Find the time required for an investment of 5000 dollars to grow to 8600 dollars at an interest rate of 7.5 percent per year, compounded quarterly.

Answers

Answer 1

Answer:

about 7.3 years

Step-by-step explanation:

[tex]8600=5000(1+\frac{.075}{4})^{4*t}\\1.72=(1.01875)^{4t}\\log_{1.01875}1.72=4t\\29.19428479=4t\\t=7.298571198[/tex]

Answer 2

Answer:

The answer is t=7.3


Related Questions

An angle with measure of 71° is bisect at what angle?​

Answers

Answer:

A

Step-by-step explanation: just divide 71 into 2 which gives you 35.5 making a your answer.


What is the domain of the function f(x) =x+1/
X^2-6x+8?

Answers

Answer:

The domain of the function is all real values of x, except [tex]x = 4[/tex] and [tex]x = 2[/tex]

Step-by-step explanation:

We are given the following function:

[tex]f(x) = \frac{x+1}{x^2-6x+8}[/tex]

It's a fraction, so the domain is all the real values except those in which the denominator is 0.

Denominator:

Quadratic equation with [tex]a = 1, b = -6, c = 8[/tex]

Using bhaskara, the denominator is 0 for these following values of x:

[tex]\Delta = (-6)^2 - 4(1)(8) = 36-32 = 4[/tex]

[tex]x_{1} = \frac{-(-6) + \sqrt{4}}{2} = 4[/tex]

[tex]x_{2} = \frac{-(-6) - \sqrt{4}}{2} = 2[/tex]

The domain of the function is all real values of x, except [tex]x = 4[/tex] and [tex]x = 2[/tex]

Find the area of the region that is enclosed between the curves y = x2 and
y = x + 6.

Answers

Integrate:

[tex]\displaystyle\int_{-2}^3((x+6)-x^2)\,\mathrm dx = \int_{-2}^3(6+x-x^2)\,\mathrm dx[/tex]

[tex]=\left(6x+\dfrac{x^2}2-\dfrac{x^3}3\right)\bigg|_{-2}^3[/tex]

[tex]=\left(18+\dfrac92-9\right) - \left(-12+2+\dfrac83\right)[/tex]

[tex]=\boxed{\dfrac{125}6}[/tex]

Divide the following quantities in the following ratios £100 1:3

Answers

The answer is 25:75….

Hi, Friends,
please help me solve this problem.

Q. terms of a geometric sequence are found by the formula Tn = ar n-1 If a = 3 and r = 2 , find the 4 terms of the sequence.

Answers

9514 1404 393

Answer:

  3, 6, 12, 24

Step-by-step explanation:

It helps if the formula is properly written.

  Tn = a·r^(n-1)

Fill in the given values for a, r, and use n = 1 to 4.

  T1 = 3·2^(1-1) = 3

  T2 = 3·2^(2-1) = 6

  T3 = 3·2^(3 -1) = 12

  T4 = 3·2^(4 -1) = 24

__

Additional comment

The value a=3 tells you the first term is 3. The value r=2 tells you each term is 2 times the previous one. Knowing this, you can write down the sequence based on your knowledge of multiplication tables (×2). You can use the formula as we did above, but it isn't necessary.

  3, 6, 12, 24, ...

If the bearing of P and
Q is
145°. What is the bearing of
Q from P?

Answers

9514 1404 393

Answer:

  325°

Step-by-step explanation:

The bearing in the reverse direction is 180° more (or less) than the bearing in the forward direction.

  145° +180° = 325°

The bearing of Q from P is 325°.

Answer:

If the bearing of P and

Q is 145°

Soo,

the bearing of Q from P is 145+180=325°

Because it is reserve in the forward direction

[tex]\sf{ }[/tex] [tex]\sf{ }[/tex] [tex]\sf{ }[/tex]

What is 2225 rounded to the nearest thousand? Hurry please

Answers

Answer:

2000

Step-by-step explanation:

2225 to the nearest 100 is 2300 but 3

<5 so it is 2000

Solve the system of equations using the elimination method. 5x + 10y = 3 10x + 20y = 8

Answers

Answer:

Can not be solved

Step-by-step explanation:

5x+10y = 3............. Equation 1

10x+20y = 8 ............ Equation 2

From the equation above,

both equations can not be solved by elimination method, because both variables will be eliminated

During three consecutive years, an employers salary is increased by 15%. If after three years his salary is 45,400, what was his salary before the raises?

Answers

Answer:

$29,851.24

Step-by-step explanation:

The salary started as x.

Each year it was increased 15%.

A full amount is 100% of the amount. When you add 15% to the amount, you now have 115% of the amount.

115% as a decimal is 1.15; that means that to increase an amount by 15%, multiply the amount by 1.15

For example, let's say you want to know what is a 15% increase on 100. Start with 100. 15% of 100 is 15, so if you add 15% to 100 you expect to get 115.

Now multiply 1.15 by 100. You also get 115 showing you that multiplying a number by 1.15 is the same as adding 15%.

Now let's get back to our problem.

The salary started as x.

Each year, the increase in salary was 15% of the previous salary.

After 1 year the salary is 1.15x.

After 2 years, the salary is 1.15(1.15x).

After 3 years, the salary is 1.15(1.15(1.15x)) = (1.15^3)x

We are told that the salary became $45,400 after the three 15% increases, so

(1.15)^3 * x = 45,400

Multiply out 1.15^3 as 1/15 * 1.15 * 1.15 = 1.520875

1.520875x = 45,400

Divide both sides by 1.520875.

x = 45,400/1.520875

x = 29,851.24

Answer: $29,851.24

8-6•4+10divided by 2 =

Answers

The answer should be -26
=8-6×4+10÷2=2×4+10÷2=8+10÷2=18÷2= 9 The answer is 9

Please help !!!! will mark brainliest !!

Answers

Answer:

the first one

Step-by-step explanation:

The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.

Answers

9514 1404 393

Answer:

(x -3) +(x -1) +(x +1) +(x +3) = -72-21, -19, -17, -15

Step-by-step explanation:

Let x represent the even integer between the middle two odd integers. Then the sum of the four odd integers is ...

  (x -3) +(x -1) +(x +1) +(x +3) = -72

  4x = -72

  x = -18

The four integers are -21, -19, -17, -15.

_____

Additional comment

You could let x represent one of the integers. Often, people choose to let it represent the least of them. Then the equation becomes x +(x+2) +(x+4) +(x+6) = -72, so 4x = -84 and x = -21. This introduces a "subtract 12" step in the solution process that is unnecessary if x is chosen to be the average of the integers.

As the average, x is the sum divided by the number of them, so you know x=-72/4 = -18 immediately. Then you just have to find the nearest two odd integers below and above -18. You can do the whole problem mentally.

PLEASE HELP I WILL MARK YOUR ANSWER AS BRAINLIEST PLEASE BE CORRECT BEFORE ANSWERING

LOOK AT THE BOTTOM

Answers

9514 1404 393

Answer:

  y = 2

Step-by-step explanation:

The figure must be flipped top-to-bottom, so the line of reflection must be a horizontal line. Point B must be reflected to itself, so it is on the line of reflection. That means the line of reflection is y = 2.

__

You can draw the line of reflection using any two points that have y-coordinates of 2, for example, (0, 2) and (2, 2).

Is [0,2) is compact in R?

Answers

Answer:

no it is not compact in R

100 POINTS!!!!!
Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.


Question: Given answer the questions that follow.


a. Your friend claims the graph of f(x)=2x increases at a faster rate than the graph of g(x)=x2 when x ≥ 0. Is your friend correct? Explain your reasoning.

b. How are the 2 functions different?

Answers

Answer:

a. The friend is incorrect.

2(x) is the same as x(2). PEMDAS does not apply to the same order of operation under normal conditions and both are directly proportional functions.

b. The parentheses are the only thing making the functions different. After you simplify from the parentheses, both values have the same priority.

Step-by-step explanation:

the answer above is correct i got it right!

Is 237405 divisible by 11 Correct Answer = Brainliest ​

Answers

Answer:

Yes.

Step-by-step explanation:

.

Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 1.8. In 1983, about 1800 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2004?

Answers

Answer:

The people dies in 2004 by aids are 413042853.4

Step-by-step explanation:

growth factor = 1.8

People died in 1983 = 1800

Let the people dies in 2004 is P.

Time, t = 2004 - 1983 = 21

So,

[tex]P = 1800 \times (1.8)^{21}\\\\P = 413042853.4[/tex]

On planet Ghaap, two Gheeps are worth three Ghiips, two Ghiips are worth five Ghoops, and three Ghoops are worth two Ghuups. How many Ghuups are seven Gheeps worth?

Answers

Answer:

10 Ghuups I believe. I am sorry if this is wrong

I’ll mark u plz help

Answers

Answer:

D is the answer

Step-by-step explanation:

all sides and angles are equal

hope it helps!! let me know if it does

Solve by graphing. Round each answer to the nearest tenth.

6x2 = −19x − 15
a: −2, 1.7
b: −1.7, −1.5
c: −1.5, 1.5
d: −1.5, 1.7

Answers

9514 1404 393

Answer:

  b:  -1.7, -1.5

Step-by-step explanation:

The graph is shown below. We have annotated the x-intercepts for the equivalent equation ...

  6x^2 +19x +15 = 0

Norm has $15,000 to deposit. His daughter is a junior in high school and plans to go to college. Recommend the best way for Norm to store his money. Note that the interest rates are expressed on an annual basis.
a.
A four-year CD paying 4.8% interest, with a substantial penalty for early withdrawal
b.
An online savings account offering 2.3% interest
c.
A money market account paying 3.5% interest, renewable for three-month commitments
d.
A checking account with no monthly fees

Answers

Answer:

A money market account paying 3.5% interest, renewable for three-month commitments.

The best way for Norm to store his money is through C. A money market account paying 3.5% interest, renewable for three-month commitments. Even though a four-year CD offers a higher interest at 4.8%, the fact that there is a substantial penalty for early withdrawal is a negative factor for Norm. His daughter needs the money after 2 years since she is already a junior in high school.

The slope of diagonal OA IS__,
and its equation is__

Answers

Answer:

[tex](a)\ m = \frac{4}{3}[/tex] --- slope of OA

[tex](b)\ y = \frac{4}{3}x[/tex] --- the equation

Step-by-step explanation:

Given

The attached graph

Solving (a): Slope of OA

First, we identify two points on OA

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (3,4)[/tex]

So, the slope (m) is:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{4-0}{3-0}[/tex]

[tex]m = \frac{4}{3}[/tex]

Solving (b): The equation

This is calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Recall that:

[tex](x_1,y_1) = (0,0)[/tex]

[tex]m = \frac{4}{3}[/tex]

So, we have:

[tex]y = \frac{4}{3}(x - 0) + 0[/tex]

[tex]y = \frac{4}{3}(x)[/tex]

[tex]y = \frac{4}{3}x[/tex]

Allen is looking through his weekly local grocery store newspaper ads he notices that Costco is advertising a pack of 60 eggs for $9.35 Safeway is advertising a dozen eggs for $4.79 and Trader Joe's is advertising a pack of 18 eggs for $6.18 which store is offering the better deal?​

Answers

Answer:

Costco

Step-by-step explanation:

We find the cost per egg for each of the three stores.

Costco:

$9.35/(60 eggs) = $0.15583/egg

Safeway:

$4.79/(12 eggs) = $0.39917/egg

Trader Joe's:

$6.18/(18 eggs) = $0.34333/egg

The best deal is Costco.

Answer:

Costco

Step-by-step explanation:

[tex]\frac{60}{9.35}: \frac{1}{y}[/tex]

60 × y = 1 × 9.35

60y = 9.35

60y ÷ 60 = 9.35 ÷ 60

[tex]y=\frac{187}{1200}[/tex]

[tex]\frac{12}{4.79}: \frac{1}{y}[/tex]

12 × y = 1 × 4.79

12y = 4.79

12y ÷ 12 = 4.79 ÷ 12

[tex]y=\frac{479}{1200}[/tex]

[tex]\frac{18}{6.18}: \frac{1}{y}[/tex]

18 × y = 1 × 6.18

18y = 6.18

18y ÷ 18 = 6.18 ÷ 18

[tex]y=\frac{103}{300}=\frac{412}{1200}[/tex]

A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 5) and (4, 10).
The graph shows the height of a tree over time. What can you deduce the rate of change to be from 2 years to 4 years ?
2 inch per year
2.5 inches per year
5 inches per year
10 inches per year

Answers

Answer:

2.5 inches per year

Step-by-step explanation:

We can deduce the rate of change by obtaining the slope or gradient of thw points given :

Gradient = Rise / Run.

Point A (2, 5) ; point B (4, 10)

x1 = 2 ; y1 = 5 ;x2 = 4 ; y2 = 10

Rise = y2 - y1 = 10 - 5 = 5

Run = x2 - x1 = 4 - 2 = 2

Rate of change = Gradient = 5 /2 = 2.5

Which is 2.5 inches per year

Answer: 2.5

Step-by-step explanation: Took the assignment on edge

An economic instructor at UCF is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 11 students who took the course last semester follow:

# of observation(s) n = 30
# of independent variable(s) = 1
SSR = 1,297 SSE= 920

Required:
Find the F test statistic.

Answers

Answer:

[tex]F = 39.47[/tex]

Step-by-step explanation:

Given

[tex]n = 30[/tex] --- observations

[tex]p = 1[/tex] -- variables

[tex]SSR = 1,297[/tex]

[tex]SSE= 920[/tex]

Required

The F statistic

This is calculated using:

[tex]F = \frac{SSR}{p} \div \frac{SSE}{n - p -1}[/tex]

[tex]F = \frac{1297}{1} \div \frac{920}{30 - 1 -1}[/tex]

[tex]F = \frac{1297}{1} \div \frac{920}{28}[/tex]

[tex]F = 1297 \div \frac{920}{28}[/tex]

Rewrite as:

[tex]F = 1297 * \frac{28}{920}[/tex]

[tex]F = \frac{1297 *28}{920}[/tex]

[tex]F = \frac{36316}{920}[/tex]

[tex]F = 39.47[/tex]

Think of 5 positive integers that have a mean, median, mode, and range of 6.

Answers

3,6,6,6,9
To have a mode of 6 there has to be more 6’s than any number
To have a median of 6 it has to be in the center of a list of integers listed from smallest to largest
To have a range of 6 the largest integer subtracted by the smallest should equal 6
To have a mean of 6 there must be 5 numbers that add up to 30

Claim: Fewer than 94​% of adults have a cell phone. In a reputable poll of 1004 ​adults, 86​% said that they have a cell phone. Find the value of the test statistic.

Answers

Answer: The value of test statistic = -10.67

Step-by-step explanation:

Test statistic for proportion:

[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

, where p= population proportion

n= sample size

[tex]\hat{p}[/tex] = sample proportion

AS per given,

p=0.94, n= 1004, [tex]\hat{p}=0.86[/tex]

[tex]z=\dfrac{0.86-0.94}{\sqrt{\dfrac{0.94(1-0.94)}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{\dfrac{0.0564}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{0.0000561752988048}}\\\\=\dfrac{-0.08}{0.00749501826581}\\\\=-10.673756509\approx-10.67[/tex]

i.e. the value of test statistic = -10.67

SCALCET8 3.8.001.MI. A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day zero the population consists of two members. Find the population size after seven days. (Round your answer to the nearest whole number.) P(7)

Answers

Answer:

A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day zero the population · Q: For this discussion, you will work in groups to find the area and answer questions.

Step-by-step explanation:

the perimeter of a rectangle parking lot is 322M if the width of the parking lot is 74M what is its length

Answers

Step-by-step explanation:

Perimeter of rectangle = 2( l+b)

Ie, P = 2( L+B )

In substituting,

322 = 2( L + 74)

Ie, 322 = 2L + 148

Re - arrange

Hence,

2L = 322 - 148

2L = 174

Thus, L = 174/2

L = 87M

Which equation can be simplified to find the inverse of

Answers

Answer:

x=y²-7

hope it helps.

stay safe healthy and happy...
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