Mr. Davis invested $8,000 in a savings account. The bank pays 4.5% annual compound
interest. Mr. Davis never withdrew nor deposited in the savings account. Which of the
following exponential graphs represents the money y that Mr. Davis has after x years

Answers

Answer 1

Answer:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of times periods elapsed

Given:

A = yP = $8,000r = 4.5% = 0.045n = 1t = x

Substitute given values into the equation:

[tex]\implies y=8000(1+\frac{0.045}{1})^x[/tex]

[tex]\implies y=8000(1.045)^x[/tex]

So the graph will have a y-intercept of (0, 8000)

Mr. Davis Invested $8,000 In A Savings Account. The Bank Pays 4.5% Annual Compoundinterest. Mr. Davis

Related Questions

Graph the given function by making a table of coordinates

Answers

X- (-2)(-1)(0)(1)(2) I just did this to separate the numbers by the way
Y- (0.25)(0.5)(1)(2)(4)

Hope this helps:)

100 PTS HELP PLS To the nearest 50 square feet, what is the area of the actual store?

Question 1 options:

2,350 square feet


2,450 square feet


2,500 square feet


2,400 square feet

Answers

Answer:

2,500 square feet is the answer

Question 8
The Woodlands Middle School poll results show that about 79.3% of
people who prefer pizza are students and about 81% of the people
who prefer burgers are students.
Which of the following statements is true?
Pizza
There is not enough evidence to
support a relationship between lunch
preference and role at the school.
Students
Teachers
79.3%
20.7%
100%
Burgers
81.0%
19.0%
100%
Total
There is evidence to support a
relationship between lunch preference
and role at the school.

Answers

Answer: There is not enough evidence to support a relationship between lunch preference and role at the school.

Write the answer as a fraction in simplest form?
7 1/2 ÷ 5/6

Answers

Divide 7x2+1 by 5/6 by multiplying 7x2+1 by the reciprocal of 5/6 which would be 6/5, (7x2+1)x6/2x5 cancel o out 2 in both numerator and denominator, 3(1+14)/5 add 1 to 14 to get 15, 3x15/5 multiply 3 and 15 and get 45, divide 45/5 to get 9

A cat eats 2/3 of a tin of cat food every day. How many tins of cat food will she eat in 1 week?

Answers

Hi :)

First, how many days are in a week?

7 days are in a weekSo 7x 2/3

First, Convert any mixed numbers to fractions.

Then your initial equation becomes:

2/3×7/1

Applying the fractions formula for multiplication,

=2×7 x 3×1

=14/3

Simplifying 14/3, the answer is

4 and 2/3

Therefor, your answer is 4 2/3

4.66 tin of cat food

A sample of students is taken from the school's A honor roll. The school
estimates that there are actually 360 students on the A honor roll. Using this
sample, how many students on the A honor roll are 8th graders?

6th: 15
7th: 11
8th: 14

Please help don’t just like the others that don’t really help

Answers

Answer:

Number of 7th Graders= 360 - X

Step-by-step explanation:

As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from &th grade. As we know: Total number of students on the A honor roll = 360 We are asked to calculate, number of students from 7th grade on the A honor roll. So, let's assume that "X" represents the all the students who are on the A honor roll except 7th grade. Mathematical Expression: Number of 7th Graders = Total number of students on the A honor roll - X Number of 7th Graders = 360 - X So, if you know the value of X, you can easily calculate the number of students which are from 7th grade on the A honor roll.

write 12/root2 + root18 in the form broot2 where b is an interger

Answers

[tex]\dfrac{12}{\sqrt 2} + \sqrt{18}\\\\\\=\dfrac{12 + \sqrt{18 \times 2}}{\sqrt 2}\\\\\\=\dfrac{12+\sqrt{9 \times 4}}{\sqrt 2}\\\\\\=\dfrac{12+3 \times 2}{\sqrt 2}\\\\\\=\dfrac{18}{\sqrt 2}\\\\\\=\dfrac{18\sqrt 2}{\left(\sqrt 2\right)^2}\\\\\\=\dfrac{18\sqrt 2}2\\\\\\=9\sqrt 2[/tex]

Gabe is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. The vertex of the parabola is at the the origin. Where should Gabe place the bulb to ensure a perfect beam of light?
(0,1)
(0,4)
(1,0)
(4,0)

Answers

Answer:

C. (1,0)

Step-by-step explanation:

If we make use of a parabolic reflecting mirror and a light source.

Given thar the equation of parabolic mirror is Y2 = 4ax

The given data in the problem is x = 1 and y = 2

So subject value is y2 = 4ax

4 = 4 a (1)

a = 1

So x = 1

thus focus is at (x, y) = (1,0)

Therefore, option C is correct answer.

Given the figure below, find the values of x and z.
120°
(9x + 30).

Answers

Answer:

z=60º, x=10º

Step-by-step explanation:

Question 1: 180º - 120º = 60º

Question 2:

(9x+30) = 120º

-30          -30

9x=90º

/9    /9

x=10º

1
Maurice drove 48 miles north and then 36 miles west. Find the
shortest distance from the point where he ended up to his starting
point.

Answers

Answer: 60 miles

Step-by-step explanation: If you draw it out you get a triangle with side lengths 48 and 36 and you need to find the hypotenuse.

Use pythagorean's theorem a^2+b^2=c^2 or 48^2+36^2=c^2 and you get that the hypotenuse=60

60 miles that’s the answer to the problem

Question 1 of 6
What is the logical conclusion, based upon the information given in the
problem below?
At a recent baseball game, anyone under age 9 was given one free hotdog.
Travis had to pay for the hotdog that he ate. How old must Travis be?
O A. 6 years old
O B. 11 years old
C. 8 years old

Answers

B. 11 years old because 11 is 2 more than 9

HELP
10 points
And brainleist

Answers

Answer:

5 and 6 are vertical

1 and 2 are linear pair

Step-by-step explanation:

1 and 2 are linear pair because they add up to 180 degrees

5 and 6 are across from each other so they are vertical angles

What number is 604 less than 6,154?

Answers

Answer:

The answer is 5550

Step-by-step explanation:

Just do

6154- 604=5550

Question
The dimensions of a cereal box are shown below.
32 cm
9 cm
21 cm
What is the volume of the box?

Answers

Answer:

6048 cm2

Step-by-step explanation:

32*9*21

Finding volume is simple as pie for a cube.

Length*Height*width

help me find x for both, please?​

Answers

Some General Information:

  ⇒ both triangles are isosceles triangle

    ⇒because two of the angles are equal to each other

       ⇒ which means there are two equal sides that always join at the

           same angle to the base (the third side), and meet directly above    

           the midpoint of the base (I attached a diagram for a better

           explanation)

Question 11:

 ⇒ x and 10 are equal

   ⇒ because their sides join the third side at the base with the same

       angle

       ⇒ so x = 10

Question 12:

 ⇒ '2x + 23' and 7 are equal

   ⇒ because their sides join the third side at the base with the same

       angle

      ⇒ so:

           [tex]2x+23=7\\2x=-16\\x = -8[/tex]

         ⇒ thus x = -8

Hope that helps!

What is the probability of rolling a 7 or 8 on an 8-sided die?

Answers

Answer:

2/8

Step-by-step explanation:

denominator is 8 as it's the total of the entire dice.

your numerator is 2 as you only have 1 #8 and 1 #7 so 1+1=2

answer is 2/8

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x = 6y = 5z = 11.5

Step-by-step explanation:

Reflections of a line or a figure across an axis does not change its lengths.

Therefore, the corresponding parts are equal.

5x = 302y = 102z - 1 = 22

Solving for x

5x = 30Divide each side by 55x/5 = 30/5x = 6

Solving for y

2y = 10Divide each side by 22y/2 = 10/2y = 5

Solving for z

2z - 1 = 22Add 1 to each side2z - 1 + 1 = 22 + 12z = 23Divide each side by 22z/2 = 23/2z = 11.5

Can someone help me please?

Answers

Answer:

Wow that's a lot of questions. The answers are 2, 3/4, 4, 6, 10, 5, 48500, 48000, and 50000

Step-by-step explanation:

Hope this helped

What formula can we use to find the surface area of a rectangular prism?​

Answers

Answer:

First one

SA = 2lw + 2lh + 2wh

Step-by-step explanation:

The area is this, it is a fact..

A=2(wl+hl+hw)

Answer:

first one

Step-by-step explanation:

SA = 2wl + 2lh + 2hw

find the missing length​

Answers

Answer:

Step-by-step explanation:

find the value of x please help

Answers

Answer:

x = 146

Step-by-step explanation:

x and 34° are adjacent angles and sum to 180°, then

x + 34 = 180 ( subtract 34 from both sides )

x = 146


A can of hairspray has a
cylindrical lid with a radius of
2 inches and a height of 2
inches. Find the total surface
area of the lid.

Answers

Answer:

2inches=5.08cm

TSA of cylinder=2πr(r+h)

2×22/7×5.08(5.08+5.08)

6×5.08×10.16

324.42cm^3

Gavin needs to fill the fish tank below with water. The directions state that the water level
should be 2 inches below the top of the tank. Write an expression to show the volume of water
Gavin needs to fill the tank according to the directions.
(2x-6) inches
00
x inches
2x inches

Answers

Answer:

the volume is 300cubic inches

the expression is l x w x (h-2)

WHICH IS THE CORRECT ANSWER? GIVING BRAINLIEST

Answers

Answer:

29.7 cm

Step-by-step explanation:

Since A and B are related by a scale of 3:1 then :

3 × (hypotenuse of A) = (hypotenuse of B)

then

(hypotenuse of A) = (hypotenuse of B)/3

                              = 89/3

                              = 29.7

where do the graphs of f(x)=cos(x/2) and g(x)= sqrt2 - cos(x/2) intersect on the interval [0,360)?
(See image below for clear question and answer choices)

Answers

Answer:

  (a)  90°

Step-by-step explanation:

A graph can help you answer the question about where the graphs of the two functions intersect. It shows the one angle of intersection to be 90°.

__

You can also determine this analytically.

  f(x) = g(x)

  cos(x/2) = √2 -cos(x/2)

  2cos(x/2) = √2 . . . . . . . . . . add cos(x/2)

  cos(x/2) = √2/2 . . . . . . . . divide by 2

  x/2 = ±45° +360°×n . . . . . for an integer n

  x = ±90 +720°×n . . . . multiply by 2

  x = 90° is the only solution in the desired range.

Evaluate the following expression
(10 + 2) = 6 + 53

Answers

Answer:12=59

Step-by-step explanation:

vious
6v
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Reader T
The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?
a
OA V = ?
7 x
B.
V=2 / 28
AP
C.
=
3
gard
OD. V-17

Answers

Answer:

B) V= 4/3πr^3

Step-by-step explanation:

The volume of the cone according to the given condition is V = 4πr³/3

What is cone?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex.

Given that the height of a cone is two times its base diameter. we need to find the formula for the volume of cone in terms of base radius,

So, the volume of a cone in general is = π × radius² × height/3

According to the question,

The height is 2x the base diameter, that mean =

h = 2d

Since, d = 2r

So, h = 2(2r)

h = 4r

So the volume according to this condition is =

π × r² × 4r/3

V = π × 4r³/3

V = 4πr³/3

Hence the volume of the cone according to the given condition is V = 4πr³/3

Learn more about cones, click;

https://brainly.com/question/16394302

#SPJ7

john has 15 apples. john eats 6 apples.how many apples does john have left.

Answers

Answer:

9

Step-by-step explanation:

f(x) = In (3 - 4x)
What is the domain

Answers

Answer:

Step-by-step explanation:

The domain is the allowed 'x' values that the function can take on without it being undefined. The natural log function is undefined for negative numbers and zero. It can only take on positive inputs. Therefore, we can set up an inequality:

[tex]3-4x > 0[/tex]

Subtrauct 3 on both sides:

[tex]-4x > -3[/tex]

Divide both sides by -4. When you divide an inequality by a negative number, you must switch the sign of the inequality:

[tex]x < 3/4[/tex]

Therefore, our allowed 'x' values is anything less than 3/4:

-∞ < x < 3/4

A bad contains two red marbles, six blue marbles and seven green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest thousandth, the both marbles drawn will be red

Answers

Answer:

1/105

Step-by-step explanation:

Total Marbles= 2+6+7=15

2/15 * 1/14 = 2/210 = 1/105

(It becomes 1/14 since you take out own red marble)

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