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4 years ago

10

Solve the following equation. log Subscript 2 Baseline (3 x plus 7 )equals 5 The solution set is StartSet nothing EndSet . (Sim

plify your answer.)

1 answer:

tigry1 [53]4 years ago

3 0

Answer: $x=\dfrac{25}{3}$

Step-by-step explanation:

The given equation : $\log_2(3x+7)=5$

Using logarithmic property : $\log_a N=M\to N=a^M$

The given equation will be equivalent to $(3x+7)=2^5$

$\Rightarrow\ 3x+7=32$

Subtract 7 from both sides , we get

$3x=25$

Divide both sides by 3 , we get

$x=\dfrac{25}{3}$

Hence, the solution is $x=\dfrac{25}{3}$

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You make 8.5% interest a year on your investment account!

likoan [24]

Answer:

$My~gain~in~that~year~was~\$176.5$

Step-by-step explanation:

$Greetings!$

$I'm~Isabelle~Williams~and~will~be~answering~your~question!$

$I~have~\$1,500 ~in ~my ~investment~ account.~ Rate~ of~ interest ~for~ a\\ ~year~ in~ my ~investment~account = 8.5\$$

$So,~ the~ amount~ of~ money~ I~ am ~making~ on ~my ~investment ~in ~a ~year:$

$=\$\frac{1500\times 8.5}{100}$

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$I ~owe~ \$ 1600 ~on~ a ~credit~ card .~ Rate ~of ~ interest ~a ~year ~on~ this~ credit\\ card ~debt, = 19 \%$

$So,~ the~ money~ I~ am~ paying~ in~ interest ~in~ a~ year~ on~ my~ card~is:$

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5 0

3 years ago

Find all the factors of x3 -3x2 -4x +12 given that -2 is a zero.

Aliun [14]

.....................

5 0

3 years ago

vagabundo [1.1K]

Answer:

The total surface are is 252 sq. units.

Step-by-step explanation:

The right triangular sides have legs 8 units and 6 units and hypotenuse 10 units.

So, their area will be $2(\frac{1}{2} \times 8 \times 6) = 48$ sq. units.

Now, the length of the prism is 8.5 units.

So, the area along the length will be = (8.5 × 6 + 8.5 × 8 + 8.5 × 10) = 204 sq. units.

Therefore, the total surface area is (48 + 204) = 252 sq. units. (Answer)

7 0

4 years ago

What is the approximate area of the shaded region? Circumscribed square with side length 8 meters. The four regions between the

myrzilka [38]

Answer:

13.76 square meters

Step-by-step explanation:

The side of square is 8 meters.

So, the diameter of circle = 8 meters.

⇒ Radius = (diameter of circle) ÷ 2 = 8 ÷ 2 = 4 meters

Shaded region = Area of square - Area of circle

= (Side × Side) - π × (radius)²

= 8 × 8 - π × 4 × 4 {∵ π = 3.14 or 22÷7}

= 64 - 50.24

= 13.76 square meter

4 0

3 years ago

"At $1.31 million, they closed last month for...28 percent above what they paid in 2007." How much did they pay in 2007?

irina [24]

Answer:

Step-by-step explanation:

Answer: 1,069,200

Step-by-step explanation:

We know that they paid 1.32 million and was 19% above what they paid in 2007.

Since they paid 19 percent above (1.19) 2007 we can reverse and do 0.81 * 1,320,000 to get our answer.

You may be wondering why it's 0.81 instead of 0.19 that is because 1.19 is over 1. Since 100 is equal to a whole we subtract 0.19 from 100 to get our value we multiply by.

1,320,000 * 0.81 = 1,069,200

We can also find the different simply by doing 1,320,000 * 0.19 which equals 250,800 and to get our answer from here we just subtract 1,320,00 by 250,800

8 0

4 years ago

Read 2 more answers