ARIHANNAL
Session 2: Calculator
Question 22
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Jason took out an $800 loan from his bank two years ago. He recently paid $860 back to the bank. This included the original loan amount
and the simple interest charged to him.
What was the annual interest rate of Jason's loan?
a 3%
D 3.75%
7.5%
15%

Answers

Answer 1

Answer:

I think its 3 or 3.75 you can check

Step-by-step explanation:


Related Questions

Find the perimeter of the image below.

30.18 units
33 units
28.38 units
34.18 units

Answers

Answer:

125.74 units

Step-by-step explanation:

30.18 units

33.00 units

28.38 units

34.18 units

125.74

the difference of the
ages of two brothers is 4 years 5 years ago if the product of their ages was 96 find their present ages


Answers

Answer:

OB - Older Brother

YB - Younger Brother

A) OB -YB = 4

B) OB * YB = 96

B) OB = 96 / YB

Multiplying A) by -1

A) -OB + YB = -4 then we add B)

B) OB = 96 / YB

YB = -4 + 96 / YB

Multiplying both sides by YB

YB^2 = -4YB +96 then re-arranging

YB^2 + 4YB -96 = 0 solving by quadratic equation

AS OF 5 years AGO:

Younger Brother's age = 8

Older Brother's age = 12

NOW THEIR AGES ARE:

8 + 4 = 12  YB and

12 + 4 = 16 OB

Step-by-step explanation:

Find the 75th term of the following arithmetic sequence.
12, 21, 30, 39,

Answers

9514 1404 393

Answer:

  678

Step-by-step explanation:

The sequence has a first term of 12 and a common difference of 21-12 = 9. The explicit formula for the n-th term is ...

  an = a1 +d(n -1)

For a1 = 12 and d = 9, this is ...

  an = 12 + 9(n -1)

Using 75 for the value of n, we have ...

  a75 = 12 + 9(75 -1) = 12 + 666 = 678

The 75th term is 678.

The coordinate grid shows three points P, Q, and R:

A four-quadrant coordinate grid from negative 10 to positive 10 in increments of 2 is drawn. Point P is plotted on the ordered pair negative 6, negative 2. Point Q is plotted on the ordered pair negative 6, negative 6. Point R is plotted on the ordered pair 4, negative 6.

The distance between Q and R is ______ units.

Numerical Answers Expected!

Answer for Blank 1:

Answers

Answer:

10 units

Step-by-step explanation:

Given:

Point Q = (-6, -6)Point R = (4, -6)

The segment QR is horizontal as both have same y- coordinate of -6.

The distance between Q and R is the distance between x- coordinates:

4 - ( -6) = 10 units

Answer:

10

Step-by-step explanation:

i took the test flvs right segmant exam

Solve for L.........

Answers

Answer:

L = P/2 - W

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

P = 2L + 2W

Step 2: Solve for L

Subtract 2W on both sides:                    P - 2W = 2LDivide 2 on both sides:                           (P - 2W)/2 = LDistribute division:                                   P/2 - W = LRewrite:                                                    L = P/2 - W

What is the percent of the figure that is shaded. Drag the correct answer to the box labeled "Correct percentage." 65% 60° .65% 650%​

Answers

Answer:

60

Step-by-step explanation:

What is the image of (-7, -6) after a dilation by a scale factor of 4 centered at the
origin?

Answers

Answer: (-28, -24)

Step-by-step explanation:

Since the scale factor is four, it denotes that it’s a positive dilation. The question is asking for 4 times the point. In other words, where would the point be if it was stretched out 4 times.

If you draw a line from the given to the QED, (-7, -6) to (-28, -24), then you’ll realize that the image is 4 time the original point.

K= (-7*4, -6*4)

Any number less than one means the point or shape is being compressed or made smaller.

I need help on this question for middle school.

Answers

Answer:

2y+12

Step-by-step explanation:

4(7/8y-4-3/8y+7)

first, in the parentheses (because of PEMDAS), combine like terms

4(7/8y-3/8y+-4+7)

4(4/8y+3)

Simplify 4/8y

4(1/2y+3)

now apply distributive property and multiply each number by 4

2y+12

Hope this helps!

Answer:

(2y + 12)

Step-by-step explanation:

4(7/8y-4-3/8y+7)

first, in the parentheses, combine like terms.

then apply distributive property and multiply each number by 4.

Sorry my answer wasn't complete last time:) Hope this is better:)

A simple random sample of size n = 20 is obtained from a population with population mean 64 and population standard deviation 17.
(a) What must be true regarding the distribution of the population in order to use the
normal model to compute probabilities involving the sample mean? Assuming that
the condition is true, describe the sampling distribution of sample mean.
(b) Find P(x < 67.3).
(c) Find P(x > 65.2).

Answers

Answer:

Kindly check explanation

0.57691

0.4719

Step-by-step explanation

A.) The distribution of sample means must follow a normal distribution ;

Mean = 64 ; Standard deviation = 17 ;

Standard Error = s/sqrt(n) = 17 / sqrt(20) = 3.8013155

N(64 ~ 17)

Given that:

mean (m) = 64

Sample size (n) = 20

Standard deviation (s) = 17

Find

P(x < 67.3)

Z = (x - m) / s

Zscore = (67.3 - 64) / 17

Zscore = 0.1941176

P(Z < 0.194) = 0.57691 (Z probability calculator)

(c) Find P(x > 65.2).

Zscore = (65.2 - 64) / 17

Zscore = 0.0705882

P(Z > 0.0705) = 0.4719 (Z probability calculator)

N x 3/8 = 1 What is N?

Answers

Answer:

[tex]N=\frac{8}{3}[/tex]

Step-by-step explanation:

The image below shows step-by-step on how to solve it.

Hope this helps! :)

HELP ASAP QUESTION IN PHOTO

Answers

The answer is 2(x+4)-5x+2 .
Step by step:
Distribute the 2 through the parentheses--> 2x+8 -5x + 2
Then collect the like terms:
-3x+8+2
Then add 8 and the 2
-3x + 10

please help me will mark brainliest
How can you use an inequality to describe the dimensions of a figure?

Answers

A scalene triangle can be identified by the inequality of the lengths of its sides and size of its angles.

Best answer gets brainiest. On Wednesday at camp, Diana went for a hike at 5:35 A.M. The hike took 1 hour and 30 minutes. As soon as she got back from the hike, Diana played volleyball for 55 minutes. What time did Diana finish playing volleyball?

Include A.M. or P.M. in your answer.

Answers

Answer:

Diana finshed playing volleyball at 8am

Step-by-step explanation:

So we know she started at 5:35 AM

And she hiked for an hour and 30 minutes

so 5:35+1 hour is 6:35

and 6:35+35 is 7:05

So before playing volley ball, the time is 7:05 am

Now volley ball was 55 minutes

so 7:05+55 is 8

So 8am

Answer:

She finish playing valleyball at 8:00 am

Step-by-step explanation:

Hike at 5:30 => 1h 30 min => 7:05

valleyball at 7:05 => 55 min => 8:00

Zan has created this rule for generating sequences of whole numbers. If a number is 25 or less, double the number. If a number is more than 25, subtract 12 from it. For example, if Zan starts with 10, she gets the sequence 10, 20, 40, 28, 16,... If the third number in Zan's sequence is 36, what is the sum of the four distinct numbers that could have been the first number in her sequence

Answers

Answer:

123

Step-by-step explanation:

Given that:

Method to generate the sequence:

If a number is less than or equal to 25, then the number is doubled.

And if the number is more than 25, then 12 is subtracted from it.

Here, we are given a sequence with its third number is 36.

Now, let us have a look by making the number 36 as half of its value.

[tex]\frac{36}{2}[/tex] = 18

This could have been the second number in the.

According to this, the first number will be [tex]\frac{18}{2} = \bold{9}[/tex]

Other option for the first term can be 18 + 12 = 30

By second method, the second method can be:

36 + 12 = 48

By this method, First number 48 + 12 = 60

Other option for first number can be [tex]\frac{48}{2 } = \bold{24}[/tex]

Therefore, sum of four options of first term:

9 + 30 + 60 + 24 = 123

Solve the following equation for f. Be sure to take into account
whether a letter is capitalized or not.
9 = Gf

Answers

Answer:

f is equal to 3 which means g is also equal to 3

Step-by-step explanation:

Divide by G
Solution: f = 9/G

Evaluate 10 - (x + 3) when 2 = 2. ​

Answers

Answer:

5

Step-by-step explanation:

Im asuming you meant " x = 2 ".

According to PEMDAS, parenthese come first so...

10 - ( 2 + 3 )

= 10 - 5

= 5  

Answer:

its 50

Step-by-step explanation:

10 times (x+3)  x=2

2 plus 3 is 5  

10 time 5

   =50

whats the answer? if you know it

Answers

D. 360! You use the equation length x height x width!

Answer:

Step-by-step explanation:

360

Given a point A(-3,-1), it is dilated by some scale
factor to A' (-9,-3). If the same dilation is applied
to B(-1,-5), what are the coordinates of B'?

Answers

Answer:

[tex]B' = (-3, -15)[/tex]

Step-by-step explanation:

Given

[tex]A = (-3,-1)[/tex]

[tex]A' = (-9,-3)[/tex]

[tex]B = (-1,-5)[/tex]

Required

Determine the coordinates of B'

Since A' is the image of A; we need to first calculate the scale factor using

[tex]A' = A * Scale\ factor[/tex]

Make Scale Factor the subject

[tex]Scale\ Factor = \frac{A'}{A}[/tex]

Substitute values for A' and A

[tex]Scale\ Factor = \frac{(-9,-3)}{(-3, -1)}[/tex]

Factorize the numerator

[tex]Scale\ Factor = \frac{3 * (-3,-1)}{(-3, -1)}[/tex]

[tex]Scale\ Factor = \frac{3 * 1}{1}[/tex]

[tex]Scale\ Factor = 3[/tex]

The coordinates of B' is then calculated as follows:

[tex]B' = B * Scale\ Factor[/tex]

Substitute values for B and Scale Factor

[tex]B' = (-1,-5) * 3[/tex]

[tex]B' = (-3, -15)[/tex]

solve for x 4(x-3)-8=16

Answers

Answer:

x=9

Step-by-step explanation:

4(x-3)-8=16

1. Distribute

(4x) - (4*3) - 8 =16

4x-12-8=16

Combine the 12 and the 8

4x-20=16

Add 20 to both sides

4x-20+20=16+20

4x=36

Divide by 4.

x=9

Hope this helps plz hit the crown :D

Plz help meee!!!!!!!!!!!!!!11

Answers

Answer: 15) 1   16) 30

Step-by-step explanation:

15 ) Since 15 you are shown that the larger   has 30 & 5 so, if it has shrunk until now that 30 has turned into 6 that means it has shrunk by 5 times the original bigger triangle has (30 divided by 6 = 5). 5 can go into 5 1 time so you get 1

16) We have an isosceles triangle so all the sides will be equal. So If one side is 30 then the rest will be 30. This is also shown with the smaller triangle, with both sides equaling 6.

You bought 5 chocolate bars and 8 blow pops for $23.25. Your sister bought 2 chocolate bars and 13 blow pops for $21.55. How much did each chocolate bar cost?

Answers

Answer:

$2.65

Step-by-step explanation:

Let chocolate bar cost = c and blow pops cost = b

As per given we have equations below:

5c + 8b = 23.25 2c + 13b = 21.55

13 times the first equation minus 8 times the second to eliminate b and find c:

13(5c + 8b) - 8(2c + 13b) = 13(23.25) - 8(21.55) 65c - 16c = 129.85 49c = 129.85 c = 129.85/49 c = 2.65

Each chocolate bar costs $2.65

Help 6th grade math thanks

Answers

Answer:

8.75

Step-by-step explanation:

In order to find the unit rate, you need to divide the variable by the independent variable. In this case, your dependent variable would be $122.50 because the cost depends on how much you are buying; you're independent variable will be 14 because it doesn't depend on the other.

Divide 122.5 by 14 and your answer would be 8.75

Hope this helps!!!  :)

Also, please give me brainliest if you don't mind.  :)

If you don't want to, then it's okay.  

8.75 hope this answers your question.

Researchers are studying populations of two squirrels, the eastern gray and the western gray. For the eastern gray squirrel, about 22 percent of the population weighs over 0.5 kilogram (kg). For the western gray squirrel, about 36 percent of the population weighs over 0.5 kg. A random sample of 60 squirrels will be selected from the population of eastern gray squirrels, and a random sample of 120 squirrels will be selected from the population of western gray squirrels. What is the mean of the sampling distribution of the difference in sample proportions (eastern minus western)

Answers

Answer:

p₁  -  p₂  = ( -0,28 . 0 )

Step-by-step explanation:

Eastern gray squirrel

Sample size    n₁  = 60

p₁  =  22 %        p₁  = 0,22       then     q₁  = 1 - 0,22      q₁ = 0,88

Western gray squirrel

Sample size  n₂  =  120

p₂ = 36%     p₂ = 0,36     Then    q₂  =  1  - 0,36     q₂  =  0,64

p (s)  = ( p₁ - p₂ ) /√ (p₁*q₁ ) / n₁   +  (p₂*q₂/ n₂)

p(s)  = ( 0,22 -  0,36 ) /√ (0,22*0,88)/60  +  ( 0,36*0,64)/120

p(s)  =  -0,14 /0,071

p(s) = - 1,9718

Then

CI = (  p₁ - p₂ ) ± p(s) *EED

EED =  /√ (p₁*q₁ ) / n₁   +  (p₂*q₂/ n₂)   = 0,071

CI = (  - 0,14  ±  1,9718 * 0,071 )

CI =  ( - 0,14  ±  0,14 )

CI =  ( - 0,28 ;  0 )

we will find with 95% of confidence the mean of the sampling distribution of the difference in sample proportion in the interval  ( -0,28 , 0 )

p₁  -  p₂  = ( -0,28 . 0 )

The sampling distribution of the difference in the proportions between proportion is given by possible values of the difference.

The mean of the difference in sample proportion is; (E) 0.22 - 0.36

Reasons:

The given information are;

Percentage of eastern gray squirrel population weighing over 0.5 kg = 22%

Percentage of western gray squirrel population weighing over 0.5 kg = 36%

Sample size of the eastern gray squirrels = 60

Sample size of the western gray squirrels = 120

Required:

The mean of the sampling distribution of the difference in sample proportions (eastern minus western)

The mean of the difference is given by the difference of the mean.

The mean of the sampling distribution of the difference in the sampling proportion from two populations is; Mean = p₁ - p₂

Where;

p₁ = The proportion of the eastern gray squirrel = 22% = 0.22

p₂ =  The proportion of the western gray squirrel = 36% = 0.36

Therefore;

Mean = p₁ - p₂ = 0.22 - 0.36

The correct option is (E) 0.22 - 0.36

Learn more here:

The possible question options obtained online includes;

[tex](A) \ \sqrt{\dfrac{0.22 \cdot (0.78)}{120} + \dfrac{0.36\cdot (0.64)}{60} }[/tex]

[tex](B) \ \sqrt{\dfrac{0.22 \cdot (0.78)}{60} + \dfrac{0.36\cdot (0.64)}{120} }[/tex]

(C) 60·(0.22) - 120·(0.36)

(D) 0.36 - 0.22

(E) 0.22 - 0.36

Round the 173.235 to the nearest hundredth.

Answers

Answer:

173.200

Step-by-step explanation:

173.235 to the nearest hundredth is 173.23.

A box contains 4 red pens, 3 blue pens, and 5 black pens. A pen is selected at random, not replaced, and then a second pen is selected. Find probability of: P(red, then blue)

Answers

Answer:

bbbbbb

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbb

The probability would be 1/6

hard 9th grade work pls help

Answers

No work free points ;) thx

HELLLPPP I WILL MARK BRAINLIEST

Answers

Answer:part, whole

Step-by-step explanation:

Part, whole

I need help with this one please

Answers

Answer:

1. d) = g)

(3x - 2)(9x² + 6x + 4) = 27x³ - 8

2. e) = f)

(3x + 5) (3x - 4) = 9x² + 3x - 20

3. b) = h)

9x² - 24xy + 16y² = (3x - 4y)²

Step-by-step explanation:

From the above question, we are to find the pairs through expansion or factorisation

a) (3x + 2)(9x² - 6x + 4)

b) 9x² - 24xy + 16y²

c) (4x - 3y)²

d) (3x - 2)(9x² + 6x + 4)

e) (3x + 5) (3x - 4)

f) 9x² + 3x - 20

g) 27x³ - 8

h) (3x - 4y)²

a) (3x + 2)(9x² - 6x + 4)

We expand.

3x(9x² - 6x + 4) + 2(9x² - 6x + 4)

27x³ - 18x² + 12x + 18x² - 12x + 8

27x³ - 18x² + 18x² + 12x - 12x + 8

= 27x³ + 8

c) (4x - 3y)²

We expand

(4x - 3y) (4x - 3y)

4x(4x - 3y) - 3y ( 4x - 3y)

16x² - 12xy - 12xy + 9y²

16x² - 24xy + 9y²

d) (3x - 2)(9x² + 6x + 4)

We expand

3x(9x² + 6x + 4) - 2(9x² + 6x + 4)

27x³ + 18x² + 12x - 18x² - 12x - 8

27x³ - 18x² + 18x² + 12x - 12x - 8

= 27x³- 8

e) (3x + 5) (3x - 4)

We expand

3x(3x- 4) +5(3x - 4)

9x² - 12x + 15x - 20

9x² +3x - 20

h) (3x - 4y)²

We expand

(3x - 4y) ( 3x - 4y)

3x(3x - 4y) -4y(3x - 4y)

9x² - 12xy - 12xy - 16y²

9x² - 24xy - 16y²

Hence:

1. d) = g)

(3x - 2)(9x² + 6x + 4) = 27x³ - 8

2. e) = f)

(3x + 5) (3x - 4) = 9x² + 3x - 20

3) b) = h)

9x² - 24xy + 16y² = (3x - 4y)²

PLEASE HELP ITS DUE IN 10 MINUTES

write a linear function f with the values f(1)=4 and f0=3

Answers

Answer:

Write a linear function f with the values f(2)=−2 and f(1)=1.

So, this is just a different way to say two different coordinates (x, y) and (x1, y1). f(x)=y and f(x1) = y1

We have: (2,-2) and (1,1) and we want to know the equation of the line that goes through those two points.

Find the : M = (y-y1)/(x - x1) = (-2 - 1) / (2 - 1) = -3/1 = 3; M = 3

Find the Y intercept by in one of the points for x and y and solving for B

Y = 3(X) + B

I'll choose the (1,1) to plug in: 1 = 3(1) + B; so B = -2

Put them together in intercept form: Y = 3(X) -2

Step-by-step explanation:

Does this help you understand the steps to take to solve this type of problem? please mark me as brainlest answer hope this helps

On a coordinate grid, point A is at (−3.0, −5.4) and point B is at (−3.0, 5.4). Point B is a reflection of point A across the
–axis. Input either a lowercase x or y. (1 point)

2

Answers

Answer:

y.

Point B is reflected at from point A at y-axis.

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