3. A savings account is started with an initial deposit of $500. The account earns 1.5% 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 $800. Show your work. Answer:

Answers

Answer 1

Answer:

31.334... years

Step-by-step explanation:

Initial value = $500

r = 1.5%

t = ?

A = (500)[tex]e^{.015*t}[/tex]

I was unsure if the question was asking to express the equations in terms of t =, but i did those steps anyway just in case.

A/500 = [tex]e^{.015*t}[/tex]

ln A/500 = ln[tex]e^{.015*t}[/tex]

ln A/500 = .015*t

ln(A/500)/.015 = t

t = ln(A/500)/.015

To find the amount of time it takes for the account balance to reach $800, we plug in $800 for A in the equation that solves for t.

t= ln(800/500)/.015 = 31.334...(rounded) years

We also could have solved by plugging in $800 into the original equation and then solving for t, but i found it to be easier to find the equation for t prior to solving. Hope this helps!


Related Questions

litterally nobody answers my questions
my question is the image

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Here you go hope this helps

HELP PLS 15 POINTS first best is brainliest
What is the area of this figure?

Enter your answer in the box.

mm²

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Answer:14mm

Step-by-step explanation:

9. If ATLY ~ ACHK, find the value of x.

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Check the picture below.

HELPPP FAST LIKE 4 minutes left

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Answer: A. 40

Step-by-step explanation:

The probability of the test showing negative given the person does not have the disease?

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I would say maybe .16 but I’m not sure.

Pls help I’ll brainlest ASAP

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(-2,1) i think that’s the answer
3/5 is the slop 3 up 5 over

Explain how to graph a line when given the standard form Ax + By = C of a linear equation.

PLEASE HELP ME

Answers

Step-by-step explanation:

A= C. - By

x. ×

answer by a

huhuhu

If a car averages 22 miles per gallon, how many kilometers per liter is this?

Answers

We have to convert the units. 1 mile = 1.60934km, 1 gallon = 3.78541km

Since it's mile per gallon, we divide the units mentioned above.

1 mile / 1 gallon = 1 km / 1 gallon = 1.60934 / 3.78541 = 0.4251

Now multiply this result as a factor to 22

That is 22 * 0.4251 = 9.3522

So the answer is 9.3522

givien the function 6x+6y=5 rearrange the equation so that x is the independant varible

Answers

Answer:

so 6x = -6y + 5

divide by 6

x = 5

Step-by-step explanation:

‍plz help‍ I NEED IT RN PLZ

A quadrilateral has (blank) sides and (blank) angles

A pentagon has (blank) sides and (blank) angles

A cube (blank) faces

Answers

Step-by-step explanation:

A quadrilateral has (four) sides and (four) angles

A pentagon has (five) sides and (five) angles

A cube (six) faces

hope this helps you.

what is the value of y so that the equation is true y^2 = -81

Answers

Step-by-step explanation:

to make the equation true the value of y must be.

-1×9²-1×81-81

hope it helps.

stay safe healthy and happy.

Answer:

y=-/+9

Step-by-step explanation:

y^2=81

find the square root

y=positive/negative 9

rewrite equation in slope - intercept form: (Solve for y)
2x-y=7

Answers

Answer:

y = 2x-7

Step-by-step explanation:

I'm not really sure this is the slope-intercept form, as I've never called it like that before, but if it is, there you go.

Answer:

[tex]\huge\boxed{\sf y = 2x - 7}[/tex]

Step-by-step explanation:

Given equation is:

2x - y = 7

Add y to both sides

2x = 7 + y

Invert the equation

7 + y = 2x

Subtract 7 to both sides

y = 2x - 7

This is the required equation in slope-intercept form y = mx + b where m is slope and b is y-intercept.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Guys please i need help on this, i will give brainliest to the right answers

Answers

Answer:

C) Discrete made up of individual points


How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?

Answers

Notice that

13 - 9 = 4

17 - 13 = 4

so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :

149 = 9 + 4k

140 = 4k

k = 140/4

k = 35

This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.

Put another way, we have

[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)[/tex]

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.

[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k-1=0}^{35+1} (9 + 4(k-1))[/tex]

[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)[/tex]

Approximately what portion of the box is shaded blue?
A.3/5
B.2/3
C.9/10

Answers

Answer:

I think the answer is C.....

what the words corresponding to the obtained value in the box provide on your answer sheet
[tex] \sqrt{2.5 \sqrt{8} } [/tex]

Answers

Answer:

4.47

Step-by-step explanation:

Hope it helps to you

Determine the slope of the line that contains the given points. E(-5,6), (4, -3) *
1 point
Your answer

Answers

Answer:

-1

Step-by-step explanation:

Use the slope formula to calculate

-3-6/4-(-5)

= -9/9

= -1 (Slope)

Mrs. Goldstein pours 3 juice boxes into a bowl to make punch each juice box hold 236 ml how much juice it does Mrs.Goldstein pour into the bowl

Answers

708 ml

When each box contains 236 ml of juice and she pours three boxes into the bowl, you need to multiply 236 by 3. After completing the calculation, you would get 708.

.
Simplify.
{[2 + 3(−3 – 4) – 3] – 2} ÷ 23

Answers

Answer:

-0.2

Step-by-step explanation:

pls give me brainliest if possible

Question 10 of 10
To model some data, Pat ran an exponential regression and found the
regression equation to be y = 0.496.1.3%,
The scatterplot and residual plot are shown.
Scatterplot
Residual plot
y
4
2
Select the true statements.
O A. The model is a good fit because the patterns in the plots are both
curves.
B. The points in the scatterplot follow a line, so a linear model would
fit the data better.
O C. The residual plot changes direction, so a quadratic model would
fit the data better.
D. The model is not a good fit because there is a pattern in the
residual plot.

Answers

Answer:

B.)The points in the scatterplot follow a line, so a linear model would fit the data better

A.)The model is not a good fit because there is a pattern in the residual plot.

Step-by-step explanation:

The linear model would best fit the scatter plot while the quadratic model would fit the residual plot. The true statements are: B and C.

What is a Linear Model and a Quadratic Model?

A linear model is appropriate for data points that lie along a straight line on graph. If the line is not straight but curved and changes direction, a quadratic model is a better model for such data.

Thus, since the data points on the scatter plot are on a straight line, a linear model would fit the data.

For the residual plot that changes direction, a quadratic model would better fit the data.

The true statements are therefore: B and C.

Learn more about linear and quadratic model on:

https://brainly.com/question/13496810

#SPJ2

If a spherical tank 6 m in diameter can be filled with a liquid for $600, find the cost to fill a tank 12 m in diameter.

The cost to fill the 12 m tank is $__

Answers

$1,200
Explaination: 6/600=100x12=1,200

Which of the following shows the correct solution steps and solution to 4x + 9 = -23?​

Answers

Exact Form:

x

=

7

2

x

=

7

2

Decimal Form:

x

=

3.5

x

=

3.5

Mixed Number Form:

x

=

3

1

2

Answer:

X=3.5

Step-by-step explanation:

What you do is take -9 to 9 and -23. Next subtract -23 and 9. Then drop 4x and then divided 4x by 14 and you will get 3.5 as your answer.

Hope it helped!


Mark breaks up a 9-hour drive into 3 parts. He drives 2 1/2 hours before stopping for lunch. After driving some more, he stops for gas. If the second part of his drive was 1 2/3 longer than the first part, how long did he drive after stopping for gas?

Answers

Answer:

4 1/6 hours

Step-by-step explanation:

2 1/2 + 1 2/3 = 25/6 = 4 1/6

Question is in picture
In parallelogram LMNO what is the measure of angle M?

Answers

Answer:

Step-by-step explanation:

∠L and ∠N are identical

3x + 40 = 5x

       40 = 2x

        20 = x

So ∠L and ∠N are both 100°

Internal angles on a quadrilateral sum to 360° and ∠M and ∠O are identical

∠M = (360 - 2(100))/2 = 80°

find the divergence and curl of the vector
F=(3x²y² +2z)i + (3x² + y +yz )j - (3x²z² +2yx + xyz)k

Answers

Divergence:

div(F) = ∂(3x²y² + 2z)/∂x + ∂(3x² + y + yz)/∂y - ∂(3x²z² + 2yx + xyz)/∂z

div(F) = 6xy² + 1 + z - 6x²z - xy

Curl:

curl(F) = [∂(3x² + y + yz)/∂z + ∂(3x²z² + 2yx + xyz)/∂y] i

… … … … … - [∂(3x²y² + 2z)/∂z + ∂(3x²z² + 2yx + xyz)/∂x] j

… … … … … + [∂(3x²y² + 2z)/∂y - ∂(3x² + y + yz)/∂x] k

curl(F) = (-xz - 2x - y) i + (6xz² + yz + 2y + 2) j + (6x - 6x²y) k

Help me with this question

Answers

Answer: The angle is a acute angle not obtuse angle.

Step-by-step explanation:

A 16-ounce bottle of Spring water is $2.08. A 20-ounce bottle of Fresh water is $2.40. Which statement about the unit price is true

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hope this helps,

(Info is in attachment)

identify which of the following in NOT equivalent to
[tex]2 \frac{2}{3} [/tex]

Answers

[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\boxed{A}\qquad \sqrt[4]{8}\implies \sqrt[4]{2^3}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{B}\qquad \sqrt[4]{2^3}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{C}\qquad 2^{\frac{1}{4}}\times 2^{\frac{1}{2}}\implies 2^{\frac{1}{4}+\frac{1}{2}}\implies 2^{\frac{1+2}{4}}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{D}\qquad \left( 2^{\frac{1}{4}} \right)^{\frac{1}{2}}\implies 2^{\frac{1}{4}\cdot \frac{1}{2}}\implies 2^{\frac{1}{8}}\qquad \textit{\large \checkmark}[/tex]

Find the volume (in cubic yards) of a rectangular solid with length 3.8 yards, width 2.2 yards, and height 2.3 yards.

Answers

Answer:

19.228

Step-by-step explanation:

multiply 2.2*2.3*3.8 to get 19 yd^3

WILL MARK BRAINLIEST IF ANSWER IS CORRECT

Solve

20÷4+2•5

Answers

Answer: the answer is 8

Step-by-step explanation:

Hope this helped.

hi have a nice day

20

4

+(2)(5)

=15

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