Guided Practice

Suppose you have $500 to deposit into an account. Your goal is to have $595 in that account at the end of the second year. The formula r= [tex]\sqrt{A/P}[/tex] - 1 gives the interest rate r that will allow principal P to grow into amount A in two years, if the interest is compounded annually. Use the formula to find the interest rate you would need to meet your goal.



A.

19%



B.

9.1%



C.

8.4%

Answer:

3/13. There are 4 aces in the pack so probability of the second draw being an ace = 4/51.

Step-by-step explanation:

9514 1404 393

Answer:

  17 2/3

Step-by-step explanation:

A calculator or spreadsheet can figure this. The maximum of f(x) is found where 3x-2 intersects 25-x.

  2x +3 = 25 -x

  3x = 22

  x = 22/3 = 7 1/3

  25 -7 1/3 = 17 2/3 . . . . maximum value of f(x)

_____

Note in the graph that the slope of f(x) decreases at about x=5. The expression with the lower positive slope is 2x+3. So, it is that expression that must equal the expression with the negative slope.

Answer:

degree of the polynomial = 7

Number of terms = 2

Name = binomial

leading coefficient = 5

Step-by-step explanation:

The polynomial is x³y² - 5x³yz³

The degree of a polynomial is the highest exponent of any of its variables.

But in this case where we have two variable together, we sum up their exponents and the Hughes one will be the degree of the polynomial.

Thus;

x³y² has a degree of 3 + 2 = 5

5x³yz³ has a degree of 3 + 1 + 3 = 7

Thus,7 is the highest and the degree of the polynomial is 7.

There are two terms which are x³y² and 5x³yz³

Since it has two terms, it is a binomial.

To get the coefficient, I will rearrange in descending order of degree;

-5x³yz³ + x³y²

Thus, leading coefficient = 5

Answer:

B. y=-7x+6

Step-by-step explanation:

Sana makatulong :-)

Answer:

The value is 13

Step-by-step explanation:

[tex]| p |[/tex] Means absolute value. This means no matter the sign of the number (negative or positive) we are just looking for the value of the number

[tex]|-1|=1\\|1|=1[/tex]

Hope this helps:)

Answer:

A - monthly payment: $1,580.89

Step-by-step explanation:

175 + 129 + 283 =  587

2,250 - 587 = 1,663

1989.23 (More then she has left

1790.25 (More then she has left

1580.89 (less then she has left

A > monthly payment: $1,580.89

Answer: 8 / 48 or 1 / 6 (simplified).

Step-by-step explanation:

There are 48 marbles in the bag.

8 out of the 48 marbles are white, that's why the probability is 8/48 or 1/6.

Answer:

15%

Step-by-step explanation:

plug your numbers to the equation

(85-74)/74 then multiply that by 100

then move the decimal right 2 places

Answer:

15%

First of all, you need to find the difference between 85 min and 74 min.

85-74=11 min

Now, we need to find %increase-

increase/Original *100

11/74*100=

14.8648648649

= 14.8

15% if you were to round.

Answer:

The image of (-6,0) after a reflection over the line y = -x is (0,6)

Step-by-step explanation:

Here, we want to reflect the given point over the given line

Mathematically, by reflecting a point over the given line, we have the coordinates change as;

(x,y) to (-y,-x)

So, we have;

(-6,0) to (0,6)

Answer:

3x-2 = -x+10

or, 3x+x=10+2

or, 4x=12

or, x=12/4

So, x=3

Answer: 3

Step-by-step explanation:

Step 1: Add x to both sides.

3x−2+x=−x+10+x

4x−2=10

Step 2: Add 2 to both sides.

4x−2+2=10+2

4x=12

Step 3: Divide both sides by 4.

4x

4

=

12

4

Answer: 8 : 6

Step-by-step explanation:

Answer and Step-by-step explanation:

Answer is in picture.

We use the cosine trig function (adjacent side over hypotenuse = cos of an angle) to find m.

The angles are split perfectly in half, half of 90, which is 45, so the other angles are 45.

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

A rectangular prism is nothing but a cuboid. Let the length , width and height of the  rectangular prism be l, w and h.

We know that volume of a cuboid V = l×w×h

So,  l×w×h = 936

So, we can find any dimension of the prism provided the the other two dimensions are given to us.

Answer:

c.

Step-by-step explanation:

Answer:

No correlation implies causation.

Step-by-step explanation:

I just took the test. The person above me is right! :)

Answer: B $50,700

Step-by-step explanation:  Subtract expenses from earnings...

65,000-4,900-7,400-2,000=50,700

Answer:The code is simple the answer is googl

Step-by-step explanation:

Answer:

What type of circle would you use when graphing x≥5: I do not know sorry :(

When graphing x≥5 on a number line, you would point your arrow which way?

:To the right

Solve the following inequality

x−3>7: x>10

Step-by-step explanation:

I did the math :)

Answer:

512

Step-by-step explanation:

You are multiplying by 4. So you’d do 128 times 4 to get 513!

Hope this helped you!

Answer:

512

Step-by-step explanation:

The sequence is going by fours

2 * 4 = 8

8 * 4 = 32

32 * 4 = 128

128 * 4 = 512

Answer:

-5x^6-8x^2+6x+11

Step-by-step explanation:

(-5x^6+7x+1)-(8x^2+x-10)

Remove parentheses

-5x^6+7x+1-(8x^2+x-10)

-(8x^2+x-10)=-8x^2-x+10

-5x^6+7x+1-8x^2-x+10

Simplify

-5x^6-8x^2+6x+11

Answer:

There are 36 people at the meet

Step-by-step explanation:

if the ratio is 4 men to 5 women it means that every time there are 4 men there will be 5 women so its 4/5

and since we know there are 20 men the equation becomes:

4/5 = x/20

so to make 4/5 have 20 as a denominator we multiply by 4/4.

4/5*4/4 = 16/20

So, now we know there are 16 women.

And 16+20 = 36

Answer:

c.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equation is below

Step 1

(7)^8(7)^0  simplifying

Step 2

(7)^8(7)^0  multiply 7

(5764801)(1)

Step 3

(5764801)(1)  Multiply 5764801 by 1

5764801

Answer

5764801

Hope this helped

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{7^8\times7^0}[/tex]

[tex]\mathsf{7^8}[/tex]

[tex]\mathsf{= 7\times7\times7\times7\times 7 \times7 \times 7 \times 7}[/tex]

[tex]\mathsf{= 49 \times 49 \times 49 \times 49}[/tex]

[tex]\mathsf{= 2,401\times2,401}[/tex]

[tex]\mathsf{{\bf = \underline {5,764,801}}}[/tex]

[tex]\mathsf{7^0}[/tex]

[tex]\mathsf{=\bf \underline{1}}[/tex]

[tex]\large\textsf{New equation: }\downarrow[/tex]

[tex]\mathsf{5,764,801\times1}[/tex]

[tex]\large\textsf{Solve above and you have your answer to the given question}\uparrow[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge\bf 5,764,801}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\large\textsf{NOTE}\downarrow\\\mathsf{7^8\times7^0}\\\mathsf{=5,764,801\times1}\\\mathsf{= \bf 5,764,801}\large\checkmark[/tex]

Answer:

.24

Step-by-step explanation:

One pack of marbles cost $0.24

Answer:

Hey I want to try and help you out but can I know which grade you are?

Answer:

Energy from the sun changes liquid water to a gas.

Step-by-step explanation:

Answer:

the 2nd choice

Answer:

T,p,s

Step-by-step explanation:

6.04,6.7,6.8

Answer:

6 watches, 12 necklaces, and 24 earrings.

Step-by-step explanation:

turn the number of watches into x

42 = 4x + 2x + x

42 = 7x

x = 6

she has 6 watches, 12 necklaces, and 24 earrings

Answer and Step-by-step explanation:

a - b = 2

[tex]\frac{3b}{3a}[/tex] = [tex]\frac{b}{a}[/tex]

b = a - 2

a = b + 2

______________

b = b + 2 - 2

b = b

______________

______________

a = a - 2 + 2

a = a

______________

If a equals 0, then the expression is undefined.

If b = 0, then the expression is 0.

There are infinite number of solutions when a is not 0 and the numbers are positive.

#teamtrees #PAW (Plant And Water)

Answer:

m = 0.75well 1.7 bc 5.35/3=1.7 This is the cost per pound of the mints.

Step-by-step explanation:

From this sentence >> 3 pounds of candy and 2 pounds of mints cost $10.80

you can make-up an equation >> 3c + 2m = 10.80 right?

That's your first equation, 3c + 2m = 10.80 ... (1)

and from this sentence >> 1 pound of candy and 3 pounds of mints cost $5.35

you can make-up an equation >> c + 3m = 5.35 ... (2)

you can use various methods here, like graphing, substitution, comparison, and elimination method.

Let's try using substitution method.

3c + 2m = 10.80 ... (1)

c + 3m = 5.35 ... (2) << here you can come up with c = 5.35 - 3m then substitute it to (1)

3c + 2m = 10.80 ... (1)

3(5.35 - 3m) + 2m = 10.80

16.05 - 9m + 2m = 10.80

-7m = -5.25

m = 0.75 <<This is the price of the mint

to get the price of candy, simply substitute m = 0.75 to (1) or (2) if you want, it depends on you.

Either way, you will have the same answer.

Let's try substituting in (1)

3c + 2m = 10.80 ... (1)

3c + 2(0.75) = 10.80

3c + 1.5 = 10.80

3c = 9.3

c = 3.1 <<this is the price of the candy

was difiqult hope this helps!!!!!