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2 years ago

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Question 4 of 10

1 answer:

posledela2 years ago

5 0

Answer:

A is in line with slope =2/3 and yintercept at (0,-2)

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2. Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Write an exponential model for t

Gala2k [10]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}$

$A=10000\left(1+\frac{0.085}{12}\right)^{12\cdot 15}\implies A=10000\left( \frac{2417}{2400} \right)^{180}\implies A\approx 35626.53$

8 0

3 years ago

PLS HELP Find the value of m∠ACD.<br> A. 15º<br> B. 90º<br> C. 60º<br> D. 30º

vladimir1956 [14]

Answer:

D.

$(3x - 15) = (45 - x) \\ 4x = 60 \\ x = 15 \\ < acd = (3 \times 15) - 15 \\ = 45 - 15 \\ = 30 \degree$

8 0

3 years ago

Read 2 more answers

Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $237.36. Water World is offering an

Juliette [100K]

Answer:

Divide the price by the number of months to find the monthly rate.

$237.36 ÷ 24 = $9.89 per month

$184.50 ÷ 18 = $10.25 per month

<u>The two year club, Aqua Plus is cheaper</u>

Step-by-step explanation:

6 0

3 years ago

To reach a vacation spot, the Jones family first traveled by plane and then drove the

navik [9.2K]

The distance flown by plane is 750 kilometers.

Step-by-step explanation:

Let,

Distance traveled by plane = x

Distance traveled by car = y

Total distance = x+y

According to given statement;

The distance by car was 125 kilometers less than the distance by plane.

y = x - 125 => x=y+125 Eqn 1

The total distance was 500 kilometers less than three times the distance traveled by car.

Total distance = 3y - 500

x+y=3y-500 Eqn 2

Putting value of x from Eqn 1;

$(y+125)+y=3y-500\\y+y+125=3y-500\\2y=3y-500-125\\2y-3y=-625\\-y=-625\\y=625$

Putting y=625 in Eqn 1

$x=625+125\\x=750$

The distance flown by plane is 750 kilometers.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

Considering only the values of <img src="https://tex.z-dn.net/?f=%5Cbeta" id="TexFormula1" title="\beta" alt="\beta" align="absm

morpeh [17]

$\large\boxed{Answer:}$

We will use trigonometric identities to solve this. I will use θ (theta) for the angle.

First of all, we know that cotθ = 1/tanθ. This is a trigonometric identity.

We can replace cotθ in the expression with 1/tanθ.

$sin\theta tan\theta sec\theta \frac{1}{tan\theta}$

Simplify: 1/tanθ * tanθ = tanθ/tanθ = 1

So now, we have:

$sin\theta sec\theta$

Next, we also know that secθ = 1/cosθ. This is another trigonometric identity.

We can replace secθ with 1/cosθ in our expression.

$sin\theta \frac{1}{cos\theta}$

Simplify:

$\frac{sin\theta}{cos\theta}$

Our third trigonometric identity that we will use is tanθ = sinθ/cosθ.

We can replace sinθ/cosθ with tanθ.

Now we have as our final answer:

$\large\boxed{b.\ tan\theta}$

Hope this helps!

7 0

3 years ago

Read 2 more answers