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Novosadov [1.4K]
3 years ago
8

The function f(x) is defined as follows:

Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0

Answer:

f(-3)=-8\\f(2)=4

Step-by-step explanation:

In order to find the values of a piecewise function, we first have to determine which piece we are using.

For f(-3), x=-3. This means that we need to use 3x+1 as -3\leq 0

f(-3)=3(-3)+1\\\\f(-3)=-9+1\\\\f(-3)=-8

For f(2), x=2. This means that we need to use f(x)=4 as x is equal to 2.

f(x)=4

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The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
Kryger [21]

Answer:

a) P= $56,972.5

b) A=$1,26,792.3

Step-by-step explanation:

Given Data:

Interest rate=r= 0.08  per year

No. of years=t=10

Rate of continuous money flow is given by the function

f(t)=2000

a) to find the present value of money

P=\int\limits^n_0 {f(t)e^{-rt} } \, dt

Put f(t)=2000 and n=10 years and r=0.08

P=\int\limits^n_0 {2000e^{-0.08t} } \, dt

Now integrate

P= {2000(\frac{e^{-0.08t}}{-0.08} )

P= -\frac{2000}{0.08} (e^{-0.08*10}-e^{-0.08*0})

P= -\frac{2000}{0.08} (e^{-0.8}-e^{0})

P= -\frac{2000}{0.08} (0.4493-2.7282)

P= -\frac{2000}{0.08} (-2.2789)

P= -25000(-2.2789)

P= $56972.5

(b) to find the accumulated amount of money at t=10

A=P(e^{rt} )

Where P is the present worth already calculated in part a

A=56972.5(e^{0.08*10} )

A=56972.5(e^{0.8} )

A=56972.5(2.2255 )

A=$1,26,792.3

5 0
3 years ago
Does anyone have any idea how to solve this problem?
Katena32 [7]

Answer:

$1350

Step-by-step explanation:

(150 x 30) + (300 x 45) = 18000

18000 x 0.075 = 1350

7 0
3 years ago
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