X + y = 4200 so x = 4200 - y
0.035x + 0.045y = 174

substitute x = 4200 - y into 0.035x + 0.045y = 174

0.035x + 0.045y = 174
0.035(4200 - y) + 0.045y = 174
147 - 0.035y + 0.045y = 174
0.01y = 27
y = 2700

x + y = 4200
x = 4200 - 2700
x = 1500

answer

$1500 in 3.5%
$2700 in 4.5%

8 0

3 years ago

5, 7, 11, 19 Neither Geometric Arithmetic

dimaraw [331]

Arithmetic sequence

Explanation

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence

Step 1

Let

$\begin{gathered} a_1=5 \\ a_2=7 \\ a_3=9 \\ a_4=11 \end{gathered}$ $\begin{gathered} a_2-a_1=7-5=2 \\ a_3-a_2=9-7=2 \\ a_4-a_3=11-9=2 \end{gathered}$

so, the difference is always the same, 2

Hence, the answer is a Arithmetic sequence

6 0

1 year ago

The exam scores (out of 100 points) for all students taking an introductory Statistics course are used to construct the followin

ella [17]

Answer:

The inter quartile range is 55

Step-by-step explanation:

Interquartile range:-

Definition:-

The inter quartile range is the difference between the upper (Q3) and lower(Q1) quartiles, and describes the middle 50% of values when ordered from lowest to highest.

Interquartile range = higher quartile - lower quartile

given data 50.25.80.10

write the ascending order 10 25 50 80

Step:-1

Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is odd, then the median is

$({\frac{n+1}{2} })^{th}$ observations

Step2:-

The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is even, then the median is $({\frac{n}{2} })^{th}$

$({\frac{n+1}{2} })^{th}$

In given data the number of observations is '4'(even)

If the number of observations is even, then the median is $({\frac{n}{2} })^{th}$

$({\frac{n+1}{2} })^{th}$

median is $({\frac{4}{2} })^{th}$ is 2 observations and $({\frac{4+1}{2} })^{th}$ is 2.5 observations.

so we have to select average of these two observations.

therefore the median is '3' observation

median of the given data = 50

Step:3

Interquartile range = higher quartile - lower quartile

= 80-25

=55

3 0

3 years ago

If a rectangle has an area of 64 square units and a length of 16 units, what is its width? If necessary, round your answer to tw

sveta [45]

The formula for finding area of a rectangle is a=lw.

Write what is given
Area is 64.
Length if 16.
Width is unknown.
Therefore the equation would look like this:
64=16*w
Now to solve for w.
Divide 16 both sides.
64/16 is 4. Therefore:
w=4

7 0

3 years ago