Jerry has invested $1500 into a savings account that paid him 8.25% interest, what will the balance of his account be after 6 years?
Please Explain!

Answer: For 1 cup of flour, there should be 6 teaspoons of vanilla.

Step-by-step explanation:

What I did is that I found what 1 ÷ 2/3 equals. To find that, I used the reciprocal so the new equation would be 1 × 3/2 which equals 3/2. So since 2/3 × 3/2 equals 1, we have to do the same to 4 teaspoons. 4 × 3/2 equals 6. Therefore, there should be 6 teaspoons of vanilla for every one cup of flour.

Hope this helps! Don't hesitate to ask for clarification.

Answer:

45/1 and 180/4

Step-by-step explanation:

1. True

[tex]\dfrac{90}{2}=\dfrac{45\cdot 2}{1\cdot 2}=\dfrac{45}{1}[/tex]

2. False

[tex]\dfrac{15}{3}=\dfrac{3\cdot 5}{3\cdot 1}=\dfrac{5}{1}\neq \dfrac{45}{1}[/tex]

3. False

[tex]\dfrac{180}{3}=\dfrac{60\cdot 3}{3\cdot 1}=\dfrac{60}{1}\neq \dfrac{45}{1}[/tex]

4. True

[tex]\dfrac{180}{4}=\dfrac{45\cdot 4}{1\cdot 4}=\dfrac{45}{1}[/tex]

5. False

[tex]\dfrac{270}{8}=\dfrac{135\cdot 2}{4\cdot 2}=\dfrac{135}{4}\neq \dfrac{45}{1}[/tex]

Answer:

Step-by-step explanation:

Solve the inequality -x/2 ≤ 1.  Let's eliminate the fraction first, by multiplying both sides by 2:

-x ≤ 2

We want to solve for +x, not for -x.

Therefore, divide both sides of this latest inequality by -1, remembering to reverse the direction of the inequality sign:

-x ≤ 2  →  x ≥ -2

Any number raised to the power of 0 equals 1.

(-481)^0 = 1

Answer:

1

Step-by-step explanation:

All numbers to the power of 0 is 1 with this reason:

x³

x² = x³/x

x¹ = x²/x

x⁰ = x/x

All numbers divided by itself is 1.

Answer:

1 hour 95 min. 2 hour 190 min. third hour 285 min. fourth hour 380 min.

Step-by-step explanation:

Answer:

the surface area of the rectangular prism is 172m

Final answer:

The solution (40, 50) to the system of equations indicates that after 40 minutes, Laura has read 40 pages and Carl, with a head start, has read a total of 50 pages, option D.

Explanation:

The solution to the system of equations (40, 50) represents the amount of time Laura has spent reading and the number of pages both Carl and Laura have read. In this context, 'x' represents the number of minutes Laura has been reading her copy of the book, and 'y' represents the number of pages each person has read. Therefore, the solution (40, 50) means that after Laura has been reading for 40 minutes, Laura has read 40 pages, and Carl, who had a 10-page head start, has read a total of 50 pages.

Number of people who ate fewer than two apples last week is 10.

The Correct option is (C)

Data are individual pieces of factual information recorded and used for the purpose of analysis.

It can be seen from the graph that,

0 apples eaten by 1 people

1 apples eaten by 9 people

2 apples eaten by 4 people

3 apples eaten by 5 people

4 apples eaten by 0 people

5 apples eaten by 7 people.

According to Condition,

people ate fewer than 2 apples last week= 1+9

                                                                     =10

Thus, 10 people ate fewer than 2 apples last week.

Learn more about data here:

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Answer:

(20+2)(10+9)

Step-by-step explanation:

The area model is written as (a+b)(c+d). To write a multiplication problem into an area model, split it into numbers which add to it. Multiples of 10 are most commonly used.

For example 22*19 becomes (20+2)(10+9).

Answer:

3.5 blocks.

Step-by-step explanation:

After walking 3.5 blocks back she is back at her starting point.

Marilyn has walked 7 blocks in total, going the wrong direction and back to the library. She still needs to walk another 3.5 blocks to reach her house.

Marilyn has already walked 7 blocks (3.5 blocks in the wrong direction and 3.5 blocks back to the library). As her house is 3.5 blocks from the library, she has another 3.5 blocks to walk.

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Answer:

81°

Step-by-step explanation:

By the outside angle theroem, we know that 2 * angle APC is differece of arcs DC and AB.

Angle APC = 27° so the difference is 54°

Arc DC = 27°, so Arc AB =  27° + 54° or 81°.

Answer: - 1/3 I just saw the other answer and got it wrong so I decided to give u guys the right answer !! :)

Answer:

4/5 + 5/5 = 9/5

Step-by-step explanation:

That's one of many ways you can do it

I think that he answer is 1 4/5

Answer:

[tex]x>-4[/tex]

Step-by-step explanation:

Solve like a normal equation by isolating the variable and then dividing by the coefficient.

[tex]-10x<40 \\ \\ x>-4[/tex]

Answer:

x > - 4, or it can be written as (- 4, ∞)

Step-by-step explanation:

- 10x < 40

-10x/10 < 40/10

- x< 4

x > -4

Y = mx + b

2x + 3y = 12

3y = -2x + 12

y = -2/3 + 4

Answer:

y = -2/3x +4

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

2x+3y = 12

We need to solve for y

Subtract 2x from each side

2x-2x+3y = -2x+12

3y = -2x+12

Divide by 3

3y/3 = -2/3 x +12/3

y = -2/3x +4

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let [tex]x_1[/tex] be the number of widgets sold and [tex]x_2[/tex] be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

[tex]x_1+x_2=350...(1)[/tex]

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

[tex]35x_1+22x_2=9,000...(2)[/tex]

From equation (1), we will get:

[tex]x_2=350-x_1[/tex]

Substitute this value in equation (2):

[tex]35x_1+22(350-x_1)=9,000[/tex]

[tex]35x_1+7,700-22x_1=9,000[/tex]

[tex]13x_1+7,700=9,000[/tex]

[tex]13x_1+7,700-7,700=9,000-7,700[/tex]

[tex]13x_1=1,300[/tex]

[tex]\frac{13x_1}{13}=\frac{1,300}{13}[/tex]

[tex]x_1=100[/tex]

Therefore, the company sold 100 widgets.

Substitute [tex]x_1=100[/tex] in equation (1):

[tex]100+x_2=350[/tex]

[tex]100-100+x_2=350-100[/tex]

[tex]x_2=250[/tex]

Therefore, the company sold 250 gizmos.

Answer:

  x1 + x2 = 350

Step-by-step explanation:

The total number of items sold is the sum of the number of widgets sold and the number of gizmos sold:

  (widgets sold) + (gizmos sold) = total items sold

We are supposed to represent widgets sold using x1, and gizmos sold using x2. The total number of items sold is given in the problem statement as 350. Substituting these values into the above equation, we get the equation you're looking for:

  x1 + x2 = 350

Answer:500

Step-by-step explanation:26,000/52=500 i did $26,000 divided by 52 because there are 52 weeks in a year and it gave me 500 so that is how i got the answer

There are 52 weeks in a year, so the annual salary is 52 times the week salary.

So, we have

[tex]\dfrac{26000}{52} = 500[/tex]

which means that Pat makes 500$ a week

Answer:

[tex]f(x)=3(x+2)(x-2)(x-\frac{5}{3})[/tex]

Step-by-step explanation:

The rational roots theorem tells you that given a polynomial function with integer or whole number coefficients, a list of possible solutions can be found by listing the factors of the constant, or last term, over the factors of the coefficient of the leading term.

In your case, for the polynomial [tex]f(x)=3x^3-5x^2-12x+20:[/tex]

So, possible rational roots can be among:

[tex]\pm1,\pm2,\pm4,\pm5,\pm10,\pm20,\pm\dfrac{1}{3},\pm\dfrac{2}{3},\pm\dfrac{4}{3},\pm\dfrac{5}{3},\pm\dfrac{10}{3},\pm\dfrac{20}{3}.[/tex]

Note that

[tex]f(-2)=3\cdot (-2)^3-5\cdot (-2)^2-12\cdot (-2)+20=-24-20+24+20=0.[/tex]

This means that [tex]x=-2[/tex] is a root of the polynomial and [tex]x-(-2)=x+2[/tex] is the factor. Also

[tex]f(2)=3\cdot 2^3-5\cdot 2^2-12\cdot 2+20=24-20-24+20=0.[/tex]

This means that [tex]x=2[/tex] is a root of the polynomial and [tex]x-2[/tex] is the factor. Also

[tex]f(\frac{5}{3})=3\cdot (\frac{5}{3})^3-5\cdot (\frac{5}{3})^2-12\cdot \frac{5}{3}+20=\frac{125}{9}-\frac{125}{9}-20+20=0.[/tex]

This means that [tex]x=\frac{5}{3}[/tex] is a root of the polynomial and [tex]x-\frac{5}{3}[/tex] is the factor.

Then

[tex]f(x)=3(x+2)(x-2)(x-\frac{5}{3}).[/tex]

A 5" * 7" image reduced by 20% in scale to 80% of the original size will be 4" * 5.6". Roughly the size of a large flash card.

When a 5 inch by 7 inch picture is reduced using an 80% setting, the new dimensions will be 4 inches by 5.6 inches.

To calculate the new size of a 5 inch by 7 inch picture when reduced by 80%, we simply multiply both dimensions by the reduction percentage. Hence, the width and the height of the picture will be reduced to 80% of their original size.

Original width: 5 inches

Original height: 7 inches

Reduction setting: 80% (or 0.8)

New width: 5 inches × 0.8 = 4 inches

New height: 7 inches × 0.8 = 5.6 inches

Therefore, the new dimensions of the picture will be 4 inches by 5.6 inches after an 80% reduction.

Answer:

Step-by-step explanation:

[tex]\log_ab=c\iff a^c=b\\\\===================\\\\Domain:\ 8x>0\to x>0\\\\\log_4(8x)=3\iff4^3=8x\\\\8x=64\qquad\text{divide both sides by 8}\\\\x=8\in D[/tex]

Answer:

3x(x - 4)(x + 2)

Step-by-step explanation:

Given

3x³ - 6x² - 24x ← factor out common factor of 3x from each term

= 3x(x² - 2x - 8) ← factor the quadratic

Consider the factors of the constant term (- 8) which sum to give the coefficient of the x- term.

The factors are - 4 and + 2, since

- 4 × 2 = - 8 and - 4 + 2 = - 2, thus

x² - 2x - 8 = (x - 4)(x + 2) and

3x³ - 6x² - 24x = 3x(x - 4)(x + 2)

Answer:

3x(x - 4)(x + 2)

Step-by-step explanation:

Answer:

LCM=(m+1)(m-5)(m+7)

Step-by-step explanation:

Given expressions are [tex]m^2-4m-5[/tex] and [tex]m^2+8m+7[/tex].

To find the LCM, first we need to find factors of both expressions.

[tex]m^2-4m-5[/tex]

[tex]=m^2+1m-5m-5[/tex]

[tex]=m(m+1)-5(m+1)[/tex]

[tex]=(m+1)(m-5)[/tex]

Similarly factor other expression

[tex]m^2+8m+7[/tex]

[tex]=(m+1)(m+7)[/tex]

Common factor in both is (m+1)

bring down remaining non-common factors.

So LCM=(m+1)(m-5)(m+7)

Answer:

20 i think

Step-by-step explanation:

because their is 2 parts of the rhombus and they are both equal sides so if the one side is 10ft. then the other side is 10ft. and if you add 10+10 you get 20.

Answer:

{4, - 1}

Step-by-step explanation:

Given

2y² - 6y - 8 = 0 ← in standard form

with a = 2, b = - 6, c = - 8

Using the quadratic formula to solve for y

y = ( - (- 6) ± [tex]\sqrt{(-6)^2-(4(2)(-8)}[/tex] ) / (2 × 2)

  = ( 6 ± [tex]\sqrt{36+64}[/tex] ) / 4

  = ( 6 ± [tex]\sqrt{100}[/tex] ) / 4

  = ( 6 ± 10 ) / 4

x = [tex]\frac{6+10}{4}[/tex] = [tex]\frac{16}{4}[/tex] = 4

OR

x = [tex]\frac{6-10}{4}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1

Solution is { 4, - 1 }

Answer:

78.75 cm³

Step-by-step explanation:

Volume = Width × Height × Length

V = 5 × 4.5 × 3.5

V = 78.75 cm³

Answer:

  40 miles

Step-by-step explanation:

You can recognize the right triangle as a 3-4-5 right triangle with a scale factor of 8. So the length of the hypotenuse is 8·5 = 40 miles.

___

Or, you can use the Pythagorean Theorem, which tells you that the sum of the squares of the leg distances will equal the square of the straight-line (hypotenuse) distance:

  32² + 24² = h²

  1024 +576 = h² = 1600

  h = √1600 = 40 . . . . miles

It's C that's correct!

Since there's a total of 30 strawberries and Yuki ate 12 strawberries, there will be 18 strawberries left.

To find the percentage of the amount that remained:

18/30 × 100 = 60%

Therefore the correct option is A

Answer:

Yuki picked strawberries and placed them in a basket. Yuki ate 12 of the 30 strawberries she picked. What percentage of the strwaberries she picked remain in her basket?  

A: 12%

B: 30%

C: 60%

D: 100%​

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

30 - 12 = 18

18 / 30 × 100 = 60

Errrrrrr what following. I know that you need to separate the parts into simple shapes eg:triangle and then find the area of all the shapes and add up. All the shapes should make up the shaded area.

Answer:

b

Step-by-step explanation:

Answer:

additive identity

Step-by-step explanation:

-11 + N = -11

Add 11 to each side

-11 + 11 + N = -11 +11

N = 0

When we add 0 to each side, we are adding the additive identity

Adding zero does not change the value

Answer:48 hours and 24 minutes

Step-by-step explanation: