Hi, I need help with this question. Pls, explain your answer.
Eric deposits $500 in a bank account that pays 3.5% interest, compounded yearly. Which type of function should he use to determine how much money he will have in the account at the end of 10 years?
(1) linear (3) absolute value
(2) quadratic (4) exponential

Answers

Answer 1

Answer:

(4) exponential

Step-by-step explanation:

According to given, the function is:

A = P(1 + r)ⁿ

or

A = 500(1 + 3.5/100)¹⁰ = 500*1.035¹⁰

This is an exponential relationship

Correct choice is (4)

Answer 2

To determine the money Eric will have in his bank account, he needs to use an exponential function.

What is a compound interest?

This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.

Here, to find the amount of money after 10 years, we need to use the formula S = P(1 + r)ⁿ.

Here, S = sum of money after the total period of investment.

P = Principle = $500, r = rate of interest = 3.5%, n = time period = 10 years.

Now, S = $500(1 + 3.5/100)¹⁰ = $500(1 + 0.035)¹⁰ = $500(1.035)¹⁰ = $705.3

Hence, after 10 years, Eric will have $705.3 in his bank account.

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Related Questions

Harper is knitting a scarf for her cousin's birthday. She plans to knit every night, making the scarf 5 centimeters longer each night. Write an equation that shows the relationship between the number of nights Harper spends knitting, x, and the length of the scarf in centimeters, y.

Answers

The equation that shows the relationship between x and y is:

y = 5x

A linear equation is in the form:

y = mx + b

where m is the rate of change and b is the initial value of y, y, x are variables.

Let x represent the number of nights knitting and y represent the length of the scarf.

The equation that shows the relationship between x and y is:

y = 5x

Find out more at: https://brainly.com/question/13911928

y=x^(2)-8x+15 write in intercept form

Answers

i believe it’s y=(x-3)(x-5)

I have an exercise that asks me: answer true or false, are the Italian regions washed by the sea a whole?

Answers

Answer:

Select an answer for each item. If you do not know the answer, you should make an educated guess. At the bottom of the test, you will be given your results. Questions 1-5. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. (1) Seaweed-based fuel could one day power ...

Step-by-step explanation:

Answer:

Is false because the Italian regions are partly bathed by the sea

Step-by-step explanation:

the container that holds the water for the football team is 1/3 full. after pouring in 13 gallons of water, it is 5/6 full. how many gallons can the container hold?

Answers

The container can hold 26 gallons.


1/3 is equal to 2/6
After 13 gallons, it went up to 5/3, meaning it went up by 3/6.
Since you wanna find the total gallons, 6/6, you just multiply 13 by 2 since 3/6 is half the container.

13 x 2 = 26

Remainder Theorem: When f(x) = ax³ + 7x² - 7x - 3 is divided by x - 1, the remainder is 7. Find the value of the constant (a)

I NEED AN ANSWER AS FAST AS POSSIBLE!!​

Answers

The value of A would be 10

Solve for the unknown side of each right triangle

Answers

Answer:

x = 4.4 cm

Step-by-step explanation:

Since this is a right triangle, the Pythagorean Theorem applies:  a^2 + b^2 = c^2, where a and b are leg lengths and c is the length of the hypotenuse.

Thus, (5.3 m)^2 + x^2 = (6.9 m)^2, or, solving for x^2:

x^2 = (6.9 m)^2 - (5.3 m)^2, or

x^2 = 47.61 - 28.09 = 19.52

Then the length, x, of the unknown side is x = +√19.52 m, or

x = 4.4 cm

The Batpod and The Falcon Cycle are traveling down the
highway. That Batpod can travel at a speed of 4 miles
per minute; while the Falcon Cycle can double that at a
speed of 8 miles per minute. If Falcon gives Batman a 6
minute head start. How long will Batman have traveled
before Falcon catches him?


I need help so I can turn in my Packet?!?!?

Answers

24 miles. Why? If the bat pod goes 4 miles per minutes than in 6 minutes the bat pod would have gone 24 miles before the falcon catches him

find the percentage change of 20 to 25​

Answers

Answer:

Percentage change should be 25%

Step-by-step explanation:

25 - 20

---------- x 100%

20

5

---- x 100% = 25% increase

20

25 percent increase

please solve for x. possible answers A. 3 B. 10 C. 28

Answers

Answer:

The answer is 65.

Maybe there is another option that gives 65?

Step-by-step explanation:

a²+b²=c²

a=33

b=56

33²+56²=c²

1089+3136=c²

4225=c²

√4225 = c

65=c

A high school drama club is selling tickets for the spring production. One day the president sold 12 adult tickets and 5 child tickets for a total of $169. The next day the president sold 22 adult tickets and 10 child tickets for a total of $314. Let a represent the cost of one adult ticket. Let c represent the cost of one child ticket. Which system of equations will solve for a and c? 12 a 5 c = 314. 22 a 10 c = 169. 12 a 5 c = 169. 22 a 10 c = 314. 5 a 12 c = 314. 22 a 10 c = 169. 22 a 5 c = 169. 12 a 10 c = 314.

Answers

Answer:

12a + 5c = 169

22a + 10c = 314

Step-by-step explanation:

if a = adult tickets and c = children's tickets

12 adult tickets and 5 children's tickets costs 169 dollars

12a + 5c = 169

Also, 22 adult tickets and 10 children's tickets cost 314 dollars

22a + 10c = 314

Answer:

Its D :)

Step-by-step explanation:

Have a good day.

8.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

y = (3x + 4)(−2x − 3)

A. linear function; linear term: −17x; constant term: −12

B. quadratic function; quadratic term: 12x^2; linear term: 18x; constant term: −12

C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12

D. linear function; linear term: −6x^2; constant term: −12

Answers

Answer:

C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12

Step-by-step explanation:

Answer:

quadratic function; quadratic term: −6x² ; linear term: −17x; constant term: −12

Step-by-step explanation:

The given function is

We need to expand the RHS to get:

We can see that the degree of this polynomial function is 2 and hence it is a quadratic function.

The quadratic term is -6x²

The linear term is -17x

The constant term is -12

Half-Price books is having a "sidewalk sale" this weekend. The total cost varies directly with
the number of books purchased. Mrs. Cowger bought 17 books for a total cost of $42.50 If
Mrs. Kesler spends $57.50, how many books did she purchase?
O 6 books
O 12 books
O 40 books
0 23 books

Answers

23 books
Hope this helps
23 Books is the answer

HELPP ME OOOO ???


Jendbshshshsbbsbdbsnsmznbs slaizgnsmshxfs sucks skzgxs smudge nzjzdcd

Answers

Answer:

5 = k2

k = 2.5

happy learning

helpppp
1) calculate the values of the missing sides And angles in the following triangles And rectangles​

Answers

Answer:

For the pink triangle, [tex]\alpha +\beta = 90[/tex] degrees

For the yellow triangle, [tex]\beta =35[/tex] degrees

Step-by-step explanation:

You need side lengths to find the rest of the angle measures for the pink triangle and I'm not sure how to find side lengths with coordinates, I'm used to an integer with a unit of measure, maybe someone else could help with that.

an online music store sells 15 songs for $12. Another online music store sells 10 songs for $9. Which online store has the lower cost per song?

Answers

Answer:

The second store (10 songs for $9)

Step-by-step explanation:

15 songs/$12 = $1.25 per song

10 songs/$9 = $1.11 per song

Answer:

second

Step-by-step explanation:

second bc if you cross multiply 135>120

plz help will mark as brainliest​

Answers

Answer:

B po? I'm not sure ehh hehehe

Answer:

18

Step-by-step explanation:

2y+3y+5y=180

10y/10=180/10

Y=18

We have a right triangle $\triangle ABC$ where the legs $AB$ and $BC$ have lengths $6$ and $3\sqrt{3},$ respectively. Medians $AM$ and $CN$ meet at point $P.$ What is the length of $CP$

Answers

By using Pythagoras theorem and distance formula the length of CP is obtained as 3.43 units.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

To find the length of CP, first find the coordinates of point P, and then use the distance formula to calculate the length of CP.

Let A be at the origin (0, 0), and let B be on the positive x-axis at (6, 0). Then we can find the coordinates of C using the Pythagorean theorem -

AC² + BC² = AB²

AC² + (3√3)² = 6²

AC² = 9

AC = 3

So C is located at (3, 3√3). We can find the coordinates of M by taking the average of the coordinates of A and B, which gives -

M = ((0+6)/2, (0+0)/2) = (3, 0)

Similarly, find the coordinates of N by taking the average of the coordinates of B and C, which gives -

N = ((6+3)/2, (0+3√3)/2) = (4.5, 1.5√3)

Now find the equation of the line passing through M and C, which is the line containing median AM -

slope = (3√3 - 0)/(3 - 0) = √3

y - 0 = √3(x - 3)

y = √3x - 3√3

And find the equation of the line passing through N and A, which is the line containing median CN -

slope = (0 - 3√3)/(0 - 6) = √3/2

y - 0 = (√3/2)(x - 6)

y = (√3/2)x - 3√3

Now, find the intersection point of these two lines, which is point P -

√3x - 3√3 = (√3/2)x - 3√3

x = 6/3.5

x = 12/7

y = √3(12/7) - 3√3

y = 3√3/7

So P is located at (12/7, 3√3/7).

Now use the distance formula to find the length of CP:

CP² = (12/7 - 3)^2 + (3√3/7 - 3√3)²

CP² = (33/7)^2 + (6√3/7)^2

CP² = 1089/49 + 72/49

CP² = 1161/49

CP = √1161/7

Therefore, the length of CP is (approximately) 3.43.

To learn more about Pythagoras Theorem from the given link

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If a local tax rate is 4% and you are taxed on your $6000 purchase,
1)what is the tax?
2)What will final bill be?

Answers

Answer: Tax(240), Total cost(6240)

Step-by-step explanation:

6000 x .04 =240

240 +6000 = 6240

Please include an explanation as well. Thank You!

Answers

Solution:

[tex]A = \frac{B r_{1}r_{2}}{ C {x}^{2} } \\ = > A C {x}^{2} = B r_{1}r_{2} \\ = > r_{1} r_{2} = \frac{A C {x} ^{2} }{B} \\ = > r_{1} = \frac{A C {x} ^{2} }{B r_{2}} [/tex]

Answer:

[tex]r_{1} = \frac{A C {x} ^{2} }{B r_{2}} [/tex]

Hope it helps.

Do comment if you have any query.

Can you please help ASAP. It is very easy

Answers

Hello!

Let the number be x.

We multiply it by 5:

5x

Subtract 3:

5x-3

Hope it helps. Ask me if you have any query.

~An excited gal

[tex]MagicalNature[/tex] here to  help

YES! Great job! Explanation:

The degree measure of each exterior angle of a regular octagon is represented by the expression 7x - 4. SOLVE FOR X.​

Answers

Answer:

x = 4/7

Step-by-step explanation:

7x - 4

7x = 4

x = 4/7

Write inequalities if the amount of of quarts of paint needs to be between 1 and 2 quarts

Answers

Answer:

  1 ≤ q ≤ 2

Step-by-step explanation:

If q represents the number of quarts of paint needed, the requirement that it be between 1 and 2 can be written ...

  1 ≤ q   and    q ≤ 2

These inequalities can be combined into one compound inequality:

  1 ≤ q ≤ 2

__

Additional comment

We have used the usual English language interpretation of "between", which allows the end values to be considered as part of the solution set. That is, 1 quart is sufficient to satisfy the need for "between 1 and 2."


Which ordered pair represents a solution to both equations?


Answers

Answer:

-3,-1

its obvious because all you're doing is plting points

An arithmetic sequence is given below.
15, 19, 23 ,27 …
Write an explicit formula for the nth term an

Answers

Step-by-step explanation:

arithmetic sequence means every new term is the previous term plus a certain constant.

as we can see, this constant is +4 in our case.

15 + 4 = 19

19 + 4 = 23

23 + 4 = 27

...

so, we have

a1 = 15

a2 = a1 + 4 = 15 + 4 = 19

a3 = a2 + 4 = a1 + 4 + 4 = a1 + 2×4 = 15 + 8 = 23

...

an = an-1 + 4 = a1 + (n-1)×4 = 15 + (n-1)×4

-4(5+20)=16. S+20=-4. S=

Answers

Answer:

s = -24

Step-by-step explanation:

-4(-24 + 20) = 16 TRUE

-24 + 20 = -4 TRUE

(Are there any options for the missing description bit? I'm a little confused what needs to be answered there)

Find the slope-intercept equation of the line that has a slope of -2 and goes through the point (5,-2).

Answers

y = -2x + 8 is the answer, hope this helps

What is Abacus in terms of maths ?

Answers

Answer:

An abacus is a calculation tool used by sliding counters along rods or grooves, used to perform mathematical functions. In addition to calculating the basic functions of addition, subtraction, multiplication and division, the abacus can calculate roots up to the cubic degree.

An abacus is a calculation tool used by sliding counters along rods or grooves, used to perform mathematical functions. In addition to calculating the basic functions of addition, subtraction, multiplication and division, the abacus can calculate roots up to the cubic degree.

For what value of the variable will the expression 8b-27 be equal to the following? -11
100 POINTS
BRAINLIEST IF CORRECT

Answers

Answer:

2

Step-by-step explanation:

8b - 27 = -11

8b = 16

b = 2

The variable b will equal 2

Let's check

8b-27=-118b=-11+278b=16b=2

The table below shows a proportional relationship. True or False?​

Answers

Answer:

True

Step-by-step explanation:

Colby and Cheryl work in different local factories. Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works. Cheryl regularly
earns $16.60 per hour, and she is pald double time for an hour of overtime. Who earns more for one hour of overtime?How much more?
.85

Answers

Answer: Cheryl earns $6.20 more per hour.

Step-by-step explanation:

$/hr    OT   $/hr OT

 18     1.5      27

 16.6    2       33.2

Cheryl wins the overtime pay rate with $33.20/hr OT (OverTime).  She earns $6.20 more per hour.  [How's it feel, Colby?].

Cheryl earns more from overtime than Colby by $6.2 per hour.

Given that,
Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works.
Cheryl regularly earns $16.60 per hour, and she is paid double time for an hour of overtime.
To determine who earns more for one hour of overtime and wow much more.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
From given
The factor of earning overtime for Colby = 1.5
earning of from overtime for an hour of Colby = 18 * 1.5 = $27
The factor of earning overtime for Cheryl = 2
earning of from overtime for an hour of Cheryl  = 16.60 * 2= $33.20

So,
33.20 > 27
Implies
Their overtime earnings

of Cheryl is greater than Colby's by 33.20 - 27 = $6.2 per hour.

Thus, Cheryl earns more from overtime than Colby by $6.2 per hour.

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