According to the National Center for Health​ Statistics, in​ 1990, 28% of babies in the United States were born to parents who were not married. Throughout the​ 1990s, this increased by approximately 0.6% per year. If this trend​ continues, in which year will 31% of babies be born out of​ wedlock?

Answers

Answer 1

Answer:

The year is  [tex]b = 1995[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of the number of babies born out of wedlock in 1990 is  k = 28%

    The percentage by which the number increase per year is  i = 0.6%

     The percentage of of the number of babies born out of wedlock considered is  a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is  

       [tex]d = a - k[/tex]

=>    [tex]d = 31 - 28[/tex]

=>   [tex]d = 3\%[/tex]

Generally the number of year require for the percentage to be equal  to  31%  is mathematically represented as

       [tex]n = \frac{3\%}{0.6\%}[/tex]

=>     [tex]n = 5\ years[/tex]

Generally the year which the considered percentage will be attained is  

    [tex]b = 1990 + n[/tex]

=> [tex]b = 1990 + 5[/tex]

=> [tex]b = 1995[/tex]


Related Questions

Ryanne is 14. Her brother’s age is three more than half her age. How old is her brother?

Answers

Answer:

10

Step-by-step explanation:

because

14/2+3=10 this is the explanation

May someone help me with this please?!

Factor the polynomial function over the complex numbers.



f(x)=x4+3x2−4



Enter your answer in the box.

f(x)=

Answers

Answer:

14

Step-by-step explanation:

I am pretty sure its 14 if not im so sorry

a bus is full of passengers. if you count them by either twos, threes, or fives, there is one left. if you count them by seven there will be none left. find the least number of passengers in the bus?​

Answers

the number of passengers is not a multiple of 2, 3 or 5 but it is a multiple of 7

The lowest multiple of 7 that is not a multiple of 2, 3 or 5 is 7

The next multiple after 7 that is not a multiple of 2, 3 or 5 is 49

7 x 1 = 7
7 x 2 = 14 ( can be divided by 2 )
7 x 3 = 21 ( can be divided by 3 )
7 x 4 = 28 ( can be divided by 2 )
7 x 5 = 35 ( can be divided by 5 )
7 x 6 = 42 ( can be divided by 2 )
7 x 7 = 49

Use a system of linear equations with two variables and two equations to solve.



205 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.

Answers

Answer:

passed: 164

failed: 41

Step-by-step explanation:

Let the failed students be x, then the passed students will be 4x.

x + 4x = 205

x = 205/5 = 41

4x = 4*41 = 164

I WILL GIVE BRAINLIEST PLEASE

Answers

Answer:

4

Step-by-step explanation:

Answer:

The answer is 6/25

Step-by-step explanation:

Both 24 and 100 are divisible by 4 so:

24/4 = 6 and 100/4 = 25

So, your final answer is 6/25

Simplify: 5(2n + 7)
Help please

Answers

Answer:

10n+35

Step-by-step explanation:

5*2n +5*7

Answer:

[tex]\boxed {10n + 14}[/tex]

Step-by-step explanation:

Solve the following expression:

[tex]2(5n + 7)[/tex]

-Use Distributive Property:

[tex]2(5n + 7)[/tex]

[tex]\boxed {10n + 14}[/tex] (final answer)

Bina Chand bought two kettle for rs 1625.she sold one of them
at 20% profit and the other at 20% loss.if the selling price of both kettle are same .find the cost price of each kettle .Also calculate her gain or loss percent in the total transaction. ​

Answers

Answer:

cost of each kettle:

K₁ = 650K₂ = 975

gain/loss from each transaction:

gain from selling K₁ = 130loss from selling K₂ = 195

total loss = 65

loss % = 4%

Step-by-step explanation:

both kettles cost 1625

K₁ + K₂ = 1625

selling price of K₁ = [(100 + 20) / 100] x K₁ = 1.2K₁

selling price of K₂ = [(100 - 80) / 100] x K₂ = 0.8K₂

1.2K₁ = 0.8K₂

K₁ = 1625 - K₂

K₁ = 0.8K₂ / 1.2

1625 - K₂ = ²/₃K₂

1625 = ²/₃K₂ + K₂ = ⁵/₃K₂

K₂ = 1625 x ³/₅ = 975

K₁ = 1625 - K₂ = 1625 - 975 = 650

selling price = 1.2K₁ = 1.2 x 650 = 780

selling price K₂ = 0.8K₂ = 0.8 x 975 = 780

gain from selling K₁ = 780 - 650 = 130

loss from selling K₂ = 780 - 975 = 195

total loss = 195 - 130 = 65

loss % = 65 / 1625 = 0.04 = 4%

PLEASE HELP FAST The Booster Club raised $30,000 for a sports fund. No more money will be placed into the fund. Each year the fund will decrease by 5%. Determine the amount of money, to the nearest dollar, that will be left in the sports fund after 4 years.

A.
$27,550

B.
$22,641

C.
$24,435

D.
$24,436

Answers

Answer:

c. $24,435

Step-by-step explanation:

[tex]30000(1 - .05)^{4} = 24,435.19[/tex]

The amount of money, to the nearest dollar, that will be left in the sports fund after 4 years is $24,435 option (C) is correct.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

The Booster Club raised $30,000 for a sports fund. No more money will be placed into the fund.

To find the amount of money, to the nearest dollar, that will be left in the sports fund after 4 years:

The money left after 4 years = 30000(1 - 0.05)⁴

After solving:

The money left after 4 years = $24,435

Thus, the amount of money, to the nearest dollar, that will be left in the sports fund after 4 years is $24,435 option (C) is correct.

Learn more about the percentage here:

brainly.com/question/8011401

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alright im feeling generous and ill give 100 points and brainliest to the person who wins

Answers

Answer:

thank you and please have me win

Step-by-step explanation:

please give brainliest and a win

how do you win

Anyone know the answer?

Answers

Answer:what answer screenshot glitching

Step-by-step explanation:

Which inequality has the graph shown below?
Oy > 2x – 3
O y < 2x - 3
oy > 2x - 3
O y < 3x + 1

Answers

Answer:

The answer is y < 2x -3

Step-by-step explanation:

You can read this as all values on the graph will be the value of x times 2 minus 3..

For example, if we wanted to know what the value of y would be if x =2, we would plug in 2 and get 2(2) - 3 or just 1. We can see at the graph that when x = 2 y does equal 1. **In this situation we are pretending that the < symbol is the equal symbol..

To actually find the answer you can graph each equation until you find it or do it this way:

1) Find the slope and determine if it it works for the given graph.

We can see that the slope of the given graph is positive and if we look closer we can see that the slope is 2 over  and that we have a y-intercept of (0,-3).

2) We know that it is Option 2 instead of the first option because o the < sign. If it was option 1, then the shaded part of the graph would be on the other side of the line.

The inequality has the graph shown in the question. is to be considered as the  y < 2x -3.

Calculation of an inequality function:

Since

First determine the slope

So we can see that the slope of the given graph should be positive and then the slope should be 2 over and there is y-intercept of (0,-3).

So based on this, we can say that The inequality has the graph shown in the question. is to be considered as the  y < 2x -3.

Learn more about y-intercept here: https://brainly.com/question/15587122

What is the difference between 1.37 and 0.52

Answers

Answer:

0.85

Step-by-step explanation:

1.37-0.52=0.85

5 yds=? Ft (PLEASE HELPP!!!)

Answers

Answer:

5 yards = 15 feet

Step-by-step explanation:

Following the formula that for every 1 yard we have 3 feet.

x = amount of yards

y = amount of feet per yard

z = amount of feet total

[tex]x * y = z[/tex]

Substitute:

[tex]5 * 3 = z[/tex]

[tex]15 =z[/tex]

Final answer:

5 yards = 15 feet

I will make brainlyest.​

Answers

Answer:

x + 46

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define expression

4(-8x + 5) - (-33x - 26)

Step 2: Simplify

Distribute:                              -32x + 20 + 33x + 26Combine like terms (x):         x + 20 + 26Combine like terms (Z):         x + 46

Find the value x?
(2x-10)degree
(3x +20)degree (STEP explanation)​

Answers

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 2x-10=3x+20 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+20=2x-10[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x-2x=-10-20[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=-30 [/tex]

A new health drink has 160​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the​ drink?

Answers

Answer: 32 mg

Explanation: 20 = 100%, 60% of 20 is 12 and 12+20=32

Wow I like health but this is beyond my knowledge I am so sorry I couldn't help

Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction

Answers

Answer:

D. [tex] = \frac{b}{a} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{b^{-2}}{ab^{-3}} [/tex]

Required:

Assuming a ≠ 0, b ≠ 0, find the expression equivalent to the given expression.

SOLUTION:

[tex] \frac{b^{-2}}{ab^{-3}} [/tex]

Recall the exponent rule =>  [tex] \frac{x^{a}}{x^{b}} = x^{a - b} [/tex]

Applying the exponent rule, we would have:

[tex] \frac{b^{-2 -(-3)}}{a} [/tex]

[tex] = \frac{b^{-2 + 3}}{a} [/tex]

[tex] = \frac{b^{1}}{a} [/tex]

[tex] = \frac{b}{a} [/tex]

Thus, the equivalent expression of [tex] \frac{b^{-2}}{ab^{-3}} [/tex] = [tex] \frac{b}{a} [/tex]

Answer:

d

Step-by-step explanation:

A group of circus bears made a pyramid. 3 bears fell of the top, leaving 3 on the bottom. How many bears made the pyramid?

Answers

Answer:

6, right?

Step-by-step explanation:

In what quadrant of the complex plane is -30-40i

Answers

Quadrant 3. You go 30 to the left and 40 down

(a) The area of a rectangular field is 6536 m2.
If the length of the field is 86 m, what is its width?
ANSWER ASPPP PLS

Answers

Answer:

Required Answer:-

Let

the breadth =x

Length=86mArea=6536m^2

As we know that in a rectangle

[tex]{\boxed{\sf Area=lb}}[/tex]

Substitute the values

[tex]{:}\longrightarrow[/tex][tex]\sf 86\times x=6536[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 86x=6536 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{6536}{86}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=76 [/tex]

[tex]\therefore[/tex][tex]Breadth=76m [/tex]

which is bigger? 2 or -3 please help!!

Answers

2 is bigger because -3 is below 0

GIVING BRAINLIST ASAP

Jasmine is buying a new mascara. She bought it on sale for $5.56. If the piece represents a 20% discount from the original price, what is the original price of the mascara? Round your answer to the nearest cent (hundredths place)

Answers

Answer:

It's $6.95 :)

A pie can be cut into seven pieces with three straight cuts. What is the largest number of
pieces that can be made with eight straight cuts?
A. 29
B. 33
C. 37
D. 41​

Answers

Answer:

You have to think in three dimensions to answer this properly. The relative size of the pieces was never specified, so let’s start with the first three cuts:

Cut 1: No specified angle—-but it’s vertical and along a diameter (assuming a circular pie): 2 pieces.

Cut 2: Perpendicular to Cut 1; also vertical: 4 pieces.

Cut 3: Horizontal across the midline of the pie: 8 pieces.

Cuts 4 and 5: Diagonally—from either end of cut 1 on top to the opposite sides on the bottom (they intersect at the center): 16 pieces.

Cuts 6 and 7: Diagonally from the ends of cut 2 (similar to cuts 4 and 5): 32 pieces.

Cut 8: The exact angle is unimportant—it’s difficult if not impossible to cut more than half of the pieces. So of 32, 16 are split, leaving a grand total of 48 pieces.

There could very well be a way to make more than 48 pieces, but I would have written that one if I’d thought of it.

Step-by-step explanation:

With eight straight cuts, approximately 18 pieces of pie can be made.

What is algebraic expression?

An algebraic expression in mathematics is a combination of terms both constant and variable. For example, we can write the algebraic expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is that a pie can be cut into seven pieces with three straight cuts.

With three straight cuts, the number of pieces would be seven.

With 1 straight cut, the number of pieces would be 7/3.

With 8 straight cut, the number of pieces would be 7/3 x 8 = 56/3 = 18.6

Therefore, with eight straight cuts, approximately 18 pieces of pie can be made.

To solve more questions on equivalent expression, visit the link-

https://brainly.com/question/1041084

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3) Angle A is vertical to angle K. If angle A is 78 degrees, what is angle K?

Answers

I need a graph or something

Which is the better buy?
4-quart jug of water for $5.12

79-fluid-ounce jug of water for $3.95
Help please

Answers

Answer:

Step-by-step explanation:

1 quart = 32 fluid ounces

4 quart = 32 x 4 = 128 ounces

Rate of 128 ounces = 128 ÷ 5.12 = 25

Rate of 79 ounces = 79 ÷ 3.95 = 20

4 quart jug is a better buy

Aisha divides 15 meter of ribbon into 2 equal pieces.

What is the length of each piece of ribbon?

Answers

Answer: 7.5 meters

Step-by-step explanation:

7.5 meters each 15/2=7.5

How tall are u in feet im 5*8?

Answers

Im a 14 billion year old space lady and im 8 feet tall with long flowing hair

Answer:

Well if your talking about height...im 5'1/4

Yeah i pretty short UwU

Step-by-step explanation:

Estimate the solution of the system of equations. Write the answer as an ordered pair.


solution =

Answers

When you graph a system of equations, the solution is always at the point at which the two lines intersect. So you have to find that point and then find which number it is on the x-axis and y-axis. Then you should write it in this form (X,Y)
So the lines basically cross at (1,2.5)

I’m not really sure if this is the correct answer but I hope it helps!!

Good luck!

Find two numbers that you can multiply to get a product of 0.56. 0.6 0.7 0.8 0.9 6 7 8 9

Answers

Answer:

0.7 and 0.8

Step-by-step explanation:

First you have to use your multiplication table, find out how much equals to 0.56 to make it easer just remove the zero and decimal point for example: 0.56 - 56 then divide it using all numbers. i divided it by 0.8 and is there that number yes and then i got 0.7 and that number is there too.

Give the values of the coefficients [a], [b], and [c] regarding the product in the form of ax^2+bx+c. Use "0" if the term isn't present.

Answers

Answer:  a = 1, b = 0, c = -49

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

Explanation:

Expand out the expression using the FOIL rule

(x+7)(x-7)

x^2 - 7x + 7x - 49

1x^2 + 0x - 49

We see that a = 1, b = 0, c = -49

-------------

Another way to expand is to do the following

(x+7)(x-7)

y(x-7) .... let y = x+7

xy - 7y .... distribute

x( y ) - 7( y )

x( x+7 ) - 7( x + 7 ) ... replace y with x+7

x^2 + 7x - 7x - 49 .... distribute

1x^2 + 0x - 49

We get the same result.

-------------

Lastly, a shortcut can be used as yet another method to expand.

The shortcut is the difference of squares rule

(a + b)(a - b) = a^2 - b^2

In this case, a = x and b = 7, so,

(a + b)(a - b) = a^2 - b^2

(x + 7)(x - 7) = x^2 - 7^2

(x + 7)(x - 7) = x^2 - 49

(x + 7)(x - 7) = 1x^2 + 0x - 49

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