As a CFO of a company, you are asked by the company's board to make quarterly payments of $400 for 7 years to a computer firm for computer maintenance. How much money do you need to deposit into an interest bearing account paying 7.1% compounded quarterly so that you can make all the $400 payments over this 7 year period?
Answers
Answer:
the present value is $16,203.80
Step-by-step explanation:
The computation of the amount that need to deposit is given below:
Given that
PMT = $400
FV = $0
NPER = 7 × 7 = 49
RATE = 7.1% ÷ 4 = 0.7889%
The formula is shown below:
= -PV(RATE;NPER;PMT;FV;TYPE)
After applying the above formula, the amount that need to be deposit is $16,203.80
Hence, the present value is $16,203.80
Related Questions
A researcher collected data on the speed of vehicles traveling through a construction zone on a state highway, where the posted speed limit was 25mph. The recorded speed of 20 randomly selected vehicles is given below: 2038243927402837293530313219331834213623 Calculate the sample mean, standard deviation, and the median of the above data. (Round to one decimal place
Answers
Answer:
[tex]\bar x =29.7[/tex]
[tex]\sigma = 6.81[/tex]
[tex]Median = 30.5[/tex]
Step-by-step explanation:
Given
[tex]Data:20,38,24,39,27,40,28,37,29,35,30,31,32,19,33,18,34,21,36,23[/tex]
[tex]n = 20[/tex]
Solving (a): The sample mean
This is calculated as:
[tex]\bar x =\frac{\sum x}{n}[/tex]
[tex]\bar x =\frac{20+38+24+39+27+40+28+37+29+35+30+31+32+19+33+18+34+21+36+23}{20}[/tex]
[tex]\bar x =\frac{594}{20}[/tex]
[tex]\bar x =29.7[/tex]
Solving (b): The standard deviation
This is calculated as;
[tex]\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n}}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{928.2}{20}}[/tex]
[tex]\sigma = \sqrt{46.41}[/tex]
[tex]\sigma = 6.81[/tex]
Solving (c): The median
First, sort the data in ascending order
[tex]Sorted:18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40[/tex]
The position of the median is calculated as:
[tex]Median = \frac{n+1}{2}[/tex]
[tex]Median = \frac{20+1}{2}[/tex]
[tex]Median = \frac{21}{2}[/tex]
[tex]Median = 10.5th[/tex]
The 10.5th item represents the mean of the 10th and 11th item.
So, median is:
[tex]Median = \frac{30+31}{2}[/tex]
[tex]Median = \frac{61}{2}[/tex]
[tex]Median = 30.5[/tex]
Helpppsppspspspspsp plssss
Answers
Answer: About 804.25
Step-by-step explanation:
Do the inverse of the circumference formula and then take the radius and put it into the formula for the area of a circle
Find the quotient of 10x4 / 5x2.
Answers
water has a density of 1.0 g/cm3 a plastic box has a volume of 78 cm and weighs 80 grams will the box sink or float on water
If possible explain thx!
Answers
What we'll do:
A method to find whether an object will float or sink in a liquid is to find it's specific gravity with respect to the liquid, The Specific Gravity tells us the percentage of object's mass which will be submerged in water
Finding the Specific Gravity:
Density of Box:
Density = Mass / Volume
Density = 80 grams / 78 cm³
Density = 1.02 grams/cm³
Specific Gravity of Box with respect to water:
Specific Gravity = Density of Box / Density of Water
we know that density of water is 1 gm/cm³, plugging the values
Specific Gravity = 1.02 / 1
Specific Gravity = 1.02
Hence, 102% of the object will be under water
Q. but I've only heard about 100% of something, how can something be more than 100%?
A. The answer is that the extra 2% over the 100% is providing to the object being even deeper underwater
p(x) = (x + 2)(2x^2+ 3x – 9)
Plot all the zeros (c-intercepts) of the polynomial in the interactive graph.
Answers
Answer:
-2, -3, 3/2
Step-by-step explanation:
Factor 2x^2+ 3x – 9
(x+3)(2x-3)
(x + 2)(x+3)(2x-3) - the zeros are basically the opposite of the numbers here
x+2=0
x=-2
x+3=0
x=-3
2x-3=0
x=3/2
To plot just put the numbers on the x line because it is (x,0)
You take out a loan for $ 1 , 000 at a simple interest rate of 10 % to be paid back in 12 monthly installments. What is the amount of the monthly payments?
Answers
Answer:
i need 5 points im sorry mate
Step-by-step explanation:
Answer:
8.33333333333
Step-by-step explanation:
Question 12 (5 points)
Which statement represents the transitive property of equality?
OA) If m ZA= mB, then m
B) If x = y, then y = x.
OC) If WX = XY, then XY = WX.
OD) If WX = XY and XY = YZ, then WX = YZ.
Answers
Answer:
D) If WX = XY and XY = YZ, then WX = YZ.
Step-by-step explanation:
The transitive property states that if a=b and b=c, then a=c. So, if two different values equal to the same, separate value, then they are also congruent. The answer choice, d, represents this idea because WX and YZ both equal XY and are shown to be equal.
Answer:
OD) If WX = XY and XY = YZ, then WX = YZ.
Step-by-step explanation:I took the test
Help i'll give you brainlyest
Answers
Answer:
Its not A and B and I know that, but can you show the rest so I can see if its C because the rest of the picture isn't there
Annette has 1/4 yard of fabric. She cuts it into 3 equal pieces. Each piece of fabric is ____ yard.
Answers
Answer:
1/12
Step-by-step explanation:
Simpliy divide 1/4 by 3
(1/4)/3=1/12
3
13
1
3
Area
-
in?
6
N
1
1
2
3
2
1
6.
2
3
4
5
6
7
8
Enter
Answers
Answer:
IF THERE IS A LINK DON'T CLICK ON IT
Step-by-step explanation:
IT IS A COMPUTER TABLET AND PHONE VIRUS
PLS HELP IM CONFUSED
Answers
Answer:
D
Step-by-step explanation:
6 and 3 can both be divided by 3, which gives u 2/1
Answer:
D. 2 cups of flour/1 cup of milk.
Step-by-step explanation:
Here's the definition of unit rate:
unit ratethe ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc.
Since we need to find the unit rate, find the GCF of 6 & 3 (3). Now divide both values by 3.
(6/3)/(3/3)
2/1
The unit rate between cups of flour to cups of milk is 2:1, which is D.
NASA launches a test rocket with an initial velocity of 235 meters per second from an initial height of 15 meters above sea-level. Find a quadratic function that models the height of the rocket, in meters above sea-level, as a function of time t , in seconds after the launch. (HINT: 4.9 meters = 16 feet) Use your model to answer the following questions. Assuming that the rocket will splash down into the ocean, how many seconds after launch does splashdown occur? (round to the nearest tenth of one second) The rocket splashes down after seconds. What is the maximum height above sea-level attained by the rocket? (round to the nearest meter) The maximum height is meters above sea-level.
Answers
9514 1404 393
Answer:
48.0 seconds2833 metersStep-by-step explanation:
A graphing calculator shows the points of interest nicely.
The rocket splashes down after 48.0 seconds.
The maximum height is 2833 meters above sea level.
__
The equation for the motion is ...
h(t) = -4.9t^2 +235t +15 . . . . launch at 235 m/s from height of 15 m
The vertex (maximum height) is found at ...
t = -(235)/(2(-4.9)) = 235/9.8 ≈ 23.980 . . . seconds
Then the maximum height is ...
h(23.980) = (-4.9(23.980) +235)(23.980) +15 ≈ 2833 . . . meters
The value of t when h(t) = 0 can be found using the quadratic formula.
t = (-235 -√(235² -4(-4.9)(15)))/(2(-4.9)) = (-235 -√55519)/-9.8
t ≈ 48.023 ≈ 48.0 . . . seconds
What is the amount of simple interest saved on a savings deposit of $1,500 for 18 months at an interest rate of 6%?
Answers
Answer:
$135
Step-by-step explanation:
Given data
Principal= $1,500
Time= 18 months = 1.5 years
Rate= 6%
The formula for simple interest is given as
SI= PRT/100
Substiute
SI= 1500*6*1.5/100
SI= 13500/100
SI= $135
Hence the simple interest after 18months(1.5 years) is $135
Graph the equation.
y-3= -5(x-1)
Answers
Step-by-step explanation:
First you gotta write it in standard form
y - 3 = -5(x-1)
distribute -5(x-1) = -5x + 5
y - 3 = -5x + 5
+3 +3
y = -5x + 8
I used desmos graphing caculator to graph
Can someone help me? I am stuck on this question! and tysm to the people who helped me!! <3 have a nice day!
Answers
Answer:
100/70
Step-by-step explanation:
i did 25 times 4 got 100 then did 100/70
Is the following number, rational, irrational, or nonreal?
Answers
Answer:
Rational
√36
=6
plz mark me as brainliest
Answer: Rational
Step-by-step explanation:
= /36
= 6
Can you give me a thank you?
6 more than the quotient
of a number and 5
Answers
Good luck
please help meeeeeeeewwewe
Answers
Explanation:
X + 3x + 10 = 90
4x+10=90
-10. -10
4x 80
4. 4
X=20
Step by step:
1. Add
2. Opposite operation +/-
3.Divide
4. Get your answer
50 m
50 m
28 m
Find the area of the isoceles triangle.
The area is
square meters.
Answers
9514 1404 393
Answer:
672 m²
Step-by-step explanation:
There are several ways you can do this.
It appears you are intended to divide the isosceles triangle into halves that are right triangles with a leg of 14 and a hypotenuse of 50. The height can then be found from the Pythagorean theorem:
h² = 50² -14² = 2304
h = √2304 = 48
Then the area is ...
A = 1/2bh
A = (1/2)(28 m)(48 m) = 672 m² . . . triangle area
_____
Additional comment
You may recognize the right triangle as a (7, 24, 25) Pythagorean triple, multiplied by 2.
Jose is going hiking for 5 days. He packed 8 bags of trail mix to eat along the way.
Jose wants to eat all the trail mix without having any left over. He also wants to eat
the same amount every day. Use division to help Jose calculate how much he can
eat every day
Answers
Answer:
1.6
Step-by-step explanation:
since it is 5 days and you are splitting the traik mix
divided the amount of trail mix by the day
Answer:
The answer is D
Step-by-step explanation:
PLS HELP FAST ITS THE LAST DAY TO DO THIS TEST NO LINKSSSS
An electrician charges $40 per hour plus an initial service fee of $75. He charges a customer $195 for 3 hours of work.
When this linear relationship is graphed, which value represents the slope?
A. 3
B. 40
C. 75
D. 195
Answers
Answer:
40 because every hour he charges 40 dollas so its 40x+75=y
Step-by-step explanation:
The slope is 40 because every hour he charges 40 dollars so its 40x+75=y
We have given that,
An electrician charges $40 per hour plus an initial service fee of $75. He charges a customer $195 for 3 hours of work.
We have to determine,
When this linear relationship is graphed, which value represents the slope.
What is the slope?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as a rising overrun.
The slope is 40 because every hour he charges 40 dollars so its 40x+75=y
To learn more about slope visit:
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due today! The price of an ice cream cone is $2.75. You buy one for yourself and another for your little brother. How much sales tax will you pay? The sales tax rate is 7.5% How much sales tax will you pay?
Answers
Answer:
$0.41
Step-by-step explanation:
1 ice cream cone: $2.75
2 ice cream cones: 2 * $2.75 = $5.50
7.5% of $5.50 =
= 0.075 * $5.50
= $0.4125
Answer: $0.41
f(x)=
2x
2
−x−15
−4x+12
Answers
Answer:
f(x) = -x -3
Step-by-step explanation:
If r = .15, this indicates
strong negative correlation.
strong positive correlation.
weak negative correlation.
weak positive correlation.
Answers
Answer:
Weak Positive Correlation
Step-by-step explanation:
The r value of 0.15 indicates a weak positive correlation value because a weak correlation value is less than 0.3, anything between 0.3 and 0.7 are a moderate correlation, and anything greater than 0.7 would be a string correlation. So, since this is less than 0.3, this is a weak correlation. A positive correlation is a positive value and a negative correlation value is a negative number, so this would be a weak positive correlation value.
A value of r = 0.15 suggests a weak positive correlation, indicating a slight tendency for the variables.
As per the question, the value of r is positive (greater than 0), which suggests a positive correlation between the variables.
However, the value of 0.15 is close to 0 and relatively small, indicating a weak correlation.
This means that there is a weak tendency for the variables to increase or decrease together.
Thus, a value of r = 0.15 suggests a weak positive correlation, indicating a slight tendency for the variables to increase or decrease together, but the relationship is not strong.
To learn more about the correlation click here:
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Plz hurry.....................
Answers
Answer:
figure of cuboid
volume of cuboid=l×b×h
Step-by-step explanation:
(10×3×4)in cube=120incube
In circle H with m \angle GHJ= 104m∠GHJ=104 and GH=15GH=15 units, find the length of arc GJ. Round to the nearest hundredth.
Answers
Answer: GJ= 27.23
i dont know how to explain this lol sorry but that answer is right
The length of arc GJ is equivalent to 26π/3 units.
What is Circumferance?Circumferance is defined as the length of the boundary of any two dimensional shape. Mathematically, we can write circumferance as -
C = ∫F(x) dx
Given is that in circle H with m ∠GHJ = 104 and GH = 15 units.
The length of the arc subtending an angle θ at the center is -
L = θ/360 x 2πr
L = 104/360 x 2π x 15
L = 13/45 x 2π x 15
L = 26π/3 units
Therefore, the length of arc GJ is equivalent to 26π/3 units.
To solve more questions on area and circumferance, visit the link-
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If D = {1,3,5}, E={3,4,5}, F={1,5,10}
Find
a) ∪
b) ∩
c) ( ∩ )
d) ( ∪ ) ∩
e) ( ∩ )
Answers
Step-by-step explanation:
a)U={1,3,4,5}
b)={1,3,5}
Find the least common multiple (LCM) for the pair of
numbers 6 and 18.
Answers
Answer:
LCM = 24
Step-by-step explanation:
HELP PLZ WILL GIVE BRAINLIEST !!! Simplfy completely (−4x + 6y)(2x − y). Show all work for full credit.
Answers
work shown in photo below
hope this helps.
Persons taking a 30-hour review course to prepare for a standardized excam averago a score of 620 on that exam. Persons taking a 70-hour review course average a score of 809. Find a linear function, S(t), which fits this data, and which
expresses score as a function of time. Use this function to predict an average score for persons taking a 42-hour review course. Do not round until the final answer. Then round to the nearest tenth as needed.
Answers
Answer:
S(t) = 4.725t + 478.25
S(t) = 4.725(42)+478.25
S(t) = 676.7
Step-by-step explanation:
In the question, score is a function of time, that means time is the x-axis, while score is the y-axis.
Order the pairs to get:
(30,620) and (70, 809)
With these values, you use the the equation [tex]\frac{x2-x1}{y2-y1}[/tex] to get the slope m.
[tex]\frac{70-30}{809-620} = 4.725[/tex]
Use this equation and input any ordered pair to get the final function.
y-y1 = m(x-x1)
y-620 = 4.725x-141.75
y = 4.725x + 478.25
Replace x with t and y with S(t) to fit the x & y axis of the question.