MATHEMATICS MIDDLE SCHOOL

Yolanda deposits $300 per month in an account with an APR of 6%, while Zach deposits $3600 at the endeach year in an account with an APR of 6%.
The balance in Yolanda's saving plan after 14 years was $
​

Answers

Answer 1
Answer:

Answer:

Yolanda will have a balance of $34,043.10 in 14 years.

Step-by-step explanation:

This is an Ordinary annuity question where you pick the hint from the equal and recurring monthly payment.

To find the Future value of Yolanda's savings after 14 years, use Future value of annuity formula FVA = (PMT)/(r)[1-(1+r)^(-t) ]\n

PMT= recurring payment = $300

r = discount rate; monthly rate in this case = 6% / 12 =0.5% or 0.005 as a decimal.

t = total duration ; 14 *12 = 168 months

Next, plug in the numbers into the FVA formula;

FVA = (300)/(0.005) [ 1-(1+0.005)^(-168) ]

FVA = 60,000 * 0.5673849

FVA = 34,043.0969

Therefore, Yolanda will have a balance of $34,043.10 in 14 years

Related Questions

Three bags of packing peanuts are used to fill 2 boxes. How many bags of packing peanuts does each box use? Between which two whole numbers does the answer lie?
How would i put this on the line
How do you define each step of this -3(y+3)=2y+3
What do you notice about pears of surfaces of a rectangular prism that have the same areas?Plz hurry up!!!
Lynn used 3/8 cup of flour and 1/3 cup of sugar. Which number is a common denominator for 3/8 and 1/3

There are 40 students in a class and 35% of these students passed their Algebra test. What number of these students passed their test?

Answers

Answer: 14 students

Step-by-step explanation:

Given that Total students in class is 40

35 % passed algebra implies 35/100 × 40/1

=0.035 x 40 = 14 their algebra test.

I hope this is clear, please mark as brainliest answer.

14 students out of 40 passed

Answer:

14

Step-by-step explanation:

35/100 × 40 = 14

a science teacher needs to collect lake water for a lab she is teaching. The lab requires each student to use 4 fluid ounces of lake water. If 68 students are participating, how many pints of lake water will the teacher need to collect

Answers

First you do 68 x 4 = 272. Then, you do 272 divided by 8 because 8 fl. oz. is 1 cup. Your answer is 34 cups. After, you convert 34 cups into 17 pints because there are 2 pints in 1 cup so your answer will be 17 pints. :) Hope it helps.

Please Help Me !!!!!!

1.  Polynomials Add or subtract

(4x2 + 15x – 3) – (–3x2 + 5)  (1 point)

 A.7x2 + 15x – 8

 B.x2 + 12x + 2 

C.x2 + 15x – 8

 D.7x2 + 8 2.

2. Simplify the polynomial.

–3f2 + 4f – 3 + 8f2 + 7f + 1  (1 point) 

 A.5f2 – 11f + 2 

B.11f2 + 11f + 2

 C.5f2 + 11f – 2 

D.–5f2 + 11f – 2 

 3. Add or subtract 

   (2x2 + 6x + 1) + (–7x2 + 2x – 3)  (1 point)

  A.5x2 – 4x – 2

 B.–5x2 + 8x – 2

 C.5x2 – 8x + 2 

D.–9x2 – 8x + 2

 4. Name the coefficients in the polynomial.

    4x2 + 3x –  3 (1 point) 

 A.4, –3, –3

  B.4, 3 

C.4, 3, 3 

D.–4, –3 

5.   How many terms are in the following polynomial?  

6x4 + 3x3 – 2x2 + 15x – 14  (1 point)  A. 5

 B.4 

C.3

 D.2 

6.  In the expression –7x – 5x2 + 5, what is the coefficient of x?  (1 point)  

A.7 

B.5

C.–5

D. -7


  7. Write the expression using scientific notation.

    (2.5 • 104)(4 • 103) (1 point)

A.10 • 107 

B.10 • 108 

C.1 • 108 

D.10 • 1012   

8. Write the expression using a single exponent.

 22 • 28 (1 point)

A.410

B.210

C.416

D.216 

Answers

Answer:

(1) A

(2) C

(3) B

(4) The coefficients are 4,3,-3.

(5) A

(6) D

(7) C

(8) B

Step-by-step explanation:

(1)

The given expression is

(4x^2 + 15x - 3) - (-3x^2 + 5)

Using distributive property.

(4x^2 + 15x - 3) - (-3x^2) -( 5)

4x^2 + 15x - 3 + 3x^2 - 5

On combining like terms.

(4x^2+3x^2) + 15x +(- 3 - 5)

7x^2 + 15x-8

Therefore, the correct option is A.

(2)

The given expression is

-3f^2 + 4f - 3 + 8f^2 + 7f + 1

On combining like terms.

(-3f^2+ 8f^2) +( 4f + 7f )+(- 3  + 1)

5f^2 +11f -2

Therefore, the correct option is C.

(3)

The given expression is

(2x^2 + 6x + 1) + (-7x^2 + 2x - 3)

Combined like terms.

(2x^2-7x^2) + (6x+ 2x) + (1 - 3)

-5x^2 + 8x -2

Therefore, the correct option is B.

(4)

The given expression is

4x^2 + 3x -  3

A number before variable terms are called coefficient of that term.

Therefore, the coefficients are 4,3,-3.

(5)

The given expression is

6x^4 + 3x^3 - 2x^2 + 15x - 14

It this polynomial, the number of terms is 5.

Therefore the correct option is A.

(6)

The given expression is

-7x - 5x^2 + 5

The coefficient to x is -7.

Therefore, the correct option is D.

(7)

The given expression is

(2.5\cdot 10^4)(4\cdot 10^3)

(2.5\cdot 4)\cdot (10^4\cdot 10^3)

Using product property of exponent.

(10)\cdot 10^(4+3)

1\cdot 10^(1+4+3)

1\cdot 10^(8)

Therefore, the correct option is C.

(8)

The given expression is

2^2\cdot 2^8

Using product property of exponent.

2^(2+8)

2^(10)

Therefore, the correct option is B.
1.\n(4x^2+15x-3)-(-3x^2+5)\n=4x^2+15x-3+3x^2-5\n=7x^2+15x-8\leftarrow A.


2.\n-3f^2+4f-3+8f^2+7f+1\n=5f^2+11f-2\leftarrow C.


3.\n(2x^2+6x+1)+(-7x^2+2x-3)\n=2x^2+6x+1-7x^2+2x-3\n=-5x^2+8x-2\leftarrow B.


4.\n4x^2+3x-3\n\{4;\ 3;-3\}


5.\n6x^4+3x^3-2x^2+15x-14\n\{6;\ 3;-2;\ 15;-14\}\to5\leftarrow A.


6.\n-7x-5x^2+5\n\{-7\}\leftarrow D.


7.\n(2.5\cdot10^4)(4\cdot10^3)=2.5\cdot4\cdot10^(4+3)=10\cdot10^7\n=10^(1+7)=10^8=1\cdot10^8\leftarrow C.


8.\n2^2\cdot2^8=2^(2+8)=2^(10)\leftarrow B.

Jesse and Amir were assigned the same book to read for class. Jesse startedreading on Saturday, and he is reading 30 pages a day. Amir didn't start until
Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will
they each have read?
Let x represent the number of days Amir has been reading
Fill in the blanks to solve this problem as a system of equations.
304 S QUESTIONS
The system of equations that models this situation is
Select
Select
Using substitution to solve this system, the equation you will solve is
Select
The solution to the system of equations is
Select..
V
it will take emir
Select
days to caton up to Jesse
At thatt me each boy winave read
Select
pages

Answers

Answer:

he needs to catch up by 5 pages

Step-by-step explanation:

Answer:

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

Step-by-step explanation:

(Please and thank you! I stink at Math!)Identify the unit rate shown in the graph.

A. 15 gallons per mile
B. 8 miles per gallon
C. 15 miles per gallon
D. 8 gallons per mile

Answers

For every 1 mile across you go, you go 15 gallons up. Therefore, it is A, 15 gallons per mile

You jog 2 miles every 15 minutes.How much do you jog per minute?Write you answer as a fraction in simplest form.

Answers

you divide 2 by 15, you get 0.1333 (the three goes on and on) then you conver it into a fraction, its 2/15. Hope this helps :)
This is a simple question, you just divide 2 by 15 which equals about 13/100
Other Questions
Malena swam 918 meters in 3 days.If she swam the same distance each day . How far did Melanie swim in one day?
the pizza slice served at O'Connor's pizza place are 1/4 of a whole pizza. There are three pizzas ready to be served. 14 children come in for lunch. Is there enough pizza for every child? please explain your thinking, LOL PLZ HELP WITH MY MATH HOMWORK? THX 12 POINTS
Rewrite the following equation in slope-intercept form.7x + 2y = -14Write your answer using integers, proper fractions, and improper fractions in simplest form.
What is equivelint in ratio