Anna invested $28,000 in an account paying an interest rate of 6.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $39,500?

Answers

Answer 1

Answer:

It will take 5.3 years to reach $39,500

Step-by-step explanation:

Compound Interest

It occurs when the interest is reinvested rather than paying it out.

Interest in the next compound period is then earned on the principal sum plus the previously accumulated interest.

The formula is:

[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

We are required to find the time needed to convert the principal P into a given final amount.

Solving the above equation for t, we get:

[tex]\displaystyle t=\frac{log(A/P)}{n\cdot log\left(1+r/n\right)}[/tex]

Anne invested P=$28,000 in an account at r=6.5%=0.065 compounded daily. There are 360 days in a year, so n=360. The final amount A=$39,500.

Substituting into the formula:

[tex]\displaystyle t=\frac{log(39,500/28,000)}{360\cdot log\left(1+0.065/360\right)}[/tex]

t=5.3 years

It will take 5.3 years to reach $39,500

Answer 2

Answer:5.3

Step-by-step explanation:


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Answers

Answer:

1 hour and 42 min

Step-by-step explanation:

1 hour and 42 minutes would be you answer

If you look online there are calculators specifically for time and that’s how I got the answer

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Answer:

(0, 5) and (6, 0)

Step-by-step explanation:

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Answers

Answer:

There are 30 questions

Step-by-step explanation:

70%=21

70%÷7=10%

21÷7=3

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3×10=30

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Answer:

It's the bottom one.

Step-by-step explanation:

number one makes no snese because inside of you there is no light

number two, heat and thermal are the same thing

number three, there isn't really potential energy inside you, not in the process of the energy transformation of food.

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Answer:

The answer is D

Step-by-step explanation:

9h+25=65 find the slope and y-intercept

Answers

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In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?

Answers

Answer: The length of JF = 16 units.

Step-by-step explanation:

Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.

i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]

If  EJ is 3y-8 and JF is 7y-40.

Then, [tex]3y-8=7y-40[/tex]

[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]

JF= 7(8)-40 =56-40= 16 units

Hence, the length of JF = 16 units.

Answer:

plz giv brainlist

Step-by-step explanation:

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Answers

Answer:

What is the question from both?

Answer:

(4,2) for the first one

(2,-1) for the second one

to get the answers I got, equate Both

Oliver is using plywood to build the skateboard ramp shown. Three sides of the ramp are rectangles. How many square feet of plywood does Oliver need to build the ramp?

I will mark brainliest

Answers

Answer:

18

Step-by-step explanation:

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Answers

Answer:

The domain is all real numbers

Step-by-step explanation:

There aren't any restrictions like a square root, an even exponent, or a denominator. If you ever get stuck, feel free to use something like the Desmos graphing calculator to graph out the equation.

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Answers

Answer: Please provide statements.

Step-by-step explanation:

Answer:

The maximum is (-1, 6).

The line of symmetry is x = -1.

Step-by-step explanation:

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I have a question on this math problem that I'm stuck on

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Answer:

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What is the slope-intercept equation for the line below?

Answers

Can you please show us the graph ?

Answer:

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Step-by-step explanation:

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Step-by-step explanation:


If two angles of measure (x + 3)º and (2x – 9)º
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Answers

Step-by-step explanation:

(X+3)(2x_9)

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O 80°
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O 110°

Answers

Answer:

The angle of CAD is 100°.

Step-by-step explanation:

Given that total angles in a triangle is 180° so you will have to find the angle of CAB :

∠CAB + ∠ACB + ∠ABC = 180°

∠CAB + 80° + 20° = 180°

∠CAB + 100° = 180°

∠CAB = 180° - 100°

∠CAB = 80°

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4. Which r - value suggests a strong
positive correlation?
r= 0.1847
r= -0.1847
r= 0.9974
r= -0.9974

Answers

Answer:

It would be r= 0.9974.

The closer the r value is to 1 or -1 the stronger it is.

Positive and negative are just determining what "side" its on.

Let me know if this helps!

Jennifer sells cosmetics. Her commission is 30 percent of the selling price of every item she

sells. What is her commission when she sells cosmetics totaling $717.53?

Answers

Answer:

$215.26

Step-by-step explanation:

717.53*30%= $215.26

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Answers

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Answer:

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Step-by-step explanation:

Slope intercept equation is y = mx + b:

    m is the slope

    b is y-intercept

When you read slope you can also read it as rise over run. Rise is move up or down on the y axis depending if number is negative or positive. Run is move left or right on x axis depending if number is negative or positive.

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer: C) 2 km west

Explanation:

With displacement, all we care about is the beginning and end. We don't care about the middle part(s) of the journey. So we'll take the straight line route from beginning to end when it comes to computing displacement.

We start at A(0,0) and end at B(-2,0). Going from A directly to B has us go 2 km west. Keep in mind that displacement is a vector, so you must include the direction along with the distance.

Answer:

c

Step-by-step explanation:

Janina recorded her scores after playing eight rounds of golf. If a score was under par, she recorded it as a negative number. If a score was over par, she recorded it as a positive integer. Her results are shown below.
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Answer:

hello my name is alyssa what abt you I just have to answer questions to message someone to go off on them

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Type =
Relationship =
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Answers

Answer:

Name: alternate exterior angles

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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