Kishany is investing in a savings account that earns 3.85% interest compounded annually. How much will Kishany have in the account at the end of the 3rd year if she deposits $600 in the account?

a
$2,310
b
$672.00
c
$558.38
d
$669.30

Answers

Answer 1

Answer:

The amount in the account after 3 years is $672.00

Step-by-step explanation:

Here, we want to use the compound interest formula

A = P(1 + r/n)^nt

A is the amount in the account after the given time

P is the principal which is the deposit amount = $600

r is the interest rate = 3.85% = 3.85/100 = 0.0385

n is the number of times interest is compounded yearly (since it is annually, n = 1)

t is the time in years = 3

Substituting these values;

A = 600(1 + 0.0385/1)^(3 * 1)

A = 600(1.0385)^3

A = $672


Related Questions

If 12 gallons of gas cost 37.50, how much would 16.5 gallons cost ? Which proportion could be used to solve this problem?

Answers

Answer:

$51.56

Step-by-step explanation:

Given data

We are given that

12 gallons of gas cost $37.50

Required

The cost of 16.5 gallons

If 12 gallons of gas cost 37.50

then 16.5 gallons will cost x

cross multiply

12x= 16.5*37.5

12x= 618.75

x= 618.75/12

x= $51.56

Hence 16.5 gallons will cost $51.56

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Answers

YES YES BUT I WILL BE BACK TO THE LANE

Matt saves 7 dollars every week in order to buy a guitar. Write an equation, using x for the independent variable and y for the dependent variable. If he saved for 19 weeks, how much money did he save?

Answers

Answer:

y = 7x

y = $133

Step-by-step explanation:

x = independent variable

y = dependent variable

y = 7x

Where,

y = total amount saved

x = number of weeks

7 = constant

When x = 19

y = 7x

y = 7 * 19

y = 133

y = $133

It’s urgent please help

Answers

Answer:

domain is always the x values and y values are the range of x.

It's option A

Can someone help me find the measure of each angle in the diagram?

Answers

Answer:

we cant read the numbers cuz theyre too small

AYUDAAAAAAAAAAAAAAAAAAAAA
si la medida de un angulo es tres veces la medida de su suplemento cual es la medida del angulo

Answers

Answer:

El ángulo lo representaremos por A

Su suplemento es 180-A

A=3(180-A)

A=540-3A

3A+A=540

4A=540

A=540/4

A=135°

Step-by-step explanation:

135=3(180-135)

135=3(45)

135=135

The measure of the angle is 135 degrees when the measure of an angle is three times the measure of its supplement.

Let's denote the measure of the angle as x.

The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. So, the measure of the supplement of the angle is 180 - x.

According to the given information, the measure of the angle is three times the measure of its supplement. Mathematically, we can express this as:

x = 3( 180 - x )

Now, let's solve this equation to find the measure of the angle:

x = 3( 180 - x )

x = 540 - 3x

4x = 540

x = 540 / 4

x = 135

Therefore, the measure of the angle is 135 degrees.

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The question is in Spanish question in English is :

If the measure of an angle is three times the measure of its supplement, what is the measure of the angle?

Which property of multiplication is shown?

4 · 2 + 4 · 5 = 4 · (2 + 5)

Answers

Answer:

i think it is the most difficult one

Answer:

11 I think I'm not sure though

Determine number of solutions in system​

Answers

Answer:

one solution;

x=-2.5

y=-1

Y= -1 I hope this is right


P(q) = -0.01(q - 250)(- 80)
The equation above gives the profit, P(q), in dollars, earned by a cupcake bakery when q
cupcakes are produced. What is the best interpretation of the number 80 in this context?
80 is a number of cupcakes for which the profit is equal to $0.
B
80 is the number of cupcakes that corresponds to the maximum profit.
80 is the number of cupcakes that corresponds to the minimum profit.
880 is the maximum profit, in dollars.

Answers

Answer: 80 is the number of cupcakes for which the profit is equal to 0

Step-by-step explanation:

The best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.

What is Profit?

Profit is the amount which we earned after selling something at a price more than its cost price.

We have,

P(q) = -0.01 (q - 250) (q- 80)

Where,

P(q) = profit earned by a cupcake bakery  in dollars

q = cupcakes produced

So,

Now,

We have to find out the context of 80 in given equation,

So,

Lets substitute q = 80, in the given equation,

i.e.

P(q) = -0.01 (q - 250) (q- 80)

P(80) = -0.01 (80 - 250) (80- 80)

We get,

P(80) =  -0.01 (- 170) (0)

i.e.

P(80) = 0

So, 80 is a number of cupcakes for which the profit is equal to $0.

Hence, we can say that the best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.

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PLEASE HELP
4. Nuts.com sells almonds for $

Answers

Answer:

Nuts.com sells almonds for money even though we can get them from walmart.

Step-by-step explanation:

who names their website Nuts.com

The measure of angle R is 129 degrees,
What is the measure of angle S?

Answers

Answer:51

Step-by-step explanation:

How do I find the geometric mean of 275 and 11??

Answers

Answer:

The geometric mean of x=275 and y=11 is 55

Step-by-step explanation:

A hexagon as all sides of length 2 cm. What will the area of the hexagon be, if it is enlarged with scale factor 3?

Answers

Answer: [tex]93.53\ cm^2[/tex]

Step-by-step explanation:

Given

The side of the hexagon is [tex]a=2\ cm[/tex]

If it enlarged with scale factor 3 i.e. each side is 3 times before

The new side of the hexagon is [tex]a'=3\times 2=6\ cm[/tex]

The area of the hexagon is

[tex]A=\dfrac{3\sqrt{3}}{2}a^2[/tex]

Putting values we get

[tex]\Rightarrow A=\dfrac{3\sqrt{3}}{2}\times 6^2\\\\\Rightarrow A=\dfrac{3\sqrt{3}}{2}\times 36=54\sqrt{3}\ cm^2\\\\\Rightarrow A=93.53\ cm^2[/tex]

Solve for e. 0.75(8+e)=2−1.25e0, point, 75, left parenthesis, 8, plus, e, right parenthesis, equals, 2, minus, 1, point, 25, e

e

=

Answers

Answer:Sep 7, 2011 — (a) For x = 1 the left-hand side is 4 and the right-hand side is 2. ... (e) The inequality is equivalent to n 2 n +4 2 0, i.e. n 2 2n 8 n +4 0, or 3n 10 ... (a) Cancel the factor 25ab. ... (d) Expanding the parentheses we get p ... The set of points that satisfy the inequality 3x + 4y 12 are those on or below the straight line

Step-by-step explanation:

Hope it helps

ty in advance for whoever does this. Find the range and put it on the graph. thank you <3

Answers

Answer:

Step-by-step explanation:

[tex]y_{1}[/tex] = - 4 - 2( - 3) = 2

[tex]y_{2}[/tex] = - 4 - 2( - 2) = 0

[tex]y_{3}[/tex] = - 4 - 2( - 1) = - 2

[tex]y_{4}[/tex] = - 4 - 2( 0 ) = - 4

[tex]y_{5}[/tex] = - 4 - 2( 1 ) = - 6

Range: { 2, 0, - 2, - 4, - 6 }

A superhero and his sidekick simultaneously leave the city and fly toward a secret hideout that is 1800 km away. The superhero's speed is 100 km/h slower than the sidekick's speed, and so he arrives at the hideout 36 minutes after his sidekick. Find the speed of each

Answers

Answer:

Speed of sidekick : 600

Speed of superhero : 500

Step-by-step explanation:

x = sidekick speed

speed of hero = x-100

Time of hero = -36

1800/(x-100) = (1800/x) + 0.6

That equations solves to x = 600 and x = 500 or -500

The given difference in speed and the arrival time, as well as the

distance traveled, gives the speeds as 500 and 600 km/hr.

Response:

The speed of the superhero is 500 km/hr.The speed of the sidekick is 600 km/hr.

Which method is used to calculate the speed of the superhero, and the sidekick?

The given parameters are;

Superhero's speed = 1800 km

Speed of the superhero = Speed of the sidekick - 100 km/h

The time the superhero arrives at the hideout = 36 minutes after the sidekick = 0.6 hours

Required:

The speed of the superhero and the sidekick

Solution:

Let v represent the speed of the superhero, we have;

v × (t + 0.6) = (v + 100) × t

v·t + 0.6·v = v·t + 100·t = 1800

0.6·v = 100·t

[tex]t = \dfrac{0.6}{100} \cdot v[/tex]

Therefore;

0.006·v² + 0.6·v - 1800 = 0

Which gives;

v² + 100·v - 300,000 = 0

(v - 500)·(v + 600) = 0

v = 500, or v = -600

The speed of the superhero is 500 km/hThe speed of the sidekick is 500 km/h + 100 km/h = 600 km/h

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what is ratio?
what is rote?
write each of ffg ratio in its simplest form . first make the units the same in each case

a)90 sec to 7min
b)48min to 3hours
c)2,5 days to 80hours
d)3 800mm to 3m
e)2,5 to 7am
f)5 300m to 2,5km​

Answers

Answer:

a) 3 : 14

b) 4 : 15

c) 3: 4

d) 19 : 15

e) 53 : 25

Step-by-step explanation:

a)90 sec to 7min

We convert 7 mins to seconds

1 minute = 60 seconds

7 minutes = x seconds

Cross Multiply

x = 7 × 60 seconds = 420 seconds

Hence,

Our ratio is

90 seconds : 420 seconds

Divide both sit by 30

= 3 : 14

b)48min to 3hours

We convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x minutes

Cross Multiply

x = 3 × 60 minutes = 180 minutes

Hence,

Our ratio is

48 minutes : 180 minutes

Divide both sides by 12

4 : 15

c)2.5 days to 80hours.

We are converting 2.5 days to hours

1 day = 24 hours

2.5 days = x

Cross Multiply

x = 2.5 × 24 hours = 60 hours

Hence,our ratio

60 hours : 80 hours

Divide both sides by 20

3: 4

d)3 800mm to 3m

We convert 3 m to mm

1 m = 1000 mm

3 m = x mm

Cross Multiply

x mm = 3 × 1000 mm

x mm = 3000mm

Hence, ratio is

3800 mm : 3000mm

Divide both sides by 200

19 : 15

e)5300m to 2.5km​

We convert km to m

1 km = 1000 m

2.5 km = x m

Cross Multiply

x m = 2.5 × 1000m

x = 2500m

Hence, our ratio

5300m : 2500m

Divide both sides by 100

53 : 25

which answer choice ?

Answers

If you win the game then you know the rules of the game. The contrapositive is the inverse of the stamens.

Find two mixed numbers so that the sum is seven wholes and two eights and the difference is two wholes and four eigths

Answers

Answer:

Step-by-step explanation:

x + y = 7 + 2/8 = 58/8

x - y = 2 + 4/8 = 20/8

Add the equations together

2x = 78/8

x = 39/8

y = x - 20/8 = 19/8

x = 39/8 = 4⅞

y = 19/8 = 2⅜

1. Consider the circle to the right,

Part A: Determine mzSBE.

Part B: Determine mob.

S

52

B

Answers

Answer:

m∠SBE = 26°,  [tex]m\hat O B[/tex] = 126°

Step-by-step explanation:

The arc of a circle is a portion of the circumference of the circle. For a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc.

Central angle is an angle whose vertex is on the center of the circle and endpoints on the circumference of the circle. If the endpoints of the central angle are are also the endpoints for the angle's intercepted arc, then both angles are congruent.

Also, the angle at the center is twice the angle at the circumference.

Angle at center = [tex]m\hat S E[/tex] = 52° (central angle is congruent with angle that intercept the arc)

2 * m∠SBE = central angle (angle at the center is twice the angle at the circumference)

2 * m∠SBE = 52

m∠SBE = 26°

2 * m∠BEO = central angle (angle at the center is twice the angle at the circumference)

2 * 63 = central angle

central angle = 126°

Angle at center = [tex]m\hat O B[/tex] = 126° (central angle is congruent with angle that intercept the arc)

In​ Joe's fish​ tank, there are 9 goldfish and 13 snails. How does the ratio 9​:22 describe​ Joe's fish​ tank?


A. The ratio 9​:22 compares the number of snails to the total number of animals.

B. The ratio 9​:22 compares the number of snails to the number of goldfish.

C. The ratio 9​:22 compares the number of goldfish to the number of snails.

D. The ratio 9​:22 compares the number of goldfish to the total number of animals.


Please answer soon, I'm on a time limit.

Answers

the answer is D !!!

The scatter plot and line of best fit below show the length of 7 people's femur (the
long leg bone in the thigh) and their height in centimeters. What is the meaning of
the y-value on the line when x = 40?

Answers

Answer:

An expected height of 160.6 centimeters when the femur has a length of 40 centimeters.

Step-by-step explanation:

The line of best fit makes a prediction. In other words, it tells us what height to expect for any given femur length.

x represents femur length and y represents height, so the y-value on the line when x=40x is the expected height when the femur length is 40 cm.

Using the Regression model given, the meaning of the expression is " the expected height of the individual with a femur length of 40 would be about 160 cm

The regression model compares the relationship between the independent and dependent variable. Here, Femur length and height

The height of the individual with a femur length of 40 cm would be about 160cm.

Hence, the expected height of the individual with a femur length of 40 would be about 160 cm.

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a charm on a lucy's bracelet had the dimensions shown what is the area of the charm​

Answers

Answer:

13

Step-by-step explanation:

Find the hcf of 27 and 36

Answers

Answer:

9

Step-by-step explanation:

anyone help giving 5 stars

Answers

Answer:

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If the sum of 37 and 12 x is 286, what is the value of x?

Answers

Answer:

x = 20.75

Step-by-step explanation:

37 + 12x = 286    <-- Subtract 37

12x = 249     <-- Divide by 12

x = 20.75

Jeffrey has a wooden board that is 2/3 yards long. He wants to cut the board into pieces that are 1/9 yards long. How many pieces can he cut?

Answers

Answer: 6 boards

Step-by-step explanation:  If you convert 2/3 into ninths by multiplying by 3/3 you will get 6/9.  You can then easily see that 6/9 has 6 individual 9ths or 6 boards to cut.

A square has a perimeter of 28
inches. Another square has a
perimeter of 20 inches. What
is the difference of their
areas?

Answers

Answer:

24

Step-by-step explanation:

To find the side length of a square, you have to divide the perimeter by 4 (since a square has 4 sides). 28 divided by 4 is 7 and 20 divided by 4 is 5. to find the area of each square, you have to multiply each side length by two. 7 times 7 is 49 and 5 times 5 is 25. 49 minus 25 is 24.

Helppppp I’m literally so confused this makes no sense

Answers

Answer:

#1: Alternet Exterior

#2: Corresponding

#3:Same Side Interior

#4:Alternate Interior

Step-by-step explanation:

(The Blue box in the image represent the inside/interior)

Hopefully the image helps!

The two rectangles are similar. What is
the length of x?

Answers

Answer:

x = 5

Step-by-step explanation:

The two rectangles are similar. What is

the length of x?

For the bigger rectangle

Length = 5

Width = 5

For the smaller rectangle

Length = x

Width = 5

We find x using Proportion

Width/Length

= 5/5 = 5/x

Cross Multiply

5x = 5 × 5

x = 25/5

x = 5

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