Juan decided to start savings for college. He deposited $500 into an account which earns 4% simple annual interest. At the end of each year, he will add $250 to this account. How much will he have in his account after the end of three years?
a
$550
b
$770
c
$1,050.80
d
$1,342.83
Answers
Answer
I am getting a different answer The reason being the first year we calculating the 4% of the initial amount of the $500 towards the end of the year if he deposits the 250 the second year he gets to have a 4% interest of the 750 in total If he deposits the 250 in the 3rd he gets to have a 4% of 1000 So if you actually calculate that and get the total of all the amount which is 1,000 plus the percentages of all that you get what I've shared
9514 1404 393
Answer:
d $1342.83
Step-by-step explanation:
At the end of the first year, the account balance will be $500 plus 4% interest on that amount, plus the $250 deposited at the end of the year:
$500(1.04) +250 = $770
At the end of the second year, the account balance will be $770 plus 4% interest on that amount, plus the $250 deposited at the end of the year:
$770(1.04) +250 = $1050.80
At the end of the third year, the account balance will be $1050.80 plus 4% interest on that amount, plus the $250 deposited at the end of the year:
$1050.80(1.04) +250 = $1342.83
_____
Additional comment
You can make an appropriate guess by realizing the total of the deposits is ...
$500 + 3×250 = $1250
Adding interest to that will increase the amount. The only answer choice greater than $1250 is $1342.83.
Related Questions
Convert to millimeters: 21 centimeters A. 210 millimeters B. 21,000 millimeters C. 2,100 millimeters D. 2.1 millimeters
Answers
Answer:
A. 210
Step-by-step explanation:
Please help me with this one show me how u get it and the answer please I really I need help please please just tell me how you get it and the answer
Answers
Answer:
[tex]\sqrt{90}[/tex]
Step-by-step explanation:
Please see the attached image. Using the coordinates of two points, you can find the distance between them using this formula.
[tex]d=\sqrt{(-2-7)^{2}+(-1-(-4)^{2} } =\sqrt{(-9)^{2} +3^{2} } =\sqrt{81+9} =\sqrt{90}[/tex]
Identify the segment bisector of {MN} . Then find MN.
Answers
The figure.
To find:
The segment bisector of MN and value of MN.
Solution:
From the given figure it is clear that ray RP,i.e., is the segment bisector of MN because it divides segment MN in two equal parts.
Now,
Tiya flipped a coin 40 times. The coin landed heads up 16 times and tails up 24 times.
Part A: Based on the results, what is the experimental probability of the coin landing heads up? Show your work.
Part B: What is the theoretical probability of the coin landing heads up? Show your work. no files please
Answers
Answer:
A) 16/40 or 4/10
B) 1/2
Step-by-step explanation:
What is the answer?
Please answer quickly!
Thank you so much
Answers
Answer:
x=11
Step-by-step explanation:
Hi, there you are using are multiplying so you have to add the exponets 3 and 8 which would equal to 11
Adam jogs at an average speed of 10km/h from his house to the airport. The airport is 7km away from his house. At what time must Adam leave his house in order for him to reach the airport at 7:20 am.
Answers
Answer:
6:38am
Step-by-step explanation:
From the question we are told that
Average speed [tex]V_{avg}=10km/h[/tex]
Distance traveled [tex]d=7km[/tex]
Generally the velocity across a distance is mathematically given given as [tex]V=d/t[/tex]
[tex]10=\frac{7}{t}[/tex]
[tex]t=0.7h\\t=42minutes[/tex]
Therefore
7:20-42 minutes =6:38am
Lol can someone write me a haiku, it’s a poem with 3 lines. The first line needs 5 syllables the second 7 and the last 5 again. Wrote about anything pls LOLLL
Answers
Answer:
The flowers wither
Bean etch the weight of the sun
Yet the weeds stand proud
Hope you like it, Its weird I find Haikus cringed but Have a good day! =)
smell of salt water
as waves break over the bow
Bright yellow happy!
Hope this helps!
b) solve for x if x² +3x - 4 <0
Answers
Answer:
x=4,−1
Step-by-step explanation:
hope i helped
plz mark me brainlest
and have a nice day:)
Those are-3 and 1-
(X-3) (x-1)
X=3 X=1
Now let’s check to make sure that when plugged in the answer is over 0.
3^2+3(3)-4=
9+9-4=14
14 is greater than 0
✅
1^2+3(1)-4=
1+3-4=0
0 is not greater than 0
So x is 3
Given that x = 7, what is the value of -2x^0
Answers
Solve. 40 = -10x + 20
Answers
Answer:
hi
Step-by-step explanation:
40= -10x+20
40-20= -10x
20= -10x
x=20/-10
x=-2
hope it helps
have a nice day
Select the statement that describes the expression 5 x (8 − 5) ÷ 3.
5 times the sum of 8 and 5, then divide by 3
5 times the product of 8 and 5, then divide by 3
5 times the difference of 8 and 5, then divide by 3
5 times the difference of 8 and 5, then add 3
Answers
Answer:
Step-by-step explanation:
5 x (8 − 5) ÷ 3 5 times
5 x (8 − 5) ÷ 3 the difference of 8 and 5
5 x (8 − 5) ÷ 3 then divide by 3
5 times the difference of 8 and 5 then divide by 3
Blake is paid $8.75 an hour. He worked 6 hours and spent of his
pay on a book. How much money did he have after he paid for the
book?
YOU WILL BE MARKED BRAINLY :))
Answers
Answer :
$52.50 - x
Step-by-step explanation:
8.75*6 = 52.5
Price of the book = x
$52.50 - x
Use the following diagram to find the angle measures of the triangle, rounded to the nearest degree.
m∠A=
m∠B=
m∠C=
Answers
Answer:
m∠A = 30°
m∠B = 80°
m∠C = 70°
Step-by-step explanation:
By applying cosine rule in the given triangle,
b² = a² + c² - 2ac[cos(∠B)]
From the given triangle,
a = 14 m
b = 28 m
c = 24 m
(28)² = (14)² + (24)² - 2(14)(24)cos(B)
784 = 196 + 576 - 672cos(∠B)
cos(∠B) = 0.1786
∠B = [tex]\text{cos}^{-1}(0.1786)[/tex]
∠B = 79.71°
∠B = 80°
By applying sine rule in the given triangle,
[tex]\frac{\text{sinA}}{a}= \frac{\text{sinB}}{b}= \frac{\text{sinC}}{c}[/tex]
[tex]\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}= \frac{\text{sinC}}{24}[/tex]
[tex]\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}[/tex]
[tex]\text{sinA}= \frac{\text{sin(79.71)}\times 14}{28}[/tex]
sinA = 0.491958
A = 29.47°
A ≈ 30°
By applying triangle sum theorem,
m∠A + m∠B + m∠C = 180°
30° + 80° + m∠C = 180°
m∠C = 70°
How would the equation
Answers
Answer:
what
Step-by-step explanation:
Find the difference of the complex numbers.
(2 +8i)-(-5 - 3i)
Answers
Answer:
7 + 11i
Step-by-step explanation:
Simplify: (2 +8i)-(-5 - 3i) = 2 + 8i + 5 + 3i
Add real numbers to real numbers and imaginary to imaginary: 2 + 8i + 5 + 3i = 7 + 11i
A complex number can be shown as a pair of integers (a, b). The difference of the complex number (2 +8i)-(-5 - 3i) is 7+11i.
What is a complex number?A complex number can be shown as a pair of integers (a, b) forming a vector on an Argand diagram, which represents the complex plane.
The difference of the complex number can be done as following,
(2+8i)-(-5-3i)
= 2 + 8i + 5 + 3i
= 5+2 + 8i+3i
= 7 + 11i
Hence, the difference of the complex number (2 +8i)-(-5 - 3i) is 7+11i.
Learn more about Complex Number:
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Write an equation (any form) for the quadratic graphed below. Y=
Answers
Answer:
y = -2x^2 - 4x - 1
Step-by-step explanation:
We can see that the graph passes through (-2, -1), (-1, 1) and (0, -1).
Let's solve
ax^2 + bx + c = y
a(-2)^2 + b(-2) + c = -1
4a - 2b + c = -1
a(-1)^2 + b(-1) + c = 1
a - b + c = 1
a0^2 + b0 + c = -1
c = -1
we got c = -1 so we input it into the other 2
4a - 2b - 1 = -1
4a - 2b = 0
2a - b = 0
2a = b
a - b - 1 = 1
a - b = 2
a = b + 2
Let's input b = 2a
a = 2a + 2
-a = 2
a = -2
b = 2a = 2*(-2) = -4
c = -1
y = -2x^2 - 4x - 1
Please help me with 1,2,3,4,5,6,7,8,9 tell me how u get it and the answer please I really need help
Answers
Answer:
Step-by-step explanation:
A plant 3 in. tall grows an average of 0.5 in. each month. Which equation models the flowers height h after x months?
A. 3= X + 0.5
B. h= 3x + 0.5
C. 0.5= x + 3
D. h= 0.5x + 3
Answers
Answer:the answer is b
Step-by-step explanation:
i cant really explain how i know its kind of second natural to me now
Use the substitution method to determine the solution of the system of equations. y = -5x and 21x - 7y = 28
Answers
Answer:
x = 1/2 y = -5/2
Step-by-step explanation:
Since we already know an equation for y, we just need to plug it into the other equation.
21x - 7(-5x) = 28
21x + 35x = 28
56x = 28
x = 1/2
Now that we know x, we substitute it into the other equation, to find y.
y = -5x
y = -5(1/2)
= -5/2
What is the answer to this question please
Answers
Answer:
450cm3
Step-by-step explanation:
10 times 5 times 9
Answer:
Simple . the cuboid have to go to GYM to Work out the Volume . 1+2= 11 Answer
Solve 3/8 + n = 7/8 n = ?
Answers
Answer:
n = 4/8 or 1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Move all terms not containing n
to the right side of the equation.
Exact Form:
n=12
Decimal Form:
n=0.5
solve for x
enter the solutions least to greatest
-x^2 -8=-33
Answers
Answer:
[tex] \bf \huge ± 5 [/tex]
Step-by-step explanation:
Given :- x^ 2 - 8 = - 33to find :find ''x''explanation :⟼ - x^ 2 - 8 = - 33
step 1 : add 8 to both sides
⟼ − x² − 8 + 8 = − 33 + 8
⟼ - x² = - 25
step 2 : Divide both sides by -1
⟼ - x² / - 1 = - 25 / - 1
⟼ x² = 25
step 3 : take square root
⟼ x² = 25
⟼ x = ± √25
⟼ x = ± 5
∴ x = ± 5.
Select the correct answer.
As part of a class project, Sarah and Geoffrey conducted a survey asking their peers whether they planned on taking a music class the next year.
of the 90 students they surveyed, 43 responded favorably. Sarah and Geoffrey calculated the margin of error for different confidence intervals.
Their work is shown.
Sarah
Geoffrey
95% confidence:
90% confidence
ME = 1.96
0.48(1 - 0.48)
90
ME = 1.65V
133
Which student incorrectly found the margin of error and why?
A. Sarah incorrectly found the margin of error because she used the wrong critical value.
B. Sarah incorrectly found the margin of error because she used the wrong sample proportion
C. Geoffrey incorrectly found the margin of error because he used the wrong sample size.
D. Geoffrey incorrectly found the margin of error because he used the wrong critical value.
Answers
Answer:
Geoffrey incorrectly found the margin of error because he used the wrong sample size.
Please give be brainliest, I really need it.
Geoffrey incorrectly found the margin of error because he used the wrong sample size. Therefore, the correct option is option B.
What is mathematical error?Measurement Error is the difference between the approximated value and the actual value of an object/quantity. The relative error can be computed in the percent with the help of relative error formula. Errors in measuring instruments occur due to inescapable faults in the measuring instrument and limitations of the human eye.
There are three types of errors in solving mathematics problems, which are factual error, procedural error, and computational error. Geoffrey incorrectly found the margin of error because he used the wrong sample size.
Therefore, the correct option is option B.
To know more about mathematical error, here:
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Find the new price for the discount given. Round to the nearest cent if necessary $149.95 discounted 20%
Answers
Answer: 119.96
Step-by-step explanation:
"You purchase a vintage car for $140,000 and it appreciates (i.E. Increases in value) by 4% annually. How much will the car be worth in 10 years?"
Answers
Answer:
Future Value= $207,234.2
Step-by-step explanation:
Giving the following formula:
Initial value (PV)= $140,000
Appreciation rate (r)= 4% = 0.04
Number of years (n)= 10
To calculate the future value of the car after ten years, we need to use the following formula:
FV= PV*(1+i)^n
FV= 140,000*(1.04^10)
FV= $207,234.2
What is the 95% confidence level for students who are planning to vote for Talia as president of the club?
C = + E
Answers
Answer:
C=+E
Step-by-step explanation:
mm
The area of a rectangle is 26m^3n^4p^8.If the length of the rectangle is 13mn^3p^6 then which expression represents the width?
Answers
Answer:
width = area/Length
= 26mn^3p^4p^8 / 13mn^3p^6
Un alumno multiplica un número por 32 en lugar de multiplicarlo por 23, obteniendo un producto mayor en 54 al producto original. Halla la suma de cifras del producto original
Answers
Answer:
La suma de cifras del producto original es igual a 12.
Step-by-step explanation:
De acuerdo a la información proporcionada, si multiplicas un número "x" por 32 su resultado sería igual al producto original "y" más 54 dado que dice que se obtiene un producto mayor en 54 al producto original, lo que se puede expresar de la siguiente forma:
32x=y+54
Además, se puede inferir a partir del enunciado que si el número x se hubiera multiplicado por 23 el resultado habría sido el producto original que lo denominamos como "y", por lo que puedes decir que:
y=23x
Ahora puedes reemplazar y=23x en 32x=y+54 y despejar x:
32x=23x+54
32x-23x=54
9x=54
x=54/9
x=6
Finalmente, puedes reemplazar el valor de x en y=23x:
y=23x
y=23*6
y=138
Suma de cifras: 1+3+8 = 12
De acuerdo a esto, la respuesta es que la suma de cifras es igual a 12.
. Evaluate the following: |15 - 47] + 9 - (-2)(-4) - 17|
Answers
Answer:
48
Step-by-step explanation:
Since there is an absolute value, the answer must be positive. Multiply 2 by 8 since two negatives equal a positive. So, |15-47 + 9 - 8 -17|. Then add and subtract to get the answer. -32 + 9 - 8 -17 = -48. |-48| = 48
Answer: 50
Step-by-step explanation:
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Answers
Answer:
its C
Step-by-step explanation: