Mrs. Williams put $500 into a retirement account that earns 4% interest. How long will it take for there to be $3,500?
What is the A value?
What is the B value?
What is the equation and answer?

Answers

Answer 1

9514 1404 393

Answer:

  A = 500

  B = 1.04

  49.6 years

Step-by-step explanation:

We assume your 'A' and 'B' refer to parameters in an exponential formula of the form ...

  y = A·B^x

In this form, A is the initial investment value, $500. B is the growth factor, 1+4% = 1.04, assuming interest is compounded annually. We want to find x such that y=$3500.

  3500 = 500·1.04^x . . . . . fill in known values

  7 = 1.04^x . . . . . . . . . . . . . divide by 500

  log(7) = x·log(1.04) . . . . . . take logarithms

  x = log(7)/log(1.04) ≈ 49.61 . . . . divide by the coefficient of x

It will take about 49.6 years for there to be $3500 in Mrs. Williams's account.


Related Questions

This month, 25 dogs were brought in to the animal shelter. Leo predicts that next month will have 40% more dogs brought in than this month.
How many more dogs does Leo think will be brought in?
dogs
How many total dogs would that make?
dogs total

Answers

Answer:

35 dogs

Step-by-step explanation:

40% more than 25 is 35

7. At the Battle of
outnumbered buffalo hunters defended
themselves for 5 days.
O A. Alpine Hills
B. Austin Falls
O C. Amarillo Flats
D. Adobe Walls

Answers

I think the answer is D good luck hope you get it right.Adobe walls

pls help me to solve this​

Answers

Answer:

Step-by-step explanation:

I’m not smart

A local charity receives 1/3 of funds raised during a craft fair and a bake sale. The craft fair raised $252.60. The total amount given to charity was $137.45. How much did the bake sale raise?

Answers

Answer:

$159.75

Step-by-step explanation:

137.45/252.60 + x = 1/3

252.60 + x = 412.35

x = 412.35 - 252.60

x = 159.75

Answer:

297.2

Step-by-step explanation:

549.8 ÷ 4 = 137.45

549.8 - 252.60 = 297.2

ARE THESE FUNCTIONS YES OR NO? PLS HELP ME

Answers

Only graph 5 is a function because if you do the vertical line test, you draw a vertical line anywhere on the graph. If the parabola crossed the line twice it would not be a function.
1 - Function
2 - Not a Function
3 - Function
4 - Not a Function
5 - Function
6 - Function

question 9: find the radius of the cylinder with a volume of 45m cubed and a height of 9m round your anwser to the nearest tenth.​

Answers

Answer:

1.26 but rounded to the nearest 10 would be 1.3 so 1.3 is your answer

Step-by-step explanation:

people in here again and again. I think this is the last question

Answers

Answer:

2.4 cm

Step-by-step explanation:

We know the length of segment AB and the length of segment BC. To find their midpoints, we can divide their length by 2.

Let's find the midpoint of AB.

Segment AB: 10 cm Midpoint of AB: 10/2 = 5 cm

Next let's find the midpoint of BC.

Segment BC: 5.2 cmMidpoint of BC: 5.2/2 = 2.6 cm

In order to find the difference between these midpoints, we can subtract the midpoint of AB by the midpoint of BC.

5 cm - 2.6 cm = 2.4 cm

Therefore, the difference between the midpoints of AB and BC is 2.4 cm.


Find the missing term in the geometric sequence. 180,___,5

Answers

Answer:

30.

Step-by-step explanation:

first term = a

3r term = ar^2

So here ar^2/ a  = r^2

r^2 = 5/180 = 1/36

r = 1/6

So missing term = 180 * 1/6 = 30.

The rectangle shown has a perimeter of 98 cm and the given area. Its length is 7 more than 5 times its width. Write and solve a system of equations to find the dimensions of the rectangle.

Answers

Answer:

35 is its width and 63 is its length.

Step-by-step explanation:

7 x 5 = 35 and 98 - 35 equals 63 which is the length.

Evaluate a+4a+4a, plus, 4 when a=7a=7a, equals, 7.

Answers

Answer:

11

Step-by-step explanation:

a + 4 when a = 7

First, plug in 7 for a.

7 + 4

Add.

11

This is your answer.

Hope this helps!

Please help it’s algebra!!!!!!

Answers

Answer:

a). -6x³ - 12x²    b). -12     c). 12

Step-by-step explanation:

a). (g x f)(x) can also equal f(g(x))

= f (2x +4)

= -3x² (2x+4)

= -6x³ - 12x²

b). f(g(-1))

g(-1) = 2(-1) + 4

= -2 + 4

= 2

f(2) = -3x²

= -3(2)²

= -12

c). g(h(3))

h(3) = 3x-1/2

= 3(3) - 1 / 2

= 4

g(4) = 2x + 4

= 2(4) + 4

= 12


Need HELP plzzzzzzzzz

Answers

Answer:

answer = 130 degree.

Step-by-step explanation:

I hope is correct.

Answer:

choice 2) angle DOC = 145 degrees

Step-by-step explanation:

angle ABD = 1/2(30 degree arc) = 15 degrees because of the inscribed angle theorem.

angle AOB = 180 - 20 - 15 = 145 degrees

angle DOC  = angle AOB because it is a vertical angle to 145 degrees.

Please help!!
Find the value of x to the nearest tenth.

Answers

Answer:is it 1

Step-by-step explanation:

Find the answer for m∠EFD

Answers

Given:

In triangle DEF, [tex]DE = EF[/tex] and [tex]m\angle 98^\circ[/tex].

To find:

The measure of angle EFD.

Solution:

In triangle DEF,

[tex]DE = EF[/tex]           (Given)

It means triangle DEF is an isosceles triangle.

[tex]m\angle EDF=m\angle EFD[/tex]           (Base angles of an isosceles triangle are equal)

Using angle sum property in triangle DEF, we get

[tex]m\angle DE F+m\angle EFD+m\angle EDF=180^\circ[/tex]

[tex]98^\circ +m\angle EFD+m\angle EFD=180^\circ[/tex]

[tex]2m\angle EFD=180^\circ-98^\circ[/tex]

[tex]2m\angle EFD=82^\circ[/tex]

Divide both sides by 2.

[tex]m\angle EFD=\dfrac{82^\circ}{2}[/tex]

[tex]m\angle EFD=41^\circ[/tex]

Therefore, the measure of angle EFD is 41 degrees.

help please. i have no idea how to do this.

Answers

Answer:

ill help u lol im pretty positive its 8

What are the solutions of x2 - 4x+5 = 0?
O A. x= 2+i or x = 2-i
B. X= 2+1 or x = 2- ;
C. x = 3 + i or x = 3 - i
D. x = 14 or x=1

Answers

Answer:

x=2+i, 2-i

Step-by-step explanation:

Use symbolab, it's literally so easy.

I need the answers please don't let me down ​

Answers

Answer:

5 years

Step-by-step explanation:

Hope I helped!

pls help me 10 points

Answers

Answer:

1st one is cluster 2nd is outliers 3rd is neither and 4th is outliers.

Step-by-step explanation:

given f(x)=4x^2 and g(x)=-1/5x^2 choose true or false

A f(x) and g(x) have the same axis of symmetry

B f(x) is wider than g(x)

C f(x) is narrower than g(x)

Answers

it is gonna be c trust me I know for a fact

Step-by-step explanation:

Hi...

You ask any irrelevant Question, that is why they get deleted.

y/3 + 2 = 14 I need help ​

Answers

Answer:

y = 36

Step-by-step explanation:

[tex]\frac{y}{3}+2 = 14\\\\\frac{y}{3}=14-2\\\\\frac{y}{3}=12\\\\y = 12*3\\\\y = 36[/tex]

A right triangle is a triangle that includes one right angle, measuring 90 degrees. It doesn't matter which of the three angles is 90 degrees. As long as one of them is, it's a right triangle.


What does a triangle need to have in order to be a right triangle?
A.two sides of equal length
B.one 90 degree angle
C.one obtuse angle
D.three sides of equal length

Answers

I think the answer is B if it is pls give branliest

If your driving 60miles an hour and you drive for 1hour how far do you travel?​

Answers

Answer:

60 miles

Step-by-step explanation:

There are two ways to solve this:

1. They tell you that you drive at 60 miles an hour, so , in an hour, you drive 60 miles.

2. Is the way you should use in the future:

Distance = speed * time

Substitute the speed and times.

Distance = 60 * 1

Thus, you drive 60 miles in one hour

The distance that should be traveled be 60 miles

As we know that

[tex]Speed = \frac{distance}{time}[/tex]

Here

speed be 60 miles per hour

And, the time should be one hour

So, the distance should be

[tex]= 60\ miles\ per hour \times one\ hour[/tex]

= 60 miles

Therefore the distance that should be traveled be 60 miles

Learn more about the distance here:brainly.com/question/23774048

please help
find the value of x in the isosceles triangle shown below.
V80
V80


Answers

Answer:

Option A. x = 8

Step-by-step explanation:

Please see attached photo.

From the attached photo,

we shall determine the value of y. This can be obtained by using pythagoras theory as illustrated below:

(√80)² = 8² + y²

80 = 64 + y²

Collect like terms

80 – 64 = y²

16 = y²

Take the square root of both side

y = √16

y = 4

Finally, we shall determine the value of x. This can be obtained as follow:

From the attached photo,

x = 2y

but:

y = 4

Therefore,

x = 2y

x = 2 × 4

x = 8

A grocery store surveys 200 random customers to see how frequently they will buy Charlie’s Chocolate Cereal. The results indicate that 30 people will buy the cereal monthly.

Estimate the number of customers that will buy the cereal monthly if 20,000 people shop at the store each month.

Answers

Answer:

this Question

The manager of a home-improvement store is reviewing last year's profit from paint and paint-related accessories. In January, the store earned 5% of its $60,000 profit from paint and paint-related accessories. Based on this information, the manager estimates that the store earned $30, 000 from paint and paint-related accessories last year. A: Is the managers estimate correct? Why or why not? B: Which answer shows the correct estimate for the store's total profit from paint and paint-related accessories last year? Select one answer that is completely correct for question A and select one answer for question B B: $3,000 A: No, the manager incorrectly used the statistic established from his research to estimate the given parameter A: No, the manager incorrectly used the parameter established from his research to estimate the given statistic. A-Yes, the manager correctly used the parameter established from his research to estimate the given statistic. A: Yes, the manager correctly used the statistic established from his research to estimate the given parameter. B: $30,000 B: $15,000 B: $36, 000 A grocery store surveys 200 random customers to see how frequenty they will buy Charlie's Chocolate Cereal. The results indicate that 30 people will by the cereal month Estimate the number of customers that will buy the cereal monthly if 20.000 people shop at the store each m Enter your answer as a number, like this:42 A university conducts a study of tobacco use among 1000 of its students. Researchers survey male volunteers and female volunteers to find the frequency of tobacco use. The study finds that, of the people surveyed, 250 men and 50 women regularly use tobacco. The university concludes that male students use tobacco more frequently than female students. Which of the following situations would create a lurking variable that could impact the study? There may be more than one correct answer. Select all that apply. D if the university surveyed only men who used tobacco at least once in high school, participarnt history would be a lurking variable. nif the university extended the study to include 2000 participants, the number of participants would be a lurking variable. If the university surveyed more men than women, the number of male and female participants would be a lurking variable. If the university surveyed only students aged 18 to 22, the age f participants would be a lurking variable if the university conducted surveys between only 8 a.m, and 2 p.m., the time of day would be a

What is the equation of a line .........

Answers

Answer:

y = -x + 2, B is the answer

Step-by-step explanation:

If slope is -1, the equation is y = -x+b

Plug in (3,-1) into that equation.

-1 = -3 + b

b = 2

Pl S help pls np helps helpss

Answers

Answer:

2 dollars each I think........

Can y’all recount a story where you were proud of yourself for making a good decision when it was really difficult? Thanks!

Answers

Answer:

i was proud of myself when I finally figured out a difficult math problem. I didn't even ask for help. it was a hard time for me but I eventually came through.

11:59
Question 1
2 pts
In isosceles triangle JKL, JK KL. If the measure of
angle J is 47°, find the measure of angle K.
*Note: Do NOT include the degree in your answer.

Answers

Answer:

86

Step-by-step explanation:

Since ∆JKL is an isosceles triangle, it's base angles (<L and <J) would be equal to each other.

<L is opposite to side JK, <J is opposite to side KL.

m<J is given as 47°. Therefore,

m<L = m<J = 47°

m<L = 47°

m<J + m<L + m<K = 180° (sum of triangle)

47° + 47° + m<K = 180° (substitution)

94° + m<K = 180°

m<K = 180° - 94°

m<K = 86°

Hello can someone please help me with this

Answers

D: an outlier exists on the far right

Help plssssss!!!!!!!!!!

Answers

Answer:

-4

Step-by-step explanation:

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