Mathematics High School

Addison invested $440 in an account paying an interest rate of 2%
compounded continuously. 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 $610?

Answers

Answer 1

Answer:

16.3

Step-by-step explanation:

Continuously compounding interest formula:

pe^(r*t)

we know that

440e^(.02x)=610

Sovle for x

e^.02x=1.38

.02x=ln1.38

.02x=.3267

x=16.3

Answer 2

Answer:

16.3

Step-by-step explanation:

I got it right  

Related Questions

what is 512.3 divded by 100

Answers

Answer:

the answer is 5.123

Step-by-step explanation:

have a good day <3

Answer:

5.123

Step-by-step explanation:

Just need to move the decimal two times to the left because there are two zeros.

Plz help due tomorrow

Answers

Answer:

20.5+10x

Step-by-step explanation:

Which graph represents the function?

f(x)=1x−1−2

IS MY ANSWER CORRECT????

Answers

Yes your answer is right

You can use the graph given to form the equation and using the fact that as the denominator goes towards zero, the fraction outputs immensely big magnitude numbers(tending to arbitrarily large numbers)

The equation for the given graph can be:

[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]

How to find the function which was used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Using the graph to form the equation

Since the graph goes to negative infinity as it comes from left side of 1 towards 1, and goes to positive infinity as it comes from the right side of 1, thus, there might be x-1 in denominator which takes the magnitude to infinite and sign to + if x > 1 and to - if x < 1

Now since the graph intersects the y axis at y = -3, thus, we need the function to be such that putting x = 0 in the function  outputs -3 as value of the function.

Thus,

[tex]f(0) = -3[/tex]

Since putting 0 in [tex]\dfrac{1}{(x-1)}[/tex] gives -1 as answer, we have to subtract 2 more.

Thus, we have:

[tex]f(x) = \dfrac{1}{x-1} - 2[/tex]

Checking it, as the graph intersects the x axis at 1.5, putting f(x) = 0 should give us x = 1.5,

[tex]f(x) = \dfrac{1}{x-1} - 2\\\\0 = \dfrac{1}{x-1} - 2\\\\2(x-1) = 1\\\\x = 1 + \dfrac{1}{2} = 1.5[/tex]

It is correct.

Thus,

The equation for the given graph can be:

[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]

Its graph is attached below.

Learn more about graphing functions here:

https://brainly.com/question/17056821

50/20 equals 20 over X​

Answers

Answer:

50/x

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

cross multiply:

50*x = 20*20

50x=400

divide by x (50)

50x/50 = 400/50

x=8

A=6 b=4 c=1/3 what is 9c

Answers

Answer:

9c=3

Step-by-step explanation:If c=1/3      9/3=3

Explain the difference between an x and a y-intercept.

Answers

Step-by-step explanation:

so pretty much y= is the line that goes up and it has its own numbers right. the x= is the line that goes at the bottom right right

HURRY PLEASE, can you have a abotuse triangle with one acute angle? explain

Answers

Answer:

No

Step-by-step explanation:

Mia and her children went into a bakery where they sell cupcakes for $2.75 each and
brownies for $1.25 each. Mia has $30 to spend and must buy at least 14 cupcakes
and brownies altogether. If x represents the number of cupcakes purchased and y
represents the number of brownies purchased, write and solve a system of
inequalities graphically.

Answers

Answer:

[tex]x = 8.5[/tex] and [tex]y = 5.3[/tex]

Step-by-step explanation:

Given

[tex]x = cupcakes[/tex]

[tex]y = brownies[/tex]

From the first statement:

[tex]2.75x + 1.25y = 30[/tex]

From the second statement:

[tex]x + y \le 14[/tex]

Required

Solve graphically

I've written the equations (above) and they are:

[tex]x + y \le 14[/tex]

[tex]2.75x + 1.25y = 30[/tex]

See attachment for graph.

The blue line represents [tex]2.75x + 1.25y = 30[/tex]

The shaded part of the graph represents [tex]x + y \le 14[/tex]

From the graph, the solution is:

[tex]x = 8.5[/tex]

[tex]y = 5.3[/tex]

HELP PLS ASAP!!!!!!!!!!

Answers

Answer:

ima say 43

Step-by-step explanation:

its hard but look the caculate it

In a soup kitchen, 22 pounds of rice was used during the lunch. If 110 people came to have lunch, about how many pounds of rice was used by each person?

Answers

Answer:

0.2 pounds of rice

Step-by-step explanation:

To find how much rice was used by each person, divide 22 by 110

22/110

= 0.2

So, each person used 0.2 pounds of rice

write the equation for the line that goes through point (12, 15) with slope m = -2​

Answers

Answer:

Y=5\4x

Step-by-step explanation:

gradient is given by ∆y/∆x

g=5/4

Y=MX+C

15=5/4(12)+c

15=15+c

C=0

y=mx+c

y=5\4x

What is the circumference of a circle whose radius measures 9 inches?

Answers

The circumference is 56.52 , because you have the radius which is 9 but you need to find the diameter to do that you need to multiply 9 times 2 and it gives you 18 and then you just multiply it my pi and the value of pi is 3.14 and then the last step is it multiply 3.14 times 18 and it gives you 56.52

cant use thisqwdwiwied

Answers

Answer:

ooffffffffffff have a good day/night lol

Answer:

What?? lol

Step-by-step explanation:

this is the question please help.​

Answers

the third option..!!

help pleaseee with this and the other ones

Answers

Answer:

x=8+√59 or x=8−√59

Step-by-step explanation:

For this equation: a=1, b=-16, c=5

1x2+−16x+5=0

Step 1: Use quadratic formula with a=1, b=-16, c=5.

x=

−b±√b2−4ac

2a

x=

−(−16)±√(−16)2−4(1)(5)

2(1)

x=

16±√236

2

x=8+√59 or x=8−√59

11 divided by 3 as a mixed number

Answers

Answer:

3 2/3

Step-by-step explanation:

Mary bought a 7lb bag of flour. She used 1/3 of the bag to bake wedding treats.

Answers

Answer:

she is left with 4.67 LB of flour.

Step-by-step explanation:

7 divided by 3 = 2.3333333

2.3333333 x 2 = 4.67

Help me please. need quickly. What is the value of Z

Answers

Answer:

z = 6

Step-by-step explanation:

[tex]8z-36=2z\\6z-36=0\\6z=36\\z=6[/tex]

What is the difference between the absolute value of -8 and the absolute value of 6?

A) 2
B) 8
C) 14
D) 16

Answers

The answer is A (2).

Find the value of 4n when n=3

Answers

Answer:

13

Step-by-step explanation:

4 * 3 = 12

4 multiplied by 3 is 12, so the answer is 12

simplify the expression: 4(-4+n) =

Answers

-16+4n


Just have to simplify

solve for z 7z + 4 - 9z = 8 (also please don't have the answer be a negative)

Answers

Answer:

z = -2

Step-by-step explanation:

lol okay If it said that

Find the slope on the coordinate plane (slope is rise/run).​

Answers

Answer:

-4/2 or -2/1

Step-by-step explanation:

the second answer is just simplified

Answer:

-4/2

Step-by-step explanation:

count how many times it goes up or down, then count how many times it takes to reach a point.

it goes down 4 times and it slides over to the right 2 times. the line is going down so its going to be negative

8x + 6 – 7x = 6
I need some help

Answers

Answer: x = 0

Step-by-step explanation:

Anyone got the answer? Would be nice pls

Answers

Answer:

20 cm^3

Step-by-step explanation:

The volume of a rectangular prism is V=length*width*height.  Therefore, to find the volume, plug in the values into the equation

V = (2/3)*5*6

V = 20 cm^3

In a store at the local mall, the price for sweaters was $30 each. In October, the price was raised by 20%. In December, the price was raised by 40%. What is the price of a sweater in this store now?

Answers

Answer:

Your answer

50.4 $

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

5. A mountain has a base and peak that are inaccessible. At point A, the angle of elevation of the peak is
30°. One kilometer closer to the mountain, at point C, the angle of elevation of 35º. Find the height
PB of the mountain.

Answers

Answer:

1.366km

Step-by-step explanation:

The height of the mountain is [tex]3.34Km[/tex]

Right angle triangle:

A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.

Let us consider that H represent the height of mountain.

Angle of elevation at point A and C shown in the diagram.

Apply tan function in triangle CBP.

            [tex]tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)[/tex]

Apply tan function in triangle ABP.

           [tex]tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)[/tex]

Substituting the value of equation 2 into equation 1.

      [tex]H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km[/tex]

Hence, The height of the mountain is [tex]3.34Km[/tex]

Learn more about the right angle triangle here:

https://brainly.com/question/64787

if 5 + root 3 divided by 7 minus 4 root 3 is equals to a + b root 3 find the values of a and b​

Answers

Answer:

a + b = 93.8

plz follow me

hope it help u

I don’t k is how to do this stuff

Answers

Answer:

x = 24.571

Step-by-step explanation:

A circles angle is 360 degrees, so you can work out x by equalling everything to 360

360 = 5x + 12 + 9x + 4

360 = 14x + 16

360 - 16 = 344

344 = 14x

344 ÷ 14 = 24.571

x = 24.571

So the smaller angle is 225°

And the bigger angle is 135°

(I'm guessing shape isn't to scale)

please help!! i'll give you brainliest, 5 stars, and a thanks

Answers

Answer:

2.25 I think

Step-by-step explanation:

Answer:

to find the answer out you need to find out 2/3 of $4.50 and to do that divide it by three. once you have figured that out multiply it by 2 and you will get your answer

Step-by-step explanation:

see above

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