future value of 10% savings from earnings of 36000 earns 6.25% annual interest compounded quarterly for 15 years​

Answers

Answer 1

without further ado

10% of 36000 is simply 3600, we chopped a "0" off of it hmmm, ok so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3600\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &15 \end{cases} \\\\\\ A=3600\left(1+\frac{0.0625}{4}\right)^{4\cdot 15}\implies A=3600(1.015625)^{60}\implies A\approx 9126.53[/tex]


Related Questions

use the equation f(x)=0.003x²-0.083x+2.514. Predict the value for x+20 years.
When x=20 years,f(x)=?

Answers

Answer:

2.054

Step-by-step explanation:

put the value of x in f(x)

how many right angles in this shape the shape is a trapezoid

Answers

Answer:

Two

Step-by-step explanation:

Since two of the angles are 90 degrees, they are right angles.

Answer: There are 2 right anges in a trapizoid

Step-by-step explanation:

1 is on the bottom lieft side 2nd one is on the other is on the bottom right side

Question 13 of 14

Phillipa rode her bicycle every day over the weekend. Phillipa rode [(13.5 + 8.5) ÷ 2]
miles on Friday, [18 − (2 × 4)] miles on Saturday and [20 − (5 − 3)]

miles on Sunday.

On which day did Phillipa ride her bicycle the most?

She rode her bicycle the most on .

Answers

Answer:

Sunday

Step-by-step explanation:

Friday  

[(13.5 + 8.5) ÷ 2] = [(22) ÷ 2] = 22 ÷ 2 = 11 miles

Saturday

[18 − (2 × 4)] = 18 - (8) = 18 - 8 =  10 miles

Sunday

[20 − (5 − 3)] = 20 - (2) = 18 miles

18 > 11 > 10

Then She rode her bicycle the most on Sunday

Try:

Rereading your lessons, getting help from your tutor or others.

Answer:

Sundays

Hope this helps and don't forget to hit the thanks button! <3

Written by: RiBu

THE ANSWER IS SUNDAYS.

Using the formula S = P(1 + r)t, where P is the original principal, r is the annual interest rate, and t is the number of years, what is the investment savings, S, if P = $14,500.00, r = 7.5%, and t = 5 years?

Answers

[tex]~~~~~~ \textit{Savings Earned Amount} \\\\ S=P\left(1+r\right)^{t} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$14500\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years\dotfill &5 \end{cases} \\\\\\ S=14500\left(1+0.075\right)^{5}\implies S=14500(1.075)^5\implies A\approx 20816.63[/tex]

Find the measure of each angle.
x - 7
X
x + 10

Answers

Answer:

x - 7: 52

x: 59

x + 10: 69

Step-by-step explanation:

Since we have a straight line, we know that the angles must add up to 180. We can set up an equation to solve:

x - 7 + x + x + 10 = 180

Combine like terms:

3x + 3 = 180

Subtract 3 on both sides:

3x = 177

Divide by 3 on both sides:

x = 59

Now plug in 59 for each angle.

The "x - 7" angle should equal 52, the "x" angle should equal 59, and the "x + 10" angle should equal 69.

Answer:

52°, 59°, and 69°

Step-by-step explanation:

Each of these angles add up to make a straight line, or = 180°

(x - 7) + x + (x + 10) = 180

3x + 3 = 180

3x = 177

x = 59

Angle A = 52°

Angle B = 59°

Angle C = 69°

52 + 59 + 69 = 180!

A chef used one-half of a bag of potatoes for a meal. If the potatoes fed 2 people, what
fraction of the bag did each person get?


(Help plss as soon as you can)

Answers

Answer: 1/4

Step-by-step explanation: each person had half of the half of bag.

Find the area of the rhombus.

Answers

Step-by-step explanation:

as the graphic shows, we are dealing with a special rhombus : a square.

this is proven by the fact that the angle on one side of the diagonal at the corner is 45°. so, the other side must be 45° too, and so we have 90° angles at the corners.

what is not clear to me is : what is 6 cm long ? a half-diameter, or the whole diameter ?

I assume the half-diameter.

what the graphic is trying to suggest is that we have 4 little right-angled triangles that are also isoceles triangles (their legs are equally long).

every leg is 6 cm long (based on my assumption above).

because they are right-angled, the area of each of these little triangles is leg×leg/2

6×6/2 = 18 cm²

we have 4 triangles, so the total area is

4×18 = 72 cm²

if 6 cm stands for the whole diagonal after all, then the only change is the length of the legs, which would be then 6/2 = 3 cm.

then we would have

3×3/2 = 4.5 cm² for a single triangle

and

4×4.5 = 18 cm² for the whole area.

Vani bought snacks for her team's practice. She bought a bag of popcorn for $3.39
and a 18-pack of juice bottles. The total cost before tax was $26.61. Write and solve
an equation which can be used to determine x, how much each bottle of juice costs.

Equation:
Answer: x=

Answers

Answer:

x= (26.61-3.39)/18

Step-by-step explanation:

I NEED HELP ASAP!!!!!!!!
QUESTION BELOW

Answers

Answer:

Step-by-step explanation:

Someone help. I don’t understand the question.

Answers

Answer:

9.9

[tex] \: [/tex]

Step-by-step explanation:

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]

Here,

The base is 13.2

The perpendicular is a

The hypotenuse is 16.5

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (13.2) {}^{2} + (a {)}^{2} = (16.5) {}^{2} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 174.24 + (a {)}^{2} = 272.25 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 272.25 -174.24}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 98.01}}} \\ \\ \\ {\longrightarrow \pmb{\sf {\qquad a = \sqrt{98.01}}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad a = 9.9}}} \\ \\[/tex]

Therefore,

The length of the missing side of the right triangle is 9.9

help plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

G. Between 6 and 7

Step-by-step explanation:

As 41 lies between the square of 6 and 7

Find the area of a green shaded region in the figur

Answers

Answer:

The answer is 156cm^2

Step-by-step explanation:

Solution:

The shape given is a trapezium.

The area of the green region = Area of the outer trapezium - Area of the inner trapezium.

[tex]Area\: of\:a\:trapezium\:=\frac{1}{2}\:(a+b)h[/tex]

[tex]Where\: a,b\:are\:the\:bases,\:h=height[/tex]

[tex]For,\:outer\:trapezium,[/tex]

[tex]a=10cm,\:b=14cm,h=16cm[/tex]

[tex]Area\:of\:the\:outer\:trapezium=\frac{1}{2}\:(10+14)16[/tex]

[tex]=\frac{1}{2}(24)(16)=192cm^{2}[/tex]

[tex]For\:inner\:trapezium,[/tex]

[tex]a=3cm,b=6cm,h=8cm[/tex]

[tex]Area\:of\:the\:inner\:trapezium=\frac{1}{2}(3+6)8[/tex]

[tex]=\frac{1}{2}(9)(8)=36cm^{2}[/tex]

[tex]193cm^{2}-36cm^{2}[/tex]

[tex]=156cm^{2}[/tex]

The answer is 156cm^2



HELLO PLS HELP ME THIS IS DUE TMR AND I DONT UNDERSTAND THE ANSWER

Answers

Answer:

6x+7=13

2/3x+8= 8.66

Step-by-step explanation:

calculator and rule with a compass

circle the possible values that satisfy each inequality!

Answers

Answer:

25

Step-by-step explanation:

5 > x/5

5 × 5 > (x/5) × 5

25 > x

If the labor force is 740 workers, but 27
are unemployed, what is the
unemployment percentage?
A. .36%
B. 3.6%
C. 36%
D. 360%

Answers

Answer:

3.6% or B quack quack quack quack

The unemployment percentage is 3.6 percent. Therefore, option B is the correct answer.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, the labor force is 740 workers, but 27 are unemployed.

Here, percentage = 27/740 ×100

= 2700/740

= 3.6%

Therefore, option B is the correct answer.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

The sum of two numbers is 21. Their product is 108. What are the two numbers?

Answers

Answer:

9 and 21

Step-by-step explanation:

First we can write the factors of 108:

1,108

2,54

3,36

4,27

6,18

9,12        - these 2 numbers add up to 21 so these 2 numbers is our answer.

Answer:

12 and 9

First, divide 108 by a relatively low number, 12

[tex]108 / 12 = 9[/tex]

Now that we have 9, multiply 9 by 12

[tex]9 * 12 = 108[/tex]

This is one method that proves the statement true. I call the method mirroring. This method consists of finding the lowest numbers a large number is divisible by, then flipping the problem to a multiplication problem.

________________________________________________________

What have we learned?

We learned alternative ways to find the sum and product of a number using a similar method.

Questions related to the topic? Ask me in the comments box.

Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year.

Answers

The total balance in Raul's account after 40 years when he retires is $65,714.90.

What is the total balance?

The formula that can be used to determine the balance of the accout is: monthly amount saved x annuity factor.

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = interest rate = 1.5/12 n = number of periods = 12 x 40 = 480

$100 x [(1.00125^480) - 1 ] / 0.00125 = $65,714.90

Here is the complete question:

Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year. What is the balance in the account after 40 years?

To learn more about annuites, please check: https://brainly.com/question/24108530

Two years ago my dog, Bau, was five times older than mu cat, Miho. 1 year from now Bau will only be twice as old as Miho. How old is Bau now?

Answers

Hope it helps best of luckkkkk

John is going to plant spinach in a rectangular area of his garden. The rectangle is 11 feet long and 7 feet wide. What is the area of this rectangle?
77 sq ft
75 sq ft
18 ft
36 ft

Answers

Answer:

The area of rectangle is 77 sq ft.

Answer: 77 sq ft

Step-by-step explanation:

Please help me on Mathematics

✨Nonsense answer Report✨
✨Rude answer Report ✨

✨ Correct answer Brainlest ✨
✨ Complete answer Brainlest ✨

Answers

Answer:

1. 20 km/hr (60km / 3h)

2. 70 m/hr (170m / 2h)

3. 6.5 hr (260cm / 40km)

4. 4.5 s (72cm / 16cm)

5. 184 km (46km * 4h)

Step-by-step explanation:

We'll use d = distance, t = time, s = speed.

Speed over time can be found by dividing distance by time

s = d / t

We can take this formula and manipulate it to find either distance or time if we know two of the values. Keeping in mind division and multiplication cancel each other.

If we wanted to find d for instance we can multiply both sides by t to get

s * t = d

For time we can divide both sides of the above formula by s to get

t = d / s

Answer:

1. 20 km/h

2. 70 m/h

3. 6.5 h

4. 4.5 s

5. 184 km

Step-by-step explanation:

For first two questions, you can use the following formula:

[tex]\displaystyle \large{s = \frac{d}{t}}[/tex]

I denote ‘s’ be speed, ‘d’ be distance and ‘t’ be time. Some books may use ‘v’ for speed instead of ‘s’ but I use ‘s’ variable instead so it makes the equation easier to memorize.

Therefore, speed = distance/time

( 1 ) The first question is given both distance be 60 km and time be 3 hours. Therefore:

[tex]\displaystyle \large{s=\frac{60}{3}}\\\displaystyle \large{s=20 \ \ \sf{km / h}}[/tex]

So for the first question, the speed is 20 km/h

( 2 ) The second is given both distance be 140 m and time be 2 hours. Therefore:

[tex]\displaystyle \large{s=\frac{140}{2}}\\\displaystyle \large{s=70 \ \ \sf{m / h}}[/tex]

Therefore, speed is 70 m/h

For the third and four questions, we will be finding time. From the speed formula:

[tex]\displaystyle \large{s=\frac{d}{t}}[/tex]

Multiply both sides by t.

[tex]\displaystyle \large{st=d}[/tex]

Divide both sides by s.

[tex]\displaystyle \large{t=\frac{d}{s}}[/tex]

Therefore, time = distance/speed

( 3 ) The question is given speed be 40 km/h and distance be 260 km. Therefore:

[tex]\displaystyle \large{t=\frac{260}{40}}\\\displaystyle \large{t=\frac{13}{2} \ \ \sf{h}}\\\displaystyle \large{t = 6\frac{1}{2} \ \ \sf{h}}\\\displaystyle \large{t= 6.5 \ \ \sf{h}}[/tex]

Therefore, time is 6.5 h

( 4 ) The question is given speed be 16 cm/s and distance be 72 cm. Therefore:

[tex]\displaystyle \large{t=\frac{72}{16}}\\\displaystyle \large{t=\frac{9}{2} \ \ \sf{s}}\\\displaystyle \large{t=4\frac{1}{2} \ \ \sf{s}}\\\displaystyle \large{t=4.5 \ \ \sf{s}}[/tex]

Therefore, time is 4.5 s

For the last question, we have to find distance. From the speed formula:

[tex]\displaystyle \large{s=\frac{d}{t}}[/tex]

Multiply both sides by t.

[tex]\displaystyle \large{st=d}\\\displaystyle \large{d=st}[/tex]

Therefore, distance = speed * time

( 5 ) The question is given time be 4 hours and speed be 46 km/h. Therefore:

[tex]\displaystyle \large{d=46 \cdot 4}\\\displaystyle \large{ d=184 \ \ \sf{km}}[/tex]

Therefore, distance is 184 km.

11. Joe lists his expenses to make a budget. Which of
these is a variable expense?
A. He pays about $400 in rent.
B. He spends $95 a month eating at
restaurants.
C. He pays $250 each month for his car
payment.
D. His cable bill is $40 each month

Answers

Answer:

B

Step-by-step explanation:

Because of inflation, prices at restaurants would go up.

A certain number added to its square is equal to 90. What is/are the number(s) that work?


Answers

Answer:

9,-10

Step-by-step explanation:

Let u be a number.

[tex]u + {u}^{2} = 90[/tex]

[tex]u {}^{2} + u - 90 = 0[/tex]

[tex](u + 10)(u - 9) = 0[/tex]

[tex]u = - 10[/tex]

or

[tex]u = 9[/tex]

9, -10

9,-10 the guy above got what I got

On Tuesday, recess began at 11:43. The students got back to their class at 12:04. How long were they at
recess?

Answers

Answer:

They were out side for 21 minutes

Step-by-step explanation:

you just add 11:43 and add 21 minutes  to it and you get 12:04

help please. I don't know it​

Answers

You start it by multiplying 6 times 4.2 which gives you 25.2 then multiply the value 25.2 four times to get total surface area which is 100.8

Edward counted out 20 cards for a card game. Then he split those cards evenly among the 4 players.

The letter c stands for the number of cards for each player. Which equation can you use to find c?
option
20-4=C
20/4=C

Answers

Answer:

20/4=c

Step-by-step explanation:

You can tell that that is the right answer, because 20-4=c means that each person would get 16 cards, and if you multiply that by 4(the amount of people that are playing) It's way more than 20 cards, so you know that 20/4=c is the right answer. Hope that helped;)

The perimeter of the surface of a workbook is 46 inches. It is 13 inches tall. How wide is it?

Answers

Answer:188

Step-by-step explanation:

u have to add all the side which is 46+46+13+13=188

FIRST GET BRAINIEST PERIODTT TYSMMSMSMMSM

Answers

4+4+6+6=12+8=20

hope this helps

height: 6-2=4 units

length: 9-3=6 units

4×6=24

-> 24 units

CAN SOMEBODY SOLVE THE EQUATION

Answers

I think it’ll be 1.8(14) (because the number of years from 1998) so 1.8(14) = 25.2

25.2 - 5.7 = 19.5

They will spend 19.5 billion dollars

Pls help asap, have a great day

find, w: x: y: z:

Answers

Answer:

See below ↓

Step-by-step explanation:

Finding w and x [both are equal]

Take the cos function of one of the 45° angles, which is the ratio of the adjacent side to the hypotenusecos(45°) = [tex]\frac{1}{\sqrt{2} } = \frac{w}{6}[/tex]⇒ w = [tex]\frac{6}{\sqrt{2} } = \frac{6}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} } = \frac{6\sqrt{2} }{2}[/tex]⇒ w = 3√2 and x = 3√2

Finding y

Take the cos ratio of the 60° angle to find ycos(60°) = [tex]\frac{1}{2} = \frac{y}{x} = \frac{y}{3\sqrt{2} }[/tex]⇒ y = [tex]\frac{3\sqrt{2} }{2}[/tex]

Finding z

Take the sin ratio of 60° angle of the triangle, which is the ratio of the opposite side to the hypotenusesin(60°) = [tex]\frac{\sqrt{3} }{2}= \frac{z}{x} = \frac{z}{3\sqrt{2} }[/tex]⇒ z = [tex]\frac{3\sqrt{6} }{2}[/tex]


A bag of balloons contains 4 red balloons, 11 green balloons, 15 yellow balloons, and 8 orange balloons. What is the probability that
a randomly selected balloon would be green or orange?

Answers

Answer:

There is motlre chance that a green Ballon will be selected because green Ballon are more than orange

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

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