% sugar content. 20% of 200 is 40. (200/5)

40g of sugar in the sugar water, 10 g taken. 40-10=30

Hope this helps!

:)

A farmer stores chicken feed in cartons. Together, 3 cartons hold 9 cubic feet of space in all. How many cartons does the farmer need to store a total volume of 72 cubic feet of chicken feed?

Answers

Answer:

45

Step-by-step explanation:

because 3 x 9 is 27 and then your gonnna want to subtract 72 and 27 and that really how i got 45 by multiplication and subtraction sorry if it wrong

can someone please help me?

Answers

statement: they are both 90 degree angles
reasons: they both make an L shape and have a square indicating that they are both right angles

Does this graph represent a function? Why or why not?

Answers

Answer:

B yes

Step-by-step explanation:

As long as a verticle line intercepts the graph at no more than one point it is a function

Answer:

B. Yes, because it passes the vertical line test

Step-by-step explanation:

no x values are repeated

PLS HELP In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠P ≅ ___
A. ∠S
B. ∠PRQ
C. ∠T
D. ∠PQR

Answers

The answer is ∠S …..

I feel like i’m wrong lol, Correct me please.

Answers

The way you can figure out if a line is parallel, same line or perpendicular. Convert the systems of equation into slope intercept form. Here we have 3x+y=5. Subtract 3x. Y=-3x+5. Now let’s find the second system. 6x+2y=10. Now subtract 6x. 2y=-6x+10. Since we have 2y divide by 2 on both side. -6x/2=3. 10/2=5. Y=-3x+5. We can see the two Systems of equation gives us the same equation. Therefore the system has infinitely many solution or the same line.

What is the volume of this cylinder? ​ 6m, 7m

Answers

Answer:

[tex]198\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a cylinder is given by [tex]V=r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cylinder and [tex]h[/tex] is the height.

What we're given:

[tex]r[/tex] of 3[tex]h[/tex] of 7

Substituting given values, we get:

[tex]V=3^2\pi\cdot 7,\\V=9\cdot 3.14\cdot 7,\\V\approx 197.82\:\mathrm{m^3}=\boxed{198\:\mathrm{m^3}}[/tex], rounded the nearest cubic meter as requested in question.

Answer:

Volume of cylinder is 197.82 m ³.

Step-by-step explanation:

Here,

We have given that

Diameter of cylinder = 6 m

So, Radius of cylinder, r = 6 / 2 = 3m

Height of cylinder , h = 7 m

Value of π = 3.14

To find :-

Volume of cylinder

Solution :-

We know that,

Volume of cylinder = π × r ² × h

Substitute the values

Volume of cylinder = 3.14 × ( 3m ) ² × 7 m

volume of cylinder = 3.14 × 9m² × 7 m

Multiply , we get

Volume of cylinder = 197.82 m ³

Therefore, The volume of cylinder id 197.82 m ³.

What is the slope of the linear function of (6 , 2) (9 , 8)

Answers

Answer:

1/2

Step-by-step explanation:

The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

9-6=3

8-2=6

3/6=1/2

can you solve this? explian your reasoning. 2 6 3 9 6 18 15. What number comes next?

Answers

Answer:

The number of the sequence are 2, 3, 6, 15

The difference between 2 and 3 is 1 i.e. 30.

The difference between 3 and 6 is 3 i.e. 31.

The difference between 6 and 15 is 9 i.e. 32.

Let the next number in the given sequence be some natural number x.

Now, following the pattern, the difference between 15 and x has to be equal to 33=27.

i.e.

x−15=27⟹x=27+15=42

Hence

The next number in the sequence is 42.

Next number is 45, sequence goes times 3 then minus 3

Which?

A

B

C

D

Help me for 20 points!!!

Answers

Answer:

8/5

Step-by-step explanation:

7 3/10-5 7/10=8/5

What is the smallest perimeter a rectangle of area 12 cm can have?
A.12 cm
B.14 cm
C.16 em
D.26 cm

Answers

Answer:

14 cm

Step-by-step explanation:

The maximum area of a rectangle (actually square) with a perimeter of 14 can have is 12.25 cm².  So the smallest perimeter a rectangle of 12 cm² i just a little below 14 cm, namely 4sqrt(12) = 13.86 cm.

Solve for y.

-24 = -8y

Simply your answer as much as possible.

Answers

Answer:

Y=3

Step-by-step explanation:

-8 times 3 equals -24

Answer:

y = -3

Step-by-step explanation:

-24 = 8y

Divide both side by 8

-24/8 = 8y/8

-24/8 = y

divide -24 by 8 to get -3

-3 = y

rewrite ..( optional )

y = -3

PLS ANSWER ASAP DUE AT 9:20

Answers

Answer:

option B

Step-by-step explanation:

[tex]16x + 20y = (4 \times 4x) + (4 \times 5y) = 4 \times (4x + 5y)[/tex]

Find the distance between the two points, and explain if you want to.

Answers

Step-by-step explanation:

the answer is in the above image

which of the folowing could be the equation for a parabola that opens to the left with vertex (-17, 2)

Answers

Answer:

x = a(y+17)^2 + 2 where a < 0

Step-by-step explanation:

Since the parabola is horizontal, the formula of the parabola is x = a(y-h)^2 + k where (h,k) is the vertex.

Since it opens to the left, a must be negative. The vertex is (-17, 2), so h = -17 and k = 2.

Substituting these in, we find that the equation is

x = a(y+17)^2 + 2 where a is a real number that is less than 0 (i.e. negative)

I hope this helps! :)

SIMPLIFY USING THE DISTRIBUTIVE PROPERTY OF RATIONAL NUMBERS
1/5+ (2/5+3/5)

Answers

Answer:

6/5

Step-by-step explanation:

1/5 + (2/5 + 3/5)

solve for the bracket first

1/5 +(2+3/5)

1/5 + (5/5)

1/5 + 1

1+1*5/5

6/5

another method

1/5 + (2/5 +3/5)

open brackets)

1/5 + 2/5 + 3/5

since their denominator are same u can add their numerator

1+2+3/5

6/5

Can someone help me with this question please

Answers

The error is the proportions are set wrong
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