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Veronika [31]
3 years ago
11

Question 4

Mathematics
2 answers:
DENIUS [597]3 years ago
7 0

Answer:

13th term

Step-by-step explanation:

41 = 7n - 50

41 + 50 = 7n

91 = 7n

7n = 91

n = 91/7

n = 13

13th term has value 41

shutvik [7]3 years ago
7 0

Answer:

n = 13

Step-by-step explanation:

7n - 50 = 41

Add 50 to both sides

7n = 41 + 50

7n = 91

Divide both sides by 7

n = 91/7

n = 13

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The half-life of cesium-137 is 30 years. Suppose we have a
VMariaS [17]
(a) If y(t) is the mass (in mg) remaining after t years, then y(t) = y(0) e^{kt}=100e^{kt}.

y(30) = 100 e^{30k} = \frac{1}{2}(100) \implies e^{30k} = \frac{1}{2} \implies k = -(\ln 2) /30 \implies \\ \\
y(t) = 100e^{-(\ln 2)t/30} = 100 \cdot 2^{-t/30}

(b) y(100) = 100 \cdot 2^{-100/30} \approx \text{9.92 mg}

(c)
100 e^{- (\ln 2)t/30} = 1\ \implies\ -(\ln 2) t / 30 = \ln \frac{1}{100}\ \implies\ \\ \\
t = -30 \frac{\ln 0.01}{\ln 2} \approx \text{199.3 years}
 
3 0
3 years ago
Reggie Means invested part of $31,000 in municipal bonds that earn 7.5% annual simple interest and the remainder of the money in
insens350 [35]

Answer:

Principal Invested in Municipal Bonds is $16,000

Principal Invested in Corporate Bonds is $15,000

Step-by-step explanation:

If;

Principal Invested in municipal bonds = a

Principal Invested in corporate bonds = b

then we have;

a + b = $31,000 --------------------------------Equation 1

0.075a + 0.085b = $2,475  ---------------Equation 2

From equation 1 we have;

a = 31,000 - b

By putting the values of a in Equation 2 we get;

0.075 (31,000 - b) + 0.085b = 2,475

2,325 - 0.075b + 0.085b = 2,475

0.01b = 150

b = $15,000

By putting the values of b in equation 1 we get;

a = $16,000

4 0
3 years ago
I have 6 thousands 12 tens 9 hundreds 10 ones and 3 tenths what number am i
mylen [45]
7,030.3 I think... the way you typed it was kinda confusing though, 3 tenths? as in .3? if so, this is your answer

5 0
3 years ago
Read 2 more answers
The straight lines passing through these pairs of points (2, 5) and (4, 7) ,(−4, 2) and (1, 7) are,
Taya2010 [7]

Answer:

The line passes (2, 5) and (4, 7) has slope:

S = (7 - 5)/(4 - 2) = 2/2 = 1

The line passes (1, 7) and (-4, 2) has slope:

S = (2 - 7)/(-4 - 4) = 5/-5 = -1

The multiplication of two slope is  1 x (-1) = -1

=> Two lines are perpendicular

Hope this helps!

:)

5 0
3 years ago
Read 2 more answers
PLEASEE HELP HURRYYYYYY PLEASE
olga2289 [7]

Answer:

12.5

Step-by-step explanation:

We can use ratios to solve

4        4+6

---- = ----------

5         AC

4        10

---- = ----------

5         AC

Using cross products

4 * AC = 5*10

4AC = 50

Divide by 4

AC = 50/4

AC =12.5

5 0
2 years ago
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