· Yolanda deposited $3,547 into an account that earns 4.5%
simple annual interest. Calculate the interest Yolanda will earn
after 6 years. How much will Yolanda have in her account after 6
years?

Answer:

29° and 58°

Step-by-step explanation:

Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus

∠ ZXY = ∠ WXY = 29°

∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°

Answer:

$60

Step-by-step explanation:

You have to divide 180 by 3 to get the cost per hour :)

Answer: B

Step-by-step explanation:

Answer:

The answer is 13 pound of dog food

Step-by-step explanation:

Here is your explanation 16 is a even  

number and you can put it in 13 because

13+ 13 =16

Answer:

-2/7

Step-by-step explanation:

Answer:

your answer is x= 3

Hope this helps!

Answer:

About 9 kilometers

Step-by-step explanation:

15x.6= 9

Answer: x = 9

Step-by-step explanation:

I’ll use x as the number of kilometers Emma bikes

1/0.6 = 15/x - set up proportion

1x = 9 cross products

x = 9 - divide both sides by 1 and you get 9

Answer:

5

Step-by-step explanation:

It's the opposite of the sign. So you just add a negative if positive and a positive if negative.

Ex.

-20 = 20

14 = -14

6 + 1 8 = 2 - 6 4

Distribute.

Answer:

x= -20.5

Step-by-step explanation:

6x + 18 = 2x -64

-18 from both sides

6x = 2x - 82

-2x from both sides

4x = -82

divide by 4 on both sides

x= -20.5

Answer:

her mom spent 11 dollars

Step-by-step explanation:

20-9 is 11

Answer:

Her mom spent $11

Step-by-step explanation:

$20-9= $11

Answer:

[tex]2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0[/tex]

Answer:

(x+7/4)^2=1/16

Step-by-step explanation:

Answer:

The area of the triangle is 12 unit²

Step-by-step explanation:

The vertices of the triangle are;

a(2, 5), b(5, 9), and c(8, 5)

The area of a triangle given coordinates can be given by the following determinant;

[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2} \left | x_{1}\cdot y_{2} - x_{2}\cdot y_{1} + x_{2}\cdot y_{3} - x_{3}\cdot y_{2} + x_{3}\cdot y_{1} - x_{1}\cdot y_{3}\right |[/tex]

Therefore, we have;

[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}2 & 5 & 1\\ 5 & 9 & 1\\ 8 & 5 & 1\end{vmatrix} = \dfrac{1}{2} \left | 2\times 9 - 5\times 5 + 5\times 5 - 8\times 9 + 8\times 5 - 2\times 5 \right |[/tex]

Utilizing an online determinant calculator, we have;

[tex]\dfrac{1}{2} \times \left | -12 \right |= 12[/tex]

Therefore, the area of the triangle is 12 unit².

Answer:

t and r are parallels

t and p are perpendicular

Step-by-step explanation:

r and t have the same coordinates 4,1 but one has a negative 4 and 1

t and p have a dot on the same spot

Answer:

$13.00 per person

Step-by-step explanation: you divide $26 by 2

Answer:

5% solution needed = 5.7 liters

40% solution needed = 4.3 liters

Step-by-step explanation:

Let the amount of 5% solution is needed = x liters

And the amount of 40% solution is needed = y liters

Concentration of the final solution = 20%

5x + 40y = 20(x + y)

x + 8y = 4(x + y)

4y = 3x

x = [tex]\frac{4}{3}y[/tex] -------(1)

Total volume of the final solution needed = 10 liters

Therefore, x + y = 10 --------(2)

Now substitute the value of x from equation (1) to equation (2).

[tex]\frac{4}{3}y+y=10[/tex]

[tex]\frac{7}{3}y=10[/tex]

y = 4.3 liters

From equation (2),

x + 4.3 = 10

x = 5.7 liters

Answer:

factor x+7 (so (x+7)(x+7)) and then solve like a normal equation

Answer: 2x= 40 so 2x20=40

Step-by-step explanation:every triangle has to add up to 180 digrees

65+75+40=180

Answer:

Compound interest allows your savings to grow faster over time. In an ... Note that high-interest savings accounts earn money faster than accounts with lower yields. ... When you invest in the stock market, you don't earn a set interest rate.

Step-by-step explanation:

Answer:

Tissue

Step-by-step explanation:

Forgive me if I'm wrong but I'm 90 percent sure I'm not.

Happy almost Halloween!!

Answer:

1800 bricks

Step-by-step explanation:

Given

Sidewalk = 100ft by 4ft

Brick = 8 inches by 4 inches

Required

Determine the minimum number of bricks

First, we need to determine the area of both;

[tex]Sidewalk = 100ft * 4ft[/tex]

[tex]Sidewalk = 400ft^2[/tex]

[tex]Brick = 8in * 4in[/tex]

[tex]Brick = 32in^2[/tex]

Number of bricks is calculated as follows;

[tex]Number = \frac{Sidewalk}{Brick}[/tex]

[tex]Number = \frac{400ft^2}{32in^2}[/tex]

Convert ft^2 to in^2

[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]

[tex]Number = \frac{57600in^2}{32in^2}[/tex]

[tex]Number = 1800[/tex]

Answer:

x = 2

Step-by-step explanation:

10x - 7 = 7x - 1

10x = 7x + 6

3x = 6

x = 2

Answer:

x = 2

Step-by-step explanation:

Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.

You should be left with 10x - 7x = 7 - 1.

10x - 7x = 3x

7 - 1 = 6

3x = 6

Divide both sides by three to get your answer of x = 2.

Answer:

h(-5) = 10

Step-by-step explanation:

h(x) = -4x - 10

Let x = -5

h(-5) = -4*-5 - 10

         = 20 -10

         = 10

Answer: B and C only

Step-by-step explanation:

The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and rises 4 degrees

Initial temperature = 0

Temperature rise = 4

Fall in temperature = - 4

(Initial temperature + rise in temperature + fall in temperature)

Summing all : (0 + 4 - 4) = 0

carbon atom has 6 negatively charged electrons and 6 positively charged protons.

Net charge of atom :

(number of proton + number of electrons)

( 6 + (-6)) = 0

Answer:

0.81

Step-by-step explanation:

Answer:

$105.22

Step-by-step explanation:

Answer:

j=10

Step-by-step explanation:

17+7j=87

7j=70

j=10

Answer:

$64

Step-by-step explanation:

Since there were 4 of them and the coupons were $10 off, they saved a total of $40

To find how much they would have spent without the coupons, add 40 to 216:

216 + 40

= 256

To find the normal cost of one ticket, divide this by 4:

256/4

= 64

So, the price of one concert ticket without the coupon is $64

Answer:

Step-by-step explanation:

given data

cost of pizza $7.5

cost of delivery=$14

let the the number of pizza be p

let the total cost of x pizza be y

the expression for the total cost of x pizza is

y=7.5+14p

given that y=$60

60=7.5+14p

solving for x we have

14p=60-7.5

14p=52.5

p=52.5/14

p=3.75

therefore the total slices is

3.75*8= 30slices