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3 years ago

Write an equation to represent the function.

Mathematics

1 answer:

leva [86]3 years ago

4 0

Answer:

Step-by-step explain

the answer is c

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What is the distance between points -3,6 and 12, 6

ser-zykov [4K]

Answer:

15 units

Step-by-step explanation:

hope i helped!

3 0

3 years ago

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Carys calculates the total amount EEE, in dollars, that she earns for working hhh hours using the equation E=10hE=10hE, equals,

timurjin [86]

Answer:

$10 per hour
0.1 hours

Step-by-step explanation:

To find Carys' earnings in one hour, fill in h=1 in the formula:

E = 10·1 = 10

Carys earns 10 dollars per hour.

To find the number of hours required to earn 1 dollar, fill in E=1 in the formula:

1 = 10h

0.1 = h . . . . . divide by 10

It takes 0.1 hours for Carys to earn 1 dollar.

4 0

3 years ago

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What type of line is PQ? A. altitude B. angle bisector C. side bisector D. median

frosja888 [35]

Answer:

altitude

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8 0

3 years ago

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When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100

ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the future value FV.

In order to see the rule of formation, let's see the value (in $) for the first few years

End of year 0

1,000

End of year 1(capital + interest + new deposit)

1,000*(1.09)+10

End of year 2 (capital + interest + new deposit)

(1,000*(1.09)+10)*1.09 +10 =

$\bf 1,000*(1.09)^2+10(1+1.09)$

End of year 3 (capital + interest + new deposit)

$\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)$

and we can see that at the end of year 50, the future value is

$\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}$

The sum

$\bf 1+1.09+(1.09)^2+...+(1.09)^{49}$

is the sum of a geometric sequence with common ratio 1.09 and is equal to

$\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356$

and the future value is then

$\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564$

The present value PV is

$\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62$

rounded to the nearest hundredth.

5 0

3 years ago

Solve for x. x3 =−125

mafiozo [28]

Answer:

x = -5 or x = 5 (-1)^(1/3) or x = -5 (-1)^(2/3)

Step-by-step explanation:

Solve for x:

x^3 = -125

Taking cube roots gives 5 (-1)^(1/3) times the third roots of unity:

Answer: x = -5 or x = 5 (-1)^(1/3) or x = -5 (-1)^(2/3)

6 0

4 years ago