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3 years ago

Can you please help me with this question!!!!! I need help!!!!

Mathematics

1 answer:

Taya2010 [7]3 years ago

8 0

Since ΔCDE is isosceles with base angles D and E equal then sides

CE = CD , hence

16x - 27 = 4x + 9 ( subtract 4x from both sides )

12x - 27 = 9 ( add 27 to both sides )

12x = 36 ( divide both sides by 12 )

x = 3

substitute x = 3 into the expressions for the sides

CD = (4 × 3 ) + 9 = 12 + 9 = 21

DE = (7 × 3 ) - 5 = 21 - 5 = 16

CE = (16 × 3 ) - 27 = 48 - 27 = 21

note that CE = CD

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Joyce's mother buys some shares of Company A on Day 0.

antoniya [11.8K]

Answer:

(i) 4000

(ii) $5.00

Step-by-step explanation:

Let no. of shares of Company A be X

Let share price of Company B on Day 7 be $y

Share price of Company B on Day 12 = $(y-0.50)

(i)

Consider Day 7:

4.60x - 2000y = 7400................ (1)

Consider Day 12:

4.80x - 5000(y-0.50) = -5800

4.80x - 5000y + 2500 = -5800

4.80x - 5000y = -8300............... (2)

(1)*2.5:

11.5x - 5000y = 18500................. (3)

(3)-(2):

11.5x - 4.80x - 5000y + 5000y = 18500 + 8300

6.70x = 26800

x = 4000

(ii)

Sub. x = 4000 into (1):

4.60(4000) - 2000y = 7400

-2000y = 7400 - 18400

-2000y = -11000

y = 5.5

Share price of Company B on Day 12

= 5.50 - 0.50

= $5.00

3 0

3 years ago

Find all of the solutions for the following equation.<br> 2 sin 0 + 3 = sin 0 + 2

den301095 [7]

Answer:

Step-by-step explanation:

$2 sin \theta+3=sin \theta+2\\sin \theta=-1=sin 270,sin(360n+270)\\\theta=270,360 n+270 where n is an integer.$

3 0

3 years ago

A cereal box is 6.2 inches high, 8 inches long, and 2.5 inches wide. What is the volume

Gwar [14]

Answer:

124

Step-by-step explanation:

v = l×w×h

v = 6.2 × 8 × 2.5

v = 124

4 0

3 years ago

The principal "P" is borrowed and the loan's future value "A" at time "t" is given. Determine the loan's simple interest rate

Sever21 [200]

Now.... "t" is in years, 3months off 12 months is 3/12 years

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$2525\\
P=\textit{original amount deposited}\to& \$2500\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to \frac{3}{12}\to &\frac{1}{4}
\end{cases}$

$\bf 2525=2500\left(1+r\cdot \frac{1}{4} \right)\implies \cfrac{2525}{2500}=1+\cfrac{1}{4}r\implies \cfrac{101}{100}=1+\cfrac{r}{4}
\\\\\\
\cfrac{101}{100}-1=\cfrac{r}{4}\implies \cfrac{1}{100}=\cfrac{r}{4}\implies \cfrac{4}{100}=r\implies 0.04=r
\\\\\\
\textit{to convert to percentage format}\implies 0.04\cdot 100\implies 4\%$

8 0

3 years ago

Please help! I will mark as brainliest. <3

vfiekz [6]

Answer:

Step-by-step explanation:

you can see that 8 both the lines dashed and solid blue intersects. which means they both break even at that point.

5 0

3 years ago