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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.

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solniwko [45]

Answer: answer 40.

Step-by-step explanation:

Note : lets make x the missing denominator.

I would take the 4/5 and set it equals to 32/x

we then cross multiply

where it would be 4 * x = 32  * 5

it would then be 4x = 160

we would then divide 160 by 4

x = 160/ 4

and x would be 40

.... therefore the missing denominator is 40.

8 0
3 years ago
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What is the area of the composite figure?
german

Answer:

16 + 6pi cm

Step-by-step explanation:

We have a square of length 4 cm

A = s^2 = 4^2 = 16

We have 3 semi circles

with radius 2

A semi circle has an area of

1/2 pi r^2 = 1/2 pi (2)^2 = 1/2 (4pi) = 2pi

There are 3 of them

3 * 2 pi = 6pi

Add the areas together for the square and the semicircles

16 + 6pi

6 0
3 years ago
Cho f(t)=(t-4)u(t-2)phep bien doi laplace la<br> F(s)=e^-2s/s^2-2e^-2s/s62
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Step-by-step explanation:

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The radius of a circle is 56 cm. Find the circumference of the circle to the nearest tenth. 351.9 cm 9,852.0 cm 112.0 cm 88.0 cm
borishaifa [10]

Alright, lets get started.

We have given a circle which has 56 cm radius.

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Putting the value of pi and r

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Simplifing

Hence the circumference of circle = 351.9 cms

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