Ian is borrowing $1000 from his parents to buy a notebook computer. He plans to pay them back at the rate of $60
per month. Ken is borrowing $600 from his parents to purchase a snowboard. He plans to pay his parents back at
the rate of $20 per month. a) Write an equation that can be used to determine after how many months the boys will owe the same amount.
b) Determine algebraically and state in how many months the two boys will owe the same amount. State the
amount they will owe at this time.
c) Ian claims that he will have his loan paid off 6 months after he and Ken owe the same amount. Determine and
state if Ian is correct. Explain your reasoning.

Answer:

1/100 to 25/100

or

0.01 to 0.25

Step-by-step explanation:

Pennies are also known as one per cent. Cent refers to 100 and pennies are called one per cent because they value 1 out of 100. 100 pennies equal one dollar.

Similarly, one quarter is 1/4 of a dollar and 1/4 equals 25/100 when multiplying the numerator and denominator by 25.

Answer: See step by step. Replace the x with theta

Step-by-step explanation: Since sin is less than zero, and secant is positive. This means the trig values are in Quadrant 4.

We know that secФ=17/15. We need to find sin,cos,tan,csc, and cot.

We can find tangent by using the identity

[tex]tan^{2} (x)+ 1=sec^{2} (x)[/tex] where x is theta.

[tex]tan^{2} (x)+1=\frac{289}{225}[/tex]

[tex]tan^{2} (x)+\frac{225}{225} =\frac{289}{225}[/tex]

[tex]tan^{2}(x)=\frac{64}{225}[/tex]

tan x=[tex]\frac{8}{15}[/tex], Tangent in the fourth  quadrant is negative  so  the answer is instead

[tex]tan x= -\frac{8}{15}[/tex]

We can find cotangent by taking the recipocial of tan so

[tex]cot=-\frac{15}{8}[/tex]

We can find cos by taking reciprocal of sec remeber that cosine is positive in 4th quadrant so the answer is

[tex]cos =\frac{15}{17}[/tex]

We can find sin by doing quoteint identies.

[tex]\frac{sin x}{cos x} =tan x[/tex]

[tex]\frac{ sin x}{15/17} =-\frac{8}{15}[/tex]

[tex]sin x= -\frac{8}{17}[/tex]

To find csc, take reciprocal of sine.

[tex]csc=\frac{-17}{8}[/tex]

Answer:

1. r = 2.5 mm

2. r = 12ft

3. d = 34 cm

for 4-6 you  use 2(pi) r

4. 25.1 ft

5. 40.8 cm

6. 22 mi

Answer is below. Look at the explanation in order to understand my answer.

To find the diameter, you'll have to get the radius in order to solve the diameter.

Since you said r = 17cm, we should be solving for diameter.

The formula is d = 2r

R will represent the radius.

You'll multiply the 2 by the radius.

Like i've said, R will represent the radius. The radius is 17.

With that being said, we can do the math.

The formula will be: d = 2r → d = 2 × 17

2 times 17 is 34.

The diameter would be 34.

Let me know of question or concerns about my answer.

Answer:

x = 4

m<cdb = 82

Step-by-step explanation:

The exterior angle thm states that the exterior angle of a triangle is equal to the sum of the opposite interior angles:

7x + 2 + 17x = 98

24x + 2 = 98

24x = 96

x = 4

m<cdb =

y + 98 = 180

y = 180 - 98

y = 82

Answer:

The difference of the means is 2 times the MAD

Step-by-step explanation:

Mean of data set A = 42

Mean of data set B = 47

MAD of both data sets = 2.5

Difference of their means = 47 - 42 = 5

Thus, the difference of their means = 2 × the MAD

= 2 × 2.5 = 5

Therefore:

The difference of the means is 2 times the MAD

Answer:

Step-by-step explanation:

[tex]a_1=-4\\\\a_2=a_{1+1}=a_1+3=-4+3=-1[/tex]

Answer:

y=-2x + 3

Step-by-step explanation:

Answer:

y=-2x + 3

Step-by-step explanation:

(0,3) is the y intercept and

-2 is the slope

Answer:

x = 7

Step-by-step explanation:

The segment from the centre at right angles to the chord, bisects the chord, so

x = 7

Answer:

In order two straight lines in a coordinate plane intersect, they MUST have different slopes.

This condition is  NECESSARY  and  SUFFICIENT.

Step-by-step explanation:

The key feature of the functions that are needed to determine if the lines intersect are;

From straight line geometry, we can conclude that two parallel lines whose slope are equal can never intersect.

On this note, for the functions described in the question, the functions only intersect when the slopes are different.

Additionally, the functions may intersect in the event of having equal y-intercepts.

Read more on slope and y-intercept;

https://brainly.com/question/25722412

Answer:

jiri's age is 66 years old

Step-by-step explanation:

76-10= 66 years old

Answer:

5ft

Step-by-step explanation:

Volume = length x width x height

5 x 3 x h = 75

15h = 75

h = 5

Answer:

AC = 2

BC = [tex]2\sqrt{2}[/tex]

CD = 4

CF = 4

BD = [tex]2\sqrt{2}[/tex]

DE = 8

EF = [tex]4\sqrt{2}[/tex]

DF = [tex]4\sqrt{2}[/tex]

Step-by-step explanation:

Since all of these are isosceles triangles, it means both legs of every triangle are congruent to each other. So,

Given: AB = 2

Find:

AC = AB = 2

BC = [tex]2\sqrt{2}[/tex]

CD = 4

CF = CD = 4

BD = BC = [tex]2\sqrt{2}[/tex]

DE = 8

EF = [tex]4\sqrt{2}[/tex]

DF = EF = [tex]4\sqrt{2}[/tex]

Answer:

The answer is 40

Step-by-step explanation:

If you have to say how long it will take, it will take 40 min. 200÷5=40

Answer:

48+25.12=73.12

Step-by-step explanation:

6 baked a cake forty eight

8*4/2=16

Answer: 73.12in

Step-by-step explanation:

Answer:

x = - 1

Step-by-step explanation:

The axis of symmetry is a vertical line located at the midpoint of the zeros.

Equation is then

x = [tex]\frac{-5+3}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 , that is x = - 1

Answer:

1:2

Step-by-step explanation:

For 1 girl there are 2 boys. This means fro 2 girls there would be 4 boys. You use the ratio girls over boys to answer this.

:)

its not allowing me to send it. can i send somewhere else?

Step-by-step explanation:

Answer:

245

Step-by-step explanation:

70% =.07

350 × .07 =245

Answer:

A

Step-by-step explanation:

Answer:

A. W

Step-by-step explanation:

The table in which each x-value is related to exactly one y-value is the table that represents a function.

Form the tables given, in table W, every x-value (input) has exactly one y-value (output) that is related to it.

The correct table that represents a function is table W

For a table of values to be a function, the input values also known as the domain of the function must NOT have a repeated values.

Hence the correct table that represents a function is table W

Learn more on functions and tables here: https://brainly.com/question/3632175

Answer:

320

Step-by-step explanation:

960 ÷ 120 = 8

40 × 8 = 320

Answer:

1 and 1/10 from the school

3/5=6/10

1/2=5/10

6/10+5/10= 11/10

11/10=1 1/10

Answer:

Hi! The answer to your question is m = -[tex]\frac{11}{9}[/tex]

Step-by-step explanation:

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Hope this helps!!

- Brooklynn Deka

Answer:

f

Step-by-step explanation:

f

Answer:

1

Step-by-step explanation:

5^0 = 1.  Any base to the power 0 returns the value 1.

Answer:

63 feet.

Step-by-step explanation:

The total diameter of the circular garden is given by 5ft+ 10 ft + 5 ft= 20 feet

As the circumference of the circle = 2πr where r = radius obtained by dividing the diameter by 2. Here the diameter = 20 feet and r= d/2 = 20/2 = 10 feet

Putting the values in the circumference formula

Then C= 2(22/7) (10)= 62.85 feet

Rounding gives almost 63 feet .

Answer:

first root -2 and the second is 10

Step-by-step explanation:

delta=b squared-4ac=64-4(-1)(20)=144>0

then we have 2 +roots

x1= -b+ radical delta/2a =-2

x2=-b - radical delta/2a=10

The value of m for which -x² +8x+m=0 to have two positive roots is m ≤ 0.

A polynomial is an expression that involves the addition, subtraction and multiplication of variables.

A quadratic polynomial is a polynomial of degree 2.

Given that:

f(x)=-x² + 8x + 20

To determine the values of m for which -x² +8x+m=0 would have two positive roots​

For -x² +8x+m=0 to have two positive roots, m ≤ 0.

The value of m for which -x² +8x+m=0 to have two positive roots is m ≤ 0.

Find out more on polynomial at: https://brainly.com/question/2833285

Answer:

C

Step-by-step explanation: