1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frosja888 [35]
3 years ago
8

You want to purchase a new car in 6 years and expect the car to cost $94.000. Your bank offers a plan with a guaranteed APR of 5

5% if you make regular monthly deposits. How much should you deposit each month
to end up with $94.000 in 6 years?
Mathematics
1 answer:
ddd [48]3 years ago
6 0

Answer:

Monthly deposit= $1,120.81

Step-by-step explanation:

Giving the following information:

Future value= $94,000

Number of periods= 6*12= 72

i= 0.05/12= 0.0042

<u>To calculate the monthly deposit, we need to use the following formula:</u>

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (94,000*0.0042) / [(1.0042^72) - 1]

A= $1,120.81

You might be interested in
Use properties to rewrite the given equation. Which equations have the same solution as 3/5x +2/3 + x = 1/2– 1/5x? Check all tha
vodomira [7]

we have

\frac{3}{5}x+ \frac{2}{3}+x=\frac{1}{2}-\frac{1}{5}x

Combine like terms in both sides

(\frac{3}{5}x+ x)+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x

we know that

(\frac{3}{5}x+ x)=(\frac{3}{5}x+ \frac{5}{5}x)=\frac{8}{5}x

substitute in the expression above

\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x-----> equation A        

Multiply equation A by 5*3*2=30 both sides

30*(\frac{8}{5}x+\frac{2}{3})=30*(\frac{1}{2}-\frac{1}{5}x)

48x+20=15-6x ---------> equation B

Group terms that contain the same variable, and move the constant to the opposite side of the equation

48x+6x=15-20

54x=-5 ---------> equation C

Solve for x

x=-\frac{5}{54} =-0.09

We are going to proceed to verify each case to determine the solution.

<u>Case a)</u> \frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x

the case a) is equal to the equation A

so

the case a) have the same solution that the given equation

<u>Case b)</u> 18x+20+30x=15-6x

Combine like terms in left side

(18x+30x)+20=15-6x

(48x)+20=15-6x

the case b) is equal to the equation B

so

the case b) have the same solution that the given equation

<u>Case c)</u> 18x+20+x=15-6x

Combine like terms in left side

(18x+x)+20=15-6x

(19x)+20=15-6x

19x+6x=15-20\\25x=-5\\x=-0.20

-0.20\neq -0.09

therefore

the case c) not have the same solution that the given equation

<u>Case d)</u> 24x+30x=-5

Combine like terms in left side

54x=-5

the case d) is equal to the equation C

so

the case d) have the same solution that the given equation

<u>Case e)</u> 12x+30x=-5

Combine like terms in left side

42x=-5

x=-5/42=-0.12

-0.12\neq -0.09

therefore

the case e) not have the same solution that the given equation

therefore

<u>the answer is</u>

case a) \frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x

case b) 18x+20+30x=15-6x

case d) 24x+30x=-5

7 0
4 years ago
Read 2 more answers
Whoever answers right gets brainliest
Softa [21]

Answer:

37

Step-by-step explanation:

Split the arrow into a rectangle and triangle. The area of the rectangle is 7x4=28. The area of the triangle is 6*3/2=9. 28+9=37

8 0
3 years ago
What is absolute value of -4 5/19
lina2011 [118]
The absolute value is 4 5/19
3 0
3 years ago
Which graph can be used to find the solution(s) to 4x=-4x?
Elden [556K]
<h2>Answer:</h2>

The graph is shown in the Figure below

<h2>Step-by-step explanation:</h2>

In this exercise, we have an equation. On the left side we have a straight line with slope m=4 and there is no any y-intercept. On the right side, on the other had, we also have a straight line, but the slope here is  m=-4. Therefore, by plotting these two straight lines, we have that the solution is the origin, that is, the point (0, 0).


6 0
3 years ago
Read 2 more answers
Solve the inequality -5(3x+4)&lt;6-3x
bogdanovich [222]

-5(3x+4) -26\ \ \ \ |:12\\\\x > -\dfrac{26}{12}\\\\x > -\dfrac{26:2}{12:2}\\\\x > -\dfrac{13}{6}\to x\in\left(-\dfrac{13}{6},\ \infty\right)

7 0
3 years ago
Other questions:
  • Please answer this correctly
    9·1 answer
  • Please help me please
    8·1 answer
  • when rounding to the ten thousands place, what Iis the smallest and largest number that will round to 30,000?
    7·2 answers
  • Which angles are congruent to each other?
    9·1 answer
  • How does the size of the product compare to the size of one factor when multiplying fractions less than one
    10·1 answer
  • Find the slope given the two points. (2, -6) and (2, 3)
    11·2 answers
  • Write an expression that equals 56 include a n exponent
    14·1 answer
  • Work out the size of angle x
    15·1 answer
  • Mich buys bicycles for $38 and sells them for $95. What is the percent of increase in the price?
    14·1 answer
  • WILL GIVE BRAINLIEST IF RIGHT!!! PLS HELP!!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!