A person invests 1500 dollars in a bank. The bank pays 4% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 1800 dollars?

Answers

Answer 1

Answer:

4.6 years

Step-by-step explanation:

We are to calculate the time in years.

The formula is given as:

t = ln(A/P) / n[ln(1 + r/n)]

Where:

A = Amount after t years = 1800

P = Initial Amount invested = 1500

r = Interest rate = 4%

n = Frequency at which the interest was compounded = Annually = 1

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(1,800.00/1,500.00) / ( 1 × [ln(1 + 0.04/1)] )

t = 4.649 years

Approximately = 4.6 years


Related Questions

If ∠2 and ∠3 are complementary angles and m∠2 = 24°, find m∠3.

Answers

Answer:

sorry dont know

Step-by-step explanation:

Answer:

yessadadasdadada

Step-by-step explanation:

What is the answer of this equation?
100 = r + 10

Answers

Answer:

90 + 10 = 100 ;-;

Step-by-step explanation:

42= 10+x (7-100) = 10+ r

yeahh!

plz help me with this question

Answers

The correct answer is 50

Which equation represents the like that is parallel to y= 3 and passes through (-2,-8)
A. X=-2
B. X=-3
C. Y=-8
D. Y=3x-2

Answers

The answer is y=-8

Hope this helps

If a = 12 in and b = 25 in, what is the area of the pencil? A. 372 in2 B. 169 in2 C. 322 in2 D. 444 in2

Answers

Answer:

1169 in^2 Approx

Step-by-step explanation:

Given data

We know that the shape of the pencil is cylindrical

Hence the dimension is

Diameter= 12in

Radius= 12/2= 6in

Height= 25in

The surface area of a cylinder is given as

T.S.A.=2πrh+2πr^2

Substitute

T.S.A.=2*3.142*6*25+2*3.142*6^2

T.S.A.=942.6+226.224

T.S.A=1168.824

Hence the area is 1169 in^2 Approx

Put the following equation of a line into slope-intercept form, simplifying all fractions. 4x – 24y = 72​

Answers

4x - 24y = 72

First subtract 4x from each side

-24y = -4x + 72

Divide each side by -24 so y is by itself

y = -4/-24x + 72/-24

To simplify -4/-24, the greatest common factor they have is -4, so divide the numerator and denominator by -4

y = 1/6x + 72/-24

To simplify 72/-24, the greatest common factor is 24, so divide the numerator and denominator by 24

y = 1/6x - 3

This is now in slope intercept form

Please help me! I need this answered fast!

Answers

Answer:

Number 5 is D

Number 6 is A

The hanger image below represents a balanced equation.

Write an equation to represent the image.

Answers

Answer:

The equation is : r + 2 = 7

Step-by-step explanation:

1+1+1+1+1+1+1 = r + 1 +1

7 = r + 2

R = 7-2

R = 5

The equation to represent the image is 2 + r = 7.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given is an image of the hanger which is in the balanced form.

Balanced form means that both sides are having the same amount.

That is, both sides of the hanger consist of some expressions which are equal to each other.

The left hand sides consists of 7 one's.

So the left hand sides is 7 × 1 = 7

Right hand side consists of 2 ones and an unknown value r.

So right hand side consists of 2 + r.

Both sides are equal.

The equation can be written as,

7 = 2 + r

2 + r = 7    [By commutative property]

Hence the equation is 2 + r = 7.

Learn more about Equations here :

https://brainly.com/question/12506817

#SPJ7

I need help pls thank you
Blah blah

Answers

Answer:

TSP RSU

Step-by-step explanation:

Hope this helps!

A BUSHEL OF APPLES WEIGHS ABOUT 42 POUNDS. THERE ARE 4 PECKS OF BUSHELS. IT TAKES 2 POUNDS OF APPLES TO MAKE ONE PIE. HOW MANY PIES CAN YOU MAKE WITH ONE PECK OF APPLES?

Answers

Answer:

84  pies

Step-by-step explanation:

if you multiply 42 pounds by4 pecks. You get 168 pounds. and then you divide that by 2 and you can make 84 pies

Find the inverse function. f (x) = 1/x+2​

Answers

Answer:

f^-1(x)= 1/(x-2)

Step-by-step explanation:

interchange the variables and solve for y.

Someone help with the second question

Pleaseeeee

Answers

Answer:

Answer shown above.

Have a good day

Given f(x) = 2x^3+ 9x + k, and x + 1 is a factor of f(x), then what is the value of k?

Answers

Answer:

11

Step-by-step explanation:

to understand thisyou need to know about:factor theoremtips and formulas:if f(c)=0 then x-c is a factor of f(x)let's solve:

according to the question

2(-1)³+9(-1)+k=0

=>2(-1)+9(-1)+k=0

=>-2-9+k=0

=>-11+k

therefore

k=11

please help me with this ! i need to turn this asap !!!


Graph the function f(x) =0.5x2− 2x− 2. Find the axis of symmetry, the vertex, and the y-intercept.

Answers

I got

A.O.S = x=2

Vertex = (2,4)

Y - intercept = (0,-2)

7/4 x 1 = 7/4 x ?/? = 35/20

Answers

Answer:

5/5

Step-by-step explanation:

7/4 × 5/5 = 35/2

hole this helps

Find the point(s) of intersection, if any, between the circle and line with the equations given

Answers

Answer:

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

so the two points of intersection will be (1,3) and (-4,-2)

hope this helps!

Please give me the correct answer.Only answer if you're very good at math.​

Answers

Answer:

1st graph

Step-by-step explanation:

this is the only graph that begins at 24, has a negative slope, is linear, and ends at (8,0) which, after 8 hours losing 3 pots per hour, makes sense

It is the top left graph

I can tell because at 0 hours, they started out with 24 plants, which means there should be a point at (0,24). I also know that free every hour, they remove 3 plants, so the line should be going down (as the number of pots keeps on getting lower).

Explain how you know that 88 is a solution to the equation 18x=11 by completing the sentences: The word "solution" means . . . 88 is a solution to 18x=11 because . . .

Answers

Correct Question:

Explain how you know that 88 is a solution to the equation 1/8x =11 by completing the sentences:

The word "solution" means . . .

88 is a solution to 1/8x=11 because . . .

Answer/Step-by-step explanation:

✔️The word solution means the value of the unknown variable, x. This means, when the value of x is substituted into the equation, the equation becomes balance as the value on the left equals the value on the right.

✔️88 is a solution to ⅛x = 11 because:

if we substitute x for 88 into the equation, both sides would be equal.

Thus:

⅛×88 = 11

11 = 11

3. Malala bought a 5-pound bag of dog food. She feeds her dog 1/3 pound of dog food every day. How many days will the bag of food last

Answers

it will last for five days

PLEASE HELP I BEG YOU!!!
What is the longest line in a cube that has a side length of 7 cm?

Answers

Answer:

14cm

Step-by-step explanation:

All side lengths in a cube will be 7 as the properties of a cube are such that all the side lengths are the same.

Think of the longest line in a cube as a hypotenuse on a triangle.

[tex]7^{2} + 7^{2} = c^{2}[/tex]

49 + 49 = [tex]c^{2}[/tex]

[tex]c^{2}[/tex] = 98

c = [tex]\sqrt{98}[/tex]

[tex](\sqrt{98})^{2} + (\sqrt{98} )^{2}[/tex] = [tex]c^{2}[/tex]

[tex]c^{2}[/tex] = 98 + 98

[tex]c^{2}[/tex] = 196

c = [tex]\sqrt{196}[/tex]

c = 14

The longest line in a cube that has a side length of 7cm is 14cm.

Jason can travel 24 3/4 miles in 1/2 hour. What is his average speed in miles per hour?

Answers

49.5 mph
just multiply the miles by 2 because it is only half an hour

Answer:

24 3/4 miles is the distance

1/2 hour - is time

V=S/t

24\frac{3}{4}

4

3

/ 0.5 = \frac{(24*4+3)2}{4}

4

(24∗4+3)2

=49.5 miles per hour


Ashley had a summer Lemonade Stand where she sold small cups of lemonade for $1.25 and large cups of lemonade for $2.50 if Ashley sold a total of 150 cups of lemonade for $265 how many cups of each type did she sell ​

Answers

Answer:

Step-by-step explanation:

S and L are the number of small cups and large cups, respectively.

S + L = 150

L = 150 - S

1.25S + 2.50L = 265

1.25S + 2.50(150-S) = 265

1.25S - 2.50S + 375 = 265

S = 88

L = 150-S = 62

My friend needs some help

Answers

Answer: 6 Gallons per minute

Step-by-step explanation: 42 divided by 7 will get you 6

Answer:

6 gallons/minute

Step-by-step explanation:

42 gallons/7 minutes

= 6 gallons/minute

ASAP PLEASE. What is the quotient?
five with an exponet of negative six over five to the power of 3.
5^-6/5^3

a. 1/5^9

b. 1/5^2

c. 5^2

d. 5^9

Answers

It’s A since it’s matches the example

GIVING BRAINIEST

The order in which you add or multiply two values doesn't affect the outcome is what property?
A. Additive Inverse
B. Associative Property
C. Commutative Property

Answers

Answer:

C. Commutative Property

Step-by-step explanation:

The commutative property of multiplication states that when two numbers are being multiplied, their order can be changed without affecting the product.

:)


Find the measure of the indicated angle. Round to the nearest degree.
21
33

Answers

Answer:

The angle is 50 degrees

Step-by-step explanation:

Sine = Opposite / Hypotenuse

Sine ? = 21 / 33

21 / 33 = 0.6363

Cos-1 of 0.6363 is 50.4788

Round to the nearest degree

50.4788 = 50

sine^- 1 21/33 = θ

Answer: Approximately 0.7 or 70 degrees.

What are the next three terms in the sequence 90, 84, 78,
72, ...?

Answers

Answer:

68, 62, 56

Step-by-step explanation:

Hope this helps :)

Answer:

after 72 its...

Step-by-step explanation:

66 , 60 , 54 ...

you are simply just subtracting 6 from every number.

Devon wants to build a ramp with the dimensions shown. How much wood does he need?
470 in.2
560 in.2
568 in.2
680 in.2
I WILL MARK BRAINLIEST ANSWER WITH STEPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

680 in^2

Step-by-step explanation: (find the surface area)

2(8 x 15 x 1/2) = 120

8 x 14 = 112

17 x 14 = 238

15 x 14 = 210

Answer:

This ain't an answer, the other guy is right I'm just putting this here so he can get brainliest

Step-by-step explanation:

2) It is a subset of a line consisting of two endpoints and all the points in between.

a) Ray b) Line Segment c) Opposite Rays d) Congruent Segments​

Answers

Answer:

b.line segment

Step-by-step explanation:

line segment is a piece and or part of a line having two end points

I dont know how to do this pls help me ​

Answers

x = 36 Answer

By Pythagoras Theorem

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