PLEASE HELP! 13 POINTS

jacks mom purchased a savings bond for jack. the value of the savings bond increases by 5% each year. one year after it was purchased, the value of the savings bond was $210. find the value of the bond when jacks mom purchased it.

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Explanation:

The old dimensions of the rectangle were 30 by 15.

The new dimensions are 30+x by 15+x, where x is some positive number.

The new rectangle dimensions multiply to 1000

(30+x)(15+x) = 1000

Use the FOIL rule to expand out the left side like so

(30+x)(15+x) = 1000

450+30x+15x+x^2 = 1000

450+45x+x^2 = 1000

x^2+45x+450

Then lets get everything to one side

x^2+45x+450 = 1000

x^2+45x+450-1000 = 0

x^2+45x-550 = 0

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From here we use the quadratic formula

Plug in a = 1, b = 45, and c = -550.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(45)\pm\sqrt{(45)^2-4(1)(-550)}}{2(1)}\\\\x = \frac{-45\pm\sqrt{4225}}{2}\\\\[/tex]

[tex]x = \frac{-45\pm65}{2}\\\\x = \frac{-45+65}{2} \ \text{ or } \ x = \frac{-45-65}{2}\\\\x = \frac{20}{2} \ \text{ or } \ x = \frac{-110}{2}\\\\x = 10 \ \text{ or } \ x = -55\\\\[/tex]

Earlier we defined x to be a positive number. This means we ignore x = -55. It makes no sense to add on a negative amount to each dimension.

The only practical answer is x = 10.

So each dimension is increased by 10 feet.

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If x = 10, then the old dimensions of 30 by 15 bump up to 30+10 = 40 by 15+10 = 25

Then note how 40*25 = 1000, which helps confirm we have the correct dimensions.

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Now go back to the question at hand: we want to find the new width. The old width was 30 feet. The new width is 30+x = 30+10 = 40 feet

Answer:

Step-by-step explanation:

It’s 88

By undestanding the theory behind rational functions and functional theory, we conclude that the function have:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

In this question we have a rational function and we must determine its domain and range, whose elements exist if and only if the denominator evaluated at respective point is distinct of zero. Graphically speaking, the domain of the function represents the set of x-values, whereas the range represents the set of y-values.

By a graphing tool (i.e. Desmos) we construct the rational function and derive the following conclusions:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

By undestanding the theory behind rational functions and functional theory, we conclude that the function have:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

To learn more on rational functions: https://brainly.com/question/27914791

#SPJ1

Answer:

Range: (negative infinity, 0) U (0, 1/9) U (1/9, infinity)

Domain: (negative infinity, -3) U (-3, 6) U (6, infinity)

Step-by-step explanation:

100% on the test

Given:

Original price of a TV = $499

Price increased by 15%.

To find:

The new price of the TV.

Solution:

According to the question,

New price of the TV = Original price + 15% of its original price.

[tex]\text{New price of the TV}=499+\dfrac{15}{100}(499)[/tex]

[tex]\text{New price of the TV}=499+74.85[/tex]

[tex]\text{New price of the TV}=573.85[/tex]

Therefore, the new price of the TV is $573.85.

Answer:

4/3 or 1.3

Step-by-step explanation:

y= 3x-4

To find x- intercept/zero, Substuite y=0.

0= 3 x -4

Move the variable to the left-hand side and change its sign

-3x= -4

Divide both sides of the equation by -3

x= 4/3

(1.3 as a decimal)

from Keith as Joaquin.

solve.

Answer:

p= 2r/m^2

Step-by-step explanation:

Answer:

I think the answer is 35x⁴-10

Step-by-step explanation:

3x × 4x=12x²

3x × 5=15x

2 × 4x=8x

2 × -5=-10

15x+8x=23x²

12x²+23x²=35x⁴

35x⁴-10

Answer:

b

Step-by-step explanation:

3(2x+1)-(x-1)

\ / / /

5x+2

Answer:

fgcgfcgchgcchcgccghccghcgcghgghcgchchchgcgcghchgchg

Step-by-step explanation:

Answer and Step-by-step explanation:

The word, "Consecutive" means, "Back-to-back" or "One after the other." Therefore, consider these integers:

1, 2, 3, 4, 5, 6, 7, 8, . . .

If we write down these integers in such a way that only even integers follow back-to-back, we have:

2, 4, 6, 8, . . .

If we write down these integers in such a way that only odd integers follow back-to-back, we have:

1, 3, 5, 7, . . .

Since 2, 4, 6, 8, . . . Are all even integers that follow back-to-back, then this is known of consecutive even integers.

Since 1, 3, 5, 7, . . . Are all odd integers that follow back-to-back, then this is known of consecutive odd integers.

Answer:

(-2, 15), (-1, 11), (0, 7), (1, 3), (2, -1)

Step-by-step explanation:

so i just took possible x values and plugged them into the equation, and from there you can solve for y.

Answer:

no

Step-by-step explanation:

it does not fall on the line

Answer:

bsgdhv is the ghj is the most

Answer:

4 more hours.

Step-by-step explanation:

So, to calculate the remaining time Jill has to drive, we have to first find out how much distance Jill has left to cover:

[tex](450 - 250)[/tex] miles

= [tex]200[/tex] miles

So, at a rate of 50 miles per hour, Jill has to drive:

[tex]\frac{200}{50}[/tex] more hours

= [tex]4[/tex] more hours

Hope this helped!

Answer:

If the left column is the width then the length is 45

If the right column is width then the length is 7.2

Step-by-step explanation:

ratios

Answer:

y=1/2x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or kx

The value of the constant k is equal to the value of the slope m

In this problem we have the point (8,4)

Find the value of k

y/x=k------> substitute the value of x and y

4/8=k

k=1/2

The equation is equal to

y=1/2x

Answer:

I might be wrong but I think it is A

Answer:

this is not a function because y-values repeat

Step-by-step explanation:

Answer:

D. 43

Step-by-step explanation:

45 + (-5) = 40

40 - 4 = 36

36 + 7 = 43

Answer:

simple

Step-by-step explanation:

-12r+8-2r+2

-14r-10

Answer:To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...

To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

answer is in there at the bottem

Step-by-step explanation:

Answer:

The question makes no sense in my opinion

Answer:

See drawing below.

Step-by-step explanation:

use the equation y=3x+2 to determine points needed, by substituting in the x values of -1, 0, 1, etc.

plot points

(-1, -1)

(0, 2)

(1, 5)

Please give thanks :)

Answer:

true :)

Step-by-step explanation:

hope this helps <3