Question 1
Which is the largest value?

Answer:

[tex]A = 10,000(1.05t)[/tex] where t is in years

Step-by-step explanation:

I'm going to assume that the expectation that Cameron has is the amount of money after t years.

We can use the simple interest formula [tex]A = P(1+rt)[/tex] where A is the final amount, P is the principal, r is the rate, and t is time.

We can plug in 10,000 for P and 0.05 for r, giving us

[tex]A = 10,000(1.05t)[/tex]

The unicycle would move 2.512 meters if the wheel turns once

The wheel needs to rotate completely 40 times in order for Pierre to travel 100m

An equation is an expression that shows the relationship between two or more numbers and variables.

a) The circumference of the wheel = π * diameter = 3.14 * 80 cm = 251.2 cm = 2.512 m

The unicycle would move 2.512 meters if the wheel turns once

b) For a 100m race:

Number of wheel rotation = 100 m / 2.512 m = 39.8

The wheel needs to rotate completely 40 times in order for Pierre to travel 100m

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Answer:

2500m³

Step-by-step explanation:

A = length x width x height

50m x 25m x 2 m

=2500m³

Answer:

y ≥ 14

Step-by-step explanation:

Add 27 to both sides to get:

y ≥ 14

Therefore the answer is y ≥ 14.

Answer:

diameter - B

central angle - E

radius - A

tangent - D

minor arc - F

chord - C

Answer:

Impossible.

Step-by-step explanation:

I learned that you can use the word impossible during one of my math classes, so I chose the word impossible since she cannot lose a turn on her next turn.

Answer:

1) yes--common difference is 3.

[tex]7 \times {10}^{ - 3} [/tex]

Hopefully you got what I meant, this is easy.

Answer:

±[tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex]

Step-by-step explanation:

We can rewrite [tex]sin(\frac{7\pi }{12} )[/tex] as [tex]sin(\frac{7\pi }{6} (\frac{1}{2} ))[/tex]. The half-angle identity for sin tells us that [tex]sin(\frac{x}{2} ) = \sqrt{\frac{1 - cos(x)}{2} }[/tex] (plus or minus). Now, we can plug in [tex]\frac{7\pi }{6}[/tex] for x. When we do that, we get [tex]\sqrt{\frac{1 - (-\frac{\sqrt{3}}{2}) }{2} }[/tex] =  ± [tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex].

Hope this helped! :)

Answer:

60%

Step-by-step explanation:

Percent means per hundred. Change to "per hundred"

3/5 = 6/10 = 60/100

3/5 is 60%

OR

Divide 3/5 means 3÷5...

3÷5 = .6

Change decimal to percent by multiplying by 100.

.6 × 100 = 60

60%

Answer:

60%

Step-by-step explanation:

well if they only finished 3/5 it’s going to be

60/100 = 60%

Answer:

1. A

2. C

Step-by-step explanation:

1. A

2. C

Answer: Figure 1, Figure 2, Figure 3

Step-by-step explanation:

Blue figure Volume:

[tex](2 *5^{3} ) + (15*5*5) = 625feet^{3}[/tex]

Pink figure volume:

[tex](5^{3})+(5*5*17.5) + (12.5*2.5*5) = 718.75 feet^{3}[/tex]

Green figure volume:

[tex](4*12.5*11) + (2*9*11) = 748 feet^{3}[/tex]

Answer: 40.69°

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diameter= 13 cm

the circumference of the given circle.

[tex]c = \pi \: d[/tex]

[tex]c = 3.142 \times \: d[/tex]

[tex]c = 3.142 \times 13[/tex]

[tex]c = 40.846 \: cm[/tex]

hence, the circumference of the given circle is 40.846 cm

First, we'll have to change the diameter to radius by dividing the diameter by 2.

[tex]\large\boxed{Formula: r= \frac{d}{2}}[/tex]

So we'll have to divide 13 by 2.

Substitute the values according to the formula.

[tex]r= \frac{13}{2}[/tex]

[tex]\bold{6.5 \: cm}[/tex]

Now, we can find the circumference.

[tex]\large\boxed{C= 2\pi{r}}[/tex]

Substitute the values according to the formula.

[tex]C= 2\times\pi\times6.5[/tex]

Calculate value:

[tex]\large\boxed{C= 40.8407045 \: cm}[/tex]

Therefore, the circumference of the given circle is 40.8407045 centimeters.

Answer: 84 degrees

Step-by-step explanation:

this triangle is an isosceles triangle meaning two sides are of equal length ( the two sides in this case being the ones marked with the two lines // and // ) and that also means the triangle will have two equal angles (48 and 48) how do we know that? The triangle looks like this essentially: (see image below) where angle a = to angle b

a triangles angles added up always =180 degrees

Since we proved angle a is equal to angle b, we should be able to also subtract them from 180 to find angle c. 48+48=96

and simply subtract 96 from 180 to get 84 degrees.

therefore the angle is 84 degrees

Answer:

y1: Ann

y2: Damian

y3: Adam

y4: Debbi

Step-by-step explanation:

Answer:

0.29 as a percentage is the same as 29%

Step-by-step explanation:

it’s going to be 29% because you just pretend that there isn’t a 0. In front of the 29 and you have 29%.

The decimal number 0.29 is equivalent to 29% when expressed as a percentage.

Given decimal is 0.29.

To convert a decimal number to a percentage, multiply it by 100 and add the percentage symbol (%).

In this case, to convert 0.29 to a percentage

= 0.29 x 100

= 29

Therefore, 0.29 is equivalent to 29% as a percentage.

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the question says that the samples included 100 people each, so it's just 100 multiplied by the amount of samples:

7×100=700

Answer: It looks like the answer is 50. But i would go over it with a calculator.

Step-by-step explanation:

Answer:

1,514,919

Step-by-step explanation:

I just used a calculator cuz in 6th you can use one but here's the answer

Answer:

If the couple purchases a house and they made all their payments, their total cost of the house would be $1,541,919.

Explanation:

$256,000
$443,504
$513,765
$328,650 +
------------------

$1,541,919

Answer:

here we go

Step-by-step explanation:

Stirring a cup of hot tea causes a metal spoon to get warm. Which statement best explains why the spoon gets warm? Heat energy transfers from the hot tea to the spoon.

Answer:

Step-by-step explanation:

Using it's concept, it is found that the desired probability is given by:

P(Head, Diamond AND Head, Heart) = 1/64.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, each outcome is equally as likely, having a 1/8 probability, and they are independent.

Then:

P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.

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Answer:

d)142º

Step-by-step explanation:

[tex]\widehat{AB}=2\times71\º=142\º[/tex]

The values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We know the perimeter of the rectangle = 2(w+l)

The sum of w+w+l = 120  (given)

2w + l = 120

From the above equation, we can calculate the l of the rectangle:

We have w = 10 feet

l = 100 feet

Area = 10×100 = 1000 square feet

When w = 30

l = 60 feet

Area = 60×30 = 1800 square feet

When w = 40

l = 40 feet

Area = 40×40 = 1600 square feet

Thus, the values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.

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Answer:

4.33

Step-by-step explanation:

1/3=0.33 recuring

4 just eqauls 4

so you add 0.3 recuring to 4

and depending on significant figures it wants you round it ill assume it wants 3 and go 4.33

Answer:

  (d)  X = [-27, 8]

Step-by-step explanation:

The solution to the matrix equation can be found by left-multiplying both sides of the equation by the inverse of the coefficient matrix.

  AX = B . . . . given

  X = A⁻¹B

__

  [tex]X=\left[\begin{array}{cc}2&7\\1&4\end{array}\right]^{-1}\left[\begin{array}{c}2\\5\end{array}\right] =\left[\begin{array}{cc}4&-7\\-1&2\end{array}\right]\left[\begin{array}{c}2\\5\end{array}\right] \\\\X=\left[\begin{array}{c}-27\\8\end{array}\right][/tex]

_____

Additional comment

A calculator or spreadsheet can help with this. The solution can also be found by row-reducing the augmented matrix.