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3 years ago

7

Emma was building a tree house in the park he had a large piece of wood that was 15 5/6 long that he cut into 6 equal pieces wha

t was the length of each piece

1 answer:

Anestetic [448]3 years ago

3 0

2 1/12 all you do is divide 15 5/6 by 6 and you get how long each piece of wood is.

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A lady walks into a cafe. She order four items. a coffe for 3.28, a bagel for 1.27, a juice for 0.56 and a muffin for 2.33. How

malfutka [58]

She spent $7.44 because 3.28 + 1.27 + 0.56 + 2.33 = 7.44

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2 years ago

A rectangular prism made of wood has a length of 10 centimeters, a width of 8 centimeters, and a height of 12 centimeters. A rec

lukranit [14]

Answer:

Prism volume = lbh

= 10*8*12

= 960cm^3

Note: I'm assuming the hole was cut right through it...

Hole volume = lbh

= 2*3*12

= 72cm^3

Final volume = 960 - 72 = 888cm^3

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3 years ago

A:1 hour 37 minutes <br> B:2 hours 37 minutes <br> C:2 hours 23 minutes <br> D:1 hour 23 minutes

Y_Kistochka [10]

The correct answer is 1 hour 37

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3 years ago

Write the equation of the line perpendicular to + = that passes through (−,−). Write your answer in slope-intercept form.

Ad libitum [116K]

Answer:

y = 0.25x - 5

Step-by-step explanation:

Given line is 4x + y = 3

or y = -4x + 3

Comparing this with slope-intercept form y = mx + c :

slope of this line is -4

Product of slopes of perpendicular lines = -1

⇒ slope of a line perpendicular to this is $\frac{-1}{-4}$ = $\frac{1}{4}$ = 0.25

This line also passes through the point (-4,-6)

The equation of a line having slope m and passing through a point (h,k) is

y - k = m(x - h)

⇒ equation of line perpendicular to given line is y - (-6) = 0.25×{x - (-4)}

⇒ y + 6 = 0.25×(x + 4)

⇒ y + 6 = 0.25x + 1

⇒ <u>y = 0.25x - 5</u>

This is in the slope-intercept form y = mx + c with slope m = 0.25 and y-intercept (0,-5)

6 0

4 years ago

Your bank account is sitting on $14,000. You started with a principal balance of $12,500. If the interest rate was 4.5% compound

Simora [160]

Answer:

$t=2.5\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\ P=\$12,500\\P=\$14,000\\ r=4.5\%=4.5/100=0.045$

substitute in the formula above and solve for t

$14,000=12,500(e)^{0.045t}$

Simplify

$14,000/12,500=(e)^{0.045t}$

$1.12=(e)^{0.045t}$

Apply ln both sides

$ln(1.12)=ln[(e)^{0.045t}]$

$ln(1.12)=(0.045t)ln(e)$

Remember that

$ln(e)=1$

so

$ln(1.12)=(0.045t)$

$t=ln(1.12)/(0.045)$

$t=2.5\ years$

3 0

4 years ago