Which of these groups of values plugged into the TVM Solver of a graphing
calculator will return the same value for PV as the expression
($415)((1 +0.003)24 – 1)?
(0.003)(1 +0.003)24
Answers
The TVM solver is a tool found in graphing calculators, that solve Time
Value of Money problems.
The group of values that will return the same value as the given expression is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :ENDReasons:
In the TVM solver, we have;
I = The annual percentage rate
N = n × t
t = The number of years
PV = Present value
PMT = Payment
P/Y = Number of payments per year = n
C/Y = Number of compounding periods per year = n
The formula for monthly payment is presented as follows;
[tex]M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t} }{\left(1+\dfrac{r}{n} \right)^{n \times t} - 1}}[/tex]
Which gives;
[tex]P = \mathbf{\displaystyle \frac{M\cdot \left(\left(1+\dfrac{r}{n} \right)^{n \times t} - 1 \right) }{\left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t}}}[/tex]
Therefore, we get;
Where;
M = PMT = -415
P = PV
r = I
P/Y = n = 12
Therefore;
[tex]\displaystyle 0.003 = \frac{I}{12}[/tex]
I = 0.003 × 12 = 0.036 = 3.6%
N = n × t = 24
[tex]P = \displaystyle \frac{(415)\cdot \left(\left(1+\dfrac{I}{12} \right)^{24} - 1 \right) }{\left(\dfrac{I}{12} \right) \cdot \left(1+\dfrac{I}{12} \right)^{24}} = \mathbf{\displaystyle \frac{(415)\cdot \left(\left(1+0.003\right)^{24} - 1 \right) }{\left(0.003\right) \cdot \left(1+0.003 \right)^{24}}} = ?[/tex]
The value of the equation is the present value, PV = ?
When payment are made based on the PV, we have FV = 0
The group of values the same value as the expression[tex]\displaystyle \frac{(\$415)\cdot (1 + 0.003)^{24} - 1}{(0.003) \cdot (1 + 0.003)^{24}}[/tex], when plugged into the TVM solver of a calculator is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END
Learn more about Present Value Solver here:
https://brainly.com/question/1759639
https://brainly.com/question/13573265
Related Questions
solve 3(2x - 3) + 4x = -59
Answers
Answer:-5
Step-by-step explanation:
please help solve 11x+10>=150
Answers
Answer:
12.7272
Step-by-step explanation:
subtract 10 on both sides
divide by 11 on both sides 11/11>140/11
Answer:
x=130
Step-by-step explanation:
11x+10>=150
11x>= 150-10
11x>=140
x>=140-11
x>=129
so, because "x" is bigger than 129,
so, x=130
What is the the cube root of 310 to the nearest integer
Answers
Answer:
6.7679
Please mark this brainiest?
Step-by-step explanation:
Cube root of 310 can be represented as 3√310. The value of cube root of one is 310.The nearest previous perfect cube is 216 and the nearest next perfect cube is 343 .
Answer:
the cube too of 310 is 7
Step-by-step explanation:
as cube root of 310 is 6.76
Ella buys a computer for $785 her local tax rate is 7% how much does Ella pay for the computer
Answers
Answer:
$839.95
Step-by-step explanation:
There are 2 ways to go about this. First, the logical method is to calculate the tax and then add it to the price:
7%=7/100=0.07
7% “of” the amount says to multiply. The word “of” in maths means multiply:
0.07×$785=$54.95. The tax is $54.95
The computer costs $785. Plus the tax $54.95: $785+$54.95=$839.95
She pays $839.95 for the computer, including tax.
You can do this calculation in 1 step. If you are like me, I like to do my math as quickly and as efficiently as possible. What we did above is this:
100% of the computer price plus 7% of the computer price to get the total cost taxes in.
100% + 7% = 107%. And 107% = 1.07
So we have the following:
$785×1.07=$839.95
Hope this helps :)
Answer:
$839.95
Step-by-step explanation:
From the question, we are informed that Ella buys a computer for $785 and that her local tax rate is 7%. The amount that Ella pay for the computer, including tax will be:
= $785 + (7% × $785)
= $785 + (0.07 × $785)
= $785 + $54.95
= $839.95
If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.
Answers
Answer:
Answer:first angle = 25 degrees
Second angle = 35 degrees
Third side = 120/degrees
Step-by-step explanation:
if mai runs 21 labs at the same rate ( 4 minutes ), how long does it take her ?
Answers
21 divided by 4
a line has a slope of m=-2 and the point (3, -1) lies on the line.what is the represent the equation of the line in point slope form
Answers
Answer:
Step-by-step explanation:
To find out if a point (x, y) is on the graph of a line, we plug in the values and see if we get a true statement, such as 10 = 10.
Work out the percentage change when a price of £40 is decreased to £18
Answers
£22/£40= %55 reduction
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was three years with a standard deviation of 1.8 years. Suppose that it is somehow known that the population standard deviation is 1.5 years. Conduct a hypothesis test at a 5% significance level to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal.
Answers
Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.
At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:
[tex]H_0: \mu = 2.5[/tex]
At the alternative hypothesis, it is tested if it has increased, that is:
[tex]H_1: \mu > 2.5[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}[/tex]
[tex]z = 1.7[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of [tex]z^{\ast} = 1.645[/tex]
Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.
A similar problem is given at https://brainly.com/question/24166849
If ; gallon of paint covers ; of a wall, then how many
quarts of paint are needed for the entire wall?
Answers
Answer:
how many of a wall a galloon of paint cover?
Step-by-step explanation:
Decrease £5480 by 10%
Answers
Step-by-step explanation:
the currency does not matter (only if we get into any fractions of the main unit and have to name the fractions properly). % is usually about the number itself.
so,
5480 = 100%
1% = 100%/100 = 5480/100 = 54.8
10% = 1% × 10 = 54.8×10 = 548
and so,
£5480 - 10% = 5480 - 548 = £4932
if course, because of the special number 10% we could have gotten the answer faster, but I wanted to show you the full line of thinking when dealing with %. and needed when the number is not so nice.
€493.2
Explanation
5480 multiply by 10/100
That mean 5480 multiply 0.1 =548
548- percentage decrease which is(90%)
That mean
548multiply 0.9= €493.2
The segments shown below could form a triangle.
A
с
B
4
9
B
15
A
A. True
B. False
Answers
Answer: True.
Step-by-step explanation:
do the math and u will see
No, The segments shown below could not form a triangle.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Three line segment with measure 9 , 4 and 15 are shown.
We know that;
The sum of two sides of a triangle are always greater than the third side,
Here, 9 + 4 = 13 < 15
Hence, The segments shown below could not form a triangle.
Thus, The segments shown below could not form a triangle.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
Carley beat the school record for the 400 meter run by 1.3 seconds. If she ran in 55.7 seconds, what was the record?
Answers
Answer:
57 seconds
Step-by-step explanation:
55.7 + 1.3 = 57
Hope this helps!
Answer:
57 seconds
Step-by-step explanation:
Since she beat the record by 1.3 seconds, it means the previous record was 55.7 + 1.3. Therefore, the record was 57 seconds.
Transposing the formula R=R0 (1+at) for t gives?
Answers
thats ur answer,hope it helps
Answer:
t
Step-by-step explanation:
I am struggling with my math. help me please
HELP ME!!!!
Answers
Answer: 234
Step-by-step explanation:
list three rational number between -3 and -2
correct answer needed full explanation
Answers
Answer:
-3×4= -12
-2×4= -8
three rational number between them are -11 , -10 , -9
Step-by-step explanation:
hope that it will help you
The rational numbers between -3 and -2 are;
-5/2, -9/4 and -11/4
Rational NumbersRational numbers are numbers that can be represented as the quotient of two integers but not equal to zero.
Now, to find the rational number between -3 and -2, we will use the formula;
x = ½(a + c)
x = ½(-3 + (-2))
x = -5/2
Another rational number is;
x = ½(-(5/2) + (-2))
x = ½(-9/2)
x = -9/4
Using the same pattern, we can still get another one as -11/4
In conclusion, the three rational numbers will be -5/2, -9/4 and -11/4
Read more about rational numbers at; https://brainly.com/question/12088221
There is a line that includes the point (-20, -7) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y=1x+13
Step-by-step explanation:
we can plug in the two points into the slope-intercept formula
-7=-20(1)+b
solve for the right side
-7=-20+b
add 20 to both sides
13=b
plug the y intercept into the equation
y=1x+13
y=1/2x-4 in Standard Form
Answers
[tex]y =\dfrac 12 \cdot x -4\\\\\implies y = \dfrac{x-8}2\\\\\implies 2y = x-8\\\\\implies x -2y=8[/tex]
What’s the scale factor
Answers
Answer:
Step-by-step explanation:
The scale is depending on the size of each cat. Lets say the larger cat is A and the smaller one is B. The scale factor from B to A is 1.75 (or 3.5/2)
when solving for scale factor you divide the original drawing and scale drawing. Original is denominator, Scale is Numerator.
i am stuck on this zearn lesson someone pls help
Answers
Answer:
2 or 2/1
Step-by-step explanation:
For every cup of water there is 1 cup of water. As seen in the ration 6:12 (reduced to 1:2) and 1/2:1 (increased to the whole number of 1:2)
A math student made the following conjecture:
When you add a multiple of 5 and a multiple of 8, the answer is a multiple of 5.
Which of the following numbers can be used as a counterexample to the conjecture?
A. 80 + 8 = 88
B. 16 + 16= 32
C. 10 + 5 = 15
D. 10 + 40 = 50
Answers
Answer:
D is the answer
Step-by-step explanation:
10 is multiple of 5 and 40 is the multiple of 8
50 is the multiple of 5
Please mark as brainliest answer
Factor the trinomial
10x^2+11X-6
Answers
Answer:
Not factorable with rationable numbers
Step-by-step explanation:
You cannot factor this expression with rationable numbers.
Which table is not a proportional relationship
Answers
Answer:
B and D
Step-by-step explanation
Answer:
D
Step-by-step explanation:
sequence in the earnings is unproportional difference between 27 and 54 is not 9What is the product in simplest form −6/11⋅3/4
Answers
Helpppp what is Log70
Answers
Answer:
Log 70
What is Log 70? - The value of Log 70 is 1.84509804001. The log base 10 of 70 is the base 10 logarithm of 70 which can be written as log10(70) or lg(70).
What is log10(70) - The logarithm base 10 of a number is its logarithm to the base of 10 where lg(70) = 1.84509804001.
Step-by-step explanation:
log10 70
Result 1.84509804001425
check the attached file pls it might be needed for you !!
Mark brilliant
Hey can someone please help me in this question?
Answers
Answer:
£48
Step-by-step explanation:
Area of walls = area of four rectangular walls + area of two triangular shape at front and back
Area of a rectangular wall = l *w = 8 * 4 = 32 m²
Area of 4 rectangular walls = 4 *32 = 128 m²
Triangle:
Base = 6m
height = h = 7 - 4 = 3 m
Area of triangle = (1/2)*b*h
[tex]= \dfrac{1}{2}*6*3 = 3*3 = 9 \ m^{2}[/tex]
Area of 2 triangles = 2*9 = 18 m²
Area of four walls = 128 + 18 = 146 m²
Number of paint tins required = 146 ÷ 25 = 5.84 = 6
6 tins are required.
Cost of 6 tins = 8 * 6 = £48
help help help pls I have to do it
Answers
What is a common denominator for 2/3 and 1/2?
Answers
Answer:
6 or 7/6
Step-by-step explanation:
they are both prime so 2*3=6
4/6+3/6=7/6
Answer:
21/31/6/2/34861/27651/7266163)
Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
Answers
Answer:
Read image
Step-by-step explanation:
Desmos
in spring 2017, data was collected from a random selection of sta 2023 students. one of the question how many concerts they had attended in the past six months. for the 39 randomly selected upperclassmen, the sample mean was 2.31 and sample standard deviation was 2.32. for the 35 randomly selected underclassmen, the sample mean was 2.29 and the sample standard deviation was 2.64. what is the point estimate of the difference in the population mean difference in number of concerts attended between underclassmen and upperclassmen?
Answers
Answer:
Step-by-step explanation:
5
According to the point estimate, the population mean difference in the number of concerts attended by freshmen vs seniors is 0.02.
What is the difference in population mean's point estimate?The difference in sample means is a point estimate for the difference in population means.
What's the best way to respond to this query?Data were collected from a random sample of STA 2023 students in the spring of 2017 in order to answer the question. One of the questions they were asked was how many concerts they had gone to in the previous six months. The sample mean was 2.31, with a sample standard deviation of 2.32 for the 39 upperclassmen who were chosen at random. The sample mean was 2.29, and the sample standard deviation was 2.64 for the 35 randomly selected underclassmen.
The point estimate of the population mean difference in the number of concerts attended by underclassmen versus upperclassmen has been requested.
The difference between the sample means is a point estimate for the difference between the two population means, as we already know.
Upperclassmen sample mean - underclassmen sample mean = point estimate,
Alternatively, 2.31 - 2.29 = 0.02 is a point estimate.
The population mean difference in the number of concerts attended by underclassmen against upperclassmen is 0.02 according to the point estimate.
Find out more about point estimates at
brainly.com/question/14000344
#SPJ2