$200 Principal at 3% for 5 years. Find the interest earned and the balance of the account.

Answer: Please see explanation column for answers

Step-by-step explanation:

When a number  divides into another number without a remainder, it s called a factor of that number.  Lets say we want to  find the common factors of two numbers, we get the  factors of each one and  compare them. The common factor is the one that is found in both lists

While The Highest common factor, is the highest factor number found in both lists.

b) 2b , 3b

Factors of 2b= 1, 2 and b

Factors of 3b=1, 3 and b

Common factors =1 and  b

HCF=1b

e) 5bc, 2c2, 3cd

Factors of 5bc=  1, 5, b, c

Factors of 2c2= 1,  2, c, c2

Factors of  3cd= 1, 3, c, d

Common factors = 1 and c

HCF= 1c

f) 4a2b, 8b2c, 6bcd

Factors of 4a2b=  1, 2, 4, a, a2, b

Factors of 8b2c= 1, 2, 4, 8, b, b2, c

Factors of  6bcd= 1, 2,3,6, b, c,d

Common factors = 1, 2 , b

HCF=  2b

Answer:

$100

Step-by-step explanation:

you have eight bowls so you divide 160 by 8 and you get 20 so each bowl is 20 so 5x20=100

Answer:

100

Step-by-step explanation:

First, calulate the cost of each bowl, so, 160/8=20

Next, calculate how much total it costs, so 20x5, which the answer is $100

Answer:

Step-by-step explanation:

-8 > 4 +2v ; subtract 4 from both sides

-8-4 > 4-4 +2v; calculate

-12 > 2v; divide both sides by 2

-6 > v

TO Know:

apply the same operation to both sides of inequality

if the operation is dividing or multiplying by a negative number change the direction of the inequality

The question is incomplete ; we could calculate the least number of cars he can still wash for the week expressed in inequality form.

Answer:

x > 13 ; 13

Step-by-step explanation:

Given that :

Anticipated work hour for entire week = 60.2 hours

Hours worked = 27.7 hours

Rate of car wash = 2.5 per hour

Hours left to work for the week :

60.2 - 27.7 = 32.5

Hours left / unit rate of car wash

32.5 / 2.5

= 13

Hours worked +( hours left * unit rate) > anticipated hours

27.7 + 2.5x < 60.2

2.5x > 60.2 - 27.7

2.5x > 32.5

x > 32.5 / 2.5

x > 13

Hence ; Sam could still wash over 13 cars this week

Answer:

They intersect

Step-by-step explanation:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel.

Here we have two functions:

1) y = 4x + 2

2) 8x + 2y = - 3

   2y = - 8x - 3

   // divide both sides by 2

   y = - 4x - 1,5  

- 4 ≠ 4 , so these lines aren't parallel, maybe you wrote the assignment incorrect (e. g. if there would be " - " before 8 in the second function, those lines would be parallel), here they intersect.

Answer:

YES HE CAN

Step-by-step explanation:

Answer:

when you have Bob anything is possible

Answer:

Step-by-step explanation: 30%

Answer:

y = -15x

20, 26, 32, 38, 44

Step-by-step explanation:

In the first question, the y-value is increasing by -15 as the x-value increases by 1.

In the second question, the terms given are increasing by 6, so continue to add 6 to get the next 5 terms.

Answer:

3

Step-by-step explanation:

7.2 ÷ 2.4 = 3

Answer:

Part A: S^2= 3V/H

Part B: S =[tex]\sqrt{3\frac{v}{h} }[/tex]

Part C: s=√3* 2,433,400 /138=230 metres

Part D: This website says that the length of Khufu's Pyramid is about 230 meters. My calculation was correct.  

Part E: S = √3*2,115,072/ 136 =216 metres

Part F: The length of Khafre's pyramid is about 215.5  My calculation was a little off, but not by much.

Part G: 14 meters longer

Step-by-step explanation:

Part A:

I am going to solve:

So,

V=1/3 [tex]HS^{2}[/tex]

Then, multiply both sides by 3:

V x 3= 1/3 [tex]HS^{2}[/tex] x 3

So,

3V=[tex]HS^{2}[/tex]

Then, we divide by H:

[tex]\frac{3V}{H}[/tex]=[tex]\frac{HSs^{2} }{H}[/tex]

So,

[tex]\frac{3V}{H}[/tex]= [tex]s^{2}[/tex]

Then switch sides:

[tex]s^{2}[/tex]= [tex]\frac{3V}{H}[/tex]

I hope this helps!

Answer:

(-5,8)x(2,4)

Step-by-step explanation:

Answer:

i dont know what you are asking to find but i got this

Step-by-step explanation:

find h(g(t)): h(2t+4)=8t+17

find g(h(t)): g(4t+1)=8t+6

Answer:

they should get 8/3 each but because of your question the answer lies between 2 and 3

Step-by-step explanation:

if 3 cats and 8 once then 8 divided by 3 is 8/3 which is about 2/6667 then that is between 2 and 3. Done!

Answer:

One bottle of soap will hold 3/8

Step-by-step explanation:

3/4= The amount of soap she has in total

3/4= 6/8 which is the same amount but now we can divide it by 2

.75 (6/8) divided by 2= .375 (3/8)

So each soap dispenser will have 3.75 liters of soap.

Sentences: To check our work

.375x2= .75

3/4 divided by 2= 3.75

Answer:

27

Step-by-step explanation:

The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...

If 2 is a_0, 6 is a_1, 18 is a_2, etc.

a_n=2*3^n

For the 14th term, which is a_13, the value is 2*3^13.

Using a calculator because I'm too lazy to calculate 3^13 sorry, we can get.

3188646

The required 14th term will be 3188646 in the given geometric sequence.

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Where a is the first term, r is the common ratio

The geometric sequence is given in the question, as follows:

2, 6, 18,...

We have to determine the 14th term of the given geometric sequence.

As per the given geometric sequence,

The first term a = 2.

The common ratio r = 6/2 = 3

14th term = arⁿ⁻¹

Substitute the value of a = 10, r = -2, and n = 12 in the formula,

14th term = 2(3)¹⁴⁻¹

14th term = 2(3)¹³

14th term = 2(1594323)

14th term = 3188646

Thus, the required 14th term will be 3188646.

Learn more about geometric sequence here:

brainly.com/question/21087466

#SPJ2

Answer:

Step-by-step explanation:

D

Answer:

(5, -3)

(-5, 3)

Step-by-step explanation:

Reflecting across the x-axis makes the y coordinate change from a positive to a negative and reflecting across the y axis makes the x value negative.

Answer:

[tex]y= 10+12.5x[/tex]

Step-by-step explanation:

Given data

He paid $10 for parking and

$12.50 per ticket.

let the number of tickets be x

and let the total cost be y

Hence the expression in terms of x and y is

[tex]y= 10+12.5x[/tex]

Answer:

no

Step-by-step explanation:

no

Answer

.4 percent

Step-by-step explanation:

Answer:

.5%

Step-by-step explanation:

Answer:

d

Step-by-step explanation:think dude  it d duh

Answer:

All you have to do is multiply 5 and 3 by specific gaps in between new numbers then subtract 30. Keep doing that until you get evenly matched numbers.

Step-by-step explanation:

The answer is 15, it would take 15 seconds for Alan to reach Sasha.

Answer:

a>6

Step-by-step explanation:

Answer:

98.88

Step-by-step explanation:

98.88 bru :)                              hope this helps you out bro.

f(x)/g(x)

(x2-1)/(x-1)

x cannot equal 1 because this would render the denominator, also known as the divisor, as zero.

x can be greater than 1.

If you would like, we can factor the numerator...

x2-1

(x+1)(x-1)

FIRST...(x)(x)=x2

OUTER...(x)(-1)=-1x=-x

INNER...(1)(x)=1x=x

LAST...(1)(-1)=-1

x2-x+x-1

x2-1

So...

f(x)/g(x)=[(x+1)(x-1)]/(x-1)

(x-1) is in the numerator and denominator.  It cancels...

f(x)/g(x)=(x+1)

Answer:

x = 51

Step-by-step explanation:

x = 180 - (2x - 8) - (180 - 153)

x = 180 - 2x + 8 - 27

3x = 180 - 27

3x = 153

x = 51

Answer:

80.5

Step-by-step explanation:

2x-8 + x =153

Answer:

[tex]15:31[/tex]

Step-by-step explanation:

To find the amount of total students, you would do this:

[tex]15+16=31[/tex]

Since there are [tex]15[/tex] girls, the [tex]girls[/tex] to [tex]total students[/tex] ratio would be [tex]15:31[/tex].

Answer:

280

Step-by-step explanation:

160 divided by 4 is 40 then times that by 7 and u get 280

Answer:

280 miles

Step-by-step explanation:

First you have to find how many miles a car travels in 1 hour. (160 ÷ 4 = 40).

Then, once you find that, you multiply 40 by 7. (280)

Hope this helps!