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3 years ago

10x-9y=24 Y=x-2 X= Y=

Mathematics

2 answers:

ankoles [38]3 years ago

6 0

Answer:

Step-by-step explanation:

10x-9y=24....(1)

y=x-2...(2)

Substitute (2) into (1)

10x-9(x-2)=24

10x-9x+18=24

x+18=24

Substrate 18 from both sides

x=6

Substitute the value of x in (2)

y=6-2

y=4

When x=6,y=4

Korvikt [17]3 years ago

6 0

X equals 6 and Y equals four

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3 years ago

What is $2.30 divided by 27?

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3 years ago

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

Pls answer 31 and 32. Show all your work.

Veronika [31]

31. diameter is twice radius. volume cylinder = πr²h
112π = π(7)²h
112π/(49π) = h
16/7 = h
32. volume of sphere is (4/3)πr³
if r = 1 the volume just = (4/3)π

both answers are C

5 0

3 years ago