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2 years ago

5

one of the same side exterior angles of two parallel lines is 20 degrees less than the other same side exterior angle find the m

easures of the two angles (pls help i will give 25 points)

1 answer:

Dmitry_Shevchenko [17]2 years ago

8 0

Answer:

25 I am not a fan of the gas increases when the piston is pushed in the next war

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Destiny is planning a ice cream social. I local park right outside shelter for $40 in charges nine dollars per gas for ice cream

zysi [14]

Answer:

48

Step-by-step explanation:

8 0

2 years ago

Determine whether or not the vector field is conservative. if it is, find a function f such that f = ∇f. if the vector field is

amm1812

$\dfrac{\partial f}{\partial x}=3y^2z^3\implies f(x,y,z)=3xy^2z^3+g(y,z)$

$\dfrac{\partial f}{\partial y}=6xyz^3+\dfrac{\partial g}{\partial y}=6xyz^3$
$\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

$\dfrac{\partial f}{\partial z}=9xy^2z^2+\dfrac{\mathrm dh}{\mathrm dz}=9xy^2z^2$
$\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

$\implies f(x,y,z)=3xy^2z^3+C$

The potential function exists, so $\mathbf f$ is indeed conservative.

7 0

3 years ago

Investigate the difference between compounding annually and simple interest

Gennadij [26K]

Step-by-step explanation:

Simple interest formula

$A = P (1 + rt)$

Compound interest formula

$A = P(1 + \frac{r}{n})^{nt}$

a.

$A = 5000 (1 + 0.025*1)\\A=5000(1.025)\\A=5125$

Simple interest is $125

b

. $A = 5000 (1 + \frac{0.025}{1})^{1*1} \\A=5000(1.025)\\A= 5125$

Compound interest is $125

c. the result for both a and b are the same

d.

$A = 5000 (1 + 0.025*3) \\A=5000(1.075) \\A=5375$

the simple interest is $375

e

. $A = 5000 (1 + \frac{0.025}{1})^{1*3}] \\A=5000(1.025)^3 \\A=5000(1.077)\\A= 5385$

the compound interest is $385

f. the result compared, compound interest is $10 more than simple interest

g.

$A = 5000 (1 + 0.02*6) \\A=5000(1.12) \\A=5600$

the simple interest is $600

h.

$A = 5000 (1 + \frac{0.02}{1})^{1*6}] \\A=5000(1.12)^6 \\A=5000(1.9738) \\A= 9869$

the compound interest is $4869

i. the result from g and h, h is over 8 times bigger than g.

j. interest compound annually is not the same as simple interest, only for the case of a and b seeing that it is for 1 year. but for 2years and above there is difference as seen in c to h

6 0

2 years ago

A scale on a blue print drawing of a house shows that 6 centimeters represents 3 meters. What number of centimeters on the blue

Tema [17]

Answer:

54 cm

Step-by-step explanation:

Measures are proportional on a scale drawing:

drawing measure : actual measure = 6 cm : 3 m = x : 27 m

The value on the right of the x ratio, 27, is 9 times 3, so the value of x will be 9 times 6 cm.

54 cm on the blueprint represents an actual distance of 27 meters.

5 0

2 years ago

TV for $500 and the tax is 5.5 what is the original price of the TV

crimeas [40]

Answer:

(since there is no percentage given i will provide two alternate answers one including percentage and one exclusive of percentage)

cost of TV inclusive of tax = $500

we first multiply the tax with total amount

$500 * 5.5

= $500 * 55/10

=$500 * 11/2

= $250 * 11

=$2750

original price of TV = $2750

alternate answer assuming there is a percentage sign with 5.5

the amount of tax on TV is 5.5%

we first multiply the percentage of tax with total amount

$500 * 5.5/100

=$27.5

original price of TV = $500 - $27.5

= $472.5

Step-by-step explanation:

6 0

3 years ago