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antiseptic1488 [7]

3 years ago

7

What is the value of x? Enter your answer in the box. X=

2 answers:

Alex Ar [27]3 years ago

6 0

Answer:

x = 54

Step-by-step explanation:

I think the angle measures are 2x + 2 and 3x - 52, but I'm not sure because the picture is not very clear.

The two angles shown are vertical angles, so they are congruent. Their measure are equal.

3x - 52 = 2x + 2

Subtract 2x from both sides:

x - 52 = 2

Add 52 to both sides:

x = 54

pishuonlain [190]3 years ago

3 0

Answer:

Step-by-step explanation:

2x +2 = 3x - 52

-2x -2x

2 = x -52

+52 +52

50 = x

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A large corporation starts at time t = 0 to invest part of its receipts continuously at a rate of P dollars per year in a fund f

Andrews [41]

Answer:

$A = \frac{P}{r}\left( e^{rt} -1 \right)$

Step-by-step explanation:

This is <em>a separable differential equation</em>. Rearranging terms in the equation gives

$\frac{dA}{rA+P} = dt$

Integration on both sides gives

$\int \frac{dA}{rA+P} = \int dt$

where $c$ is a constant of integration.

The steps for solving the integral on the right hand side are presented below.

$\int \frac{dA}{rA+P} = \begin{vmatrix} rA+P = m \implies rdA = dm\end{vmatrix} \\\\\phantom{\int \frac{dA}{rA+P} } = \int \frac{1}{m} \frac{1}{r} \, dm \\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \int \frac{1}{m} \, dm\\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |m| + c \\\\&\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |rA+P| +c$

Therefore,

$\frac{1}{r} \ln |rA+P| = t+c$

Multiply both sides by $r.$

$\ln |rA+P| = rt+c_1, \quad c_1 := rc$

By taking exponents, we obtain

$e^{\ln |rA+P|} = e^{rt+c_1} \implies |rA+P| = e^{rt} \cdot e^{c_1} rA+P = Ce^{rt}, \quad C:= \pm e^{c_1}$

Isolate $A$ .

$rA+P = Ce^{rt} \implies rA = Ce^{rt} - P \implies A = \frac{C}{r}e^{rt} - \frac{P}{r}$

Since $A = 0$ when $t=0$ , we obtain an initial condition $A(0) = 0$ .

We can use it to find the numeric value of the constant $c$ .

Substituting $0$ for $A$ and $t$ in the equation gives

$0 = \frac{C}{r}e^{0} - \frac{P}{r} \implies \frac{P}{r} = \frac{C}{r} \implies C=P$

Therefore, the solution of the given differential equation is

$A = \frac{P}{r}e^{rt} - \frac{P}{r} = \frac{P}{r}\left( e^{rt} -1 \right)$

4 0

3 years ago

A city's population is increasing at a rate of 2% per year.

Mariana [72]

Based on the information the number of people that will there after 20 years is: d.) 2.97 million.

Using this formula

P(t) = Population ×(1+ rate)^t

Where:

Population=2 million

rate=2%

time=20 years

Let plug in the formula

P(t) = 2×(1+.02)^20

P(t) = 2×(1.02)^20

P(t) = 2×1.485947

P(t) = 2.97 million

Inconclusion the number of people that will there after 20 years is: d.) 2.97 million.

Learn more about population here:brainly.com/question/25630111

6 0

2 years ago

Ryan buys some jumpers to sell on a stall.

katovenus [111]

Answer:

£540

Step-by-step explanation:

I worked it out let me know if you want me to upload a picture of my workings

8 0

3 years ago

What is the volume of the isosceles trapezoidal prism?

MAVERICK [17]

Answer:

316.25

I hope I Got The Right Answer

8 0

3 years ago

QUESTION<br><br>if h(x) =f(2-x)+1<br>determine the range of h

lesantik [10]

Answer:

h(x) =f(2-x)+1

determine the range

5 0

2 years ago