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anastassius [24]
3 years ago
14

1. write a ratio and a percent for the shaded are

Mathematics
1 answer:
vitfil [10]3 years ago
4 0
D. 3/10 is the answer
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30PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Yuliya22 [10]

1)

a)

P = 1500, r = 4% = 0.04, n = 5

A = 1500 (1+0.04)^5= 1824.98

He shall have $1824.98 in his account after 5 years

b)

Here P = 1500 , r = 4% = 0.04, n = 5 but simple interest

So

I=PRn= 1500(.04)(5)=300

Interest = $300

Amount in his account after 5 years = 1500 + 300 = $1800

c)

First one shall yield a better income and by 1824.98-1800 = $24.98

2)

a)

P= $2000, r = 8% = 0.08 so quaterly = 0.08/4 = 0.02, n = 1 year

A = P(1+r)^{4n}  =2000(1+0.02)^4 =2164.86

There shall be $2164.86 after 1 year

b)

P = 2000, r= 8%=0.08 and n = 1 for simple interest

I=PRn = 2000(0.08)(1)=160

Amount after 1 year shall be 2000 + 160= $2160

c)

First option is a better option.

The difference is 2164.86 - 2160 = $4.86

3)

a)

Bank A

P= 3200, r = 3.5%= 0.035, n = 3 years for simple interest

I =3200(0.035)(3)=336

Interest earned in Bank A = $336

b)

Bank B

P = 3200, r = 3.4% = 0.034, n= 3

A= P(1+r)^n=3200(1+0.034)^3=3537.62

Interest earned = 3537.62 - 3200 = $337.62

c)

Tyler must choose Bank B as it fetches greater interest

d)

The difference in interest = 337.62 - 336 = $1.62


4 0
3 years ago
How many books were read in all? <br>A. 150 <br>B.156 <br>C. 158 <br>D. 160 <br>E. 162​
Anarel [89]

Answer:

D: 160

Step-by-step explanation:

Fifth graders read 68, which is easy to see.  Fourth graders read between 48 and 52, the bar appears to be directly in the middle of the two lines, so we say they read 50.  Third graders read between 40 and 44, again the bar appears to be directly in the middle so we say they read 42.

42+50+68=160

8 0
3 years ago
Read 2 more answers
A circular patio has a radius of 4 yards. The patio is expanded so that the radius increases by 2 yards.
Alex787 [66]

Answer:

50.29 yards^2

113.14 yards^2

62.85 yards^2

Step-by-step explanation:

Area of a circle = πr²

π = pi = 22/7

r = radius

original area

(22/7) x 4² = 50.29 yards²

New area

radius = 4 + 2 = 6

(22/7) x 6² = 113.14 yards²

Increase in the area of the patio = 113.14 yards² - 50.29 yards²=62.85

4 0
3 years ago
Evaluate each function.<br> 15) f(n)= n° + 3n?; Find f(-4a²)
coldgirl [10]

Answer:

Step-by-step explanation:

6 0
3 years ago
Select the property of equality used to arrive at the conclusion. if 1/3 x=5 then x=15 the multiplication property of equality t
REY [17]

If we take both sides of the equation \frac{1}{3} x=5 and <em>multiply either expression by 3</em>, the equality becomes

3\cdot\frac{1}{3}x=3\cdot5\\x=15

Multiplication of both sides of an equality by the same number keeps the equality true, and we call this property the multiplication property of equality.

3 0
3 years ago
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