2/3 : 2/6 as a unit rate

Using decimal multipliers, it is found that a rate of return of 5.2% in the third year will produce a cumulative gain of 16%.

The decimal multiplier for a increase of a% is given by:

[tex]M = \frac{100 + a}{100}[/tex]

In this problem, two increases of 5%, thus:

[tex]M = \frac{100 + 5}{100} = 1.05[/tex]

Another of x, that we want to find, and the result is a increase of 16%, thus:

[tex]M = \frac{100 + 16}{100} = 1.16[/tex]

The three increases(5%, 5% and x%) result in a increase of 16%, thus:

[tex]1.05(1.05)(x) = 1.16[/tex]

[tex]x = \frac{1.16}{(1.05)^2}[/tex]

[tex]x = 1.052[/tex]

1.052 - 1 = 0.052

A rate of return of 5.2% in the third year will produce a cumulative gain of 16%.

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Answer:

70.5%

Step-by-step explanation:

[tex] \frac{1 + \frac{41}{100} }{2} = \frac{x}{100} [/tex]

I wish I could help

No need to type in the percent symbol as that's already taken care of.

==============================================================

Explanation:

The square on the left is fully shaded in to represent 100% so far.

The square on the left is partially shaded in to represent an additional percentage on top of that 100%.

Note that we have 10 rows and 4 columns of white squares, so 10*4 = 40 white squares. Plus the additional white square to the right to get 41 white. That means there are 100-41 = 59 blue squares shaded in. This means that 59% of the second square is shaded blue.

That leads us to 100% + 59% = 159%

Answer:

A well-defined collection of elements is a set.

Answer:

maximum -1 minimum -7 amplitude 6 midline -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pythagorean Theorem Formula: a² + b² = hypotenuse²

x² + 5² = 13²

x² + 25 = 169

x² + 25 - 25 = 169 - 25 (subtract 25 in both sides)

x² = 169 - 25

√x² = √144

x = 12

The average distance traveled by Steven in 1 month is 1,005 miles.

So, average miles traveled in 1 month:

So, the average distance traveled in 1 month is:

Therefore, the average distance traveled by Steven in 1 month is 1,005 miles.

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Answer:

The average distance traveled by Steven in 1 month is 1,005 miles.

Step-by-step explanation:

Answer:

I think it might be (x + 9)5 = 4 or 5(x + 9) = 4. I'm not really sure.

I hoped this helped

Have a nice day!

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because you are looking for the car that cost the most

a. When x = -1, the value of y is 3.

b. When y = 7, the value of x is 1.

c. The y-intercept of the graph is (0,5).

d. The x-intercept of the graph is -2.5.

e. The slope of the line is 2.

f. The equation of the line is y = 2x + 5.

Hope this helps!! :)

(f+g)(7)=f(7)+g(7)

Step-by-step explanation:

A) f(7)=7²=49 and g(7)=√5=~2,2 and 49+2,2=51,2

B) f(7)/g(7)=49/2,2= 22,2

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The formula for adding two fractions:

= a/b + c/d

= (ad + bc) / cd

The fraction spent altogether on food and clothes is 7/12.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Fraction of earnings spend on food:

= 1/3

Fraction of earnings spend on clothes:

= 1/4

Fraction of total spending on food and clothes.

= 1/3 + 1/4

= (4 + 3) / 12

= 7/12

The formula for adding two fractions:

= a/b + c/d

= (ad + bc) / cd

Fraction of earnings saved after spending on food and clothes.

= 1 - 7/12

= (12 - 7) / 12

= 5/12

Thus,

The fraction spent altogether on food and clothes is 7/12.

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Rs. 250000 was the price of the refrigerator.

Let x represent the price of the refrigerator.

Since she made a Rs. 40,000 down payment. On delivery paid another Rs. 80,000 and owed 60% of the purchased price. Hence:

Total Money paid = 100% - 60% = 40% of purchased price

40000 + 60000 = 40% of x

100000 = 0.4x

x = Rs. 250000

Hence, Rs. 250000 was the price of the refrigerator.

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Answer:

7452

Step-by-step explanation:

Answer:

Sample Response: First, write 828 as a sum of 800 + 20 + 8. Next, multiply each number by 9. Add the products to get 7,452.

Step-by-step explanation: edge 2021

Answer:

there is no line parallel to y = -3x + 8 that goes through (5, -7). this point falls on this line

Step-by-step explanation:

[tex]y = - 3x + 8[/tex]

[tex] - 7 = - 3(5) + b \\ - 7 = - 15 + b \\ b = 8[/tex]

The answer is

[tex]y = - 3x + 8[/tex]

Trigonometric ratios are useful in calculating the side lengths of a triangle.

(a) Length, z

First we calculate (h) using the following sine ratio

[tex]\mathbf{sin(75) = \frac{h}{40}}[/tex]

Make h the subject

[tex]\mathbf{h = 40sin(75)}[/tex]

Next, we calculate (z) using the following sine ratio

[tex]\mathbf{sin(10)= \frac{h}{z}}[/tex]

Make z the subject

[tex]\mathbf{z= \frac{h}{sin(10)}}[/tex]

Substitute [tex]\mathbf{h = 40sin(75)}[/tex]

[tex]\mathbf{z= \frac{40sin(75)}{sin(10)}}[/tex]

[tex]\mathbf{z= 222.5 ft}[/tex]

Hence, the length of the zip line is 222.5 ft

(b) The height, h

In (a), we have

[tex]\mathbf{h = 40sin(75)}[/tex]

Evaluate

[tex]\mathbf{h = 38.6}[/tex]

Hence, the height where the ladder rests against the tree is 38.6 ft

(c) The distance, b

To do this, we make use of the following sine ratio

[tex]\mathbf{sin(15) = \frac{b}{40}}[/tex]

Make b the subject

[tex]\mathbf{b = 40sin(15)}[/tex]

[tex]\mathbf{b = 10.4}[/tex]

Hence, the distance between the base of the ladder and that of the tree is 10.4 ft

(d) Distance, B

To do this, we make use of the following sine ratio

[tex]\mathbf{sin(80) = \frac{B}{z}}[/tex]

Make B the subject

[tex]\mathbf{B = z\ sin(80)}[/tex]

Substitute [tex]\mathbf{z= 222.5 ft}[/tex]

[tex]\mathbf{B = 222.5\ sin(80)}[/tex]

[tex]\mathbf{B = 219.1}[/tex]

Hence, the distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft

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I don't know if this is a question that deserves an answer but I say a 2 out of 5 .

Answer:

vggyyrt5 gf t66t6

Step-by-step explanation:

yy dry t6t ty y yuri u fry uu huf yy875

Answer:

Pics block

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that:

[tex]\sf p(y) = 2y^3+my^2+11y+m+3 [/tex]

We are also given that, p(y) is divisible by 2y - 1.

So, 2y - 1 is a factor of p(y).

[tex]\sf\longmapsto 2y-1=0[/tex]

[tex]\sf\longmapsto y=\dfrac{1}{2}[/tex]

So, 1/2 is a zero of p(y).

[tex]\sf\longmapsto p(1/2) =0 [/tex]

[tex]\sf\longmapsto p(y) = 2y^3+my^2+11y+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = 2\left(\dfrac{1}{2}\right)^3+m\left(\dfrac{1}{2}\right)^2+11\left(\dfrac{1}{2}\right)+m+3 [/tex]

So,

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = 2\left(\dfrac{1}{8}\right)+m\left(\dfrac{1}{4}\right)+11\left(\dfrac{1}{2}\right)+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = \dfrac{1}{4}+\dfrac{m}{4}+\dfrac{11}{2}+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) =\dfrac{1}{4}+\dfrac{m}{4}+\dfrac{22}{4}+\dfrac{4m}{4}+\dfrac{12}{4} [/tex]

[tex]\sf\longmapsto 0 =\dfrac{1+m+22+4m+12}{4} [/tex]

[tex]\sf\longmapsto 0 =\dfrac{5m+35}{4}[/tex]

[tex]\sf\longmapsto 5(m+7)=4\times0[/tex]

[tex]\sf\longmapsto 5(m+7)=0[/tex]

[tex]\sf\longmapsto m+7=0[/tex]

[tex]\longmapsto\bf m=-7[/tex]

Therefore, the value of m is -7.

Answer:

y = -1/2 x

Step-by-step explanation:

Option B is the correct answer.

Answer:

shade 20 squares

Step-by-step explanation:

What your going to think about is there is going to be 4 5's  so 4 x 5 is 20

Answer:

I saw the other persons work and I also believe the answer is 20.

Step-by-step explanation:

By multiplying the dividend from the graph.  

Answer:

IH, GH, IG

Step-by-step explanation:

We will use this key rule: The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

The angle G is 59 degrees, H is 61 degrees and I is 60 degrees.

The smallest angle is 59 degrees, so the shortest side is the one opposite to that angle, which is side IH.

The largest angle is 61 degrees, so the longest side is the side opposite to that angle, which is side IG.

The side in-between these two is side GH, which is opposite to the 60 degree angle.

Answer:

Construction of 60° exactly

Answer:

square root

Step-by-step explanation: i think this is right but please tell me if it is wrong

Step-by-step explanation:

Slope:(II)m= -2

y-1=-2(x+4)

y-1=-2x+8

+1. +1

Answer: y=-2x+9

Answer:

Exact: 55.899

Estimate: 56

Step-by-step explanation:

8.176 + 5.802 + 41.921 = 55.899

8.176 ~ 8

5.802 ~ 6

41.921 ~ 42

8 + 6 + 42 = 56

Answer:

6/5

Step-by-step explanation:

4/5 divided by 2/3 in simplest form is 6/5.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

4/5 divided by 2/3

Now,

=(4/5)/(2/3)

=12/10

=6/5

Therefore, by algebra answer in simplest form will be 6/5.

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