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BlackZzzverrR [31]
3 years ago
6

A 1year loan at 6% ended up costing $144 in simple interest . How much money was borrowed

Mathematics
1 answer:
Ghella [55]3 years ago
5 0
<span>How much money was borrowed</span> $144/0.06 = $2,400. 
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12 divided by the sum of h and 2
irinina [24]
Putting this into expression form, it would be: 
12 ÷ (h + 2) 
Hope this helps!
6 0
3 years ago
The circumference of Z is 84 cm. What is the length of xy (the minor arc)?
Orlov [11]

Answer:21 cm

Step-by-step explanation: The circle's circumference is 84 cm. 84 / 4 = 21. Therefore the length of the arc XY is 21 cm.

6 0
3 years ago
The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers. a) set up the variables Let _
Gelneren [198K]

Answer:

  • 34 and 17

Step-by-step explanation:

a) set up the variables

Let x represent the first number Then  y will represent the second number.

b) What is the equation that represents the above situation?

  • x = 2y
  • x + y = 51

c) Solve the equation.

<u>Substitute x in the second equation and solve for y:</u>

  • x + y = 51
  • 2y + y = 51
  • 3y = 51
  • y = 51/3
  • y = 17

<u>Then find x</u>

  • x = 2y = 2*17 = 34
4 0
3 years ago
Read 2 more answers
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?
PIT_PIT [208]

Answer:

<em>x=-14</em>

Step-by-step explanation:

The x-intercept of a line is the value of x that makes y=0.

A line can be expressed in its slope-intercept form:

y=mx+b

Once determined the equation of the line, the x-intercept can be calculated by setting y=0 and solving for x.

Let's find the slope of the line.

Suppose we know the line passes through two points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Let's pick the first two points of the table (-94,24) (-74,18). The slope is:

\displaystyle m=\frac{18-24}{-74+94}=\frac{-6}{20}=-\frac{3}{10}

The equation of the line is:

\displaystyle y=-\frac{3}{10}x+b

Now use one of the points to find b, for example (-94,24):

\displaystyle 24=-\frac{3}{10}\cdot (-94)+b

Operating:

\displaystyle 24=\frac{141}{5}+b

Solving:

b=24-\frac{141}{5}=-\frac{21}{5}

The complete equation of the line is:

\displaystyle y=-\frac{3}{10}x-\frac{21}{5}

To find the x-incercept, set y=0 and solve:

\displaystyle 0=-\frac{3}{10}x-\frac{21}{5}

\displaystyle x=\frac{\frac{21}{5}}{-\frac{3}{10}}=-\frac{21}{5}\cdot \frac{10}{3}

x=-14

5 0
3 years ago
The 10 participants in an experiment had the following reaction times ( in milliseconds ) : 778,783,784,786,790,804,807,810,819,
Nata [24]

Answer:

Mean. It includes all data points.

Step-by-step explanation:

-We first need to calculate the mean, median and mode then compare our values:

#Mean:

\bar x=\frac{1}{n}\sum{x_i}\\\\=\frac{1}{10}\sum{778+783+784+786+790+804+807+810+819+823}\\\\=\frac{1}{10}\times \\\\=798.40

#The median is the middlemost data point in a lsit data:

778,783,784,786,790,804,807,810,819,823

-Since our data points is an even number, the median number is calculated as:

median=\frac{1}2}\sum{5^{th}+6^{th}}\\\\=0.5[790+804]\\\\=797.00

#Mode is the data point with the highest frequency:

-Since there's no number appearing more than once, our set has no mode.

#Since our data set has no outliers and is not a skewed distribution, the mean will be the best measure as it includes all data points

8 0
3 years ago
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