Find out how long it takes a $2900 investment to double if it is invested at 9% compounded quarterly. Round to the nearest tenth of a year.

Answers

Answer 1

Answer:

7.8 years

Step-by-step explanation:

Formula

[tex]PV(1+\frac{i}{n})^{nt}[/tex]

we have

[tex]2900(1+\frac{.09}{4})^{4t}=5800\\1.0225^{4t}=2\\4t=log_{1.0225}2\\4t=31.1518\\t=7.787957[/tex]

Which rounds to

7.8


Related Questions

Hiiii!!! help! I'll mark brainliest

Answers

Answer: C/ The third one

Step-by-step explanation:

AB is the midsegment of AXYZ and PQ is the midsegment of XAB. What is the relationship in length between PQ and YZ? O PQ = 1/8 Y Z O PQ = 1/2YZ O PQ = 1/4Y Z O PQ = 1/3YZ​

Answers

Answer:

third option: PQ = 1/4(YZ)

Step-by-step explanation:

By the Midsegment Theorem, a midsegment is 1/2 the side across it. Using this, we can say:

In triangle XYZ, AB = 1/2(YZ)

And in triangle XAB, PQ = 1/2(AB)

We can substitute AB into the second equation to get:

PQ = 1/2(1/2(YZ))

PQ = 1/4(YZ)

This is the third option.

Which of the following equations describes the line shown below? Check all
that apply.

Answers

Answer:

B. y = 2x - 2

E. [tex] y + 4 = 2(x + 1) [/tex]

F. [tex] y - 6 = 2(x - 4) [/tex]

Step-by-step explanation:

The equation of the line can be found using either the point-slope equation or the slope-intercept equation.

✔️Equation of the line in point-slope using the slope and the coordinates of the point (4, 6):

Slope = m = change in y/change in x

Using (4, 6) and (-1, -4),

m = (-4 - 6)/(-1 - 4)

m = -10/-5

m = 2

Substitute m = 2, and (a, b) = (4, 6) into the point-slope equation form [tex] y - b = m(x - a) [/tex]

Thus:

[tex] y - 6 = 2(x - 4) [/tex]

✔️Equation of the line in point-slope using the slope and the coordinates of the point (-1, -4):

Slope = m = 2

Substitute m = 2, and (a, b) = (-1, -4) into the point-slope equation form [tex] y - b = m(x - a) [/tex]

Thus:

[tex] y - (-4) = 2(x - (-1)) [/tex]

[tex] y + 4 = 2(x + 1) [/tex]

✔️Equation of the line in slope-intercept form, y = mx + b

Where,

m = slope = 2

b = y-intercept = -2 (the point where the line intercepts the y-axis)

Thus, substitute m = 2 and b = -2 into y = mx + b

y = 2x + (-2)

y = 2x - 2

I WILL GIVE BRAINILY PLSSSSS HELPLPPP
Which linear function is increasing at a greater
rate? Explain your reasoning.
Linear Function 1 has an x-intercept of (4, 0) and
a y-intercept at (0, 22)
Linear function 2 includes the points in the table
below

Answers

Answer:

Linear function 2

Step-by-step explanation:

If Linear function 1 has an x-intercept of 4,0 and a y-intercept of 0,22

It's a negative equation, Its not increasing Its decreasing.

So it must be Linear function 2

answer:
the second function

step-by-step explanation:
“increasing at a greater rate” is the slope
Function 1 has points at (4, 0) (0, 22)
to find the slope it would be
m = y2 - y1 / x2 - x1
m = 22 - 0 / 0 - 4
m = 22 / -4
m = -5.5
Function 2 we can take any two points from the table
I’m going to take (1, 0) and (3, 1)
m = 3 - 1 / 0 - 1
m = -2 / -1
m = 2 / 1
m = 2
because function 1 is negative function 2 would be increasing at a greater rate.

PLEASE Hurry If f(x)=7x2−2 and g(x)=2(x−7)2 , which is an equivalent form of f(x)−g(x) ? A 5x2−100 B 5x2+28x−100 C 5x2+14x−51 D 3x2+56x−198

Answers

Answer:

5x^2 +28x - 100

Step-by-step explanation:

f(x)=7x^2−2 and g(x)=2(x−7)^2

First simplify g(x)

g(x) = 2 ( x-7)(x-7) = 2( x^2 - 7x -7x +49) = 2(x^2 -14x +49) = 2x^2 -28x +98

Now f(x) - g(x)

f(x) - g(x) = 7x^2−2 - (2x^2 -28x +98)

Distribute the minus sign

            = 7x^2−2 - 2x^2 +28x -98

Combine like terms

            = 5x^2 +28x - 100

Triangle ABC is graphed in the coordinate plane with vertices A(1, 1); B(3, 4) and C(- 1, 8) as shown in the figure.

Answers

Answer:

(-4,-2)

Step-by-step explanation:

B(3,4)

x=3 , y=4

(3-7,4-6)

(-4,-2)

Transformation involves changing the position of a shape.

The coordinates of B after the translation is (-4,-2)

The vertices are given as:

[tex]\mathbf{A =(1,1)}[/tex]

[tex]\mathbf{B =(3,4)}[/tex]

[tex]\mathbf{C =(-1,8)}[/tex]

The translation rule is given as:

[tex]\mathbf{(x-7,y-6)}[/tex]

So, the coordinates of B' is calculated using:

[tex]\mathbf{(x,y) \to (x-7,y-6)}[/tex]

This gives

[tex]\mathbf{(3,4) \to (3-7,4-6)}[/tex]

[tex]\mathbf{(3,4) \to (-4,-2)}[/tex]

Rewrite as:

[tex]\mathbf{B' = (-4,-2)}[/tex]

Hence, the coordinates of B after the translation is (-4,-2)

Read more about translations at:

https://brainly.com/question/12463306

someone please help me with this

Answers

9514 1404 393

Answer:

  x = 39

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the squares of the sides of a right triangle is the square of the hypotenuse.

  x² +80² = 89²

  x² = 89² -80² = 7921 -6400 = 1521

  x = √1521

  x = 39

Help pls of I get the right answer I'll give briliantest ​

Answers

Answer:

the answer is 2450

Step-by-step explanation:

because you find the area of one which is 1225, then multiply it by 2 because there are 2 squares.

What is the probability that a person orders sandwich with cheddar cheese

Answers

Answer:

16.67%

Step-by-step explanation:

62 - (5 - 4) + 2(8 - 22) / 8

Answers

Answer:

This is BIDMAS / BODMAS

You need to do BRACKETS first, so 5 - 4 = 1. Now if it is NOT the sequence then it would be 62 - 1 + 2 = 63. The rest I do not know.

Answer:

57.5

Step-by-step explanation:

62 - (5 - 4) + 2(8 - 22) ÷ 8

62 - (1) + 2(- 14) ÷ 8

62 - 1  - 28 ÷ 8

61 - 3.5

57.5

Write the Ratio of sin A/Cos B/ tan B

Answers

Answer:

Step-by-step explanation:

sinA= 8/10= 4/5

CosB= 8/10=4/5

tanB=6/8=3/4

Is Y=10x proportional

Answers

Answer:

Yes

Step-by-step explanation:

Given that

Y = 10x

we need to find that whether it is a proportional or not

So here we can say that proportional relationship would be expressed in the form of

y = kx

And, k represent the constant

Therefore

y = kx equivalent to Y = 10x

Both the expression is same

Therefore it is proportional

2Y=5XSquared
I don’t have the power symbols on my phone.
How do I solve for Y?

Answers

Divide both sides by two.

pls help and stay tuned bcs their will be more questions bcs i just not that smart
._.

Answers

Answer:

I beileve it is Y.

Step-by-step explanation:

HELP ASAP WILL GIVE BRAINS LIST


jack and clint are running backs on rival college football teams. the table below shows the number of yards they have ran in each of their first five games of a season. how many yards would clint need to run in his next game to average the same number of yards as jack?

Answers

Answer:

Clint would have to run 127 yards next game to average the same number of yards as Jack.

Step-by-step explanation:

First, we find the boys' averages by adding all their yards and then dividing by the number of games.

For Jack, we get 490 yards in total, which we divide by 5, the number of games. We get a 98 yard average.

For Clint, we get 461 yards in total, which we divide by 5, the number of games. We get a 92.2 yard average.

We know Clint wants to average 98 yards at the end of the next game. That would make 6 games total. We can multiply 98 x 6 to get the total number of yards for a 98 yard average in 6 games. We get 588 yards in total. Clint already ran 461 yards in total, so we can subtract that from 588. We have 127 yards left. We now know that Clint needs to run 127 yards in the next game for a 98 yard average.

The number of yards that client needs to run in his next game to average the same number of yards as jack will be 127.

What is mean?

The mean is the average of a data set. Mean gives us an idea of that how small the amount of overall data have.

In other words, the mean is the foundation of the deviation of data from all data sets.

Mean = sum of data / Number of data

The average of Jack = (123 + 87 + 108 + 80 + 92)/5 = 98

The average of Clint = (88 + 101 + 96 + 92 + 84)/5 = 92.2

To make this average 98 let's say Clint's score in the next game is x.

Mean = (88 + 101 + 96 + 92 + 84 + x)/6 = 98

(92.2 x 5 + x) = 98 x 6

x = 127

Hence"Clint needed to add 127 to be mean as same as Jack".

For more about the mean,

https://brainly.com/question/17060266

#SPJ2

Plz help me well mark brainliest if correct!.,

Answers

Answer: The perimeter is 20 cm

Step-by-step explanation: The top and bottom are same length, so 6+6, and the sides are the same length, so 4+4 don’t forget it’s cm and it becomes 20 cm.

PERIMITER = ADDING ALL SIDES

AREA = MULTIPLYING

Suppose you conduct a hypothesis test based on a sample where the sample size is n = 50, and arrive at a p-value of 0.08. You then refer back to your notes and discover that you made a careless mistake, the sample size should have been n = 500. Will your p-value increase, decrease, or stay the same? Explain.

Answers

Answer:

Decrease

Step-by-step explanation:

The Pvalue is used to measure the level or decide if a particular research claim is significant or not. The sample size also plays a role in the Pvalue of a statistical analysis. Larger sample sizes tend to prove the significance of the claim. Using the Pvalue approach, the significance of a claim is examined by the and established by small P values. Therefore, an initial Pvalue of 0.08 obtained using a sample size of 50. The Pvalue will most likely witness a further decrease in the Pvalue if the sample size is increased to 500 as this would move the claim closer to being significant.

Write an addition equation or a subtraction equation (your choice!) to describe the diagram.

Answers

the answer is 5 + 2 = 7

!!!!PLEASE HELP!!!
WILL MARK BRAINLIEST!!!:)
What is the value of x in this triangle?
58
32
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
x=

Answers

Answer:

a^2 + b^2 = c^2

a^2 + 32^2 = 58^2

a^2 + 1024 = 3364

a^2 = 2340

a = 48.37

Step-by-step explanation:

Answer:

x = 33.49

Step-by-step explanation:

I took the the test and got this answer, sorry for the not so detailed explanation

have a decent day

At a local bodega, the cost of a banana at the corner store is $1.50, and the cost of a
bottle of soda is $1.20. What would it cost to get 5 bananas and 2 bottles of soda?
What would it cost to get x bananas and y bottles of soda?

Answers

Answer:

$7.5

Step-by-step explanation:

4 bottles cost = $5

Then 1 bottle costs:

$5/4 = $1.25

Then 6 bottles cost:

$1.25*6 = $7.5

The expanded form of 3(4a) is:

Answers

Answer:

12a

Step-by-step explanation:

Use the distributive property and distribute 3 into 4a.

The expanded form of the expression 3(4a) is, 12a.

What are the basic properties of arithmetic laws of operations?

There are three types of basic arithmetic laws of operation.

Commutative law for addition and multiplication states,

a + b = b + a.

a×b = b×a.

Distributive law states,

a(b ± c) = ab ± ac.

Associative law states,

a + (b + c) = (a + b) + c.

Given, An expression 3(4a),

We know in algebra we write multiplications a×b as, ab or a.b.

Therefore, the expanded form of the expression 3(4a) is,

= 3×4×a.

= 12×a.

= 12a.

learn more about arithmetic laws here :

https://brainly.com/question/25834626

#SPJ7

Two functions are shown below.



f(x) = 1/3 (3)^x


g(x) - 2x + 4


What is the largest integer value of x such that f(x) < g(x)?

Answers

Answer: 3

Step-by-step explanation:

Given

[tex]f(x)=\dfrac{1}{3}3^x[/tex]

[tex]g(x)=2x+4[/tex]

For [tex]f(x)<g(x)[/tex] to be true, the domain is given by observing the graph of two i.e. [tex]x\in (-1.981,3.117)[/tex]. In this range [tex]g(x)[/tex] is greater than [tex]f(x)[/tex].

From the above domain largest integer that can satisfy the condition is 3.

I'M ON A TIMER!!!!

Juan asked every sixth grade student in his class what they enjoy doing most. Find the probability a student enjoys playing outside the most

Playing inside: 16

Playing outside: 8

Answers

Answer:

the answer is

8:24

Step-by-step explanation:

hope it helps

Double the product of 4y and 3b if y=2 and b=1.

Answers

Answer:

48

Step-by-step explanation:

Double the product of 4y and 3b

2 * ((4y) * (3b))

y = 2 and b = 1

2 * ((4 * 2) * (3 * 1))

2 * (8 * 3)

2 * 24

48

I need some explaining this is so unclear​

Answers

Pls send again unclear
Question

6. What is the first step in financial planning?

Answers

Answer:

determining your current financial situation.

Step-by-step explanation:

Answer:

determining your current financial situation

Step-by-step explanation:

Please HELP me someone please please

Answers

Answer:

x = 59°

Step-by-step explanation:

The square symbol shown in the angle means that it is 90°. We can say that the angle x - 7 and 38 add up to 90 because of that. We can set up an equation to model the situation:

x - 7 + 38 = 90

x + 31 = 90

x = 59°

(b) Solve this problem
9-X= 2

Answers

Answer:

X=7

Step-by-step explanation MARK AS BRAINLIEST!!

Explain why the data display is misleading and how it affects your perception of this data

PLZ HELP ILL GIVE BRAINLISEST IM DEPRTATE NDNAJD

Answers

Because for every items sold the difference is 1 and for 3-6 which has the most sold the difference is 3

PLEASE HELP! I WILL GIVE BRAINLIEST! Determine whether the statement is always, sometimes, or never true.
13. If a triangle is acute triangle, then it is an equilateral triangle.
14. If a triangle has two acute angles it must be an acute triangle. 15.An obtuse triangle can have a right angle.

Answers

Answer:

13 True

14 Sometimes

15 Never

Step-by-step explanation:

All equilateral triangles must have 60 degree angles

Sometimes a acute triangle can have 2 acute angles

Obtuse angles take up majority of the mesuares in the triangle. All triangles must have 3 angles equal up to 180 degrees

Other Questions
One could argue that many of Prometheus's actions happened for which of the following reasons 2 Identify allthat apply. (There are 2 correct answers.)To gain power over Zeus in an attempt to overthrow himTo correct the problems that his brother createdTo prove to his brother that he was the most powerfulTo reveal that he was not going to be limited by other godsTo give man the ability to survive Which statement below can NOTbe used when describing volume?A. Volume is the amount of space that an objectoccupies.B. The volume of an object is the same as theweight of that object.C. Volume can be measured in cubiccentimeters.D. Volume is calculated using a formula: V = 1x wxh. Question 1 of 10Solve the proportion below.-X/45=7/9x=O A. 5B. 39C. 35O D. 43 g Which of the following is TRUE for a system that is in dynamic equilibrium? Which of the following is TRUE for a system that is in dynamic equilibrium? The concentration of products is equal to the concentration of the reactants. The forward reaction goes to 100% completion. Both the forward and reverse reactions come to a halt. The reaction rate of the forward reaction approaches zero. none of the above The Big Bang is the predominant theory explaining the moment that what began?Scientific theoryHistorical cataloguingThe universeGreek mythology state one advantage and one disadvantage of parallel cables 4. Crown Reserve was land set aside to help finance the Protestant Church.TrueFalsePlease someone I need ASAP. If two organisms share the same Order, what other taxa do they share?A. Domain, Phylum and ClassB. Domain, Kingdom and GenusC. Domain, Genus and SpeciesD. Kingdom, Species, and Class Each bag of trail mix weighs 3/8 pound. The combined weight of a set of bags is 3 3/4 pounds How many bags are there? An equation of the line through the points (-2.5) and (3, -4) is: In MNO, the measure of O=90, OM = 69 feet, and NO = 16 feet. Find the measure of N to the nearest tenth of a degree. What does asmr mean!? A random sample of the residents of two cities were asked whether they are right-handed or left-handed. The table summarizes the responses.pls how long must the sides of an equilateral triangle be in order for the perimeter to be greater than 45m? Help im taking a test!!What new element is formed from the equation below? (Answer form isMN:, AN: , S) what do electrons in the same shell have in common Will mark brainliest ***FIND THE VOLUME OF THE SPHERE. Use 3.14 for pi. ROUND TO THE NEARESTWHOLE NUMBER NO LINKS URGENT Below is the graph of y = f(x) Graph y=-f(x) The tone of a poem is the poet's attitude toward the subject. What is Longfellow's attitude toward Paul Revere? Give two details to support your answer. What is the quadratic regression equation that fits these data? number of seconds= 0,1,2,3,4,5 height (in feet) = 12,13,15,13,9,7