A savings account earns 8% interest each year, compounded quarterly (4 times a year). If a person invests $100 and makes no further deposits or withdrawals, what is the balance in the account after 3 years?

Answers

Answer 1

Answer:

251.817012

Step-by-step explanation:

1. Write out equation to get 100(1.08)^n*4

2.  Use 3 for n

3. Simplify to get 100(1.08)^12

4. Solve to get 251.817012


Related Questions

373 students went on a field trip. Seven buses were filled and 16 students traveled in cars. How many
students were in each bus (b)? The variable should always go in the first term.

Answers

Answer: 35

Step-by-step explanation:

Answer:

There were 54 children in each bus.

Step-by-step explanation:

need help this is geometry will mark brainliest!!

Answers

Answer:

37.7 (approx.)

Step-by-step explanation:

The radius of the biggest circle is 3+2=5. And so the area is [tex]\pi (5)^2 = 78.54[/tex]. In the same way, the area of the two small circles are [tex]\pi (3)^2 = 28.27[/tex] and [tex]\pi (2)^2 = 12.57[/tex]

So, the area of shaded region = Area of the biggest circle - (area of small two circles)

[tex]= 78.54 - (28.27 + 12.57)\\37.7 (approx.)[/tex]

Plz help


what are the slope and y-intercept of the linear function that is represented by the graph
A- the slope is -4/3 and the y-intercept is 3
B- the slope is -4/3 and the y-intercept is 4
C- the slope is -3/4 and the y-intercept is 3
D- the slope is -3/4and the y-intercept is 4

plz help this is a timed test​

Answers

Answer:

The slope is -3/4 because it rises goes down 3 and runs 4. the Y-intercept or where the line meets the y line is 3

Step-by-step explanation:

Can someone help with numbers 1 and 2 for both of them tell me the answer and how you get it

Answers

Answer:

Here a = 20,, b= 8

Step-by-step explanation:

Using Pythagoras theorem,

a^2 + 15^2 = 25^2 ,, b^2 + 6^2 =10^2=100

Answer:

a = 20, b = 8

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

(1)

a² + 15² = 25²

a² + 225 = 625 ( subtract 225 from both sides )

a² = 400 ( take the square root of both sides )

a = [tex]\sqrt{400}[/tex] = 20

(2)

b² + 6² = 10²

b² + 36 = 100 ( subtract 36 from both sides )

b² = 64 ( take the square root of both sides )

b = [tex]\sqrt{64}[/tex] = 8

Laura borrowed $9,000 at 4% for 2 years. what was the total interest?

Answers

Answer:

$720

Step-by-step explanation:

I = Prt

I = (9000)(0.04)(2)

I = 720

You know the length of the garden is 12 feet. You also know that the area of the garden is 60 ft2. Write and solve an equation to determine what is the width of the garden?

Answers

Answer:

Width is 5

Step-by-step explanation:

Set up an equation

12x=60

divided both sides by 12

answer is 5

The width is 5

to check your answer multiply it by the length

12*5=60

Check Check

Answer:

60÷12=5 so the width is 5 if the length is 12.

A sandbox in the shape of a trapezoid is show below. If a cover is to be made for the sandbox, what if the minimum amount of fabric needed?

Answers

The amount of fabric needed is 36

The minimum amount of fabric needed for a sandbox is,

⇒ 72 feet²

We have to given that;

A sandbox in the shape of a trapezoid is show below.

And, a cover is to be made for the sandbox.

Hence,

The minimum amount of fabric needed for a sandbox is,

⇒ Area of fabric = 9 × 7 + (1/2 × 9 × 2)

                         = 63 + 9

                         = 72 feet²

Thus, The minimum amount of fabric needed for a sandbox is,

⇒ 72 feet²

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Through is upholstering a rectangular ottoman that measures 21 cm x 18 cm x 15 cm. What will be the total square centimeters of fabric that Sue must use to cover all faces of the Ottoman

Answers

Answer:

Step-by-step explanation:

Through is upholstering a rectangular ottoman that measures 21 cm x 18 cm x 15 cm. What will be the total square centimeters of fabric that Sue must use to cover all faces of the Ottoman

Translate into an equation 53 is the sum of 20 and Rita’s savings

Answers

Step-by-step explanation:

I don't know the answer to that.

Answer:

53 minus 20 equal 33

Step-by-step explanation:

How many males represented in the Venn diagram below have brown hair or brown eyes?

A diagram contains a rectangle labeled 100 males. The rectangle contains two overlapping ovals. The left oval is labeled brown hair 34, and the right oval is labeled brown eyes 22. The overlapping region is labeled 18. Both ovals are shaded.

74


22


56


34

Answers

Answer:

I got this answer right its 56

Step-by-step explanation:

I got this question right

Interpreting the Venn diagram given, the number of males with brown eyes or brown hair can be deduced to be 74

Number with brown hairs = 34 Number with brown eyes = 22Number with both brown hairs and eyes = 18

Number with brown eyes or brown hairs :

Brown eyes + Brown hairs + Both brown hairs and brown eyes

(34 + 22 + 18) = 74

Therefore, 74 males have brown eyes or brown hairs

Learn more : https://brainly.com/question/17225268

Help please 10 points

Answers

Answer:

200

Step-by-step explanation:

basically, all you have to do is plug in 30 for n. You would get -3 + 7(30-1), and then you would get -3 + 7 x 29, and then you would get -3 + 203, and the final answer would be 200

The answer is 200!!!

Help me pls
(if here for points go away I will report)

If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is f(x) = 3(4)x + 45. How does this graph compare with the original graph of Amber's photo share?

Answers

Answer:

We know that Amber decided to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, and after this, the function representing the photo shares is:

f(x) = 3*(4)^x + 45

We do not know the initial function, but with the given information we can assume that the original equation is:

g(x) = 3*(4)^x

Then the new function is:

f(x) = g(x) + 45.

This is a vertical translation, remember that for a function h(x), a vertical translation of N units is written as:

k(x) = h(x) + N

if N is positive, we have a translation of N units up

if N is negative, we have a translation of N units down.

in this case we have;

f(x) = g(x) + 45

This means that f(x) is a vertical translation of 45 units of g(x), then:

the graph of the new function is 45 units above the original function.

Which ratio is smaller, 32 : 24 or 30 : 22?​

Answers

Answer:

32 : 24 is smaller

Step-by-step explanation:

32 : 24 = 32/56, reduced is 4/7

30 : 22 = 30/52, reduced is 15/26

a common denominator is 182:

4/7 = 104/182

15/26 = 105/182

32:24 -> 30:22

You need to get one number from each ratio to be equal

I’m gonna get 32 and 30 to equal

*first divide both ratios by 2(don’t have to do this just makes the no.’s smaller)
32:24
16:12

30:22
15:11

Multiply 16:12 by 15
And multiply 15:11 by 16

32:24 -> 16:12 -> 240:180
30:22 -> 15:11 -> 240:176

176<180
Therefore ratio 30:22 is smaller

what is the formula for area

Answers

area of rectangle = length×breadth

area of square = side×side

HELPPPPPPPP TQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ

Answers

Answer:

Area = 120

Step-by-step explanation:

Triangle formula:

[tex]\frac{1}{2}[/tex](b x h)

Given:

[tex]\frac{1}{2}[/tex](10 x 24)

Multiply 10 and 24 to get 240.

10 x 24 = 240

Divide 240 and 2 to get 120.

240 ÷ 2 = 120

So answer is 120.

There was no actually pyramid for these questions it tells you the measurements in the problem though. please help me

Answers

V=448 in^3
l=8 in
w=12
h=?
V=l•w•h/3
448=8•12•h/3 multiply both sides by 3
3•448=96•h
1344=96•h
h=1344/96
h=14 in


V=l•w•h/3
h=4in
l=3in
w=2.5 in
V=?
V=4•3•2.5/3
V=30/3
V=10 in^3

Last week, Russell bought 8 pizzas and 10 cakes for a total of $160.
Today, Russell bought 26 pizzas and 8 cakes for a total of $226.
Assuming neither item has changed in price, what is the cost of a pizza in dollars?

Answers

Answer:

$5

Step-by-step explanation:

Create a system of equations where p is the cost of a pizza and c is the cost of a cake

8p + 10c = 160

26p + 8c = 226

Solve by elimination by multiplying the top equation by -4, and the bottom equation by 5

-32p - 40c = -640

130p + 40c = 1130

Add these together:

98p = 490

p = 5

So, the cost of a pizza is $5

There are 48 students in the Kennedy Middle School student council. The number of 8th graders is 12 fewer than three times the number of 7th graders.

Answers

3x-12 I hope this help

Which of these factored expressions are equivalent to 15x+45? Select all that apply

A-3(5x+15)
B-5(3x+9)
C-15(x+3)
D-15(x+45)

Answers

Answer:

A, B, C

Step-by-step explanation:

15x+45

3 (5x + 15)

5(3x +9)

15(x + 3)

Which expression is equivalent to

Answers

Answer:

B

Step-by-step explanation:

(xy^-6)^2

A. xy^-36
B. xy^36
C. x^2y^-12​

Answers

Answer:

Step-by-step explanation:       (9=4-38-838,256=2-60^7

Hopes this helps:

Answer: C. X^2y^ -12

How I know I use this called Cymath

Jake has a bag of 50 beads, some of which are blue and the remaining are green. Jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag. Jake has already recorded 16 blue and 4 green beads. Based on these results, what is most likely the number of blue beads in the bag?

a.10

b.20

c.30

d.40

Answers

Answer:

d

Step-by-step explanation:

The temperature at 5:30 A.M. was recorded as 7 degrees below zero on the Fahrenheit scale. Write the temperature using a signed number​

Answers

Answer:

mhhm yea this is very questioned questioned

Step-by-step explanation:

yea mhm

Please help due today

Find the slope of the line that passes through each pair of points (0,1),(2,5)

Answers

Answer:

2

Step-by-step explanation:

y2-y1 = 5-1 =4

x2-x1= 2-0 =2

4/2=2

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1} \\ = \frac{5 - 1}{2 - 0} \\ = \frac{4}{2} \\ = 2[/tex]

#CMIIW

Can someone help me please

Answers

Answer:

13.7

Step-by-step explanation:

15^2-6^2=189

The square root of 189 is 13.74 blah blah blah

Answer:

13.7

Step-by-step explanation:

a²+b²=c²

a²+6²=15²

a²+36=225

a²=189

a≈13.7

HELP ILL MARK AS BRAINLIEST what’s the volume?

Answers

Answer:

I think 324. Please tell me if wrong. I will try again.

Step-by-step explanation:

9*12*6=648

648/2=324

Need help answer it in the bottom

Answers

Answer:

it depend

Step-by-step explanation:

i can edit this answer but-

do they mean that both objects together costs that much or does that mean that pens and pencils cost the same?

What is Obama's last name?

Answers

Answer:

OBAMA

Step-by-step explanation:

Answer:

obama

Step-by-step explanation:

how many times larger is 60 million than 50 million

Answers

Answer is 1/6
This is because 60/50 equals 6/5 which means it’s only 1/6 larger

need help with simple question​

Answers

Answer:

I think it is 10

Step-by-step explanation:

I said I think it might be 9

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