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Kipish [7]
3 years ago
12

A firm buys 12 file cabinets at $140 each, with payment in full due in 90 days. How much must the firm deposit now to have enoug

h to pay the bill if money is worth 3% simple interest per year? Use 360 days in a year.
Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0

Answer:

firm deposit  is $1667.50

Step-by-step explanation:

given data

buys 12 file = $140

time = 90 days

interest = 3%

solution

we get here return on money over 90 day period  is  

we know Return on 360 days = 3%

return on money over 90 day = 3% ÷ 4  = 0.75%

we consider here required amount = x

so

$140 × 12 = x (1+0.0075)

x  =  \frac{1680}{1+0.0075}

x = 1667.50

so firm deposit  is $1667.50

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Can someone please help me its urgent!!!!!!!!!!<br> 3x + 11 = 3x - 11
user100 [1]

Answer:

\Large\boxed{\mathsf{\Rightarrow NO\quad SOLUTIONS}}

Step-by-step explanation:

<h3><u>TO SOLVE:</u></h3>

Isolate by the x on one side of the equation.

<h3><u>SOLUTIONS:</u></h3>

First, subtract 3x from both sides.

\displaystyle \Rightarrow \mathsf{3x+11-3x=3x-11-3x}}

Solve.

\displaystyle \mathsf{11=-11}

Sides are NOT equal.

\Large\boxed{\mathsf{\Rightarrow THERE \quad ARE \quad NO \quad SOLUTIONS}}}

Therefore, there are no solutions.

6 0
3 years ago
Listed below are prices in dollars for one night at different hotels in a certain region. Find the​ range, variance, and standar
Artyom0805 [142]

Answer:

Range = 115$

Standard Deviation = 43.76$

Variance = 1915.142$

Option  A) The measures of variation are not very useful because when searching for a​ room, low​ prices, location, and good accommodations are more important than the amount of variation in the area.

Step-by-step explanation:

We are given the data for  prices in dollars for one night at different hotels in a certain region.

234, 160, 119, 131, 218, 207, 146, 141        

Range:

Sorted data: 119, 131, 141, 146, 160, 207, 218, 234

\text{Range} = 234-119 = 115\$

Standard Deviation:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1356}{8} = 169.5

Sum of squares of differences = 4160.25 + 90.25 + 2550.25 + 1482.25 +  2352.25 + 1406.25 + 552.25 + 812.25 = 13406

\sigma = \sqrt{\dfrac{13406}{7}} = 43.76\$

Variance =

\sigma^2 = 1915.142\$

Measure of variance for someone searching for room:

Option  A) The measures of variation are not very useful because when searching for a​ room, low​ prices, location, and good accommodations are more important than the amount of variation in the area.

5 0
3 years ago
Paul went on a bike ride of 30 miles. He realized that if he had gone 8 mph faster, he would have arrived 12 hours sooner. How f
lara [203]

Answer: He actually rode 2 miles per hour on his trip

Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.

Time  = distance /speed  t will represent time, s is the speed:  t = 30/s Use the rime it would have taken at the higher speed to create an equation:

t-12 = 30/s+8   replace the y with the 30/s

30/s -12 = 30/s+8

(s)(30/s -12 ) = (s)(30/s+8 )  Cross multiply to cancel denominators  

(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s   Simplify:  

(-1)(-12s² -96s +240 ) =0 ==>  12s² +96s -240  divide all by 12

s² + 8s -20 = 0   Factor and solve for s

(s +10)(s -2) =0    s-2=0   S= 2  

Proof:

30/2 = 15 hours for original trip at 2mph,  

increase speed by 8mph   2 + 8 = 10mph

30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.

(Brainilest, please :-)

4 0
3 years ago
I will give u brianliest
lianna [129]

Answer:

10.63

Step-by-step explanation:

8 0
2 years ago
Find the slope and y intercept.​
Alik [6]

Answer:

slope: 2/3

y intercept: -1

Step-by-step explanation:

slope: rise/run

8 0
2 years ago
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