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kondaur [170]
3 years ago
14

Problem 2: Emilia opened a savings account and deposited $400.00 as principal. The account earns 5% interest, compounded annuall

y. What will be Emilia's balance after 6 years? I​
Mathematics
1 answer:
ElenaW [278]3 years ago
5 0

Answer:

520 dollars

Step-by-step explanation:

5 percent of 400 is 20, over 6 years you multiply 20 by 6 giving you 120. 400 plus 120 is 520

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Adien wants to find the mass of a bowling ball what unit should he use
Ierofanga [76]
The unit for mass is grams, or g. 
Hope this helps!
8 0
3 years ago
The length of a rectangle is (2x –1) units, and the width is (x − 2) units. The area of the rectangle is 20 square units. What i
DedPeter [7]

Length of the given rectangle is 8 units.

Option - D

<u>Solution:</u>

Given that  

Length of a rectangle = (2x-1)\text { units}

Width of a rectangle = (x-2)\text{ units}

Area of rectangle = 20 square units  

Need to calculate length of rectangle.

\text { Formula of area of rectangle }=\text { Length of a rectangle } \times \text { Width of a rectangle }

Substituting given value of Area of rectangle and expressions for length and width of rectangle in formula, we get

20=(x-2)(2 x-1)

On solving above equation for x we get

\begin{array}{l}{20=x(2 x-1)-2(2 x-1)} \\\\ {\Rightarrow 20=2 x^{2}-x-4 x+2} \\\\ {\Rightarrow 2 x^{2}-5 x+2-20=0} \\\\ {\Rightarrow 2 x^{2}-5 x-18=0}\end{array}

On splitting the middle term in such a way that product of split terms comes as 2x^2\times -18 = -36x^2 and summation comes as -5x, we get

\begin{array}{l}{\Rightarrow 2 x^{2}+4 x-9 x-18=0} \\\\ {=>2 x(x+2)-9(x+2)=0} \\\\ {\Rightarrow(2 x-9)(x+2)=0} \\\\ {\Rightarrow(2 x-9)=0 \text { or }(x+2)=0} \\\\ {\Rightarrow x=\frac{9}{2} \text { or } x=-2}\end{array}

\begin{array}{l}{\text { When } x=\frac{9}{2}, \text { length }=(2 x-1) \text { units }=\left(2 \times \frac{9}{2}-1\right)=8 \text { units }} \\\\ {\text { When } x=-2, \text { length }=(2 x-1) \text { units }=(2 \times(-2)-1)=-5 \text { units }}\end{array}

As length cannot be negative hence we can ignore negative value.

So length is 8 units.

3 0
3 years ago
Use the given endpoint Y and the midpoint M of YZ (there is a line over YZ) to find the coordinates of the other endpoint Z
Zinaida [17]

The x-coordinate of our midpoint = 3

The x-coordinate of Y = 0

k  = x-coordinate of Z

3 = (0 + k) / 2

Multiply both sides by 2

6 = k + 0

Simplify

6 = k

The y-coordinate of our midpoint = 3

the y-coordinate of Y = 5

w = y-coordinate of Z

3 = (w + 5) / 2

Multiply both sides by 2

6 = w + 5

Subtract 5 from both sides

1 = w

For problem #17, Z(6, 1)

Let's do problem 18 now.

The x-coordinate of our midpoint = 5

The x-coordinate of Y = -1

k = x-coordinate of Z

5 = (k + (-1)) / 2

Multiply both sides by 2

10 = k + (-1)

Simplify the right side

10 = k - 1

Add 1 to both sides

11 = k

The y-coordinate of our midpoint = 9

The y-coordinate of Y = -3

w = y-coordinate of Z

9 = (w + (-3)) / 2

Multiply both sides by 2

18 = w + (-3)

Simplify the right side

18 = w - 3

Add 3 to both sides

21 = w

For problem #18, Z(11, 21)

7 0
3 years ago
Looking at the triangles in the figure on the right: a) find EF b) Find HD c) find GE
Vlada [557]

Answer:

EF = 34.3

HD = 53.2

GE = 45.7

GOOD LUCK FOR THE FUTURE! :)

3 0
3 years ago
Write the product as mixed number for
rewona [7]
4 4/5 you make the whole number a fraction by putting a 1 under it and the multiply like normal then make it into a mixed number<span />
7 0
3 years ago
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