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Arthur's brother wants to borrow some money. Arthur decided to lend him $1000 at 2% simple interest. If the loan will cost his brother $50, how much time does he have before he has to pay Arthur back. (See Example 2 in your notes.)

a
2 years
b
2.5 years
c
3 years
d
3.5 years

Answer:

12.5 x 8 x 2 = 200 in ³

Step-by-step explanation:

Answer:

3 < M - N < 9

Step-by-step explanation:

First, let's write the inequalities for these two numbers.

"a number greater than -3 and less than -2"

 -3 < N < -2

"a number greater than 1 and less than 6"

1 < M < 6

We want to subtract the first one to the second one, so we want to get:

M - N

Because this is a subtraction, the lower bound of the subtraction happens when we have the minimum value of M and the maximum value of N.

Then the minimum value of M - N happens when:

M = 1

N = -2

(notice that M can't be equal to 1, and N can't be equal to -2, we just do this to find the lower bound)

Then the lower bound is:

M - N = 1 - (-2) = 3

We already got:

3 < M - N

For the upper bound, we need to find the difference between the largest value of M, and the lowest value of N

This is:

M = 6

N = -3

M - N = 6 - (-3) = 9

Then:

M - N < 9

If we take both of our results, the possible values of the subtraction are given by:

3 < M - N < 9

The result of subtracting a number greater than -3 and less than -2 from a number greater than 1 and less than 6 is mathematically given as

3 < M - N < 9

Question Parameter(s):

-3 < N < -2

1 < M < 6

therefore,

subtraction for lower bound

M - N = 1 - (-2)

M - N = 3

3 < M - N

subtraction for upper bound

M - N = 6 - (-3)

M - N = 9

M - N < 9

In conclusion,  the possible values after subtraction are

3 < M - N < 9

Read more about Inequality

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Answer:

Discriminant:

Since D > 0, there are 2 real solutions:

Answer:

t x 1/8 = n 1/8 = 0.125 in decimal form!!

Step-by-step explanation:

Answer:

option D

Step-by-step explanation:

7 1/2 divided by 3.4 = 10.  

The student will need 10 dance classes to learn the routine.

Answer:

A.

mean=82.286

Rounded to the tenths place would be= 82.3

Step-by-step explanation:

The Mean is found by adding all of the values together

Then dividing it by how many values there are.

In this instance, all the values added up equal 576

576 now will be divided by how many temperatures are recorded.

576/7=82.286

82.286 Rounded to nearest tenth=82.3

Step-by-step explanation:

Given that,

Length, l = (3d+2) m

Width, b = (d+5) m

(a) Perimeter of the rectangle,

P = 2(l+b)

P = 2(3d+2+d+5)

= 2(4d+7)

P = 8d+14

(b) If P = 30 cm.

8d+14 = 30

8d = 16

d = 2

(c) l = (3(2)+2) = 8 m

b = (2+5) = 7 m

The area of this rectangle,

A = lb

A = 8×7

A = 56 cm²

Hence, this is the required solution.

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given

x² - 2x + 2 = 0 ( subtract 2 from both sides )

x² - 2x = - 2

To solve use the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 1)x + 1 = - 2 + 1

(x - 1)² = - 1 ( take the square root of both sides )

x - 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 1 to both sides )

x = 1 ± i , then

x = 1 + i or x = 1 - i → C

Answer: 13:1

Step-by-step explanation:

Number of candies = 1170

Number of gumdrops = 1080

Number of chocolate bars = 90

The ratio of candies to chocolate bars will be calculated thus:

= Number of candies / Number of chocolate bars

= 1170 / 90

= 13/1

= 13:1

Therefore, the ratio of candies to chocolate bars is 13:1.

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]

2a=a+10+44°[exterior angle of a triangle is equal to the sum of two opposite interior angle]

2a-a=54°

a=54°

.so

exterior angle=2×54°=108°is your answer

Answer:

D. 16 times.

Step-by-step explanation:

Volume of a cylinder = π r^2 h

π r^2 h = 432

Now if the diameter is reduced by 1/4 then the radius is reduced by a fourth also.

Let the new height be H, then:

432 = π (r/4)^2 H

so π r^2 h = π(r/4)^2 H

r^2 h = r^2 H / 16

h = H/16

H = 16h.

Answer: (not sure)

half of 2/8 is 0.125 and half of 8/16 is 0.25

if you want half of both together it's 0.625

Step-by-step explanation:

Answer:

-1.25

Step-by-step explanation:

y= -1.25x+6.5

Answer:

I don't know because I don't know how many total marbles there are. If you know how many marbles there are in total that would help me figure out the problem.

Step-by-step explanation:

Answer:

0.18

Step-by-step explanation:

Answer:

.18

Step-by-step explanation:

The experiment occurred 45 times, lemon was selected 8 times.

Probability the next chew will be lemon:

8/45=0.17777... = .18

Answer:

well yes he has 2.4 extra

Step-by-step explanation:

1 meter is 3.28 feer so 3.28 x 16 is 52.4 and he only need 50.

hoped this hlepd and you have to give me brailyest. i just want to help...

Answer:

yes

Step-by-step explanation:

well we can just multiply the 3 with the 16

well now we have 48

add 28,     16 times which gives us 4.48

48+4.48 52.48

you have 2.48 feet left

and yes he has enough

now, about that deal.....

Answer: it is 0.28 C

Step-by-step explanation: I got it right in khan

Answer:

QTS=STQ=STR

Step-by-step explanation:

The two solutions of the inequality -X > 10 are -15 and -11

a relationship between two expressions or values that are not equal to each other is called 'inequality.

To solve the inequality -X > 10, we need to isolate the variable X on one side of the inequality.

We can start by multiplying both sides of the inequality by -1 to get:

X < -10

This means that any value of X that is less than -10 will satisfy the inequality.

Therefore, two possible solutions to the inequality are:

X = -15 (since -15 is less than -10, the inequality -X > 10 is true)

X = -11 (since -11 is also less than -10, the inequality -X > 10 is true)

Note that there are infinitely many possible solutions to the inequality, since any value of X that is less than -10 will work.

Hence, the two solutions of the inequality -X > 10 are -15 and -11

To learn more on Inequality click:

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Answer:

40

Step-by-step explanation:

14/35 = f/100

35f = 14 x 100

f = 14 x 100 /35

f = 40

Answer:

40

Step-by-step explanation:

Well, 35% of 40 is 14, but I'm not confident on what it wants when it suggests to answer as a numeric expression. But, if it means in it's unadulterated, unsimplified, primitive nature, then sure, let me list the work below.

14/.35

There.

Answer:

20 -20 0-15 0-5

Step-by-step explanation:

The original graph

Hope this helps you :)

Answer:

The correct answer is (3, 9)

Step-by-step explanation:

The rule for reflecting over the X-axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X-axis and mapped onto point P', the coordinates of P' are (5,-4).

Answer:

x= 14.8

Step-by-step explanation:

√12²+8²= 4√13

56.3= sin-¹(12/4√13)

tan56.3= 21.6/4√13

x+8= √21.6²+4√13²

x= 14.8

Answer:

84

Step-by-step explanation:

7x3x4

,,,,,,,,,,,,,,,,

Answer:

84 in^3

v=length x width x height

Why do u need pi in this, there are no circle or sphere or cone, or whatever

hope that answers your question

good luck and stay safe

Step-by-step explanation:

Answer:

Possibly C, but im sorry if im wrong

Step-by-step explanation:

Answer:

Blue 7/17 = Nearly 0.41

Red 6/17= Nearly 0.35

4/17= Nearly 0.23

Step-by-step explanation:

The Probability is 13/17 if im wrong then sorry i havent done this in a while

Answer:they have many different angles!

Step-by-step explanation:

Answer:

take 48 and 58 and combined. also please look at my math

Answer: If a cone is intersected by a plane parallel to the base, then the cross section is a circle.

Step-by-step explanation:Cones are circular