Tom wants to have $50,000 saved sometime in the future. How much must he deposit every month into an account that pays 1.45% interest, compounded monthly to reach the goal in 5 years?

Answers

Answer 1

Answer:

$ 809.78

Step-by-step explanation:

Given that

F = future value = $50,000

Interest rate = r = 1.45% = 0.0145

Number of period per year = 12months

Time expressed in years = 5years

The present value of a periodic deposit

P =( F ×r/n)/{ (1+r/n)^nt} -1

Substituting the values into the above formula

P = (50000× 0.0145/12)/(1+0.0145/12)^12×5}-1

= 50000×0.001208/(1+0.0012)^60}-1

= 60.4/1.0012)^60}-1

60.416/1.074608-1

60.4/0.07460

= $ 809.779

His monthly deposit will be $ 809.78


Related Questions

True or false a multiple of 3 must end in 6 or 9

Answers

Answer: False

Step-by-step explanation: 18 is a multiple of 3 and doesn't end in 6 or 9.

Answer:

True

Step-by-step explanation:

May you help please

Answers

The answer is c :)) ! I just took the test

Answer:

Option A

Step-by-step explanation:

We are given the inequality 4x + 6 [tex]\leq[/tex] 18;

[tex]4x + 6 \leq 18,\\4x \leq 12,\\\\x \leq 12 / 4,\\x \leq 3,\\\\Conclusion - Option A[/tex]

As you can tell, the second step was derived through the subtraction of 6 from either side of the inequality sign. 18 - 6 is 12, which resulted in the simplified inequality [tex]4x \leq 12[/tex]. Dividing 4 on either side, we derived [tex]x \leq 3[/tex], which is Option A

write as an algebraic expression

Answers

Answer:

13) x=n-11

15) x=3*10

Step-by-step explanation:

I used x as the variable. The questions are pretty straightforward. They are asking you to put the terms in the description on the right side of the equation. The questions = x. That was probably confusing, but it is correct. I hope this helped!

Product of 3 and 10 and12

(3x+8) (4x+10) what is the length

Answers

12x^2+62x+80
Do you want a step by step?

Please HELP! WILL GIVE BRAINLIEST IF IT PROMPTS ME!

Ahhhh Im losing so many points

Answers

Answer:

reflect over line b

counterclockwise rotation about P by 180 degrees

Step-by-step explanation:

reflecting over b will put it in the same place bc b goes down the middle of the rectangle

if you rotate it counterclockwise around p by 180 degrees it would flip it upside down but that doesn't really matter because the length on the top and bottom are equal

Answer:

I would check:

reflect over line b  and check

counterclockwise rotation about P by 180 degrees

Step-by-step explanation:

First of all, b is a horizontal line going through the middle. If you reflect across it you will get the same rectangle just backwards but exactly the same position.

If you rotate 180, then you will get the exact same shape just upsides down.

Thanks and please give brainliest have a nice day :)

I’ll give you brainliest!!!!! Answer ASAP!!!! What is the first step in solving the equation?

Answers

Answer:

I think it is C. But i'm probably wrong. I had the same thing but i forget it.

Step-by-step explanation:

Hope it helps.

Evaluate 4 - 2(a2 – b2)2 when a = 3 and b = 2.

Answers

Answer:

-46

Step-by-step explanation:

4 - 2(a^2 – b^2)^2 =

= 4 - 2(3^2 – 2^2)^2

= 4 - 2(9 - 4)^2

= 4 - 2(5)^2

= 4 - 2(25)

= 4 - 50

= -46

Answer:

= -46

Step-by-step explanation:

4 - 2(a² - b²)²

= 4 - 2(3² - 2²)²

= 4 - 2(9 - 4)²

= 4 - 2(5)²

= 4 - 2(25)

= 4 - 50

= -46

[tex]x^{2}-5x-24=0[/tex]

Quadratic Formula and solve

Answers

Answer:

x= 8, 3

Step-by-Step Explanation:

[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]

[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]

what is the ratio 14:56 in its simplest form thx

Answers

Answer:

1:4

Step-by-step explanation:

7:28

1:4

Answer:

1:4

Step-by-step explanation:

14:56=

7(2):7(8)=

2:8=

2(1):2(4)=

1:4

Hope this helps!

1. Which point represents a value that is less
than -1 and greater than -5?

Answers

Um not sure...Absolute value?

PLS HELP ILL MARK YOU BRAINLIEST 45 POINT Part A: Create a fourth-degree polynomial with three terms in standard form. How do you know it is in standard form? Part B: Explain the closure property as it relates to addition of polynomials. Give an example.

Answers

Answer:

A fourth degree polynomial:

[tex]2x^{4} + 10x^{3} + 21[/tex]

The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial. For example

(10x^2 + 12) + (x^2 + 6) = 11x^2 + 18

This demonstrates closure because 11x^2 + 18 is also a polynomial

Step-by-step explanation:

Part A: [tex]x^{4}+2x+20[/tex] is a fourth degree polynomial with three terms and it proved that it is in standard form

Part B: Closure property has been proved in the addition of polynomials

What is Polynomial?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Part A

Example of fourth degree polynomial with three terms is

[tex]x^{4}+2x+20[/tex]

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on

Hence, it is a standard form

Part B

The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial

Example

(2x+6)+(5x+2)= 7x+8

Hence, the Closure property has been proved in the addition of polynomial

Learn more about Polynomial here

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Which value is NOT equivalent to the other values?

A: 1.5
B: 15%
C: 3/20
D: 0.15

Answers

Answer:

A

Step-by-step explanation:

1.5 does not equal 0.15 or the other values.

1.5 is not equal because it is greater than 15 and all the other choices equal 15

Which exspression is equivalent to :

Answers

Answer:

C

Step-by-step explanation:

The system of equations and is shown on the graph below. What is a reasonable estimate for the solution? (1.1, –1.9) (–1.9, 1.1) (2.1, –3.9) (–3.9, 2.1)

Answers

Answer:

A: (1.1, –1.9)

tell me if im wrong pls.

Answer:

A

Step-by-step explanation:

I took the test

What is the value of K?
O k = 28
Ok= 29
Ok= 31
Ok = 42

Answers

Answer:

k = 29

Step-by-step explanation:

The sum of the two angles is 180 since they form a straight line

5k-3 + 9+k = 180

Combine like terms

6k +6 = 180

Subtract 6 from each side

6k = 174

Divide each side by 6

6k/6 = 174/6

k =29

Answer:

k=29

Step-by-step explanation:

The ratio of ages of kissi and esinam is 3:5 and esinam is 3:5 The sum of ages of all 3 is 147 years.whats the age difference between oldest and youngest ?

Answers

Answer:

48 years.

Step-by-step explanation:

Consider the complete question is "The ratio of ages of kissi and esinam is 3:5 and that of esinam and lariba is 3:5. The sum of ages of all 3 is 147 years. whats the age difference between oldest and youngest ?"

It is given that

Kissi : Esinam = 3:5 = 9:15

Esinam : Lariba = 3:5 = 15:25

So, the combined ratio is Kissi : Esinam : Lariba = 9:15:25

Let ages of Kissi, Esinam, Lariba are 9x, 15x and 25x.

Sum of ages of all 3 is 147 years.

[tex]9x+15x+25x=147[/tex]

[tex]49x=147[/tex]

[tex]x=3[/tex]

The value of x is 3. So, the age of all three are

[tex]Kissi=9x=9(3)=27[/tex]

[tex]Esinam=15x=15(3)=45[/tex]

[tex]Lariba=25x=25(3)=75[/tex]

Since Lariba is oldest and Kissi is youngest, therefore, the difference between their ages is

[tex]75-27=48[/tex]

Hence, difference between oldest and youngest is 48 years.

−4x−6=−5y+2 Write a formula for g(x) in terms of x

Answers

Answer:

4/5x + 8/5 = g(x)

Step-by-step explanation:

−4x−6=−5y+2

Solve for y

Subtract 2 from each side

−4x−6-2=−5y+2-2

-4x -8 = -5y

Divide each side by -5

-4x/-5 -8/-5 = -5y/-5

4/5x + 8/5 = y

Replace y with g(x)

4/5x + 8/5 = g(x)

Carlos and his brother each made 72 cookies for the church bake sale. They sold the same amount of cookies each day over a three day period. Between the two of them how many cookies did the boys sell each day? A. 24 B. 48 C. 72 D. 144

Answers

Answer:

the answer is 144

Step-by-step explanation:

just add 72+72=144


A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to the nearest hundredth (2 decimal places) or leave your answer in Pi form

Answers

Answer:

500 /3 pi cm^3

Step-by-step explanation:

The side length of the cube is 10 cm, so the diameter of the sphere is 10 cm

That means the radius is  

r =d/2 =10/2 = 5 cm

The volume of a sphere is

V = 4/3 pi r^3

  = 4/3 pi (5)^3

  = 500 /3 pi cm^3

Answer:

Your correct answer is 500/3 cm^3

I will show you how and tell you why it is 500/3 cm^3 down below:

Explanation:

The side length of the cube is 10 cm therefore, the diameter of the sphere is 10 cm so, the radius is 5 cm:

r = d/2 = 10/2 = 5 cm

and right here I will show you the volume of the sphere:

v = 4/3 r^3

= 4/3 (5)^3

= 500/3 cm^3

Showing these results, you can see that the answer is 500 /3 cm^3

Which of following lies between 0 and -1 ?

Answers

Answer:

Step-by-step explanation:

There are many numbers that lie between 0 and -1

Some common numbers are -1/4 , -1/2 , -3/4 , etc.........

Other numbers can be found by multiplying the numerator and denominator by the same number for example, 10

0/1 × 10/10 = 0/10

-1/1 × 10/10 = -10/10

Now the numbers between 0/10 and -10/10 are :

-1/10, -2/10....................................-9/10 etc.

hope this helps

plz mark it as brainliest!!!!!!!

The numbers lies between 0 and -1 shown below:

What is rational number?

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer.

To find the number lies between 0 and -1, we have to

0/1 and -1/1

0/1* 10/10 and -1/1*10/10

so, we have to find in between 0/10 and -0/10

-1/10, -2/10, -3/10, -4/10, ............................ -9/10

Hence, the numbers are -1/10, -2/10, -3/10, -4/10, ............................ -9/10.

Learn more about rational number here:

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Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players from the same distributor each month. Because CD World buys 35 more units than the other two stores combined, CD World's cost is only $160 per unit. The players cost Hi-Fi $165 each and Ace $170 each. How many players does each retailer buy each month if the distributor receives $31,750 each month from the sale of the players to the three stores?

Answers

Answer:

Ace Electronics buys 30, Hi-Fi Stereo buys 50, and CD World buys 115

Step-by-step explanation:

Let x represent the number of items Ace Electronics buys

Let y represent the number of items Hi-Fi Stereo buys

Let z represent the number of items CD World buys

Since Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players:

x + y + z = 195   (1)

Since CD World buys 35 more units than the other two stores combined:

z = x + y + 35   (2)

If you substitute z in equation 1 from equation 2:

x + y + (x + y + 35) = 195

2(x + y) = 195- 35

x + y = 80   (3)

Since z = x + y + 35:

z = 80 + 35

z = 115

Since CD World's cost is $160 per unit, Hi-Fi 's cost is $165 per unit and Ace Electronics's cost is $170 per unit and the total payment received is $31,750

170x + 165y + 160z = 31750   (Substitute x from equation 3 and z as 115)

170(80-y) + 165y + 160(115) = 31750

13600 - 170y  + 165y + 18400 = 31750

32000 - 5y = 31750

5y = 250

y = 50

Since x + y = 80:

x + 50 = 80

x = 30

Help!!! Which of the following best describes abc?

Answers

Answer:

Inscribed Angle (A)

Step-by-step explanation:

in geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

A painter charges 15.40 per hour, plus an additional for the supplies. If he made 188.73 on a job where he worked 7 hours, how much did the supplies cost

Answers

Answer:

80.93

Step-by-step explanation:

15.40×7=107.80

188.73-107.80=80.93

The length of a rectangle is 15 meters more than the width. The perimeter is 50 meters. The width is:

Answers

Answer:

5 meters

Step-by-step explanation:

The perimeter of a rectangle can be expressed as 2l+2w.

2l+2w=50

l=w+15

Substitute:

2(w+15)+2w=50

2w+30+2w=50

4w+30=50

4w=20

w=5

Hope this helps!

I need help ASAP I shall give brainlyist (idk how to spell) figure out how much A cand hold and how much B can hold

Answers

Answer:

A) 84.78

B) 42.39

Step-by-step explanation:

A)

[tex]\pi r^2 h= \\\\3.14 \cdot 3^2 \cdot 3= \\\\84.78[/tex]

B)

[tex]\pi r^2 h= \\\\3.14 \cdot 1.5^2 \cdot 6=\\\\42.39[/tex]

Hope this helps!

-30 belongs to what family of real numbers ?

Answers

Answer: Irrational numbers

i believe it would be an integer

i am thinking of a fraction. The sum of the numerator and denominator is 19. When I add
8 to the denominator, the fraction becomes 1/2 What is the fraction I am thinking of?​

Answers

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

Let the fraction be [tex]\frac{x}{y}[/tex].

That would mean:

(1)    x+y = 19

&

(2)    y+8 = 2x or 2x = y+8

In order to use substitution, we multiply equation by 2:

(3)   2x+2y = 38

Then we substitute equation (2) into (3):

y+8 + 2y = 38

3y + 8 = 38

3y = 30

y = 10

Substitute this into equation (1)

x + 10 = 19

x = 9

Therefore the fraction would be:

[tex]\frac{9}{10}[/tex]

Answer:

9/10

Step-by-step explanation:

let the fraction be x/y.

x+y=19

x/y+8=1/2

solve simultaneously

y=2x-8

y=19-x

2x-8=19-x

3x=27

x=9

y=10

First gets a brainly :D

Answers

Answer:

[tex]47.25\[/tex]

Step-by-step explanation:

[tex]42 \times 1.125[/tex]

[tex]=47.25[/tex]

Answer:

$25.2

Step-by-step explanation:

WILL BE GIVING BRAINLIEST

Answers

Answer:

5 1/3

Step-by-step explanation:

16 = 3a

a = 16/3 = 5 1/3

Answer:

5 1/3

Step-by-step explanation:

16 = 3a

a = 16/3

= 5 1/3

Hope this helps!

Someone answer ASAP pleaseee

Answers

Answer:

1. (4,2) and (-2,-4)

2. (6,3) and (3,-6)

3. (1,8) and (7,-4)

Step-by-step explanation:

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