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tino4ka555 [31]

4 years ago

8

Use the subtraction property of equality to complete the following statement:

1 answer:

Delicious77 [7]4 years ago

3 0

<span> 10x + 6 = 21
first subtract 6 from both sides of the equation
10x=15
so I believe the answer you are looking for is 10x=15

If you take this one step further and solve for x then you divide both sides of the equation by 10 so then the solution is x=1.5

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PilotLPTM [1.2K]

Answer:

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Step-by-step explanation:

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8 0

3 years ago

Find the lateral area of the regular prism with height h, if the base of the prism is:

rjkz [21]

Answer:

The lateral area of the prism is $84\ cm^{2}$

Step-by-step explanation:

we know that

The lateral area of the regular prism is equal to

$LA=Ph$

where

P is the perimeter of the base of the prism

h is the height of the prism

Find the perimeter of the base

$P=6(3.5)=21\ cm$ ----> is a regular hexagon (6 equal sides)

we have

$h=4\ cm$

substitute

$LA=(21)(4)=84\ cm^{2}$

6 0

3 years ago

Someone pls help!!!???

Ket [755]

Answer:

Its #3

Step-by-step explanation:

7 0

3 years ago

What is -5/4 to the 2nd power?

Vsevolod [243]

Answer:

$\frac{25}{16}$

Step-by-step explanation:

$(-\frac{5}{4})^2\\\\ \text {Apply power of a fraction rule: } (\frac{a}{b})^x=\frac{a^x}{b^x}\\\\(-\frac{5}{4})^2 = \frac{-5^2}{4^2}=\frac{25}{16}\\\\\boxed{(-\frac{5}{4})^2=\frac{25}{16}}$

8 0

3 years 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

4 years ago