1.) (7.RP.3) Tracy started a savings account that is set up so that the simple interest earned on the investment is moved into a separate account at the end of each year. Tracy invests $5,000 at 4.5%, what is the total simple interest accumulated in the checking account after 2 years? (1 pt) *
a) $4.50
b) $45
c) $450
d) $4,500
e) $45,000
BACKNEXT


2. 2. (7.RP.3) Sylvia bought a 6-month $1900 certificate of deposit. At the end of 6 months, she received a $209 simple interest. What rate of interest did the certificate pay? Show all of your work.

ANSWER: SSS, SAS, ASA, AAS, or HL

EXPLANATION:

SAS: Three congruent sides on both triangles.

SAS: Two congruent sides and a congruent included angle on both triangles.

ASA: Two congruent angles and a congruent included side on both triangles.

AAS: Two congruent angles and a congruent side on both triangles.

HL: Two right triangles with one congruent leg and congruent hypotenuses.

Answer:

[tex]P(x)=x^3-11x^2+43x-65[/tex]

Step-by-step explanation:

If the complex number [tex]3-2i[/tex] is a root of a cubic function, then the complex number [tex]3+2i[/tex] is a root too. Thus, the cubic function has three known roots [tex]5,\ 3-2i,\ 3+2i[/tex] and can be written as

[tex]P(x)=(x-5)(x-(3-2i))(x-(3+2i)),\\ \\P(x)=(x-5)(x^2-x(3-2i+3+2i)+(3-2i)(3+2i)),\\ \\P(x)=(x-5)(x^2-6x+9-4i^2),\\ \\P(x)=(x-5)(x^2-6x+9+4),\\ \\P(x)=(x-5)(x^2-6x+13),\\ \\P(x)=x^3-11x^2+43x-65.[/tex]

Hello!

Divide 528 and 264. It will give you 2.

Now, multiply 35 and 2.

Answer: 70

Hope this helps! ~Pooch ♥

Answer:

Cathy has read 3/6 or 1/2 of her book.

Step-by-step explanation:

1/6+2/6=3/6 or 1/2

Answer:

[tex]2.6334 \cdot 10^{-5}[/tex]

Step-by-step explanation:

[tex](46.2 \cdot 10^{-1})(5.7 \cdot 10^{-6})[/tex]

To multiply it , first we multiply the numbers.

46.2  times 5.7 is 263.34

Now we multiply the exponents. To multiply exponents we apply exponential property.

[tex]a^m \cdot a^n= a^{m+n}[/tex]

When the exponents with same base are in multiplication then we add the exponents

[tex]10^{-1} \cdot 10^{-6}=10^{-7}[/tex]

[tex](46.2 \cdot 10^{-1})(5.7 \cdot 10^{-6})[/tex]

[tex]263.34 \cdot 10^{-7}[/tex]

Now we write it in scientific notation. Move the decimal point after the first number. So we move decimal point 2 places to the left

[tex]2.6334 \cdot 10^2 \cdot 10^{-7}[/tex]

[tex]2.6334 \cdot 10^{-5}[/tex]

To determine how many tickets of each type were sold, two equations were formulated and the system was solved using the elimination method, resulting in 600 covered pavilion seats and 800 lawn seats sold.

To solve this problem we need to set up a system of equations based on the information provided. Let's define two variables: x for the number of covered pavilion seats sold, and y for the number of lawn seats sold. We know that together, a total of 1400 tickets were sold and the total receipts from these sales were $24,000. We can set up the following equations:

1) x + y = 1400 (total number of tickets sold)

2) 20x + 15y = 24,000 (total revenue from ticket sales)

To solve the system of equations, you can use either substitution or elimination method. Let's use the elimination method by multiplying the first equation by -15 and adding it to the second equation to eliminate y.

-15x - 15y = -21,000

20x + 15y = 24,000

Add the two equations:

5x = 3,000

Divide both sides by 5:

x = 600

Now we can substitute x back into the first equation to solve for y:

600 + y = 1400

y = 800

Therefore, 600 covered pavilion seats and 800 lawn seats were sold.

The width of the rectangle is 5.55 ft and the length is 19.425 ft. The perimeter of the rectangle is 25.95 ft and the area is 107.95875 sq ft.

To find the width of the rectangle, we can set up the equation

5/2 = 13.875 / width

Solving for width gives us width = 5.55 ft. Therefore, the length of the rectangle is 13.875 + 5.55 = 19.425 ft.

The perimeter of a rectangle is given by the formula 2(length + width). Substituting the given values, we get the perimeter to be 2(19.425 + 5.55) = 25.95 ft.

The area of the rectangle is given by the formula length * width. Substituting the given values, we get the area to be 19.425 * 5.55 = 107.95875 square feet.

https://brainly.com/question/31998076

#SPJ11

Answer:

BC < ED ⇒ answer A

Step-by-step explanation:

* Lets revise some facts in the triangle

- If one side of a triangle is longer than another side, then the angle

 opposite the longer side will be larger than the angle opposite the

 shorter side

- If one angle in a triangle is larger than another angle in a triangle,

 then the side opposite the larger angle will be longer than the side

 opposite the smaller angle

* Lets solve the problem

- In the two triangles BCD and DEB

∵ CD = 8 and BE = 8

∴ CD = BE

∵ Side BD is a common side in the two triangles

- The third side in Δ BCD is BC and the third side in DEB is DE

∵ BC is the opposite side to the angle of measure 24°

∵ ED is the opposite side to the angle of measure 30°

∵ The measure 24° < the measure 30°

∴ The side opposite to the angle of measure 24° < the side opposite

   to the angle of measure 30°

∵ The other two sides of the 2 triangles BCD and DEB are equal

∴ We can compare between the 3rd sides in the Δ BCD and Δ DEB

∴ BC < ED

The correct answers are:

Box-1: [tex]\frac{3\thinspace ft}{1\thinspace yd}[/tex]

Box-2: [tex]\frac{12\thinspace \thinspace in}{1\thinspace ft}[/tex]

Box-3: [tex]\frac{1\thinspace stud}{15\thinspace in}[/tex]

Box-4: 42 studs

Explanation:

Given:

Wall is 17.5 yds long.

In 1 yard, there are 3 feet.

Therefore,

[tex]\frac{17.5\thinspace yd}{1} * \frac{3\thinspace ft}{1\thinspace yd}[/tex]

In Box-1, you should put [tex]\frac{3\thinspace ft}{1\thinspace yd}[/tex].

In 1 foot, there are 12 inches.

Therefore,

[tex]\frac{17.5\thinspace yd}{1} * \frac{3\thinspace ft}{1\thinspace yd}*\frac{12\thinspace in}{1\thinspace ft}[/tex]

In Box-2, you should put [tex]\frac{12\thinspace \thinspace in}{1\thinspace ft}[/tex].

He needs to place 1 stud every 15 inches.

Therefore,

[tex]\frac{17.5\thinspace yd}{1} * \frac{3\thinspace ft}{1\thinspace yd}*\frac{12\thinspace in}{1\thinspace ft}*\frac{1\thinspace stud}{15\thinspace in}[/tex]

In Box-3, you should put [tex]\frac{1\thinspace stud}{15\thinspace in}[/tex].

Now multiple all the numbers, you will get the number of studs.

[tex]\frac{17.5\thinspace yd}{1} * \frac{3\thinspace ft}{1\thinspace yd}*\frac{12\thinspace in}{1\thinspace ft}*\frac{1\thinspace stud}{15\thinspace in} = 42\thinspace studs[/tex]

In Box-4, write 42 studs.

-i

To calculate the number of additional studs needed, convert the length of the wall to inches and divide by the interval between each stud. Subtract 1 from the total number of intervals to find the number of additional studs needed.

To determine the number of additional studs needed, we need to calculate the number of intervals between studs. First, we need to convert the length of the wall to inches, which is 17.5 yds * 3 ft/yd * 12 in/ft = 630 inches. Next, we divide the length of the wall by the interval between each stud, 630 inches / 15 inches = 42 intervals. Since the first stud has already been placed, we subtract 1 from the total number of intervals to find the number of additional studs needed: 42 - 1 = 41 additional studs.

https://brainly.com/question/34398569

#SPJ3

Answer:

5x-3 or x-3

Step-by-step explanation:

I don't know what are the choices, so I'll just factor the whole thing. Choose the ones that fit.

-3 + -15 = -18

-3 * -15 = 9*5

5x^2-15x-3x+9

5x(x-3)-3(x-3)

(5x-3)(x-3)

Answer:

5x - 3

Step-by-step explanation:

APEX

Answer:

61.60

Step-by-step explanation:

Answer:

The answer is $61.60

Step-by-step explanation

The wholesale price is 44$, but it will be marked up 40% which in decimal form is .40. You multiply that by 44 to get 17.6, and since its mark up you add that number to 44 to get $61.6

Question:

what are your choices?

Answer:

D. log (x-2)

Step-by-step explanation:

We can see that in the graph of the function g(x), the graph is shifted toward the right.

We know that, to shift a graph to the right, we subtract that number of units inside the function.

For example if we are plotting a graph of F(x) and if we have to shift the function to the right by 2 units, we can write it as, [tex]F(x-2)[/tex].

Similarly, here the graph of log (x) is shifted 2 units to the right so we can write the function as,

[tex]log (x-2)[/tex] (we subtract inside the function).

Answer:

D. [tex]log(x-2)[/tex]

Step-by-step explanation:

We have been given function's [tex]f(x)=log(x)[/tex] graph and graph of function g(x). We are asked to choose the correct function formula for g(x).

We can see that our parent function f(x) is translated to right to get function g(x).  

The rule for translating a function to right by k units is:      

[tex]f(x)\rightarrow f(x-k)[/tex]

We can see that our parent function is shifted 2 units to right as our parent function crosses x-axis at x equals 1, while our new function crosses x-axis at x equals 3. So our new function g(x) will be:

[tex]g(x)=log(x-2)[/tex]

Therefore, the expression [tex]log(x-2)[/tex] is equal to g(x) and option D is the correct choice.

Answer:

q=135 degrees

p=45 degrees

Step-by-step explanation:

For q:

q is 135 degrees because alternate exterior angles are congruent when L1 is parallel to L2 intersected by L3.

For p:

p is 45 degrees because L2 is a straight line so it has a measurement of 180 degrees. So to find p you do 180 degrees-q.

Which is 180-135=45 degrees

ANSWER: [tex]\frac{2}{-5}[/tex]

EXPLANATION:

We can use the slope formula and input the x and y values to solve for the slope.

[tex]\text{Slope Formula}: \frac{y_{2}-y_{1} }{x_{2}-x_{1}}=m[/tex]

[tex]\frac{5-3}{2-7}=m\\\text{Simplify.}\\\frac{2}{-5} =m[/tex]

The slope of the line is [tex]\frac{2}{-5}[/tex]

The slope of the line that passes through the points (2, 5) and (7, 3) is -2/5.

To find the slope of the line passing through the points (2, 5) and (7, 3), we can use the formula for slope:

The slope of the line that passes through the points (2, 5) and (7, 3) can be calculated using the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

Slope (m) = (3 - 5) / (7 - 2) = -2/5

Therefore, the slope of the line is -2/5.

https://brainly.com/question/3605446

#SPJ3

Answer:

He translated them the wrong way.

It should of gone up 2 and right 2 not down 2 and left 2.

The correct coordinates would be (A' = 3,0) (B' = 3, -3) (C' = 2, -2)

Please mark brainliest would rly help.

Step-by-step explanation:

Answer:

Probability of rolling an even number then rolling an odd number = 1/4

Step-by-step explanation:

When we roll a fair six-sided die twice,

The pair of combinations are

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(5,1),(6,2),(6,3),(6,4),(6,5),(6,6)

There are 36 possibilities

The odd numbers are 1,3 and 5

even numbers are 2,4 and 6

Possibilities of rolling an even number then rolling an odd number

(2,1),(2,3),(25)

(4,1),(4,3),(4,5)

(6,1),(6,3),(6,5)

There are 9 possibilities

Probability of rolling an even number then rolling an odd number = 9/36 = 1/4

Answer:

c 61 units but it should be under a square root

Step-by-step explanation:

CA=6

CB=5

5^2+6^2=AB^2

61=AB^2

The Option C is partially correct , the answer must be under a square root as [tex]\;\sqrt {61} {\text{ units}}[/tex].

Further explanation:

The pythagorean theorem is used in the right angle triangle and it states that the square of the hypotenuse is equal to the sum of the squares of the perpendicular and base.

It can be mathematically expressed as,

[tex]{h^2} = {p^2} + {b^2}[/tex]  

Here, [tex]h[/tex] is the hypotenuse, [tex]p[/tex] is the perpendicular and [tex]b[/tex] is the base.

Step by step explanation:

Step 1:

It is observed from given figure that after joining the points [tex]A,B{\text{ and C}}[/tex] it is established as right angle triangle.

First determine the perpendicular and the base of the triangle.

It can be seen that there are 5 boxes between the point [tex]A{\text{ and }}C[/tex] and 6 boxes between the point [tex]{\text{B and C}}[/tex].

Therefore, the perpendicular of the triangle [tex]AC[/tex] is [tex]{\text{6 units}}[/tex] and the perpendicular of the triangle [tex]AB[/tex] is  .

Step 2:

Now use the Pythagoras theorem to find the distance between [tex]B{\text{ and }}A[/tex].

The distance between [tex]B{\text{ and }}A[/tex] is the length of the hypotenuse of the triangle [tex]ABC[/tex].

The length of the hypotenuse [tex]AB[/tex] can be calculated as,

[tex]\begin{aligned}{h^2}&= {p^2} + {b^2}\\{h^2} &= {6^2} + {5^2}\\{h^2} &= 61\\h &= \sqrt {61}\\\end{aligned}[/tex]  

Therefore, the distance between [tex]B{\text{ and }}C[/tex] is [tex]\sqrt {61}[/tex] units.  

Thus, option C is partially correct , the answer must be under a square root as [tex]\sqrt {61}[/tex] units.

Learn more:  

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Pythagoras theorem.

Keywords: Distance, Pythagoras theorem, points, base, perpendicular, hypotenuse, right angle triangle, boxes, units, squares, sum

Answer:

The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept.  It represents the initial cost to join the gym.

Step-by-step explanation:

C(m)= 50m + 79.50,

This is written in the form y= mx+b where m is the slope and b is the y intercept.

The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept.  It represents the initial cost to join the gym.

The slope of the function represents the cost of each additional month of membership, while the y-intercept represents the initial cost of joining the gym.

The slope of the function C(m) = 50m + 79.50 represents the cost of each additional month of gym membership. In this case, the slope is 50, meaning that for every additional month of membership, the cost increases by $50.

The y-intercept of the function, which is 79.50, represents the initial cost of joining the gym. This can be considered as the one-time fee or the cost for 0 months of membership.

https://brainly.com/question/16744918

#SPJ11

Answer:

60 child tickets were sold

Step-by-step explanation:

Let no of children tickets sold that day be c and adult tickets be a

Then since total number of tickets sold is 148, we have

c+a = 148  ... i

Also given that admission fee is 6.00 for children and 9.70 for adults

So for c children tickets sold value= 6c and for adults it is 9.7a

total revenue = 6c+9.7a=1213.60 ... ii

We got two equations in two variables c and a

Let us solve this

a =148-c. substitute this in ii

6c+9.7(148-c) = 1213.60

Simplify the above to have

222 = 3.7c

Or c = 60

No of child tickets sold = 60

Answer:

$33 336

Step-by-step explanation:

Increase = 30 000 × 0.112

Increase = $3336

New salary = 30 000 + 3336

New salary = $33 336

Answer:

_______________________________________________________

Note that this multiplication problem has two (2) multiplicands; that is, two (2) numbers being multiplied by each other;  which are:  "56" and "213"

The "product" refers to the number obtained when multiplicands in a multiplication problem are multiplied together.

In this case, the product given is:  " 103 " ; which is smaller than one of the "multiplicands" in the problem — specifically, "213" !

This does not make sense; and this along tells us that the answer — "213" ; is incorrect.

________________________________________________

Furthermore, if we multiply the two (2) given multiplicands:

  56 * 213  ;  we get:  " 11,928 " ;  which is much greater than:  " 103 " .  

________________________________________________

Hope this answer is of help to you!

   Best wishes in your academic endeavors

            — and within the "Brainly" community!

________________________________________________

Answer:

144

Step-by-step explanation:

36 ÷ 1/4

We will use copy dot flip

36 * 4

144

Answer:

4.45058959259........

And it still goes

The exact value of sin(17π/12) is -(√2 + √6)/4.

To find the exact value of sin(17π/12), we need to express 17π/12 as a sum or difference of angles for which we know the sine values. Since 17π/12 is not a standard angle, we'll use the angle addition formula.

17π/12 = (3π/4) + (2π/3)

Now, we'll use the sine addition formula:

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

Here, A = 3π/4 and B = 2π/3:

sin(3π/4 + 2π/3) = sin(3π/4)cos(2π/3) + cos(3π/4)sin(2π/3)

Now, we need to find the sine and cosine values of 3π/4 and 2π/3:

sin(3π/4) = √2/2, cos(3π/4) = -√2/2

sin(2π/3) = √3/2, cos(2π/3) = -1/2

Plugging these values into the formula:

sin(17π/12) = (√2/2 * -1/2) + (-√2/2 * √3/2)

= -√2/4 - √6/4

= -(√2 + √6)/4

So, the exact value of sin(17π/12) is -(√2 + √6)/4.

Answer:

Toner = $45.00; ink = $25.50

Step-by-step explanation:

Let T = the cost of a toner cartridge and I = the cost of an ink cartridge

We have two conditions:

(1)                      T = I + 19.50

(2)           4T + 11I = 460.50     Substitute (1) into (2)

4(I + 19.50) + 11I = 460.50     Remove parentheses

 4I + 78.00 + 11I = 460.50     Combine like terms

      15 I + 78.00 = 460.50     Subtract 78.00 from each side

                    15I = 382.50      Divide each side by 15

(3)                  I = 25.50

=====

Substitute (3) into (1)

T = 25.50 + 19.50

T = 45.00

=====

Check:

(1)                         45.00 = 25.50 + 19.50

                           45.00 = 45.00

(2) 4×45.00 + 11×25.50 = 460.50

         180.00 + 280.50 = 460.50

                        460.50 = 460.50

Answer:

4a - 3

Step-by-step explanation:

"four times a" = 4 * a = 4a

"3 less than" = -3

Combine the terms: 4a - 3

~

Hey there!

Answer: The answer would be 36

Step-by-step explanation:

9×4=36

g(x) = f(x) + 3

Since you know f(x) = 3x - 2, you can plug in (3x - 2) for "f(x)" in the equation:

g(x) = f(x) + 3

g(x) = (3x - 2) + 3

g(x) = 3x - 2 + 3

g(x) = 3x + 1