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Elena-2011 [213]
2 years ago
15

-7(-2 ( 3x+1)+ 4) +9​

Mathematics
1 answer:
ANTONII [103]2 years ago
7 0

Answer:

correct answer is explained in the picture attached

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Joey invest $900 at 4% simple interest for 2 years but he wants to know how much money he will have after only 18 months. Determ
malfutka [58]
Well, bearing in mind that, a year has 12 months, so 18 months is really just 18/12 of a year, or 3/2 a year, then

\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$900\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to \frac{18}{12}\to &\frac{3}{2}
\end{cases}
\\\\\\
A=900\left( 1+0.04\cdot \frac{3}{2} \right)
4 0
3 years ago
The diagram below shows the graph of the quadratic function f (x) = ax² + 8x + c. calculate the value for each of the following.
Alexxandr [17]

Answer:

see explanation

Step-by-step explanation:

The y- intercept is at (0, 6) ⇒ c = 6

The x- coordinate of the vertex is at the midpoint of the zeros, that is

m = \frac{-3-1}{2} = \frac{-4}{2} = - 2

Since the zeros are x = - 3 and x = - 1 then the factors are (x + 3), (x + 1) and

f(x) = a(x + 3)(x + 1) = a(x² + 4x + 3)

Comparing with f(x) = ax² + 8x + 6 ⇒ a = 2

Thus

f(x) = 2x² + 8x + 6

Substitute m = - 2 into the equation for value of n

n = 2(- 2)² + 8(- 2) + 6 = 8 - 16 + 6 = - 2

Hence

c = 6, m = - 2, a = 2, n = - 2

3 0
3 years ago
Read 2 more answers
two ships leave a port at the same time. the first ship sails on a bearing of 55° at 12 knots (natural miles per hour) and the s
Korvikt [17]

Answer:

37.59 nautical miles

Explanation:

Distance = Speed x Time

The speed of the first ship = 12 knots

Thus, the distance covered after 1.5 hours

\begin{gathered} =12\times1.5 \\ =18\text{ miles} \end{gathered}

The speed of the second ship = 22 knots

Thus, the distance covered after 1.5 hours

\begin{gathered} =22\times1.5 \\ =33\text{ miles} \end{gathered}

The diagram representing the ship's path is drawn and attached below:

The angle at port = 90 degrees.

The triangle is a right triangle.

Using Pythagorean Theorem:

\begin{gathered} c^2=a^2+b^2 \\ c^2=18^2+33^2 \\ c^2=324+1089 \\ c^2=1413 \\ c=\sqrt[]{1413} \\ c=37.59\text{ miles} \end{gathered}

The two ships are 37.59 nautical miles apart after 1.5 hours.

8 0
1 year ago
What's the inequality for 15x + 21 ≥ 120​
Andrei [34K]
X>= 6.6 is your answer
5 0
3 years ago
A coffee table is on sale for 20% off the original price of $115.
katen-ka-za [31]

Answer:

$98.90

Step-by-step explanation:

20% off of 115 is 92 then when you add the sales tax of 7.5% you get $98.90.

You are going to pay $6.90 in sales tax.

PLEASE MARK BRAINLIEST

5 0
2 years ago
Read 2 more answers
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