Answer:
Formula: Future value of annuity
In 20 years: $249,875
Total Interest: $99,875
Step-by-step explanation:
Use the formula for future value:
FV =
P = $6,000
r = 0.04
n = 1
t = 25
FV =
FV = $249,875
To find the total interest earned, first find the total value of the deposit payments:
$6,000 annual payments for 25 years = 6,000 • 25
= $150,000
(I copied that explanation from somewhere else so its a little messed up. I just couldn't explain it properly. Hope this helps!)
Account balance In 20 years is $249,875 and total interest earned is $99,875.
What is the future value?The FV formula assumes a constant rate of growth and a single up-front payment left untouched for the duration of the investment. The FV calculation can be done one of two ways, depending on the type of interest being earned.
We have,
P = $6,000
r = 0.04
n = 1
t = 25
We know the formula for future value
FV= PV [tex](1 + r)^{n}[/tex].
where:
P=Investment amount
R=Interest rate
T=Number of years
According to the question
FV=$6,000×(1+0.04
FV = $249,875
To find the total interest earned, first find the total value of the deposit payments:$6,000 annual payments for 25 years = 6,000 × 25= $150,000
Total interest earned = FV - annually payment for 25 year = $249,875 - $150,000 = $99,875
To learn more about future value from here
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If u steal point i report
Answer:
Y:4 X:540
Step-by-step explanation:
Answer: first divide so you make it one and then you multiply hope that helps
Step-by-step explanation: then you can add them to get by one then multiply
Determine the value of side h in the diagram below
Solve and state the correct answer for the trigonometric equation below
tan y = 6 - 4 cot y where
[tex] 0 \leqslant y \leqslant 360[/tex]
Answer:
y = {37.4°, 79.2°, 217.4°, 259.2°}Step-by-step explanation:
Given
tan y = 6 - 4 cot yWe now that
cot y = 1/tan ySubstitute tan y with x:
x = 6 - 4/xx² = 6x - 4x² - 6x + 4 = 0x² - 6x + 9 = 5(x - 3)² = 5x - 3 = ± √5x = 3 + √5x = 3 - √5Replace x with tan y:
tan y = 3 + √5 ⇒ y = arctan (3 + √5) ≈ 79.2° + 180°ktan y = 3 - √5 ⇒ y = arctan (3 - √5) ≈ 37.4° + 180°kAnswer is:
y = {37.4°, 79.2°, 217.4°, 259.2°}The measure of <1
I don’t understand how to solve
Answer:
<1=55°
Step-by-step explanation:
180-125=55
The slope of the line below is - Write a point-slope equation of the line
using the coordinates of the labeled point.
Answer:
[tex]y +9 = -4(x - 4)[/tex]
Step-by-step explanation:
Given
[tex]m = -4[/tex] --- slope
[tex](x_1,y_1) = (4,-9)[/tex] --- point
See attachment for complete question
Required
Determine the line equation
This is calculated as follows:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute values for m, x1 and y1
[tex]y - (-9) = -4(x - 4)[/tex]
Simplify the expression on the left-hand side:
[tex]y +9 = -4(x - 4)[/tex]
please help asap no trolls!
Answer:
t = 17
s = 46
Step-by-step explanation:
Congruent Triangles
If two triangles are determined to be congruent, their side lengths and angles have the same measure.
We are given the condition that triangles HIJ and DCB are congruent. This implies that sides JH and DB have the same measure, thus:
s = 46
We can also say that sides IJ and CB have the same measure, thus:
t = 17
Question 11 of 25
What is the area of a triangle with a base of 9 units and a height of 7 units?
A. 126 sq. units
B. 63 sq. units
C. 31.5 sq. units
D. 15.75 sq. units
SUB
Answer:
triangle formula 1/2* base * height
Step-by-step explanation:
1/2*9*7 = 31.5 sq units
A news report says that 9% of middle school students are on the track team.
There are 600 students in your middle school.
How many students in your school would you expect to be on the track team?
Answer:
54 students.
Step-by-step explanation:
If you have 600 and 9% the nearest rounding point is %10. %10 of 600 is 60, and 1% of 60 is 6, so 60-6=54.
please helppppppppppppppp
Answer:
D
it is D D D D D D D D D D D D D D D D D D D
Solve for x using the
distributive property.
-5(x - 2) = -20
Answer:
x=6
Step-by-step explanation:
-5(x - 2) = -20
first multiple 5 by x and -2
-5x 10 = -20
subtract 10 from 10 and -20
-5x=-30
then divide 5
x=6
Please help ASAP it’s due in 10 minutes pleaseeee I’m begging u
If the length of a cube is 2cm then find the surface area of the cube?
Given:
Length of a cube is 2 cm
To Find:
Surface area of the cube
Solution:
A cube consists of 6 faces.
The area of each face = side x side
So, the total surface area of a cube = 6 x
side x side
Let a be the length of the given cube
: Surface area of a cube = 6a square
a = 2 cm (Given)
Surface area of cube = 6 x 22 =(6 x 4) = 24 cm square.
Hence, the surface area of the given
cube is 24cm square.
Hope it helps!
Hellppp please!!! Find the area of the shaded region
Answer:
1600-400pi
Step-by-step explanation:
There are 2 semicircles making it a full circle. We are doing (40*40)-the area of the circle. We do 20*20 since that it is the radius and get 400. We then multiply it by pi. We get 400pi. Now we find the area of the square. This is 40*40 which gives us 1600. 1600-400pi is our answer
(8.8x10^-5)^-5 simplifed in scientifc notation
Answer:
5(44 x 10^x)^
Step-by-step explanation:
Multiply 88 x 5 = 44
5(44 x 10^x)^
helpppppppppppppppppp
Answer:
2 solutions
Step-by-step explanation:
Given the expression
2m/2m+3 - 2m/2m-3 = 1
Find the LCM of the expression at the left hand side:
2m(2m-3)-2m(2m+3)/(2m+3)(2m-3) = 1
open the bracket
4m²-6m-4m²-6m/(4m²-9) = 1
Cross multiply
4m²-6m-4m²-6m = 4m² - 9
-12m = 4m² - 9
4m² - 9+12m = 0
4m² +12m-9 = 0
Since the resulting equation is a quadratic equation, it will have 2 solutions since the degree of the equation is 2
Car rideshare services are a popular option for people needing to move about in large cities. The scatterplot shows the distances of trips and fares, in dollars, for an adult living in a city over a period of a month. The value of r for the scatterplot is 0.950.
How would the value of the correlation coefficient change if the fares were plotted on the x-axis and distances on the y-axis?
The value of the correlation coefficient would be –0.950.
The value of the correlation coefficient would not change.
The value of the correlation coefficient would be closer to 0.
The value of the correlation coefficient would be closer to 1.
Answer:
The value of the correlation coefficient would not change.
Step-by-step explanation:
If the relationship between distance of trips and fares in dollars gives a correlation coefficient value of 0.950. This can be interpreted to mean that the relationship between both variables is strong and positive such that an increase in distance leads to corresponding increase in fares of the trip and vice versa. Thus, interchanging the axis upon which the variables are plotted would still tied the same correlation Coefficient value as the correlation coefficient does not depend on the axis upon which the variables are plotted.
Step-by-step explanation:
If its change it will not be right
Find the product.
(–12 - n)2
Answer:
n^2 +24n +144
Step-by-step explanation:
(-12-n)^2
(-12-n)(-12-n)
144+12n+12n+n^2
n^2 +24n +144
i think... :)
5/8 - 4/5 subtract as indicated and express your answer in lowest terms
Answer:
-7/40
Step-by-step explanation:
5/8 - 4/5
~Find common denominators
25/40 - 32/40
~Subtract
-7/40
Best of Luck!
sam drove 220 miles on 8 gallons of gas. find the unit rate.
Answer:
27.5
Step-by-step explanation:
Answer: I got 27.5
Step-by-step explanation:
This is a fraction equal to
220 miles ÷ 8 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 8
220 miles ÷ 8
8 hours ÷ 8
=
27.5 miles
1 hour
=
27.5 miles
hour
= 27.5 miles per hour
Paul wants to save $90 to go on a trip with his friends. He has $30 in his savings, and plans on saving $15 a week until he has enough money to go. Which of the equations below represents the situation?
Answer:
15 X w(how many weeks) + 30 = 90 or 15 X 4 + 30 = 90
Step-by-step explanation:
so he needs $90 he has $30 and he gets 15 a week so we are going to say a week will be w so however many weeks (4) so you will need to multiply it by 15 and it will be 60 then you add 30 and you get 90.
Explain how to evaluate algebraic expression
given value of a variable.
If Jim Roller can paint a room in 3 hours while John Brush would take 5 hours, how long will they take if they work together? 1/8 hour 8/15 hour 1 7/8 hours
Answer:
Step-by-step explanation:
Each hour, Jim does 1/3 of the job if working alone.
Each hour, John does 1/5 of the job if working alone.
Let x = number of hours to do the job if they work together. So, each hour, they do 1/x of the job when they work together.
We get the equation: 1/3 + 1/5 = 1/x
Multiply the equation by the LCD, 15x: 5x + 3x = 15
8x = 15
x = 15/8 = 1 7/8 hrs
ANSWER: (C).
ok can someone please help me? 15 pts
Answer:
3.2
Step-by-step explanation:
12.8/4 which makes the answer 3.2
What is being supported in the protest depicted?
A)Women wanted President Wilson to champion their right to vote.
B)Women demanded President Wilson recognize their right to free speech.
C)Women criticized President Wilson for sending troops to fight in the war.
D)Women expected President Wilson to provide equal pay for their work in the factories.
Answer:
the person above me is right it is A or one
Step-by-step explanation:
someone please help me asap! i will give branniest!
Discuss: a. The role of the expansion of 1/(1 - t) in powers of t in the explanation of the Basic Convergence Principle. b. The role of the Basic Convergence Principle in the explanation of the ratio test.
Answer:
See convergence analysis below
Step-by-step explanation:
For the expansion of 1/(1-t) in powers of t, we can recall that an infinite Geometric series with first term "1" and common ratio "t", in the case that the absolute value of "t" is smaller than 1, can be represented by:
[tex]\Sigma\limits^\infty_0\, t^n=\frac{1}{1-t} \\[/tex]
The condition for such, is that the absolute value of "t" is smaller than "1", which gives us the radius of convergence for this series "1" and the interval of convergence: - 1 < t < 1
Recall as well that using the geometric sequence [tex]1 + t + t^2 + t^3 +...[/tex]
The ratio test becomes [tex]\frac{a_{n+1}}{a_n} = t[/tex]
which is the SAME as the common ratio for the geometric sequence, and which in order to converge to the value [tex]\frac{1}{1-t}[/tex] requires that the absolute valu of the common ration be smaller than "1" rendering the same radius of convergence as discussed above.
Three hundred three and two hundredths
303.02
Three hundred three=303
Two hundredths= .02
= 303.02
Given that y varies inversely with x, and y = 60 when x = 2, find x if y = 24
Step-by-step explanation:
xy = k, where k is a real constant.
When x = 2, y = 60.
=> (2)(60) = k, k = 120.
Hence when y = 24, x(24) = (120), x = 5.
The graph below have the same shape . What is the equation of the red graph ?
A. G(x) = (7-x)^2
B. G(x) = 1-x^2
C. G(x) = 7-x^2
D. G(x) = (1-x)^2
Answer:
Option B is correct .
Step-by-step explanation:
According to Question , both the graph have same shape . If we look at the the first graph it cuts x - axis at (0 , 2) and ( 0 , -2) . Hence x = 2 and -2 are the zeroes of the equation .
And ,the given function is ,
[tex]\implies f(x) = 4 - x^2 \\\\\implies f(x) = 4-x^2=0 \\\\\implies 2^2-x^2=0\\\\\implies (2-x)(2+x) = 0 \\\\\boxed{\red{\bf \implies x = 2 , (-2) }}[/tex]
• Hence ,we can can see that x = 2 and (-2) are the zeroes of graph.
This implies that if we know the zeroes , we can frame the Equation.
On looking at second parabola , it's clear that cuts x - axis at ( 1, 0 ) and (-1,0). So , 1 and -1 are the zeroes of the quadratic equation . Let the function be g(x) . Here , a and ß are the zeroes.
[tex] \begin{lgathered}\implies g(x) = (x-\alpha)(x-\beta) \\\\\implies g(x) = (1+x)(1-x) \\\\\boxed{\pink{\bf \implies g(x) = 1 - x^2}}\end{lgathered} [/tex]
Hence option B is correct .
Round the nearest 2 decimal places, 892/15=
Answer:
59.47
Step-by-step explanation:
a calculator might help