When Angela turned 10, her parents deposited $5,000 in a college fund for her. When Angela enrolled in college at 18, her account had $6,800 to help pay her expenses. If the account paid simple interest, what was the annual interest rate?-

Answers

Answer 1

Answer:

4.5

Step-by-step explanation:

Just did the Lesson


Related Questions

1/x+x/2=11/6 transformable to quadratic equations​

Answers

Note: Consider we need to find the solution of given equation.

Given:

The equation is

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

To find:

The solution of the equation.

Solution:

We have,

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]

By cross multiplication, we get

[tex]6(2+x^2)=11(2x)[/tex]

[tex]12+6x^2=22x[/tex]

[tex]6x^2-22x+12=0[/tex]

[tex]2(3x^2-11x+6)=0[/tex]

Divide both sides by 2.

[tex]3x^2-11x+6=0[/tex]

Splitting the middle term, we get

[tex]3x^2-9x-2x+6=0[/tex]

[tex]3x(x-3)-2(x-3)=0[/tex]

[tex](x-3)(3x-2)=0[/tex]

Using zero product property, we get

[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]

[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]

Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].

Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).

Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

We are given the algebraic equation:  1/x+x/2=11/6

Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.

LCD(x,2,6) = 6x

Multiply all through the fractions by 6x

(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)

6 + 3x² = 11x

Rewriting the equation:

3x² - 11x + 6 = 0

Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

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4
Why does the value of money in a savings account increase over time?
OA.
because it earns interest
B.
because future value is always less than present value
O C.
because future value is always equal to present value
OD.
because it is not spent
Reset

Answers

Because it is not spent

4252.50=(18000)(r)(54)

Answers

Step-by-step explanation:

do you want to find r?

so do 4252.50/ (18000*54)

8. Kim has a fever. Her temperature is 100.5 degrees Fahrenheit. Norr
temperature is 98.6 degrees Fahrenheit, How much above normal
temperature is Kim's fever?

Answers

Answer:

1.9 degrees above the normal temperture

Step-by-step explanation:

Normal temperture: 98.6 degrees Fahrenheit

100.5 - 98.6 =  1.9  

1) The newly opened Mario's Trattoria is expected to produce a continuous income stream at the rate of
R(t) = 130,000
dollars/year for the next 3 years. If the prevailing interest rate is 3.6%/year compounded continuously, find the future value of this income stream. (Round your answer to two decimal places.)

2) Suppose an investment is expected to generate income at the rate of
R(t) = 200,000
dollars/year for the next 9 years. Find the present value of this investment if the prevailing interest rate is 8%/year compounded continuously. (Round your answer to two decimal places.)

3) Camille purchased a 14-year franchise for a computer outlet store that is expected to generate income at the rate of
R(t) = 400,000
dollars/year. If the prevailing interest rate is 10%/year compounded continuously, find the present value of the franchise. (Round your answer to the nearest whole number.)

Answers

Answer:

Step-by-step explanation:

1) The newly opened Mario's Trattoria is expected to produce a continuous income stream at the rate of

R(t) = 130,000 to generate income at the rate of

R(t) = 200,000 Camille purchased a 14-year franchise for a computer outlet store that is expected to generate income at the rate of

R(t) = 400,000

The sales tax for an item was $18.60 and it cost $ 310 before tax. Find the sales tax rate. Write your answer as a percentage.

Answers

about 16 cent per dollar

Which statement describes the expression 9(8 + 25)?

1.9 times the quantity 8 times 25
2.9 times the quantity 8 plus 25
3. 25 more than 9 times s
4.25 more tha 9 plus s​

Answers

2 because you do what is in parenthesis first :)

Answer:

2

Step-by-step explanation:

ez any thing else just hit me up of so

Does f(x)=|x|+5 go up or down

Answers

Answer:

up

Step-by-step explanation:

postive, up!

Answer:

..........UP..........

how many real solutions will y=x^2 and y=-2x have? what are the solutions?

Answers

Answer:

there is none

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

Real number solutions only or real and complex solutions. A solution to the system:

y=-2x+2

y=x2-2x+4

is the value of x such that when you plug it into both equations, they both produce the same value of y, or the value of x such that

-2x+2=x2-2x+4

solving this equation----------> x2=-2, taking square root of both sides gives x= ±√2i, or the system has no real solutions but has 2 complex solutions. If you graph both functions in the xy-plane, where x, y are real numbers, you' ll see they do not intersect, which implies there is no real number solutions.

3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10 2 Hours Late 1/20 3 Hours Late 1/20​

Answers

Answer:

The expected value of lateness [tex]\frac{7}{20}[/tex] hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

  Lateness             P (Lateness)

  On Time                     4/5

1 Hour Late                  1/10

2 Hours Late                1/20

3 Hours Late                1/20​

The formula of expected value of a random variable is:

[tex]E(X)=\sum x\cdot P(X=x)[/tex]

Compute the expected value of lateness as follows:

[tex]E(X)=\sum x\cdot P(X=x)[/tex]

         [tex]=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}[/tex]

Thus, the expected value of lateness [tex]\frac{7}{20}[/tex] hours.

An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment.

Expected value of lateness is  [tex]\frac{7}{20}[/tex] hours.

Let us consider, P(x) is represent that probability of lateness and x represent number of hours late.

So, below a table is formed.

         x       0             1            2           3

      P(x)      4/5         1/10      1/20       1/20

From formula of expected value,

        E(x) = ∑ x P(x)

[tex]E(x)=(0*\frac{4}{5} )+(1*\frac{1}{10} )+(2*\frac{1}{20} )+(3*\frac{1}{20} )\\\\E(x)=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20} \\\\E(x)=\frac{7}{20}[/tex]

So, expected value of lateness is 7/20 hours.

Learn more:

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Side XY of triangle XYZ is extended to point W, creating a linear pair with ∠WYZ and ∠XYZ.

Triangle X Y Z. Point W extends from side X Y. Angle Z is 36 degrees, angle Y is x degrees, and exterior angle W Y Z is 100 degrees.

What is the value of x?
64
80
100
180
I NEED HELP ON SOME MORE PROBLEMS ANYONE WILLING TO HELP???

Answers

Answer:

80

Step-by-step explanation:

Answer:

B (also known as 30)

Step-by-step explanation:

hope this helps!

The volume of blood pumped from your heart varies directly with your pulse rate. Each time your heart beats it pumps 0.06 liter of blood.
1. Write an equation that relates the volume of blood and pulse.
2. If your pulse is 74 bpm, how much blood is being pumped from your heart each minute?​

Answers

I believe it’s number two Hope this helps

Gawain sa Pagkatuto Bilang 2: Pagsunod-sunurin ang mga
pangkat. Isulat ang letra ng tamang sagot,
1. A.
B.
C.
Malaki - Paliit
Maliit → Palaki
C.
2.
A.
B.
Malaki → Paliit
Maliit > Palaki
3.
C.
A.
B.
WA
Malaki > Paliit
Maliit -> Palaki​

Answers

Answer:

What is this about?

Step-by-step explanation:

What topic?

Simplify 3x ^ 2 - 4 +2x -1 + x^ 2 then evaluate for x = - 1

Answers

Step-by-step explanation:

4x^2+2x-5

4(-1)^2+2(-1)-5

4-2-5

2-5= -3

The answer to this question is -3

Help me please please

Answers

Answer:

wut i cannot see the question

Step-by-step explanation:

n/4 + 1 =5 how do I solve this and show my work​

Answers

Answer:

n/4 + 1 =5

n/4 = 5-1

n/4 = 4

n = 4*4

n = 16

Answer:

So do this,

Step-by-step explanation:

stand up and go ask your mom!

7 X-4 = *
A) 28
B) 11
C) -11
D) -28

Answers

Answer:

7*-4=-28

Step-by-step explanation:

7*-4=-28

Answer: 7x-4= -28                                               (One Postive+One Negtive= Negtive

Sarah joined an online music store. She wants to spend no more than $75 at the music
store. The cost of her yearly membership is $15.99 and the price to download a song
$0.79. What number of songs can Sarah download and stay within her budget.

Answers

Answer:

sarah can buy 88 songs

Step-by-step explanation:

filler fbjebdjsndjen

Answer:

sarah has to give her 15.99 from 75 after that she will be left with 59.01 and with that she can buy 74 songs

HURRY !!!!

i need help with this question

Answers

the answer is 105:) for 2

Rewrite the equation below so that it does not have fractions.
3 - 3/4x = 5/8​

Answers

Answer:

3 - 0.75x= .625

Step-by-step explanation:

3/4=0.75

5/8=0.625

a single serving of a cereal breakfast contains 18 grams of carbohydrates. this is 6% of the daily recommended allowance for 2000-calorie diet. how many grams of carbohydrates are recommended each day for a person on 2000 calorie diet.

Answers

Answer:

300g

Step-by-step explanation:

Given parameters:

Mass of carbohydrate in the cereal meal  = 18g

Unknown:

Grams of carbohydrate recommended each day = ?

Solution:

The 18grams of the carbohydrate is just 6% of the total carbohydrate need per day;

         6% x total carbohydrate recommendation  = 18

       [tex]\frac{6}{100}[/tex] x total carbohydrate  = 18

       Total carbohydrate = 18 x [tex]\frac{100}{6}[/tex]   = 300g

Answer:

The answer is 300 grams of carbs on a 2000-calorie diet!

Step-by-step explanation:

Mass = 18g

daily allowance: ???

6% x total carbohydrate recommendation  = 18

x total carbohydrate  = 18

Total carbohydrate = 18 x    = 300g on a 2000-calorie diet

HELP QUICK
Standing side by side, a woman casts a 41.4-inch shadow and her 40-inch-tall son casts a 24-inch shadow. What is the height of the woman to the nearest inch?

Answers

Answer:

25 inches

Step-by-step explanation:

Given

Son:

[tex]Height = 40\ inch[/tex]

[tex]Shadow = 24\ inch[/tex]

Woman:

[tex]Height = 41.4\ inch[/tex]

Required

Determine the height of the woman's shadow

From the question, the height is directly proportional to the height of the shadow:

So, we have:

[tex]40\ inch = 24\ inch[/tex] --- For the son

and

[tex]41.4\ inch = x[/tex]

Where x represents the shadow of the woman

Cross Multiply:

[tex]x * 40 = 24 * 41.4[/tex]

[tex]x * 40 = 993.6[/tex]

[tex]40x = 993.6[/tex]

Make x the subject

[tex]x = 993.6/40[/tex]

[tex]x = 24.84[/tex]

[tex]x = 25[/tex] ---- approximated

Hence, the woman's shadow is 25 inches tall

The art department is ordering paint supplies for their next project. They have $200 in their budget for paint and brushes. Each paint tube costs $12 and each brush costs $2. If the department buys 27 brushes, what is the most number of paint tubes they can buy?

Answers

Answer:

12

Step-by-step explanation:

27 times2 is 54 -200 =146           12 times 12 is 144 and you cant go over 146 for 13                 please mark brianly

TRUE OR FALSE?!?!?!!??!?!?!

Answers

Answer:

False

Step-by-step explanation:

Cause the graphs show false instead of being true

The answer is False!

Solve: 2x + 15 = -3x
Please help me out! I need to solve for X

Answers

Answer:

X=-3

Step-by-step explanation:

2x+15=-3x

15=-5x

x=15/-5

x=-3

Answer:

x = -3

Step-by-step explanation:

2x + 15 = -3x

15 = -5x

x = -3

Please help me...I need to turn this in PLZZZZ!!!!!!

Answers

Answer:

i believe its C

Step-by-step explanation:

Answer:

52 degree angle

The Buffalo Bills football team wanted to buy new footballs. what did the team have to pay per football? Be sure to explain all of your work.​

Answers

Answer: I don't see the amount per football

Step-by-step explanation:

HELP ME OUT REALL FAST PLEASEE

Answers

Answer:

The answer is C because you have to multiply them both:)

Answer:

The answer is C

Step-by-step explanation:

What I'm about to write is overkill for this question, but it works for any common denominator. Factor the denominators.

10: 2 * 5

5 : 1 * 5

You need 1 five and 1 two. The answer is 10

The correct way to go about doing the question is to multiply the 5 by 2 and the 2 on top by 2

2*2/5*2 = 4/10

1/10        1 / 10

4/10 + 1/10

Please I need help with this question.
In the store Sara is shopping at, 1 cardboard box with glitter is $10 per box. The other type of cardboard box is $6 per box that has no design. If Sara spent $130, how much of boxes did she get (what type)? What quantity?

Answers

Answer:

(There are so many answers to this question) she could have gotten 13 glitter boxes and none of the other boxes.

Step-by-step explanation:

13x10=130

Answer: 13 glitter cardboard boxes that are $10

Step-by-step explanation:

We have to divide the number $130 by both numbers each cardboard box costs, designed glitter boxes that are $10 and plain cardboard boxes are 6 each. So, let's do that right now.

130 ÷ 6 = 23.333

Sara only bought 13 cardboard boxes, so it is no the answer.

Now, let's try the second number that is $10. We have to remember that the answer has to be 13. So, let's do that as well right now.

130 ÷ 10 = 13

We see that we get 13 while we divide 130 by 10, so Sara bought 13 designed glitter cardboard boxes.

The answer to the question is 13 glitter cardboard boxes that are $10.

Hope this helps you!

If an initial amount A0 of money is invested at an interest rate i compounded times a year, the value of the investment after t years is If we let n = 8, that is referred to as the continuous compounding of interest. Use L' Hospital's Rule to show that if interest is compounded continuously, then the amount after years is A=A0eit

Answers

Answer:

Following are the solution to the given point:

Step-by-step explanation:

Please find the comp[lete question in the attached file.

Given:

[tex]\bold{ \lim_{n \to \ \infty} (1+ \frac{r}{n})^{nt} =e^{rt}}[/tex]

In point 1:

[tex]\to y = (1+ \frac{r}{n})^{nt}[/tex]

In point 2:

[tex]\to \ln (y)= nt \ln(1+ \frac{r}{n})[/tex]

In point 3:

Its key thing to understand, which would be that you consider the limit n to[tex]\infty[/tex],  in which r and t were constants!  

[tex]=lim_{n \to \ \infty} \ln (y) = lim_{n \to \ \infty} nt \ln(1+\frac{r}{n})\\\\= lim_{n \to \ \infty} \frac{\ln(1+\frac{r}{n})}{\frac{1}{nt}}\\\\= lim_{n \to \ \infty} \frac{\frac{-r}{\frac{n^2}{(1+\frac{r}{n})}}}{- \frac{1}{n^2t}}\\\\= lim_{n \to \ \infty} \frac{\frac{rn^2t}{n^2}}{(1+\frac{r}{n})}\\\\= lim_{n \to \ \infty} \frac{rt}{(1+\frac{r}{n})}\\\\= \frac{rt}{(1+\frac{r}{0})}\\\\=rt[/tex]

In point 4:

[tex]\to \lim_{n \to \ \infty} = (1+\frac{r}{n})^{nt}[/tex] and

[tex]\to \lim_{n \to \ \infty} = A_0e^{rt}[/tex]

Other Questions
Gender is a. only used to define the biological sex of a person b. the culturally defined characteristics of masculinity a bias that is impossible to avoid in one's commun d. none of the above. C. In the poem "1975: Year of the Cat," Ha says, But last night I pouted that Mother insisted one of my brothers must rise first to bless our house because only male feet can bring luck. This quotation reveals: You roll an eight-sided die. What is the chance that it will land on either a 2 or a 5? Write your answer as a fraction. Compact Fluorescent Lamps use less power, yet give off the same amount of light as an incandescent light bulb. But, do they really save you money on your energy bill? What are the benefits of using these light bulbs instead of traditional bulbs? Why use fluorescent bulbs?After reading the passage above, it is logical to assume that the rest of the reading will give information about____________.?a.why incandescent light bulbs are the bestc.the benefits of Compact Fluorescent Lampsb.why you will not save money with a Compact Fluorescent Lampd.it is impossible to tell what the rest of the reading will be aboutPlease select the best answer from the choices providedABCD how do you find this day?what are the positive things that happened?what are those things that made your irritated or upset? SOLVE FOR WV = LWHPLZ HELP ME PLZ PLEASE HELP ME!!Which two answer choices are phrases that add variety to the sentences (rather than independent clauses)?A) Kevin sighedB) he did not enjoy staying upC) The crowd threw popcorn, booed, and jeeredD) t the referees penalty call against the home team.E) as he sat down to work on the five page essay due in Mr. Byrds class the next morning. What evidence should Mitchell collect to BEST support the second law of thermodynamics? You can see protons yes or no ASAP Evaluate the expression: 20.16(0.375) Help plzzzzzzzzzzzzzzzzzzzzzzz ethos pathos logos try to get someone to buy a pen!! What does the word solar mean in this paragraph?1. having2. from the sun3. stored energy4.a type of fooda type of food WILLL MARK BRAINLIEST PLEASE HURRY IM RUNNING OUT OF TIMEAccording to the theory proposed by Harry Hess, what causes continents to move?continental driftmagnetic polarityseafloor spreadingdeep-ocean trenches Please help me with my French work What is dialogue?A conversation between peopleorcA description of the settingA description of the plotA summary of a story Why do electrons falling into different orbits give off characteristics wavelengths? I will pick the brainiest! Thanks :) Help I do not get this because I am bad at English Jeremiah pushed Anthony with a net force of 12 N. Anthony accelerated across the hall at 0.2 m/s2. What was Anthonys mass?