3. A savings account is started with an initial deposit of $3000. The account earns 9% interest compounded annually.
(a) Write an equation to represent the amount of money in the account as a function of time in years.
(b) Find the amount of time it takes for the account balance to reach 1 million. Show your work.
Note: 1 million is a 1 with 6 zeros. Note2: you must use log functions to solve.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

GivenDeposit = $3000Interest rate = 9% compoundedNumber of years = tNumber of compounds = 1 per year Solution

(a) the equation

f(t) = 3000*(1.09)^t

(b) If f(t) = 1000000

1000000 = 3000*(1.09)^t(1.09)^t = 1000000/3000(1.09)^t = 333.3333log (1.09)^t = log 333.3333t log 1.09 = 2.52290.03742t = 2.5229t = 2.5229/0.03742t = 67.4 ≈ 68 years

Related Questions

multiply [3] [-4] [2]

Answers

Answer: -24

Explanation: you multiply 3 times 4 times two, but then count the negative signs and if its and odd number add it if its even then its positive.

Five pounds is equal to 2.268 kilograms. How many kilograms is 2 pounds?
0.4536
0.9072
1.8144
4.536

Answers

Five pounds is equal to 2.268 kilograms.

Answer:

B) 0.9072

Step-by-step explanation:

Which equation represents a line with a slope of zero?
O y= 2x
O y=-3x+
O y=4
O x=-5

Answers

Answer:

y = 4

Step-by-step explanation:

In y =mx+b (slope -intercept form ),

We have m to be the slope

The first and the second equations contains the slope (coefficient of x)

The fourth option clearly states the slope is -5

That leaves with the third option with only a y-intercept.

Answer:

y=4

Step-by-step explanation:

y=4 on the graph would look like this -------------------------- and it would have a slope of zero. It's not x = -5 because that would have an undefined slope |.

And the first two the slope is the number in front of the x.

Hope this helped!!!

                                                                                                                       

Will give brainliest and thanks and please explain

Answers

Answer:

(65-5) / 2.5 = d

Step-by-step explanation:

100% sure

Answer:

d=65/2-5

26days

Step-by-step explanation:

3. If (5,5) is the endpoint of a line with the midpoint at (0,0), where is the
other endpoint?

Answers

If (5,5) is the endpoint of a line and the midpoint is (0,0) then the other endpoint of the line is (-5,-5).

HELP ASAP!!!WILL GIVE BRANLIST

Answers

Answer:

See photo below

I hope this helps!

Answer:

you see the top u take a line and put it right through the 2 top coners and put a line there.

Step-by-step explanation:

I WILL GIVE BRAINLIEST HELPPP
1. 3/10 = 12/50 true or false
2. 1/2=6/12 true or false
3.5/6=10/12 true or false
4.5/7=15/21 True or false
5.3/8=6/15 true or false
PLeASE HELP

Answers

Answer:

1. False

2. True

3. True

4. True

5. False

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. False   3/10 x 5 = 15/50 not 12/50

2. True    1/2 x 2 = 6/12

3. True    5/6 x 2 = 10/12

4. True    5/7 x 3 = 15/21

5. False   3/8 x 2 = 6/16 not 6/15

Alright, I need help! ​

Answers

Answer:side B middle length!

Step-by-step explanation:

WILL GIVE BRAINLYIST
A-5 pound bag of apples cost $3.50 use the way completed table to identify equivalent ratios and then answer the questions.

Apples *? 5 ? 15
Cost 0.70 3. 50 7 ?

Apples cost $___ per pound.

Answers

i think the answer is 11.024

Find the perimeter and area of a rectangle of cardboard measuring 15.9 cm by 11.7cm

Answers

the area is 186.03. lw = 15.9(11.7) = 186.03

A child walks 3/10 of a mile in 1/5 hour. At this rate, how far will the child walk in 1 hours ?

Answers

Answer:

1.5 miles

Step-by-step explanation:

.3 miles/12 minutes x 5/5 = 1.5 miles/ 1 hour

A company requires a password to access a data storage vault. The password must be 4 characters long and may
contain digits and lowercase letters only.
How many passwords are possible if characters can be repeated? Enter your answer as a number, like this: 425

Answers

Answer:

There are 36 possibilities per character (26 lower case letters + 10 numbers), so the total number of permutations are 36^4 = 1,679,616

Step-by-step explanation:

Michael has 20 table tennis balls and 16 table tennis paddles. He wants to sell packages of balls and paddles bundled together. What is the greatest number of packages she can sell with no leftover balls or paddles?

Answers

You need to find the hcf of 16 and 20 which is 4

(100 POINTS) Write the particular equation of this transformed cosine graph. (Hint: Try to find the best point to center the sinusoidal axis.)

Answers

Answer:

y= - 3cosx - 2

Step-by-step explanation:

Our max here is at 1, and the minimum is at - 5

The distance between the x-axis and these points are 1 and 5. 5 + 1/2 = 6/2 = 3, our amplitude. But let's double check. Our middle point is - 2 so...

- 5 - (- 2) = - 5 + 2 = - 3

The amplitude is rather - 3.

f(x) = Acos(Bx + C) + D

Using this we know B = 0, D = - 2 (the middle point), C = 0, and A = - 3 (amplitude). B = 0, and C = 0, as there is no horizontal/vertical shift

f(x) = Acos(Bx + C) + D

f(x) = - 3cosx + (- 2)

f(x) = - 3cosx - 2

Answer:

y= - 3cosx - 2

Step-by-step explanation:

Just Answered on A P E X Practice Assignment

In New York the temperature was -4 Fahrenheit in the morning if the temperature dropped eight Fahrenheit what is the temperature now

Answers

Answer:

-12 Fahrenheit.

Step-by-step explanation:

what is the measure of an angle that is linear pair with 10 degrees

Answers

Answer:

170 degree bcause 180 -10 = 170 ( linear pair )

Answer:

170 degree bcause 180 -10 = 170 ( linear pair )

Step-by-step explanation:

what is 8,526 divide by 9

Answers

Answer:

Use a calculator but otherwise it is 947.3333

Step-by-step explanation:

first 8000 divided by nine which is 888.8888

second is 500 wich is 55.5555

third is 20 divided by nine wich is 2.2222222

fourth is 6 divided by nine wich is 0.66666667

fith add all of them which is around 947.3333

y = 7x^3 - 4x^2 + 3x - 12
find the domain step plz

Answers

Answer:

The domain is -oo < x < oo or (-oo,oo)

Step-by-step explanation:

Sometimes it helps if you draw this out on a number line or graph the equation! :)

Domain is how far x goes. As in this case x is infinite both ways.

Which of the following is a situation in which a quadratic equation cannot be
solved using the quadratic formula?

Answers

Answer:

the a

Step-by-step explanation:

zzzzz


Complete the statements.

8.703 dekagrams =_____
kilograms
100.3
_____= 10.03 hectometers
909.9
_____= 90,990 centiliters

Answers

Step-by-step explanation:

1. 0.08703 killograms

2. Decameters

3. Liters

Answer:1. 0.08703 killograms

2. Decameters

3. Liters

Step-by-step explanation:

Help. What is the slope of the line in the graph?

Answers

Hello,

As you have not provided the graph, I can teach you how to answer the question.

You are solving for the slope of the line. The slope can be found by using the following equation:

slope (signified by the variable m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Note that the numbers does not exactly matter, only that what you set as variable [tex]x_1[/tex], the y inside that coordinate will also be [tex]y_1[/tex], and likewise for point 2.

For example, let us say your points for your line is (3 , 6) and (10 , 4)

Let:

[tex](x_1 , y_1)[/tex] [tex]= ( 3 , 6)[/tex]

[tex](x_2 , y_2) = (10 , 4)[/tex]

Plug in the corresponding numbers to the corresponding variables:

slope [tex]m = \frac{4 - 6}{10 - 3} = - \frac{2}{7}[/tex]

The given points will result in a [tex]-\frac{2 }{7}[/tex] slope.

Hope this helps!

- Fifteen percent of what number is 66?

Answers

Answer:

440

Step-by-step explanation:

In other words, you know that 15 percent of a number is 66 and you want to know what that initial number is. Therefore, you can derive that 15 percent of 440 equals 66. 67 is 15 percent of what number?

The answer to this question is 440.

how many fifths are there in 8 3/5?​

Answers

Answer:

43 becuase 8 3/5 times 5

Step-by-step explanation:

mr.little earned $320 for working 2 eight hours shifts at the lumber yard .what is his hourly wage?

Answers

Answer:

Step-by-step explanation:

320$ divided by 16 (two 8 hr shifts) = 20 dollars an hour

Write the inequality.
A number k plus 5 is greater than or equal to
8.
Ak +5> 8
k+5 <8
k+5 <8
k+528

Answers

Last one.
Think of the > sign as a crocodile wanting the bigger (greater) number. “Or equal to” just add a line below it

What is the equation of a line that is perpendicular to this line and goes through the
given point?
y = 3x + 2 (3,-4)

Answers

Answer:

x + 3y + 9 = 0

Step-by-step explanation:

y=3x + 2

Coefficient of x = 3

Gradient (m) of line y= 3x + 2 is 3

Since the line passing through point

(3,-4) is perpendicular to line y=3x + 2

hence gradient (m) of the line is -1/3;

And hence it equation is given as;

y - y1 = m(x - x1)

y - (-4) = -1/3(x - 3)

multiplying through by 3;

3 × y + 3 × 4 = 3 × -1/3(x - 3)

3y + 12 = -1(x - 3)

3y + 12 = -x + 3

x + 3y + 12 - 3 = 0

x + 3y + 9 = 0

(WILL GIVE BRAINLIEST)

What is 3/5 written as a percent?
A. 6%
B. 30%
C. 60%
D. 167%

Answers

Answer:

60%

Step-by-step explanation:

1/5 equals 20 % and thus 3/5 is 20 % multiplied by 3 so 60 %

Answer: "Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as  

x/100

.

We can then rewrite this as:  60%.

create an equation from the model that describes the relationship between the weights on each side of the scale into the correct answer in the Box​

Answers

Answer:

2y+3=4y+2

Step-by-step explanation:

Answer:

2y+3=4y+2

Step-by-step explanation:

cause i got it right

2. Add 62 to the difference of
90 and 36.​

Answers

Answer:

116

Step-by-step explanation:

(difference = subtract)

90 - 36 = 54

adding 62 to 54 = 116

answer

62+(90-36)

62+54

116

If Kim reduces the weekly number of hours she works by one-fourth and her current weekly income is $520.00, what is her new weekly income?

Answers

Answer:

$390    you divide 520 by 4 so 520/4=130   now we subtract 130 from 520, 520-130=390

Step-by-step explanation:

Solving this question requires basic arithmetic formula and fractions.

New weekly income = $390

Let's call the number of hours kim works weekly as "x"

If she reduces this number of hours by one-fourth and her current weekly income is $520, then it means the amount to be deducted is;

[tex]\frac{1}{4}[/tex] × $520 = $130

Thus, her new weekly income will be;

$520 - $130 = $390

Read more at; brainly.com/question/11407386

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