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.

Learn more about compound interest here: https://brainly.com/question/25857212

#Tag #SPJ2


Related Questions

I need help plss!!!!!!!

Answers

Answer:

5/2

Step-by-step explanation:

are you the same dude I just answered or are two people taking the same test lol

c = x/y = 5/2

C= x/y
Which In this instance would be 5/2

Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route. Her average speed is 6 mph faster than the Wolf’s average speed. How fast does Red Riding Hood drive?

Answers

Using the relationship between velocity, distance and time, it is found that Red Riding Hood drives at 54 mph.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route, at a speed of 6 mph faster, hence the equations are:

[tex]v = \frac{432}{t}[/tex]

[tex]v + 6 = \frac{432}{t - 1}[/tex]

From the first equation:

[tex]t = \frac{432}{v}[/tex]

Replacing on the second equation:

[tex]v + 6 = \frac{432}{t - 1}[/tex]

[tex]v + 6 = \frac{432}{\frac{432}{v} - 1}[/tex]

[tex]v + 6 = \frac{432v}{432 - v}[/tex]

[tex]432v - v^2 + 2592 - 6v = 432v[/tex]

[tex]v^2 + 6v - 2592 = 0[/tex]

(v + 54)(v - 48) = 0.

The velocity is positive, hence:

v - 48 = 0 -> v = 48 mph.

Red Riding Hood drives 6 mph faster than Wolf, hence:

v + 6 = 48 + 6 = 54 mph.

More can be learned about the relationship between velocity, distance and time at https://brainly.com/question/24316569

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Answer: 54 mph.

Step-by-step explanation:

took the test and got it  correct. edge.

PLEASE CAN SOMEONE ANSWER THIS, THANKS

Suppose a charity received a donation of $24.1 million. If this represents 29% of the charity's donated funds, what is the total amount of its donated funds?

Round your answer to the nearest million dollars.

Answers

Answer:

$83 million

Step-by-step explanation:

29% of the charity's donated funds.

$24.1 million = donation

Let x = the total amount of donated funds

29/100 • x = 24.1

x = 24.1 • 100/29

x = 83.10

=83

Hope this helps :)

17 rounded to the nearest 10th of a degree

Answers

Answer: 20

Step-by-step explanation:

17 is closest to 20 :)

(sorry if this is wrong)

20 because if your rounding to the nearest 10 the range you have is 10-20 because 17 is in between 10 and 20, then you can count or just tell which one 17 is closer to: 17-10=7 so 17 is 7 away from ten, then 20-17=3 so 17 is three away from 20. so now you choose the answer that is closer to the number:)

hope this helps!!

GEOMETRY HELP ME PLEASE ASAP
Right and equation of a line passing through the point (-6,-3) and perpendicular to line JK with J(-2,-7) and K(6,5)

Answers

Answer:

Find the slope that passes between the points.

(y₂ - y₁) / (x₂ - x₁)

J(-4, -5)

K(-6, 3)

(3 - (-5)) / (-6 - (-4))

(3 + 5) / (-6 + 4)

8 / -2

-4

Step-by-step explanation:

there

Help me guys, please and thank u

Answers

Answer:

¡¡ Only

Step-by-step explanation:

-8-2x < - 4

-2x < - 4+8

-2x < 4

x > - 2

Greg builds a pond which is volume 7.35m. it is 4.2m long.What is the width of the pond?

Answers

Answer:1.75m

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

$50.96

Step-by-step explanation:

300(1.04)^4

350.957568.......simplify

350.96.................round to nearest hundredth

350.96-300

50.96

50.96
^that person right

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

b

Step-by-step explanation:

What is the slope of the line represented by the equation y = fx-3?
Х
5
-3
o
4
5
|s
4
5
O 3
Please helpppp!!!!

Answers

Answer:

it 3.5-9

Step-by-step explanation:

Solve pls brainliest

Answers

Answer:

a)0.085 b)19.6 percent

Step-by-step explanation:

Answer:

a) 0.085

b) 19.6%

Step-by-step explanation:

Draw and label a figure to represent the congruent triangles. Then find x and y.

please draw and label!! i will give brainliest.

Answers

Answer:

y = 6;  x = 12

Step-by-step explanation:

If the triangles are congruent , then their sides are corresponding.

AB ≅DE                                          DE≅ AC

7 = 2y - 5                                       3x - 13 = 11 + x

7 + 5 = 2y                                       3x - x -13 = 11

12 = 2y                                             2x - 13 = 11

6 = y                                                   2x = 11 + 13

                                                            2x = 24

                                                               x = 12

AB=DE

[tex]\\ \sf\longmapsto 2y-5=7[/tex]

[tex]\\ \sf\longmapsto 2y=12[/tex]

[tex]\\ \sf\longmapsto y=6[/tex]

DF=AC.

[tex]\\ \sf\longmapsto 11+x=3x-13[/tex]

[tex]\\ \sf\longmapsto 2x=24[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

AC=DF=23

Diagram attached

Solve the linear systems using addition or subtraction 7x + 2y = 8;-5x - 2 =-12​

Answers

Answer:

(2 , -3)

Step-by-step explanation:

7x +2y = 8

-5x - 2  = -12

The only method that uses addition/subtraction is elimination

5(7x + 2y = 8)

7(-5x = 10) I am getting x coefficient to be the same, LCF of 7 and 5 is 35)

(multiply it out and now we can get ready to subtract) *I got 10 by adding 2 to -12*

35x + 10y = 40

-35x = 70

10y = -30

y = -3

substitute y into original equation

7x + 2 (-3) = 8

7x - 6 = 8

7x = 14

x = 2

(2 , -3 )

Answer:

Step-by-step explanation:

Add 5x to both sides to isolate -2:

-5x + 5x - 2 = -12 + 5x

-2 = -12 + 5x

Add 12 to both sides to isolate the 5x:

-2 + 12 = -12 + 12 + 5x

10 = 5x

Divide both sides by 5:

[tex]\frac{5x}{5} = 10 \div 5\\[/tex]

x = 2

Substitute this value into the first equation:

7x + 2y = 8

7(2) + 2y = 8

14 + 2y = 8

Subtract 14 from both sides:

14 - 14 + 2y = 8 - 14

2y = -6

Divide both sides by 2:

2y ÷ 2 = -6 ÷ 2

y = -3

So the coordinate set is:

(2, -3)

Hope this helps!

Write the line (-5,-6) with slope 2/5 in point-slope form

Answers

Answer:

[tex]y+6=\frac{2}{5} (x+5).[/tex]

Step-by-step explanation:

1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;

2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:

y+6=2/5(x+5).

I started some of it but i’m really confused with the rest. Does anyone know how to do it?

Answers

Answer:

-4,1 -3,0 -2,1 -1,2 0,3 1,4 2,5 3,6 4,7

Step-by-step explanation:

when x increases by one, so does y. The slope of the line is 1 btw.

How would you write 262 × 3 in addition form?
600 + 18 + 6
600 + 180 + 6
618 + 6
600 + 180 + 6 × 3

Answers

Answer:

262x3=768 so you need to find which answer equals 786 in addition form.

option a is equal to 624

option b is equal to 786

option c is equal to 624

option d is equal to 2358

your answer would be option b.

Step-by-step explanation:

hope this helps

HELP ASAP. Dilation scale=2, center (5,4)
Graph the new points

Answers

Answer:

3.5

Step-by-step explanation:

The radius of a cycle wheel is 35 cm. Find the number of turns required to cover a distance of 1540 m

Answers

Answer:

1 I think can you make sure?

Help plzdlkkdkkdkdnnzkzkzkskskeme

Answers

Answer:

ofc 8 there are 8 post card ♦️

Answer:

222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222

Step-by-step explanation:

22222222222222222222222222222222222222

I need the answer FAST

Answers

Answer:

  x = -9, 4

Step-by-step explanation:

The sides are marked congruent, so you have ...

  x^2 +5x = 36

Subtracting 36 puts this in standard form:

  x^2 +5x -36 = 0

To factor this, you need to find factors of -36 that have a sum of 5.

  -36 = (-1)(36) = (-2)(18) = (-3)(12) = (-4)(9) = (-6)(6)

The sums of these factor pairs are 35, 16, 9, 5, 0.

The pair with a sum of 5 is (-4)(9), so the factorization of the quadratic is ...

  (x -4)(x +9) = 0

The solutions are the values of x that make the factors zero:

  x = 4, x = -9

Both of these solutions work in this problem.

Can someone help me with this​

Answers

Answer:

1. so the express of the shaded region would be

10x*6 which gives 60x the area of the whole thing subtract 2x*4 =8x

so 60x-8x

2.

the perimeter is 6*2 bc two sides so 12

and 10x *2 bc two sides 20

so 20x+12 would be the perimeter

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

Answers

i believe it’s y=(x-3)(x-5)

Help help help quickly

Answers

Answer:

x > 15

Step-by-step explanation:

first step is to subtract 9 from each side to get:

x/3 > 5

now multiply each side by 3 to get:

x > 15

The school that Michael goes to is selling tickets to a dance. On the first day of ticket sales the school sold 3 staff tickets and 1 student ticket for a total of $38. The school took in $52 on the second day by selling 3 staff tickets and 2 student tickets. Find the price of a staff ticket and the price of a student ticket.

Answers

The price of a staff ticket and the price of a student ticket is $8 and $14

Given:

Day 1:

Number of staff tickets sold = 3

Number of students tickets sold = 1

Total revenue day 1 = $38

Day 2:

Number of staff tickets sold = 3

Number of students tickets sold = 2

Total revenue day 2 = $52

let

cost of staff tickets = x

cost of students tickets = y

The equation:

3x + y = 38 (1)

3x + y = 38 (1)3x + 2y = 52 (2)

subtract (1) from (2)

2y - y = 52 - 38

y = 14

substitute y = 14 into (1)

3x + y = 38 (1)

3x + 14 = 38

3x = 38 - 14

3x = 24

x = 24/3

x = 8

Therefore,

cost of staff tickets = x

= $8

cost of students tickets = y

= $14

Read more:

https://brainly.com/question/22940808

write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4

Answers

Answer:

y= -3x + 8

Step-by-step explanation:

Put -2x + 6y = -4 into slope-interceltp form

Take the negative reciprocal of the slope.

Use this reciprocal in point-slope form

and you have,

= y= -3x + 8

(EDITED) Steps:

2x+6y = -4

6y=2x - 4

y= 1/3x + 2/3

if two lines are perpendicular,

m1 * m2 + -1

1/3 * m2 = -1

m2 = -3

the line perpendicular to this line is

y = -3x + k ; k ∈ R

the line passes through the point (5,-7)

so,

-7 = -3. (5) +k

-7 = -15 + k

k = 8

∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is

y= -3x + 8

Hope this helps, have a nice day/night! :D

Landon and chris are playing a video game . At the end of the game the boys scored 209 points total if Landon scored five more than twice the number of Points that chris did how many points did Landon score

Answers

Answer:

428

Step-by-step explanation:

209+5=214

214x2= 428

I think this is the correct answer, if it's not I'm sorry :3

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4

Answers

Answer:

It's the 2nd graph

Step-by-step explanation:

Think about it. The large barrel weighs 25 pounds. There are 20 gallons of water. Now look at the graphs 1 more time.

Dan is buying turkey cutlets for $2.69 per pound. The package weighs 4 pounds, 8 ounces.
How much will the cutlets cost?

Answers

if I did it right then it's $32.38.

find x.
please i need help!!

Answers

Step-by-step explanation:

sin45°=x/4√2

=> 1/√2 = x/4√2

=> x= 4√2/√2

=>x= 4.

hope this helps you.

The question is an illustration of right-angled triangles

The value of x is (b) 4

To calculate the value of x, we make use of the following sine ratio

[tex]\sin(45) = \frac{x}{4\sqrt 2}[/tex]

Multiply both sides of the equation by [tex]4\sqrt 2[/tex], to make x the subject of the formula

[tex]x = \sin(45) \times 4\sqrt 2[/tex]

Evaluate sin(45)

[tex]x = \frac{1}{\sqrt 2} \times 4\sqrt 2[/tex]

Cancel out the common factors

[tex]x = 4[/tex]

Hence, the value of x is (b) 4

Read more about right-angled triangles at:

https://brainly.com/question/16195823

A plane flies due south at 200 mph for 3 hours. If there is a wind of 25 mph blowing due
west during the entire flight, how far did the plane actually travel?

Answers

Answer:

just divide both of them

Answer:

525

Step-by-step explanation:

200-25=175. 175*3=525

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