How do you answer <br>3000(1+7%)×3

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Mkey [24]

Answer:

x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

(2x +8) +(2x +4) = 180

4x +12 = 180 . . . . . . . . . simplify

x +3 = 45 . . . . . . . divide by 4 (because we can)

x = 42 . . . . . . subtract 3

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<em>Additional comment</em>

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

5 0

3 years ago

Tesla Battery Recharge Time.The electric vehicle manufacturing company Tesla estimates that a driver who commutes 50 miles per

madam [21]

Answer:

a.) f(x) = $\frac{1}{30}$ where 90 < x < 120

b.) $\frac{2}{3}$

c.) $\frac{2}{3}$

d.) $\frac{1}{2}$

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = $\frac{1}{120 - 90} = \frac{1}{30}$ where 90 < x < 120

b.)

P(x < 110) = $\int\limits^{110}_{90} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{90} = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

c.)

P(x > 100 ) = $\int\limits^{120}_{100} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{120}_{100} = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

d.)

P(95 < x< 110) = $\int\limits^{110}_{95} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{95} = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}$

7 0

3 years ago

8/5 * 5/9 greater than equal to or less than 5/9

Musya8 [376]

I believe this answer is greater than

6 0

3 years ago

Emi made a 90 on her math test. There was 60 problems on her test. How many did she miss?

viva [34]

If she made a 90 that means 90 percent aka .90 so multiply that by 60 to get 54 right aka 6 wrong which you could find either by subtracting 54 from 60 or solving for 10 percent bc she got that much wrong and multiply .10x60=6 wrong

3 0

4 years ago

Hellen invested 20,000 that earns 4.68% compounded monthly for four years00 earn 4.68% compounded monthly for 4 years future val

Goshia [24]

Answer:

24,108.59

Step-by-step explanation:

The future value formula seems applicable.

FV = P(1 +r/n)^(nt)

FV = 20,000(1 +0.0468/12)^(12·4) = 20,000(1.0039^48)

FV ≈ 24,108.59

4 0

4 years ago

How do you answer 3000(1+7%)×3