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gulaghasi [49]
3 years ago
5

Solve: -5+2*4^(2x-5)=151

Mathematics
1 answer:
SOVA2 [1]3 years ago
5 0

<u>Approximately 0.4</u> when rounded to  the nearest tenth. Simplify all the way, and then pull the exponents out and solve with the exponents.

Simplified version was:

2^1   x   2^(4x-10)  = 2^(156x-390)

then you would have,

1  +  4x  -  10  =  156x  -  390       solve that

You might be interested in
How do you know what angle degree goes on each corner?
Dahasolnce [82]

Let'sSo, we gave 2 parallel lines and 2 transversals, we have to match the angles.

Let's start with angle b,

\begin{gathered} b+65=180\text{ (angles in a straight line)} \\ b=180-65 \\ b=115^o \end{gathered}

Let's move on to angle e,

\begin{gathered} e=b\text{ (Vertically opposite angles)} \\ \text{but b = 115}^o \\ e=115^o^{} \end{gathered}

Let's move on to angle d,

d=110^o\text{ (V}ertically\text{ opposite angles)}

Moving to angle c, we have;

c=45^o\text{ (Vertically opposite angles)}

And, angle a;

\begin{gathered} a=b\text{ (Alternate angles)} \\ a=115^o \end{gathered}

8 0
1 year ago
A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha
White raven [17]

Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

\frac{dB}{dt} = rB-k

\Rightarrow \frac{dB}{dt} - rB=-k.......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor =e^{\int p(t) dt

                                     =e^{\int (-r)dt

                                     =e^{-rt}

Multiplying the integrating factor the both sides of equation (1)

e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}

\Rightarrow  e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt

Integrating both sides

\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt

\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C        [ where C arbitrary constant]

\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}

Initial condition B=7864 when t =0

\therefore 7864= \frac{k}{r} - Ce^0

\Rightarrow  C= \frac{k}{r} -7864

Then the general solution is

B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}

\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0

⇒k≈3145.72

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

                                                 =$1573.17

4 0
3 years ago
WILL ASSIGN BRAINLIEST!!!
Luda [366]
I beleive the answer is B
3 0
3 years ago
The employee who created the chart made an error when computing the number of pounds of meat for one of the serving sizes .for w
lozanna [386]

Answer: b. 50

Step-by-step explanation:

Hence the employee made an error for 50 serving size.

4 0
3 years ago
Simplify 2b –7+3+4 –+3
Y_Kistochka [10]

Answer:

Hope this helps :-)

Step-by-step explanation:

<h3>I don't know which one it is, but the answer to the one in the picture is </h3><h2>4b+14</h2><h3>and the answer to the one on brainly is </h3><h2>2b-3</h2>
4 0
1 year ago
Read 2 more answers
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