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Mamont248 [21]
3 years ago
12

Step by step to get answer

Mathematics
1 answer:
ELEN [110]3 years ago
3 0

Use PEMDAS

Parentheses

Exponents

Multiplication (L-R)

Division (L-R)

Addition (L-R)

Subtraction (L-R)

(30-9+3)+9

(21+3)+9

24+9

33

33 is your answer

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On February 1, 1977, John deposited $2250 into a savings account paying 5.76% interest, compounded quarterly. If he hasn't made
Travka [436]
John's effective annual rate is about
  (1 +.0576/4)^4 -1 ≈ 5.8856%
According to the "rule of 72", John's money will have doubled in
  72/5.8856 = 12.23 years

John's balance will be $4500 in 1989.

_____
Since you're only concerned with the year (not the month), you don't actually need to determine the effective annual rate. The given rate of 5.76% will tell you 72/5.76 = 12.5 years. The actual doubling time is closer to 12.12 years, so using the effective rate gives results that are closer, but "good enough" is good enough in this case.
5 0
3 years ago
The length of 7 (the minor arc) is 15 cm. What is the circumference of Z?
Firlakuza [10]

Answer:450 cm

Step-by-step explanation:

5 0
3 years ago
3 1/3 (2 1/5 x−4 2/3 )−5 5/6 =0
cestrela7 [59]
3 1/3(2 1/5x-4 2/3)-5 5/6=0
Since you can't subtract 2 1/5x and 4 2/3 together you would use the next step in the order of operations which is multiplication.
(3 1/3)(2 1/5x)=(10/3)(11/5x)=110/15x
(3 1/3)(4 2/3)=(10/3)(14/3)=140/9
7 5/15x - 15 5/9
Then you would subtract 7 5/15x - 15 5/9 with 5 5/6.
7 5/15x -15 5/9 - 5 5/6=
15 5/9=15 10/18
5 5/6=5 15/18
7 5/15x - 15 10/18 - 5 15/18=
7 5/15x - 21 7/18=0
Then you would try to solve for x by isolating it on one side.
7 5/15x=21 7/18
110/15x=385/18
x=(385/18)(15/110)
x=5775/1980
x= 2 1815/1980
x= 2 363/396
x= 2 121/132
x= 2 11/12
I hope you understood!!!!
=)

5 0
3 years ago
What is the sum of the angles of a 37-gon
densk [106]
The answer is 6300 degrees
4 0
3 years ago
The midpoint of AB is M(-4,-3). If the coordinates of A are (-1, -2), what
marysya [2.9K]

Answer:

B(-7,-4)

Step-by-step explanation:

Let the co-ordinates of B be (x_{2},y_{2})

If a point M(x,y) is a mid-point of line segment AB with A(x_{1},y_{1}) and  B(x_{2},y_{2}), then:

x=\frac{x_{1}+x_{2}}{2}\\y=\frac{y_{1}+y_{2}}{2}

Here, M(x,y) is M(-4,-3), A(x_{1},y_{1}) is A(-1,-2).

So, x = -4, y = -3, x_{1} = -1, y_{1}=-2

Plug in the formula and solve for unknowns.

x=\frac{x_{1}+x_{2}}{2}\\-4=\frac{-1+x_{2}}{2}\\x_{2}=-8+1=-7\\\\y=\frac{y_{1}+y_{2}}{2}\\-3=\frac{-2+y_{2}}{2}\\y_{2}=-6+2=-4

Therefore, the co-ordinates of point B are B(-7,-4)

4 0
3 years ago
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