Jaclyn and Henry secured a $225,000 mortgage at 5% annual interest for 20 years. This results in a monthly payment of $1484.90 and the interest paid in month one is $937.50. Assume they only make the minimum payment each month. How much is the balance reduced in month one? What is the beginning balance for month two?

Answer: the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830

Step-by-step explanation:

Given that;

p = 10% = 0.1

so let q = 1 - p = 1 - 0.1 = 0.9

n = 818

μ = np = 818 × 0.1 = 81.8

α = √(npq) = √( 818 × 0.1 × 0.9 ) = √73.62 = 8.58

Now to find P( x < 100)

we say;

Z = (X-μ / α) = ((100-81.8) / 8.58) = 18.2 / 8.58 = 2.12

P(x<100) = P(z < 2.12)

from z-score table

P(z < 2.12) = 0.9830

Therefore the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830

Answer:

2/25

Step-by-step explanation:

Just work it out

Answer: 4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.

Step-by-step explanation:

Let x = Quantity of wooden blocks.

y = Quantity of plastic bricks.

As per given , we ahve

5x+10y=80        (i)

x+y=10     (ii)

Multiply 5 on both sides of (ii), we get

5x+5y=50   (iii)

Eliminate (i) from (iii), we get

5y=30

⇒ y= 6

Put y=6 in (ii), we get

x+6=10

⇒ x= 10-6= 4

Hence, 4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.

Answer:

2n + n³

There you go.

Answer:

2×n^3

Step-by-step explanation:

i believe this is correct

Answer:

2y<-22

Step-by-step explanation:

2y is 2 times y

<-22 is less than -22

Answer:

0.11111111111

Step-by-step explanation:

It goes on forever

Answer:

Step-by-step explanation:

Before we can calculate the equation of the parabola in the form

y = ax²+bx, we need to get the value of a and b.

First we need to set up a simultaneous equation as shown;

since y = ax²+bx

dy/de = y' = 2ax + b

Substitute the point (2, 8) into the equation

y' = 2a(2)+b

y' = 4a + b

Since y' is also the slope of the equation y = 12x-16, hence y' = 12 on comparison.

The equation becomes;

12 = 4a+b

4a+b = 12 ........... 1

Since the point (2, 8) is also on the parabola, then it must satisfy the equation y = ax²+bx

substitute the coordinate;

8 = a(2)²+b(2)

8 = 4a + 2b

4 = 2a + b

2a+b = 4 ........... 2

Solve equations  1 and 2 simultaneously

4a+b = 12 ........... 1

2a+b = 4 ........... 2

Substract both equation

4a - 2a = 12-4

2a = 8

a = 4

substitute a = 4 into equation 2 and get b;

From 2; 2a+b =4

2(4)+ b = 4

8+b = 4

b = 4-8

b = -4

Substitute a = 4 and b = -4 into the equation of the parabola y = ax²+bx

y = 4x²+(-4)x

y = 4x²-4x

y = 4x(x-1)

Hence the required equation of the parabola is y = 4x(x-1)

Answer:

-7g - 3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define expression

-3(5g + 1) + 8g

Step 2: Simplify

Answer:

-7g - 3

Step-by-step explanation:

First, do distributive property. -3(5g+1)+8g= -15g-3+8g

Now combine like terms. (-15g + 8g) -3 =

-7g - 3 This is the answer since you can't combine a coefficient with a number without a variable.

Answer:

-300r + 15

Step-by-step explanation:

Hope this helps!

Answer: 190

Explanation: Divide 97.5 from 195% and then round.

The Jacks height from the given situation is 49.08 inches.

Given that, Jack can long-jump 195% of his height with a running start.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the height of jack be x.

So, 195% of x = 95.7

⇒ 195/100 × x=95.7

⇒ 1.95x=95.7

⇒ x=95.7/1.95

⇒ x=49.08 inches

Hence, the Jacks height from the given situation is 49.08 inches.

To learn more about the percentage visit:

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i dunno :) gggggggggggggggggggggggggg

Answer:

B,D,C,A,E

Step-by-step explanation:

-1, -4/3, 1/2, 2, 2 1/4

Answer:

BDCAE

Step-by-step explanation:

hope this help

Answer:

Y=4x+1

Step-by-step explanation:

Answer:

ANSWER: 8  A_P_E_X  

Step-by-step explanation:

Plug the radius and the center point into the equation, and convert it to general form to get your answer.

The value of a is 4.

The standard equation of a circle is given by

(x -h)² + (y-k)² = r²

The equation given is

x² + y² +ax +by +c = 0

a = -h * 1

(h,k) represents the coordinate for the center of the circle

h = -4 , k =2

a = -(-4) *1 = 4

To know more about Standard Equation of a Circle

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Answer:

a) 10

b) 18

c) 3

Step-by-step explanation:

Answer:

A) 10

B) 18

C) 3

Step-by-step explanation:

A) 6 + 4 = 10

B) 3(6)= 18

C) 6/2 = 3

Answer:

very close to or equal to zero

Explanation:

Correlation coefficients refer to the degree of relationship between two exclusive variables.

A weak correlation means that a change in one variable does not significantly affect or cause any reaction with the second variable.

For example, if the prices of coffee and the price of ballons are observed in the same period and found to have a correlation of +0.00006. This means that there is little or no correlation, or relationship, between the two variables. Weak relationships are usually between -0.1 and +0.1

Correlation coefficients can also be positive or negative.

It is positive if both factors seem to move in the same direction. As an example, if the price of stocks for Apple and Microsoft change in the same direction in the same period, they are said to have a positive correlation coefficient.

On the flip side, the correlation coefficient will be negative if the price of one stock moves upwards whilst the other moves downwards. A perfect negative relationship would read -1.

Cheers

Answer:

3(x+6)<33

Step-by-step explanation:

So you want to write what you hear as you go along

3(the sum of a number and 6)<33 The number can be substituted for x or any variable

3(x+6)<33

5914 1404 393

Answer:

  A) 1.3×10^37 ergs

  B) 1.435×10^3 mm

Step-by-step explanation:

A) The amount of energy will be the product of the energy rate and time:

  (3.9×10^33 ergs/s)×(3.25×10^3 s) =12.675×10^(33+3) ergs

  = 1.2675×10^(1+36) ergs

  = 1.2675×10^37 ergs ≈ 1.3×10^37 ergs

The mantissa of the result is the product 3.9×3.25, adjusted to have one digit left of the decimal point. The exponent of the result is the sum of the exponents of the factors, adjusted by 1 to match the adjustment in the mantissa.

The final value should be rounded to 2 significant figures, reflecting the precision of the sun's energy production.

__

B) A millimeter is a small fraction of an inch. 10^-3 mm is a small fraction of the width of a human hair, so 1.435×10^-3 mm is not a reasonable estimate of the distance between railroad tracks.

On the other hand, 1.435×10^3 mm is 1.435 m, almost 56.5 inches. This is a much more reasonable measurement of the distance between railroad rails.

  1.435×10^3 mm is more reasonable

Answer:

x=63.4 +k times 180, k e z

Step-by-step explanation:

Answer:

what language is that ??

Step-by-step explanation:

Answer: It is eather A or D (sorry for my spelling)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Try working this out with decimals

3/8 = 0.375

5/6 = 0.833     Add these

Total = 1.20833

Now divide by 5

1.20833/5

.24166

I think I would use this as my answer, but if you want fractions ...

3/8 + 5/6      The common denominator is 24

3*3/3*8 = 9 / 24

5*4/6*4 = 20/24

9/24 + 20/24 = 29/24

Now divide by 5

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

29 / 24 // 5/1                      Invert the denominator and multiply

29/24 * 1/5 = 29/120      

Does that equal the decimal result that we got?

29/120 = .24166 which is the same thing. The fractions are a little harder to handle than the decimals.

Answer:

1 7/15

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

improper fraction: 22/15.

Answer:

10m15n10

Step-by-step explanation:

5x2m=10m

5x3n=15n

5x2=10

so you get 10m15n10

you can't simplify it anymore because none of them have the same variables

Answer:

32m15n10

Step-by-step explanation:

Just took the tests

Answer:

1 1/2 + (-1/2) is also 1 1/2 - 1/2.

the result is 1 whole, and 1 whole is also the difference between 1 1/2 and 1/2.

Say you have half of a cheese piece, but your friend has 1 whole cheese piece plus half of a cheese piece.

He/She has 1 more cheese piece than you, right? That's the difference between you and your friend's cheese. 1 whole.

All you are doing for these problems is plugging in your given x value into the equation given in the answer choices and seeing if you get the answer for “y” given in the table.

Answer:

For the first table:

A) y=5x-3 (plug in -6 in place of x and see if you get -33. Do the same for 3,9,-4,-5)

y=5(-6)-3=-30-3=-33

y=5(3)-3=15-3=12

y=5(9)-3=45-3=42

y=5(-4)-3=-20-3=-23

y=5(-5)-3=-25-3=-28

Your answer for the first image is A) y=5x-3

For the second image: (plug in 4 in place of x and see if you get 26. Do the same for -2,1,8,-3)

y=6x-2

y=6(4)-2=20-2=18 WRONG it should be 26

y= 6x+2

y=6(4)+2=24+2=26

y=6(-2)+2=-12+2=-10

y=6(1)+2=6+2=8

y=6(8)+2=48+2=50

y=6(-3)+2=-18+2=-16

Answer for image 2 is B) y=6x+2

Answer:

hi

Step-by-step explanation:

Answer:

T-intercept = 67

Step-by-step explanation:

Given

T = 44m + 67

Required

Calculate and interpret the t-intercept

To calculate the t-intercept, we simply set the number of minutes (m) to 0

i.e. substitute 0 for m in T = 44m + 67

T = 44 * 0 + 67

T = 0 + 67

T = 67

Hence, the T-intercept is 67

The interpretation is that the initial temperature when the oven is turned on is 67 degrees

Answer: from what I remember it’s yes

Step-by-step explanation: Because I took the test but it won’t let me go back but if it’s not yes I’m sorry