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Rom4ik [11]
3 years ago
8

What is the angle in the diagram below?

Mathematics
1 answer:
marishachu [46]3 years ago
6 0

Answer:

148°

Step-by-step explanation:

x = 180 - 32 = 148°

(Supplementary angles)

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Capital Value An investment produces a perpetual stream of income with a flow rate of
Elodia [21]

Answer:

$30,000

Step-by-step explanation:

The capital value is given by

\int_{0}^{\infty} R(t) e^{-r t} dt

where R(t) is annual rate

r - annual rate of interest

capital value = \int_{0}^{\infty} 1200 e^{0.03t} e^{-0.07 t} dt

                      = lim at b tend to infinity\int_{0}^{b} 1200 e^{0.03t} dt

                      =lim at b tend to infinity \left [ \frac{1200}{-0.04} e^{-0.04 t} \right ]_0^b

-30,000 { lim at b tend to inifinity(e^{-0.04 b) = e^0]

Asb\rightarrow \infty,  e^{-0.04 b} \rightarrow 0

\int_{0}^{\infty} 1200 e^{0.03t} e^{-0.07 t} dt = -30,000(0 -1) =$30,000

6 0
4 years ago
Determine 7th term in the geometric sequence whose first term is 5 and whose common ratio is 2.
Sedbober [7]

Answer: 320

<u>Step-by-step explanation:</u>

a_n=a_1(r)^{n-1}\quad \text{where}\ a_1\ \text{is the first term, r is the ratio, n is the term}

a_7=5(2)^{7-1}

   =5(2)^{6}

   =5(64)}

   =320

8 0
3 years ago
Read 2 more answers
What phrase in the problem indicates that estimated product is being asked for?
shepuryov [24]

Answer:

571 x 32 = 18,272

Step-by-step explanation:

Okay, multiplication was always a favorite.

Think of this, 571 thirty-two times.

5 0
3 years ago
Determine the solution to each of the following single variable equations.
Neporo4naja [7]
? There’s no equations
8 0
3 years ago
23x +5y−2, when x=6 and y=3.
zhenek [66]

Answer:

151

Step-by-step explanation:

Plug in 23(6)+5(3)-2

Simplify 138+15-2

Solve 153-2

151

8 0
3 years ago
Read 2 more answers
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