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
Stella [2.4K]
3 years ago
9

How much more interest will Maria receive if she invests $1,000 for one year at x percent annual interest, compounded semiannual

ly, than if she invests $1,000 for one year at x percent annual interest, compounded annually?
Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Answer:

  $0.025x² . . . where x is a number of percentage points

Step-by-step explanation:

The multiplier for semi-annual compounding will be ...

  (1 + x/2)² = 1 + x + x²/4

The multiplier for annual compounding will be ...

  1 + x

The multiplier for semiannual compounding is greater by ...

  (1 + x + x²/4) - (1 + x) = x²/4

Maria's interest will be greater by $1000×(x²/4) = $250x², where x is a decimal fraction.

If x is a percent value, as in x = 6 when x percent = 6%, then the difference amount is ...

  $250·(x/100)² = $0.025x² . . . where x is a number of percentage points

_____

<u>Example</u>:

For x percent = 6%, the difference in interest earned on $1000 for one year is $0.025×6² = $0.90.

You might be interested in
The graph shows the price, in dollars, of different numbers of muffins at David's store. The table shows the price, in dollars,
mash [69]
It should be $4 sorry if it is wrongbut i pretty sure that is he answer

8 0
3 years ago
Read 2 more answers
How do I solve this word problem?
oksian1 [2.3K]
I think it would would be 42g.
3 0
2 years ago
Anita and Joelle bowled together and their combined total score for one game was 425 points. Anita’s score was 40 less than twic
wariber [46]
Call Anita's score "y" and Joelle's score "x".

1) "<span>their combined total score for one game was 425 points"
</span>Therefore x+y=425

2)"Anita’s score was 40 less than twice Joelle’s." 
Therefore y=2x-40

Substitute:
x+2x-40=425

Solve:
3x=465
x=155

Backsubstitute:
y=2x-40
y=2(155)-40
y=270

6 0
3 years ago
Can someone please help me??
Svet_ta [14]

Answer:

A= 153.86

A=49\pi

Step-by-step explanation:

You again....

4 0
3 years ago
Read 2 more answers
A steel pipe is being carried down a hallway 9 ft wide. At the end of the hall there is a right-angled turn into a narrower hall
Rudiy27

Answer:

21.62m

Step-by-step explanation:

first draw the the pipe

second you need know wich is the angle between the pipe and the corner

β=Tan^-1(6/9)=33.7

find the components using tow triangles

a=9/cos(33.7)=10.81m

b=6/sen(33.7)=10.81m

finally sum the leghts

L=10.81+10.81=21.62mm

attached procedure

8 0
3 years ago
Other questions:
  • You’ve already earned $48 washing cars and plan to earn $12 for each additional car you wash. Write an equation to represent d,
    11·2 answers
  • 5 times the sum of p and r
    14·2 answers
  • Eli needs pieces of ribbon cut into strips that are 2 1/2 feet long. The roll of ribbon is 7 1/2 feet long. Which expression cou
    8·1 answer
  • Find the range of each function given the domain; g(m)=m^2;(-2,0,2)
    10·1 answer
  • A forest ranger sights a fire directly to the south. A second​ ranger, 7 miles east of the first​ ranger, also sights the fire.
    14·1 answer
  • Find the quotient of `((5+2i)(6-4i))/((2+i))`, and express it in the simplest form.
    15·1 answer
  • in triangle ABC, the sum of the measures of angle A and angle B is 47 degrees. what is the measure of angle C?
    8·1 answer
  • PLEASE HELP I BEEN STUCK ON THIS FOR 20 MINS , 87⋅?=9,526
    13·1 answer
  • What is 12.8 rounded to the nearest hundred
    8·1 answer
  • Help!!!!!!!!!!!!!!!!!!!!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!