Need help ASAP please
Part 1:
You started saving for a car when you were in middle school. You have done some research and discovered that it will cost you about $9,500 for a used car that would fit your needs. You were encouraged to invest some of your savings to help you get to your financial goal faster. So far you have saved $7,500. If you invest this money in a savings account with a 3.3% interest rate compounded annually, how long will it take to earn enough money to go purchase the car? Use the compound interest formula A = P (1 + i)n, where A is the accumulated amount, P is the principal, i is the interest rate per year, and n is the number of years. Round your final answer to the nearest tenth.

Answers

Answer 1

Answer:

7.3 years.

Step-by-step explanation:

A = P(1 + i)^n

9500 = 7500(1 + 0.033)^n     where n = number of years.

1.033^n = 9500/7500

n log 1.033 = log(9500/7500)

n =  log(9500/7500)/log 1.033

n = 7.28 = 7.3.


Related Questions

determine the solution to each linear system by using the substitution method
y=4x+2
y=3x-2

Answers

Answer:

The solution is x = -4

Step-by-step explanation:

y=4x+2
we can see here that y equals 4x+2

y =3x-2

The y here is the same y, therefore we ban subtitute the first equation into the second one, like this:

y =3x-2

4x+2 = 3x-2

now just solve it algebraically.

4x + 2 - 3x = 3x -2 -3x

x +2 -2 = -2 -2

x = -4

The solution is x = -4


hello people ~
The length and breadth of a rectangular wall are 75 m and 32 m, respectively. Find the cost of painting the wall if the rate of painting is Rs 3 per sq. m.

Answers

Cost = 3 rupees per sq. m.

Cost = 3 x 2400

Cost = 7200 rupees

So your answer is 7,200

A person invests 6500 dollars in a bank. The bank pays 4% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 8900 dollars?

Answers

The time required for the invested money to reach the accrued amount is 8 years.

What is the time required to acquire the accrued amount?

The compound interest formula is expressed as;

A = P(1 + r/n)^(n*t)

Where A is accrued amount, P is principal, r is rate,  and t is time.

Given that;

Principal P = $6500Interest rate r = 4% = 4/100 = 0.04Compounded daily n = 365 dayAccrued amount A = $8900?

Plug the given values into the compound interest formula and solve for time t.

A = P(1 + r/n)^(n*t)

t = In(A/P) / n[ In( 1 + r/n ) ]

t = (In( $8900 / 6500 )) / ( 365[ In( 1 + 0.04/365 ) ] )

t = (In( $8900 / 6500 )) / ( 365[ In( 1 + 0.04/365 ) ] )

t = 7.857

t = 8 years.

Therefore, the required time is 8 years.

Learn more about compound interest here: brainly.com/question/27128740

#SPJ1

Answer:7.9

Step-by-step explanation:

the line shown contains ( -1,2) and (1,-1) what is the slope of the line

Answers

Answer:

m=-3/2

Step-by-step explanation:

To find slope we can use the formula y2-y1/x2-x1

Let's plug in our points

-1-2/1--1 which is -3/2

Our slope is -3/2

Answer:

m=-3/2

Step-by-step explanation:

In order to solve this problem, you must use the slope formula.

Slope formula:

[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1}=\dfrac{RISE}{RUN} }[/tex]

y2=(-1)

y1=2

x2=1

x1=(-1)

Rewrite the problem down.

Solve.

[tex]\sf{\dfrac{-1-2}{1-(-1)}=\dfrac{-1-2}{1+1}=\dfrac{-3}{2}=\boxed{\sf{-\dfrac{3}{2} }} }[/tex]

Therefore, the slope is -3/2, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

8.5.PS-8
Question Help

Find the circumference of the circle. Use 3.14 for .
15 ft
The circumference is about ft.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Review progress
Question 2
of 8
Back
Next

Answers

Answer:

47.1 ft

Step-by-step explanation:

To find the circumference of a circle, use the formula c = πd

We know that π = 3.14 and d = 15 ft so we can substitute this into the formula:

c = 3.14 × 15 = 47.1 ft

Hope this helps!

Construct a circle through points X, Y, and Z PLEASE HELPPP

Answers

Answer:

The number of given points=3, y, and z

Step-by-step explanation:

The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3? They are same-side interior angles, so angle 3 measures 50°. They are alternate interior angles, so angle 3 also measures 130°. They are corresponding angles, so angle 3 also measures 130°. They are alternate exterior angles, so angle 3 measures 50°.

Answers

Answer:

Option B. ∠3 = 130°

Step-by-step explanation:

In the given question a, b, c are the parallel wires and pipe cleaner is the transverse.

Now we take two parallel wires a, c and pipe cleaner as transverse then

we have to find the relation between angle 4 and 130°

∠4 = ∠9 [ alternate interior angles ]

∠3 = 130° [ they are the alternate interior angles ]

Therefore option B. is the correct option.

Answer:

B. They are alternate interior angles, so angle 3 also measures 130°.

Step-by-step explanation:

Find the cube root. -8/27​

Answers

Answer: Exact Form:2/3 (2 over 3)  Decimal Form:0.¯6

Step-by-step explanation:

28z+16? Help? Fr? ……. It said it was to short so?

Answers

Answer:

4(7z+4)

Step-by-step explanation:

If you are trying to factors this then it would be 4(7z+4)

y= -4 +6

3x + 4y = -2
Is (2, 2) a solution of the system?

Help!

Answers

Answer:

[tex]{y,x}={2,-10/3}[/tex] ( No)

Step-by-step equation:

System of Linear Equations entered :

 [1]           y=-4+6

 [2]           3x+4y=-2

Equations Simplified or Rearranged :

  [1]    y = 2

  [2]    4y + 3x = -2

Graphic Representation of the Equations :

   0? + y = 2        3? + 4y = -2  

 

Solve by Substitution :

// Solve equation [1] for the variable  y

  [1]    y = 2

// Plug this in for variable  y  in equation [2]

  [2]    4•(2) + 3x = -2

  [2]    3x = -10

// Solve equation [2] for the variable  x

  [2]    3x = - 10

  [2]    x = - 10/3

// By now we know this much :

   y = 2

   x = -10/3

We are done

Solution :

{y,x} = {2,-10/3}

What is the solution set for - 4x + 10 > 5x + 55?
A. x 25
B. x > 45
C. X <-5
D. X <-45

Answers

Answer:

d

Step-by-step explanation:

took the test

Answer:

C

Step-by-step explanation:

‒4x‒5x>55‒10=‒9x>45

=‒9x/-9>45/‒9

=x<-5

i think it is easy &i hope my answer helps you

(07.05)
A random sample of students at Spectrum University was asked to estimate
the average number of minutes they spent on social media per day and their
grade point average (GPA). The data are shown in the table.
Minutes Spent on Social
Media
35 58 61
64 72 75 79 101 115
Grade Point Average
3.9 3.6 3.55 3.5 3.2 3.5.3 2.8 2.5
A researcher wants to determine whether there is a relationship between the
number of minutes spent on social media each day and GPA. What are the
appropriate testing hypotheses?

Answers

The appropriate testing hypotheses to determine whether there is a relationship between the number of minutes spent on social media each day and GPA is c H.o: B = 0, Ha: B ≠ 0.

What is hypothesis testing?

Hypothesis testing simply means an act in statistics whereby an analyst tests an assumption regarding a population parameter.

In this case, from the complete question, the hypotheses to determine whether there is a relationship between the number of minutes spent on social media each day and GPA is H.o: B = 0, Ha: B ≠ 0.

This is essential to provide evidence concerning the plausibility of the hypothesis with the data given.

Learn more about hypotheses on:

https://brainly.com/question/11555274

How many triangles can be constructed with side lengths of 6.4 cm, 8.3 cm, and 14.6 cm? 0 1 more than one

Answers

Answer: only one triangle

Step-by-step explanation:

How many triangles can be constructed with side lengths of 6.4 cm, 8.3 cm, and 14.6 cm? 0 1 more than one

Which would prove that ab ≅ ac? converse of the isosceles triangle theorem substitution definition of congruency converse of the triangle parts relationship theorem

Answers

From the AAS property of congruency the side ab≅ac in the isosceles triangle.

What is the congruency of the triangle?

Congruency generally shows the similarities between two triangles or any other shape for the similarity of the two shapes they should have any three properties same like their three sides, Three angles or one angle two sides and so on.

Now for an Isosceles triangle abc given in the figure

[tex]\angle bad=\angle cad[/tex]

[tex]\angle abd=\angle acd[/tex]

[tex]ad=ad[/tex]   (common side)

So from the AAS property, the triangle [tex]\Delta bad=\Delta acd[/tex] are congruence

The side ab will also be equal to the side ac.

So from the AAS property of congruency is the side ab≅ac in the isosceles triangle.

To know more about congruency follow

https://brainly.com/question/2102943

Answer:

The answer would be "A". Converse of the isosceles triangle theorem.

Step-by-step explanation:

You're Welcome :)

A student buys two hot dogs and three drinks at the carnival for $5.25. The drinks
cost half as much as the hot dogs.
How much is each hot dog?
A $0.43
B $0.75
C $1.05
D $1.50

Answers

Answer:

B $0.75

Step-by-step explanation:

0.75x 3= 2.25

if the hotdogs are 2x as much as the drinks then

0.75x2= 1.50

then if there are 2 hot dogs

1.50x2=3

2.25+3=5.25


Solve the equation X-6+2=6 for the variable. Show each step of your solution process. (10 points)

Answers

Answer with step-by-step explanation:

x = 10

Step 1: Simplify both sides of the equation.

x - 6 + 2 = 6

x + (-6) + 2 = 6

(x) + (-6 + 2) = 6

x + (-4) = 6

x - 4 = 6

Step 2: Add 4 to both sides.

x - 4 + 4 = 6 + 4

x = 10

Hope this helped! (brainliest please)

Solve the equation.
Z
-7=
3
12
7
Oz=
3
Oz=2
Oz=-21
Oz=21

Answers

Answer:

What is equation?

Step-by-step explanation:

The ordered pair (-1, 4) is a solution to which of the pairs of equations? (1)

(1) y = -x + 3, y = x + 1
(2) x - y = 2, x + y = - 6
(3) x + y = - 2, 7x - 4y = 8
(4) y = -x + 3, y = 2x + 6

Answers

Answer:

d

Step-by-step explanation:

Substitute x = -1 into the equations. If the solution is y = 4 for both, then (-1, 4) is the solution.

(a) y = 1 + 3 = 4

    y = -1 + 1 = 0

(b) -1 - y = 2  ⇒  y = -3

  -1 + y = -6  ⇒  y = -5

(c) -1 + y = -2  ⇒  y = -1

7(-1) - 4y = 8  ⇒  y = -15/4

(d) y = 1 + 3 = 4

   y = 2(-1) = 6 = 4

Answer This PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSs

Find the Total Are of the figure!

Answers

Answer:

the answer should be 27 you jus add them up

Step-by-step explanation:

just add them up and you get 27

13. Four coins with tails up.
Turning any three coins over counts as one move.
How many moves does it take to get all coins to show heads if turning three coins at a time counts as one
move?​

Answers

Answer:

4

Step-by-step explanation:

At the market, 8 apples cost $4.How much do 9 apples cost?

Answers

Answer:

$4.50

Step-by-step explanation:

We must find the unit rate.

Unit rate equals: 1 apple for 50 cents.

.5 multiplied by 9 is 4.5

Answer:

Step-by-step explanation:

C.f.

Select the correct answer.
4
What is the sum of -65 and 6?
O A. 121
B.
29
5
O C.
o
OD. – 124

Answers

Answer:

-59 im pretty sure

Miguel can use all or part of his $25 gift card to make a music purchase. each song costs $1.50, and there is a $1.00 per account activation fee. which inequalities can represent this situation if m is the number of songs he can buy? select two options. 1 1.5 m less-than-or-equal-to 25 1 1.5 m greater-than 25 25 greater-than 1 1.5 m 1 1.5 m less-than 25 25 greater-than-or-equal-to 1 1.5 m

Answers

The inequalities that can represent this situation if m is the number of songs Miguel can buy are:

Option A: [tex]1 + 1.5m \leq25\\[/tex] Option E: [tex]25 \geq 1 + 1.5m[/tex]

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, it is provided that:

The price of an account activation = $1.00The price of a song = $1.50Total amount that Miguel has = $25m = number of songs that Miguel can buy

If he buys m = 0, he doesn't need to open an account, thus, saving all money of gift.

Else, if he buys m > 0, then:

Let c = total cost he will have to pay for m songs.

m songs will cost [tex]1.50 \times m[/tex] dollars

Total cost he will have to pay = account activation charge + m songs; cost

[tex]c = 1 + 1.5m[/tex]

(we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Since we have limited money, so:

c needs to be less than or equal to $25

This is symbolically written as:

[tex]c \leq 25[/tex]

But since we've got [tex]c = 1 + 1.5m[/tex], thus:

[tex]1 + 1.5m \leq25\\[/tex] (option A).

This can be reversed as:

[tex]25 \geq 1 + 1.5m[/tex] (Option E)

(both things are same, as [tex]c \leq 25[/tex] or [tex]25 \geq c[/tex] both are same since if c is less than or equal to 25, then that means 25 is greater than or equal to c)

(the case when c= 0, we have 0 < 25, so it is also included in those two options, as a special case)

Thus, the inequalities that can represent this situation if m is the number of songs Miguel can buy are:

Option A: [tex]1 + 1.5m \leq25\\[/tex] Option E: [tex]25 \geq 1 + 1.5m[/tex]

Learn more about inequalities here:

https://brainly.com/question/11901702

Answer:

A and E are correct

Step-by-step explanation:

3 is what percent of 5?

Answers

Answer:

60%

Step-by-step explanation:

Hi there !

5 ........... 100%

3 .................x%

x = 3×100/5

= 300/5

= 60%

Good luck !

2x – 2y = 24
4x + 7y = –40

Answers

Step-by-step explanation:

is this simultaneous equation

reply in the comments

Help solve for x. I don’t understand it

Answers

Answer:

12

Step-by-step explanation:

The late fee for a library book is $2.50 plus an additional 20 cents per day. If the total charge was 3.10, how many days late was the book?

Answers

Answer:

4 Days Late

Step-by-step explanation:

The first is 2.50, then 20 per day.



What will it cost to carpet a rectangular room measuring 15 ft by 21 ft if the carpet
costs $22.50 per square foot?

Answers

Answer:

The cost would be $7,087.50

Step-by-step explanation:

Area = l×w

15×21= 315 ft^2

315×22.50= 7087.5

I have to classify what shape it is... what is number 5

Answers

Answer:

Its a parallelogram

Hope you have a great day!

A hotel manager needs to buy beds and chairs. He has a total budget of 2000 dollars, and each bed costs $150 and each chair costs $50. Write an inequality to describe the possible number of beds and chairs that he can buy. If he buys 6 beds, what is the maximum number of chairs he can buy?

Answers

Answer:

The maximum number of chairs he can buy is C ≤ 22

Step-by-step explanation:

Let B represent the number of beds the hotel manager can buy.

Let C represent the number of chairs the hotel manager can buy.

Putting this into an expression, we have:

150B + 50C ≤ 2000

Since the hotel manager buys 6 beds, putting this into the information above:

150 (6) + 50C ≤ 2000

900 + 50C ≤ 2000

50C ≤ 2000 - 900

50C ≤ 1100

C ≤ 22

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