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larisa86 [58]
3 years ago
15

What is the value of x in the equation

Mathematics
2 answers:
Alex3 years ago
8 0

Answer:

D) 57

Step-by-step explanation:

1/3x- 1/2 = 18 1/2

1/3x = 19

(3) * 1/3x = 19 (3)

x = 57

Kisachek [45]3 years ago
8 0

Answer:

D. 57

Step-by-step explanation:

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Descibe the mothod of solving problems with numbers in standard form ?? I have 5 MIN
BlackZzzverrR [31]

Answer: A standard equation is set up like this: Ax + By = C (where A, B, and C represent numbers). To find the slope (or the rate at which something changes) you must divide the value of A by the value of B (A / B).

6 0
2 years ago
If $1,000 is invested at 4% simple interest, how much will the investment be worth after 2 years? Please explain how compound an
Novay_Z [31]
<h3>Answer:</h3>
  • simple interest: $1080.00
  • compounded annually: $1081.60
<h3>Step-by-step explanation:</h3>

<em>Simple Interest</em>

Simple interest is computed on the principal amount only. Each year, 4% of the principal is added to the balance. So, at the end of 2 years, the balance is ...

... $1000 + 0.04×$1000 + 0.04×$1000

... = $1000×(1 + 0.04×2) = $1000×1.08

... = $1080.00

_____

<em>Comment on the computation</em>

The added interest is the rate (per year) multiplied by the number of years. Here, that is 0.04×2×(principal amount). The formula for the simple interest earned is often seen as ...

... I = Prt . . . . . where I is the amount of interest, P is the principal amount, r is the interest rate for the time period, t is the number of time periods.

The account balance (A) with interest added is ...

... A = P + I = P + Prt

... A = P(1 +rt)

Here, the time period is years, and the rate given is an annual rate.

____

<em>Compound Interest</em>

Compound interest is computed on the <em>account balance</em> at the beginning of the period, not just the <em>principal</em> amount. After the first period, the account balance includes interest earned so far. So, the interest is earning interest. That is why it is called compounded interest.

Here, the balance at the end of the first year is the principal amount plus the interest that has earned:

... $1000 + 0.04×$1000 = $1000×1.04 = $1040.00

The balance at the end of the second year when the interest is compounded is this account balance plus the interest it earns:

... $1040 + 0.04×$1040 = $1040×1.04 = $1081.60

You may notice that the intial principal, $1000, has been multiplied by the factor 1.04 twice. Using exponents, the multiplier for a period of 2 years is 1.04×1.04 = 1.04².

_____

<em>Comment on the computation</em>

The multiplier of the account balance each year is raised to a power that is the number of years. Here, the account balance at the end of 2 years is (1+0.04)² times the principal amount. A formula that is seen for this is ...

... A = P(1 +r)^t . . . . . where A is the final account balance, P is the principal amount, r is the interest rate for the time period, and t is the number of time periods.

7 0
3 years ago
Help me, its trigonometry college
prohojiy [21]

4) (a) For these problems, you should take time to familiarize yourself with common fractions that appear on the unit circle.  \frac{\sqrt{3}} {3} does not appear in the unit circle unless you take the quotient 1/2 divided by sqrt(3)/2 which gives you 1/sqrt(3) which is the same as sqrt(3)/3.  So our numerator is 1/2 and our denominator is sqrt(3)/2.

And remember tangent is just sin/cos.  So what degree has sinx as 1/2 and and cosx as sqrt(3)/2?  Well, 30 degrees does, but 30 degrees is not within the range we are given.  That means they are looking for a sinx that gives us -1/2 and a cosx that gives us -sqrt(3)/2 and that is 210 degrees.

And 210 degrees in radians is 7pi/6.

I hoped that made sense.

(b) This is a lot easier. What angle gives us a cos x of -sqrt(3)/2?  According to the unit circle, 150 degrees and 210 degrees does.  They usually want these in radians, so the answer is 5pi/6 and 7pi/6, respectively.

5) What quadrant is radian measure 5 in?

Well 2pi or roughly 6.28 is a full circle. And 5 is slightly less than 6.28, so it is probably in quadrant IV.

But to be sure let's change 5 radian to degrees:

5 * 180/pi = 900/pi = 286.48 degrees

286.48 degrees is definitely in Q4, so we are correct.




7 0
3 years ago
The function y=40x describes how far from home Shu Ling is as she drives from Dallas to Miami. Graph the function. Use the graph
oksano4ka [1.4K]

Answer:

You can see the graph below.

To answer the question, you need to draw a vertical line from x = 12h up, until the line meets with the line.

Once the line meets with the line, draw a horizontal line from that point, and the value where this line intersects with the y-axis will be the distance from home after 12 hours.

The graph is kinda hard to read because the line is really steep, the green line is the equation y = 40*x

the red line is a line at x = 12

The black dashed line is the horizontal line that intersects with the y-axis.

In the graph, you can see that the dashed line intersects the y-axis at around y = 475.

Then a good estimate is that the distance after 12 hours is 475 (miles).

Now, we can compare this with the direct calculation, just replace x by 12 in the given line:

y = 40*12 = 480.

So our estimation is really accurate.

6 0
2 years ago
A stone is thrown upward from ground level. With what minimum speed should the stone be thrown so as to reach a height of 81 fee
butalik [34]
Use the kinematics equation:
v1^2-v0^2=2as
since v1=0 (at height of 81 ft), and a=g=-32.2, substitute values:

0-v0^2=2*(-32.2)(81 ft)
Solve for v0
v0=sqrt(2*32.2*81)=72.2 m/s
3 0
3 years ago
Read 2 more answers
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