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3 years ago

7

A 12-foot ladder leans against the side of a house with its base 3 feet from the house. use the pythagorean theorem to approxima

te how high the ladder reaches up the side of the house. round your answer to the nearest hundredth.

1 answer:

sashaice [31]3 years ago

7 0

It should be around the square root of 135. Around 11 and 14/23

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Help me for 1 through 6 pls I WANT TO FINISH ON TIME THANKS YOU

umka2103 [35]

1) put a bar over the last 4
2) put a bar over the last 3 numbers (198)
3) Put a bar over the last 2 numbers (39)
4)0.818181
5)0.199999
6)0.36743674

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4 0

3 years ago

A line passes through the point (8. -8) and has a slope of

VLD [36.1K]

Answer:

y = 5/4x - 18

Step-by-step explanation:

The slope, intercept form of a straight line is;

y = bx + c

Where, y = slope, given as 5/4

(x, y) is given as ; (8, - 8)

Hence, we need to obtain the value of c, which is the intercept.

x = 8 ; y = - 8

-8 = 5/4x + c

-8 = 5/4(8) + c

-8 = 10 + c

-8 - 10 = c

-18 = c

Hence, equation becomes ;

y = 5/4x - 18

8 0

3 years ago

To offer scholarships to children of employees, a company invests $13,000 at the end of every three months in an annuity that pa

Andreyy89

Annuities

Suppose a fixed investment R is done every fixed number of periods m per year for t years at a constant rate r.

a.

The final value of the investments plus the interest is calculated as follows:

$FV=R\cdot\frac{(1+i)^n-1}{i}$

Where:

n = number of total periods of the investment.

n = m*t

$i=\frac{r}{m}$

The company invests R = $13,000 for t = 10 years at the end of every quarter (3 months), thus m = 4. The interest rate is r = 9% = 0.09.

The interest rate compounds quarterly.

Calculate:

n = 4*10 = 40

i = 0.09 / 4 = 0.0225

$\begin{gathered} FV=\$13,000\cdot\frac{(1+0.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{(1.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{2.435188965-1}{0.0225} \\ FV=\operatorname{\$}13,000\cdot63.786176 \end{gathered}$

Calculating:

FV = $829,220

The company will have $829,220 in scholarship funds

b. The interest can be found by subtracting the final value and the initial value. We have to calculate the latter:

$\begin{gathered} A=FV(1+i)^{-n} \\ A=\$829,220(1.0225)^{-40} \\ A=\$340,516 \end{gathered}$

Thus, the interest is:

welcI = $829,220 - $340,516

I = $488,704

The interest is $488,704

5 0

1 year ago

On Melissa's 6th birthday, she gets a $5000 CD that earns 3% interest, compounded . If the CD matures on her 10th birthday

amid [387]

Answer:

$5,632.45

Step-by-step explanation:

Assuming it is compounded semiannually, A(t) = P(1 + (r/n))^(n*t)

A(4) = 5000*(1 + (0.03/2))^(2*4)

A(4) = 5,000*(1.015)^8

A(4) = 5,000*1.12649

A(4) = $5,632.45

3 0

2 years ago

How many models of 100 do you need to model 2,700

Mariana [72]

Answer:

27

Step-by-step explanation:

well 20 models of 100's=2,000

so now we have 700 left over

so to get to 700 how many 100's does it take=7

so put those 2 numbers together 27

Hope it helps have a great day :}

5 0

2 years ago