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5 cm
8 cm

Given :

When Colby was born, his parents invested $1,000 in a fund that paid an

annual interest of 8%.

To Find :

How old will Colby be when the investment is worth  at least $4,000 .

Solution :

Let, time taken is x years.

So, the formula is :

[tex]P = A_o + \dfrac{A_o \times r\times t}{100}\\\\4000 = 1000 + \dfrac{1000\times 8\times t}{100} \\\\80t = 3000\\\\t = \dfrac{3000}{80} \ years\\\\t = 37.5\ years[/tex]

Therefore, Colby will be 37.5 years old.

The age of Colby will be [tex]37.5[/tex] years.

The amount after t years is given by,

                            [tex]A=P+(\frac{P*r*t}{100} )[/tex]

Where P is principal, r is rate and t is time in years.

Given that, [tex]A=4000,P=1000,r=8\%[/tex]

Substitute values in above equations.

                    [tex]4000=1000+\frac{1000*8*t}{100} \\\\\frac{1000*8*t}{100}=3000\\\\t=37.5years[/tex]

Learn more about the investment here:

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Answer:

Please check the explanation.

Step-by-step explanation:

Question 1)

Input, x                            Output, y

0                                       0

1                                         4

2                                        8

3                                       12

It is clear that the values of input 'x' and output 'y' are changing in constant proportions. It means the rate of change must be constant. Thus, this represents a linear function.

Finding the slope between (0, 0) and (1, 2)

slope = m = y₂-y₁ / x₂-x₁

                 = (2-0) / (1-0)

                  = 2 / 1

                  = 2

Thus, the slope = m = 2

We know that the y-intercept can be obtained by setting x = 0 and solving for y.

It is clear at x = 0, y = 0

Thus, the y-intercept b = 0

We know that the slope-intercept form of linear equation

y = mx+b

substitute m = 2 and b = 0

y = 2x + 0

y = 2x

Thus, the equation that describes the equation is:

y = 2x

Question 2)

The output is eleven more than the input.

As 'y' represents the output.

'x' represents the input.

so

y = x+11

Question 3)

The output is the cube of the input.

As 'y' represents the output.

'x' represents the input.

so

y = x³

Question 4)

The output is one more than twice the input.

As 'y' represents the output.

'x' represents the input.

so

y = 2x+1

Question 5)

y = 7x

substitute x = -5

y = 7(-5)

y = -35

Answer:

Answer:

Slope = [tex] \frac{4}{3} [/tex]

Y-intercept = 5

Step-by-step explanation:

ΔABC is similar to ΔFED.

AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.

Hence side AB corresponds to side FE.

CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.

Hence side CB corresponds to side DE.

Answer:

1.  EF in ΔFED corresponds to AB in ΔABC.

2. DE in ΔFED corresponds to CB in ΔABC.

3. The length of DF is 10.

Step-by-step explanation:

Given: ΔABC is similar to ΔFED. Find the length of DF.

To Find: The length of side DF in ΔFED

Since, ΔFED is a right-angled triangle and also similar to ΔABC,

Applying similarity of triangles principle,

AB = 4  ,  EF = 8

BC = 3  ,  DE = 6

Now, applying Pythagorean theorem on ΔFED,

Hypotenuse² = Length² + Base²

⇒ DF² = DE² + EF²

⇒ DF² = 6² + 8²

⇒ DF² = 100

⇒ DF = √100

⇒ DF = 10

Final Answer: Hence the length of side DF is 10.

Answer:

x = 8

y = 14

the short stanzas contain 8 lines

the long stanzas contain 14 lines

Step-by-step explanation:

lets call the short stanzas x

and the long stanzas y

using given information, you can make this equation

9x + 9y = 198

you can also make this equation

9x + 6y = 156

simplify the first equation

9x + 9y = 198

9x = 198 - 9y

x = 198/9 - y

x = 22 - y

substitute x for 22 - y in the second equation to find y

9(22 - y) + 6y = 156

198 - 9y + 6y = 156

-9y + 6y = -42

-3y = -42

y = 14

substitute y for 14 in the first equation to find x

9x + 9y = 198

9x + 9*14 = 198

9x + 126 = 198

9x = 198-126

9x = 72

x = 72/9

x = 8

Answer:

1. y= 2/5x+11

2. y=3x-15

2y-5x=9

Step-by-step explanation:

I did this already

Answer:

36.66

Step-by-step explanation:

Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.

Answer:

36.66

Step-by-step explanation:

Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.

Answer:

21

Step-by-step explanation:

Y=4x+1

y=4(5)+1

substitute and solve

Answer

21

Step-by-step explanation:

Answer:

15 Percent

Step-by-step explanation:

Answer:

C. c = -4

Step-by-step explanation:

you must get c by itself. you have to divide both sides by 10. this gets rid of the 10c and keeps both sides equal

-40/10 = c

c = -4

Answer:

166

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that:

percentage of sample proportion = 76%

sample size = 100

Given that the sample proportion estimate is unbaised of the population proportion, then the percentage of all American movie-goers who think popcorn is overpriced is = 76%. Also, the mean of the sampling distribution appears to be independent of the sample size. Then, the estimate of the percentage will equally remain the same regardless it is even a sample of size 10000.

Answer:

A. 2^x = 2^3 = 2*2*2 = 8

B. x^2 = 3^2 = 3*3 = 9

C. 1^x = 1^3 = 1*1*1 = 1

D. x^1 = 3^1 = 3

E. [tex](\frac{1}{2})^x = (\frac{1}{2})^3 = (\frac{1}{2})(\frac{1}{2})(\frac{1}{2})=\frac{1}{8}[/tex]

Answer:

(4rs)^2 = 16r^2s^2

This is how I would rewrite it as a power of a product.

As a power of a product, we can write the expression as -

(4rs)².

Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -

[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]

where -

[b] = base of the logarithm

[x] = exponent

Given is the expression as follows -

16r²s²

We can write the expression given -

16r²s²

As a power of a product, we can write -

(4 x 4 x r x r x s x s)

(4² x r² x s²)

(4rs)²

Therefore, as a power of a product, we can write the expression as -

(4rs)².

To solve more questions on exponents, visit the link below -

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Answer:

A - ASA

B - ASA

C - SAS

D - SSS

Step-by-step explanation:

I hope this helps you out!

Answer:

It was originally sold at roughly $4.887

Step-by-step explanation:

1)  2.20/.45 ≈ 4.8

2) 4.8 x .45 = 2.16

3) 4.88 x .45 = 2.196

4) 4.887 x .45 = 2.19915

The original price of the ice cream is $4.8

Discounting a product means offering it at a lower price than the list price.

Given that, a carton of ice cream sold for $2.20 was on sale for 45% off.

Let the original price of the carton be x.

x*45% = 2.20

x = 2.20*100/45

x = 4.8

Hence, the original price of the ice cream is $4.8

For more references on Discount price, click;

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Answer:

5 = 5

Explanation:

Answer:

im here for the points

Step-by-step explanation:

14

Step-by-step explanation:

4 × 49 =196

The square root of 196 is 14

hope it helps!

Answer:

=  2.1 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expression is incomplete. Let say the expression is 4 (-2u + 7) = 44

Given the expression

4 (-2u + 7) = 44

Step 1: Open the bracket by distributing 4 over -2u and 7

4 (-2u + 7)= 44

4(-2u) + 4(7) = 44 (distributive property)

-8u + 28 = 44

Step 2: Subtract 28 from both sides

-8u + 28 - 28 = 44 - 28  (subtraction property of equality)

-8u  = 16

Step 3: Divide both sides by -8

-8u/-8 = 16/-8 (division property)

u = -2

Answer: A

The addition property of equality and then the division property of equality

Step-by-step explanation:

just did the quiz

Answer:

90

Step-by-step explanation:

times 15 and 6 maybe

Answer:

y =4(x-3)^2+2 => y=4x^2-24x+38

y=2(x-3)^2+4 => y=2x^2-12x+22

y=2(x+3)^2+4 => y= 2x^2+12x+22

Y= 4(x+3)^2+2 => y= 4x^2+24x+38

Step-by-step explanation:

Answer:

3/8 of a pizza