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2 years ago

What is the portion if the base is 450 and the rate is 19%

Mathematics

1 answer:

katen-ka-za [31]2 years ago

8 0

Answer:

portion = 85.50

Step-by-step explanation:

$Rate = (\frac{Portion}{Base})*100%$

Rate = 19%, Base = 450

$19 = \frac{portion}{450} \times 100\\\\19 \times 450 = portion \times 100\\\\\frac{8550}{100} = portion \\\\portion = 85.50$

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The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe

egoroff_w [7]

Answer:

6 rolls because the total perimeter is 102 ft and five rolls is only 100 feet. So she needs 6 rolls.

Step-by-step explanation:

to find perimeter, add up all the side lengths.

so 15*4 (it's easier than 15+15+15...)

60 ft.

now we have to use Pythagorean's Theorum to find corner to corner.

so $a^2+b^2=c^2$

we have a and b

$15^2+15^2=c^2$

do the math...

225+225= 450

square root of 450=

21.213

double that because it's used twice (corner to corner and corner to corner)

42.426

now add it all up

42.426 + 60 = 102.426

we can round

102

20*5 = 100

so she needs 6

MY ORIGINAL ERROR WAS 5, BUT 5 TIMES 20 IS ONLY 80, SO THEREFORE 6 IS REQUIRED SO THERE IS ENOUGH TO COVER 102.

6 0

2 years ago

A town has a population of 12000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole n

Setler79 [48]

Answer:

15,267

Step-by-step explanation:

To solve this problem, lets use the exponential growth formula which is: $A = P(1+r)^t$

A = total amount

P = original amount

r = growth rate (decimal)

t = years

Before we plug in the values, don't forget to change 3.5% to its decimal form.

3.5% -> $\frac{3.5}{100}$ -> 0.035

Lets plug in the values:

$A=12,000(1+0.035)^7$

$A=15,267$

The population after 7 years will be 15,267.

8 0

3 years ago

56 points for whoever answers correctly !

vladimir2022 [97]

We need to use what we know about rectangles to get:

Total length = 2*W + 8ft
Total width = W + 8ft

2) area = 2*W^2 + 24ft*W + 64ft^2

<h3>Working with rectangles:</h3>

We know that rectangles are defined by two measures, width W and length L.

Here we do know that the length of the pool is twice the width, and the width is W, then the length of the pool is:

L = 2*W

And we also have a sidewalk of 4ft all around the pool, now we want to get:

1) The total length and the total width.

This will be equal to the length/width of the pool plus twice the width of the sidewalk (we add it twice because is in both ends) then we have:

Total length = L + 2*4ft = 2*W + 8ft
Total width = W + 2*4ft = W + 8ft

2) Now we want to get an expression for the total area of the pool.

Remember that for a rectangle the area is just the product between the width and the length, so to get the area of the pool with the sidewalk we just take:

area = (total length)*(total width)

area = (2*W + 8ft)*(W + 8ft) = 2*W^2 + 3*W*8ft + 64ft^2

area = 2*W^2 + 24ft*W + 64ft^2

This is the equation that gives the total area as a function of W, the width of the pool.

If you want to learn more about rectangles, you can read:

brainly.com/question/17297081

6 0

2 years ago

Beth buys 5 gallons of tea for a party. If each serving is 1 cup how kany servings will there be at the party

Bumek [7]

Answer:

80, because there a 16 cups in one gallon and 5 gallons

Step-by-step explanation:

5 0

2 years ago

Pls help me with this question.

maw [93]

Answer:

The slope for this equation is $\frac{1}{7}$ .

Step-by-step explanation:

x y

point 1: -4 -3

point 2: 3 -2

slope: $\frac{1}{7}$

To solve for slope here is an equation, to help: $\frac{y^2-y^1}{x^2-x^1}$

$\frac{y^2-y^1}{x^2-x^1} \\\\\frac{-2-(-3)}{3-(-4)} \\\\= \frac{1}{7} \\$

5 0

3 years ago