Suppose that you earned a​ bachelor's degree and now​ you're teaching high school. The school district offers teachers the opportunity to take a year off to earn a​ master's degreee. To achieve this​ goal, you deposit $ 5000 at the end of each year in an annuity that pays 6.5 % compounded annually.

a. After 5 ​years, you will have approximately= ​$

​(Do not round until the final answer. Then round to the nearest dollar as​ needed.)


b. The interest is approximately= ​$


​(Use the answer from part a to find this​ answer.)

Answers

Answer 1

Answer: a. After 5 ​years, you will have approximately= $ 6,850.43 .

b. The interest is approximately =$ 1850.43

Step-by-step explanation:

Given: Principal amount (P) =  $5000

Rate of interest (r)= 6.5%  = 0.065

n= 1  (compounded annually)

a) Time (t) = 5 years

Formula for accumulated amount  :

[tex]A=P(1+\dfrac rn)^{nt}[/tex]

Then,

[tex]A=5000(1+0.065)^5\\\\=5000(1.065)^5\\\\=5000(1.37008666342)\\\\\approx \$\ 6850.43[/tex]

Hence, After 5 ​years, you will have approximately $ 6,850.43 .

b) Compound interest = A-P

= $ 6,850.43 - $ 5,000

= $ 1850.43

Hence, The interest is approximately $ 1850.43.


Related Questions

if k = -3 what is the value of k + (2k - 10) ?

A. –19
B. –7
C. 1
D. –14

Answers

Answer:

A

Step-by-step explanation:

We have the expression [tex]k+(2k-10)[/tex]

We want to find the value when k is -3. So, substitute -3 for k and evaluate:

[tex]\Rightarrow (-3)+(2(-3)-10)[/tex]

Multiply:

[tex]=-3+(-6-10)[/tex]

Subtract:

[tex]=-3+(-16)[/tex]

Add:

[tex]=-19[/tex]

Therefore, our answer is A.

plz help i'm adding some extra points will report if u don't actually answer the question

Answers

Answer:

[tex]-4x^2-x-19=0[/tex]

Step-by-step explanation:

Standard Form:

[tex]ax^2+bx+c=0[/tex]

Solve:

[tex]-4x^2-19=x[/tex]

Subtract x from both sides, then make standard form:

[tex]-4x^2-x-19=0[/tex]

21 is what percentage of 30?

Answers

Answer:

.7

Step-by-step explanation:

30/.7 is 21

Answer:

.7

Step-by-step explanation:

21/30=.7

I need Your help plish​

Answers

Answer:

5

Step-by-step explanation:

Because there is zones

The formula to convert temperature measurements from degrees Fahrenheit (F) to degrees Celsius (C) is shown below.

C = 5/9(F - 32)

What is the Celsius equivalent of 90 degrees Fahrenheit? Round the answer to the nearest degree.

A. 16
B. 32
C. 64
D. 88

Answers

Letter B could possibly be the answer
I think it’s b
I could be wrong

To rent a jet ski the Delta Water company charges a flat fee of $25 plus $7.50 per hour. If you rented a jet ski for a day of fun and were charged $70, how many hours did you rent the jet ski for?

ASAP!!! BRAINLIEST!!
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!

Answers

You were using it for 6 hours because 70-25 is 45 and if you divide 7.50 and hour and 45 it’s 6

Answer:

6 hours

Step-by-step explanation:

$25 + $7.50x = 70

first subtract the flat fee of 25 from 70 to get $45.

then divide 45 by $7.50 to get the total hours spent

45 divided by 7.50 is 6

Hope this helps!

How do you understand
% ahh!!!

Answers

Answer:

what

Step-by-step explanation:

What is the slope intercept form of this line?

Answers

Answer:

the desired equation is y = (-3/4)x + 7

Step-by-step explanation:

If you start at (0, 7) and move along the line to (4, 4), you'll see that x increases by 4 (this is the 'run') and y decreases by 3 (this is the 'rise').  Thus, the slope of this line is m = rise/run = -3/4.

Let's use this m = -3/4 and the point (0, 7) to write the equation of this line.

(0, 7) is actually the y-intercept.

Thus, the desired equation is y = (-3/4)x + 7.

At the beginning of the season, a golf coach buys 118 sleeves of golf balls. Each sleeve costs $8.
Which best explains if it is better to overestimate or underestimate the amount of money the coach needs to buy the golf balls?
A. It is better to overestimate to make sure the coach has enough money to buy the golf balls.
B. It is better to overestimate so the coach can buy more golf balls than he originally plans.
C.It is better to underestimate so the coach knows exactly how much money he needs to buy the golf balls
D. It is better to underestimate to make sure the coach dose not spend more money than he wants to on golf balls

Answers

Answer:

The answer to this problem is A

Step-by-step explanation:

it is better to over estimiate so that he dosent need more money when he goes to buy the gold balls.

Im available on Mondays to Thursdays during 8:00 A.M to 4:00 P.M

--Priya

What trait do animals and protists have in common? A. both animals and protists are sometimes made up of many cells B. both animals and protists have cells with a nucleus C. neither animals nor protists can make their own food

(Pls answer I’ll mark brainliest

Answers

The answer would be : b

Protozoa are protists that resemble animals. Single-celled eukaryotes called protozoa have several characteristics in common with animals, both animals and protists have cells with a nucleus, hence option B is correct.

What is eukaryotes?

Eukaryota is a varied domain of creatures whose cells have a nucleus, and its members are referred to as eukaryotes. Eukaryotes include all animals, all plants, all fungi, and many unicellular creatures.

They, along with the two categories of prokaryotes, the bacteria and the archaea, make up a significant group of living organism.

A eukaryotic organism that isn't an animal, a plant, or a fungus is considered a protist. Protists do not constitute a natural group, or clade, despite the likelihood that they have a common ancestor with other eukaryotes.

Therefore, option B is correct.

Learn more about eukaryotes, here:

https://brainly.com/question/6663522

#SPJ2

Help, please
Giving you 39 points!!

Answers

Answer:

n = 10

Step-by-step explanation:

The triangles are equal by SSS theorem, therefore the 2 angles given with a variable must be equal.

Explique, de forma resumida, o significado dos números que expressam porcentagens nas orações a seguir. A) 10% dos alunos de uma escola não têm animal de estimação. B) 19% dos livros de uma biblioteca precisam ser catalogados. C) Segundo a Pesquisa Nacional por Amostra de Domicílio (Pnad), divulgada pelo Instituto Brasileiro de Geografia e estatística (IBGE), 51% da população brasileira é constituída por mulheres.

Answers

Answer:

Hola como esta xd lol what

5y + 2(11 - 4y) = 82 + y
Help Needed Asap

Answers

Answer:

y=−15

Hope this helps! Please mark Brainliest!

Answer:

y = -15

Step-by-step explanation:

5y + 2(11 - 4y) = 82 + y

open parenthesis

5y + 22 - 8y = 82 + y

-3y + 22 = 82 + y

add 3y to both sides of the equation

-3y + 22 + 3y = 82 + y + 3y

22 = 82 + 4y

subtract 82 from both sides of the equation

22 - 82 = 82 + 4y - 82

-60 = 4y

divide both sides by 4

-60/4 = 4y/4

-15 = y

Who know this for my other math these plz

Answers

Answer:

7. c

8. d

9. c

10. c

11. b

12. d

13. c

Answer:

7. C: 80

8. D: 100

9. C: 80

Step-by-step explanation:

each line equals 180

where H is at, has a 100 above it.

that equals one angle, which is 100. That line has 2 angles at equal 100 since they are one opposite sides of each other.

you subtract 180-100= 80. That's where you get ur 80 angle from. Hope this helps, I'm bad at explaining stuff

What is an equation of the line that passes through the points (8, 2) and (-4,5)? Put your answer in fully reduced form.​

Answers

Answer:

y = -1/4x + 4

Lena told her mother that the jeans that she bought were on sale for 10 percent off and she had saved $8.25 on them.

Percents
Total
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
100%
$8.25
$8.25
$8.25
$8.25
$8.25
$8.25
$8.25
$8.25
$8.25
$8.25


Lena’s mother wanted to know the price of the jeans before the discount to determine if Lena was shopping for jeans that were too expensive. What was the price of the jeans before the discount?
$41.25
$74.25
$82.50
$90.75

Answers

Answer:

The answer 80.25! Let me know if it is wrong!

Hope you do great!

Step-by-step explanation:

Answer:

82.25 but on the quiz it says 82.50

Step-by-step explanation:

Juan chooses 4 items for his main course, 1 drink, and 1 dessert in a restaurant. The total cost of the meal is $9.80. Each main course item costs $1.10 and the dessert costs 50¢ more than the drink.

Let d represent Juan's dessert and r represent his drink.

Select True or False for each statement

Answers

Answers:

A) TrueB) FalseC) FalseD) TrueE) True

===========================================

Explanation:

The two items given

"Juan choses 4 items for his main course""each main course item costs $1.10"

tells us that he spends 4*1.10 dollars on just the main course items. So that's why choice A is true.

-----------

From part A, we know that Juan spends 4*1.10 = 4.40 dollars on just the main course items. We also know the total cost of the meal is $9.80

This leaves 9.80 - 4.40 = 5.40 left over

Meaning that $5.40 is spent on dessert and drinks

The equation in part B is close, but the 4.40 should be 5.40 instead.

Choice B is false

-----------

"The dessert costs 50 cents more than the drink" means

r = d+0.50

Whatever the drink costs (d), we add on 50 cents or $0.50 to get the cost of the dessert (r). This is why choice C is false.

-----------

The system of equations we have so far is

[tex]\begin{cases}5.40 = d+r\\r = d+0.50\end{cases}[/tex]

Start with the first equation, plug in r = d+0.50, and solve for d

5.40 = d+r

5.40 = d+d+0.50

5.40 = 2d+0.50

2d+0.50 = 5.40

2d = 5.40-0.50

2d = 4.90

d = 4.90/2

d = 2.45

Each drink costs $2.45, so choice D is true because Juan only bought one drink.

-----------

Lets use this value of d to find r

r = d+0.50

r = 2.45+0.50

r = 2.95

Each dessert costs $2.95, making choice E true as well (since he only bought one dessert).

Which linear function represents the line given by the point-slope equation y + 7= -2/3 (x+6)

A) f(x) = -2/3x – 11

B) f(x) = -2/3x -1

C) f(x) = -2/3 + 3

D) f(x) = -2/3 + 13

Answers

[tex]y + 7 = - \frac{2}{3}(x + 6) \\ [/tex]

[tex]y + 7 = - \frac{2}{3}x - 4 \\ [/tex]

Subtract sides -7

[tex]y = - \frac{2}{3}x - 4 - 7 \\ [/tex]

Thus ;

[tex]y = f(x)= - \frac{2}{3}x - 11 \\ [/tex]

So the correct answer is (( A )) .

10000 rounded nearest 10

Answers

10000 is already a whole number, you can’t round it anymore

I don’t know if you meant scientific notation, which would be

10000 = 1 x 10^4

Simplify the following equations please:)
1. 2n - 4 + 6n
2. -15 + 9m
3. 19a - 7 - 3a + 12a
4. 6(x - 3) + ( 2x - 9)
5. (3x + 8) - 6 (2.5x - 3)

Answers

Answer:

1. n = 1/2

2. m = 5/3 or 1 2/3

3. a = 1/4

4. x = 27/8

5. x = 13/6

Step-by-step explanation:

I'm just going to explain step 5 as that is what you specifically needed help with.

First, simplify the second term of the equation:

-6(2.5x-3)

= -15x + 18

(this was done by multiplying -6*2.5x which is 15x and -6(-3) which is 18)

Now, add this simplified second term back to the first term:

3x + 8 - 15x + 18

(the parentheses are unnecessary now because it is all just addition and subtraction, so the order doesn't matter)

Simplify:

-12x + 26 = 0

= -12x = -26

= x = -26/-12

=   x = 13/6

(8r-5)+(-7r-8)

what is the answer

Answers

The answer it r - 3

nathan packs 25 boxes in 2 hours how many can he pack in 30 min shfit

Answers

Answer: 6

Step-by-step explanation:

30 minutes is a quarter of 2 hours, so if he can pack 25 boxes in 2 hours, he can pack a quarter of that in 30 minutes. A quarter of 25 is 6.25 cant pack half a box, it’s a whole box or nothing. So you round down to 6 boxes. 6 boxes is your answer.

What’s the equation of the line?

Answers

Answer:

where's the line?

There is no picture uploaded

Step-by-step explanation:

Which of the following could be scaled copies of rectangle A with measures 8 in by 12 in?.
A. 16 in by 28 in
B. 4 in by 6 in
C. 36 in by 48 in
D. 24 in by 40 in
E. 16 in by 9 in

Answers

Answer:

B: 4in by 6in

Step-by-step explanation:

4 is half of 8 and 6 is half of 12

Which is better tacos or cheeseburgers

Answers

Answer:

tacos bro :P

Step-by-step explanation:

Answer:

I like taco's better.. :D

Step-by-step explanation:

The number can be best described as a(n)

Answers

Answer:

Fraction

Step-by-step explanation:

The equation = ( + ) can be used to calculate the distance, , traveled by a body moving with a stv0atsuniform acceleration, , in time, , where is the initial velocity of the body. The steps to solve the equation atv0for are:v0Step 1: = + v0atStep 2: − = atv0Which properties are applied to obtain step 1 and step 2?multiplication property of equality and subtraction property of equality
(A) division property of equality and addition property of equality
(B) multiplication property of equality and addition property of equality.
(C) division property of equality and subtraction property of equality

Answers

RIGHT ! Somebody help

Given m|| n, find the value of x.

Answers

Answer:

125

Step-by-step explanation:

A straight angle os 180 degrees if you subtract 180 to 55 you get 125 degrees its basic math really.

Blueberries cost $4.00 per pound.

1. How many pounds of blueberries can you buy for $1.00?

Answers

Answer:

1/4 of a pound

Step-by-step explanation:

Because if 1 pound costs 4 dollars then you want to buy some blueberries for 1 dollar, you split the blueberries into fourths

is 800 cm greater than 8 cm

Answers

Answer:

100

Step-by-step explanation:

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