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N76 [4]
3 years ago
7

What is the final amount of $70.00 that is put into a savings account with 16% interest rate for 25 years, if the interest is co

mpounded 4 times per year?
Mathematics
1 answer:
grigory [225]3 years ago
8 0
<span>here is the compound interest formula: A=P(1+<span>rn</span><span>)<span>nt
A= amount at maturity</span></span></span> P = principal amount = $70
r = Annual interest rate in decimal = 16% = 0.16
n = compounding period (compounded how many times a year) = 4
t = years invested = 25
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The semicircle shown at left has center X and diameter W Z. The radius XY of the semicircle has length 2. The chord Y Z has leng
gladu [14]

{\bold{\red{\huge{\mathbb{QUESTION}}}}}

The semicircle shown at left has center X and diameter W Z. The radius XY of the semicircle has length 2. The chord Y Z has length 2. What is the area of the shaded sector formed by obtuse angle WXY?

\bold{ \red{\star{\blue{GIVEN }}}}

RADIUS = 2

CHORD = 2

RADIUS --> XY , XZ , WX

( BEZ THEY TOUCH CIRCUMFERENCE OF THE CIRCLES AFTER STARTING FROM CENTRE OF THE CIRCLE)

\bold{\blue{\star{\red{TO \:  \: FIND}}}}

THE AREA OF THE SHADED SECTOR FORMED BY OBTUSE ANGLE WXY.

\bold{  \green{ \star{ \orange{FORMULA \:  USED}}}}

AREA COVERED BY THE ANGLE IN A SEMI SPHERE

AREA = ANGLE   \: \: IN  \: \:  RADIAN  \times RADIUS

\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}

Total Area Of The Semi Sphere:-

AREA =   \pi \times radius  \\  \\ AREA = \pi \times 2 = 2\pi

Area Under Unshaded Part .

Given a triangle with each side 2 units.

This proves that it's is a equilateral triangle which means it's all angles r of 60° or π/3 Radian

So AREA :-

AREA =  \frac{\pi}{3}  \times radius \\  \\ AREA =  \frac{\pi}{3}  \times 2 \\  \\ AREA =  \frac{2\pi}{3}

\green{Now:- } \\  \green{ \: Area  \: Under \:  Unshaded \:  Part }

Total Area - Area Under Unshaded Part

Area= 2\pi -  \frac{2\pi}{3}  \\ Area =  \frac{6\pi - 2\pi}{3}   \\ Area =  \frac{4\pi}{3}  \:  \: ans

\red \star{Thanks \:  And  \: Brainlist}  \blue\star \\  \green\star  If \:  U  \: Liked \:  My  \: Answer \purple \star

5 0
2 years ago
Help!!!!! Thank you!!!!
mart [117]

Answer:

97

Step-by-step explanation:

5 * 85 - 4* 82 = 97

8 0
3 years ago
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Find a vector function that represents the curve of intersection ofthe two surfaces. The cylinder
Readme [11.4K]

Answer:

here'

Step-by-step explanation:

3 0
3 years ago
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B) What should be subtracted from -7mn + 2m² + 3n² to get<br>m²+ 2mn + n²?<br>please help​
Hitman42 [59]

Answer: m²-9mn+2n²

Step-by-step explanation: make use of BODMAS strategy. Let the unknown be x.

-7mn+2m²+3n²-x= m²+2mn+n². Since we are concerned about getting the unknown,let's try to collect the like terms.

-7mn+2m²+3n²-(m²+2mn+n²)= x

-7mn+2m²+3n²-m²-2mn-n²= x

-7mn-2mn+2m²-m²+3n²-n²=x

-9mn+m²+2mn= x

X= m²-9mn+2n²

6 0
3 years ago
You have a triangle with one side length of 5 and side B
Anna [14]

Answer:

13.9283882772

Step-by-step explanation:

Pythagorean Theroem, so 5^2+13^2=194

Under square root 194=13.9283882772

Hope I helped!

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2 years ago
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