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arsen [322]
3 years ago
12

You deposit $850 dollars in a savings account that pays 5.6% simple annual interest. Find your account balance after

Mathematics
1 answer:
aev [14]3 years ago
3 0

Answer:

account balance ll be $937.31 and the interest is $87.31.

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259 Students go on a field trip. There are 19 vehicles, some vans and some buses.
Sunny_sXe [5.5K]

Answer:

12 vans

7 Buses

Step-by-step explanation:

I tried multiple versions but I finally got it right.

Since the buses can hold 25 students at a time I multiplied it by 7.

7 x 25 = 175

Then you'll need to find the remainder.

259-175 = 84

This number would be used to find the students going in the van

84/7= 12

So in total there would be 12 vans

and 7 buses

I hope this helps

5 0
3 years ago
There are 1560 students enrolled at greenwood middle school if 85% of these ride the bus how many does not ride the bus
loris [4]

Answer: 1326 students won't come to school

Step-by-step explanation:

All you have to do is find out 85% of 1560 which is 1326 students!

4 0
3 years ago
Evaluating Logarithms in Exercise, evaluate the logarithm without using a calculator. See Example 8.
Korvikt [17]
7 to what power is 49? 49 is 7 squared so the answer is: 2
5 0
3 years ago
One year had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at
lord [1]

Answer:

Thomas had the better year relative to their​ peers.

Step-by-step explanation:

<u>The complete question is</u>: One year Thomas had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 3.31. ​Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 3.02. For the​ males, the mean ERA was 4.837 and the standard deviation was 0.541. For the​ females, the mean ERA was 4.533 and the standard deviation was 0.539. Find their respective​ z-scores. Which player had the better year relative to their​ peers, or ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

We are given that for the​ males, the mean ERA was 4.837 and the standard deviation was 0.541. For the​ females, the mean ERA was 4.533 and the standard deviation was 0.539.

As, we know that the z-score is calculated by the following formula;

                                 Z  =  \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean

           \sigma = standard deviation

Now, firstly we will calculate the z score for Thomas;

z-score = \frac{X-\mu}{\sigma}

            = \frac{3.31-4.837}{0.541}  = -2.823

{Here, the mean ERA for the males was 4.837 and the standard deviation was 0.541}

Similarly, we will calculate the z score for Karla;

z-score = \frac{X-\mu}{\sigma}

            = \frac{3.02-4.533}{0.539}  = -2.807

{Here, the mean ERA for the females was 4.533 and the standard deviation was 0.539}

Now, it is stated in the question that the lower the​ ERA, the better the​ pitcher.

So, we can clearly see that Thomas had a lower ERA of z-score as -2.823 < -2.807. This means that Thomas had the better year relative to their​ peers.

5 0
3 years ago
given the line AB with A(1,4) and B(-3,-1) is parallel to line CD with C(8,3) and D(x,-7), solve for the missing value of x.​
umka2103 [35]

Answer:

x = 0

Step-by-step explanation:

We can find the missing value by solving for the other points (graphically or algebraically). We would first find the line of Points A and B in order to find the parallel line that would help us find the coordinate point with the x-value.

1) Graph points A, B, and C.

2) Calculate the slope of points A and B by using the slope formula:

y2 - y1/x2 - x1.  

-1 - 4/-3 - 1....The slope is 5/4.

3) Write 4 = 5/4(x) + b

**We get 4 from the point A (1, 4)

Plug 1 into x and solve for 4 in order to get your y-intercept.

4 = 5/4(1) + b

4 = 5/4 +b

**If 1 = 4/4, then 4 = 16/4.

16/4 = 5/4 + b

11/4 = b

2.75 = b

4) So our y-intercept is 2.75. We now have an equation of  y = 5/4x + 2.75 (graph it along with points A and B to see that it intersect both points.

5) Now we will use that line to find a line parallel to it. We know that if two lines have the same slope then they are parallel, so for the equation of the parallel line, we write: y = 5/4x + b so far.

6) We will find the y-intercept and use that to find the x-value of point D.

First we plug in the x and y values of point C to find the y-intercept

y = 5/4x + b --> 3 = 5/4(8) + b --> 3 = 40/4 + b --> 3 = 10 + b --> -7 = b

7) Now we have the equation of the line that is parallel to line AB: y = 5/4x -7

To find the missing value of x, plug the y-value of point D into the equation and solve for x.

--> -7 = 5/4x -7

--> x = 0

**You can double check this by graphing each point and both equations for the lines.

8 0
2 years ago
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