The total balance in Raul's account after 40 years when he retires is $65,714.90.
What is the total balance?The formula that can be used to determine the balance of the accout is: monthly amount saved x annuity factor.
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 1.5/12 n = number of periods = 12 x 40 = 480$100 x [(1.00125^480) - 1 ] / 0.00125 = $65,714.90
Here is the complete question:
Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year. What is the balance in the account after 40 years?
To learn more about annuites, please check: https://brainly.com/question/24108530
Find the circumference.
Use 3.14 for π.
r = 2m
C = [?] m
C=πd
circumference = 12.57m
hope it helps...!!!
Vera has challenged Alexey to a round of Marker Mixup. Marker Mixup is a game where there is a bag of 5 red markers numbered 1 through 5, and another bag with 5 green markers numbered 6 through 10
Alexey will grab 1 marker from each bag, and if the 2 markers add up to more than 12 he will win If the sum is exactly 12, he will break even, and If the sum is less than 12, he will lose $6
What is Alexey's expected value of playing Marker Mixup?
Answer:
Step-by-step explanation:
The total possble combinations = 5 * 5 = 25 ways.
The number of ways to get exactly 12
= 2,10 3,9 4,8 5,7 = 4 ways.
The ways to get > 12
= 3,10 4,9 4,10 5,8 5,9 5,10 = 6 ways.
So the number of ways to get < 12 = 25 - 4 - 6 = 15 ways.
Expected value
= 4(0) + 6(x) + 15(-6)
I have written x as you have not said how much he gets if he wins.
Answer:
−$2.40
Step-by-step explanation:
correct on khan
45th term of an arithmetic sequence having a=3 and d=8 is:
Answer:
a45 = 320
Step-by-step explanation:
The 45th term of the Arithmetic Sequence will be 355.
We have a Arithmetic Sequence with a = 3 and d = 8.
We have to determine the 45th term of this sequence.
What is the formula to calculate the nth term of an Arithmetic Sequence ?The formula to calculate the nth term of an Arithmetic Sequence is -
a(n) = a + (n - 1)d
a - first term of A.P.
d - Common difference of A.P.
n - position of term
According to the question -
a = 3
d = 8
n = 45
Then, using the formula to calculate the nth term, we get -
a(n) = a + (n - 1)d
a(45) = 3 + (45 - 1)8
a(45) = 3 + 44 x 8
a(45) = 3 + 352
a(45) = 355
Hence, the 45th term of the Arithmetic Sequence will be 355.
To solve more questions on Arithmetic Sequences, visit the link below-
https://brainly.com/question/19828148
#SPJ2
Consider the rhombus ABCD with the side length AB of 14 cm and the measure of the angle B of 120 °. Through the vertex A goes a certain secant that intersects the extensions of the sides BC and CD in E, respectively F.
Calculate:
[tex] \frac{1}{ce} + \frac{1}{cf} [/tex]
Answer:
1/14
Step-by-step explanation:
In the given geometry, we have similar triangles:
ΔCEF ~ ΔBEA ~ ΔDAF
This lets us write the relations for corresponding sides ...
CF/CE = DF/DA
where DF = CF -CD
We can rearrange this relation to give the value we're looking for as follows.
__
Making the substutition for DF, and multiplying by CE, we have ...
CF = CE(CF -CD)/DA
Both DA and CD are sides of the rhombus, so are both 14 cm in length. Multiplying by DA and making the number substitution, we have ...
DA·CF = CE·CF -CE·CD
14·CF = CE·CF -14·CE . . . . substitute 14 for DA and CD
14(CF +CE) = CE·CF . . . . . add 14·CE
(CF +CE)/(CE·CF) = 1/14 . . . . divide by 14·CE·CF
1/CE +1/CF = 1/14 . . . . . . . . . simplify
solve for a ~
[tex]a {}^{2} - 5a + 6 = 0[/tex]
thankyou ~
Answer:
Hi there!
Given equation :-[tex]\:\mathsf{a^2\:-\:5a\:+\:6\:=\:0}[/tex]
Now=> By splitting the middle term
=> [tex]\:\mathsf{a^2\:-\:2a\:-\:3a\:+\:6\:=\:0}[/tex]
=> [tex]\:\mathsf{a(a\:-\:2)\:-\:3(a\:-\:2)\:=\:0}[/tex]
=> [tex]\:\mathsf{(a\:-\:2)\:-\:(a\:-\:3)\:=\:0}[/tex]
We get ,=> [tex]\:\sf{a\:=\:2\: and\: a\:=\:3}[/tex]
[tex]\:\mathsf{Hope\:this\:helps\:you!\::)}[/tex]
Thank you!
Answer:
[tex]a = 3 \: \: \: and \: \: a = 2[/tex]
Step-by-step explanation:
⬇
[tex]a^{2} - 3a - 2a + 6 = 0[/tex]
⬇
[tex]a \: (a - 3) \: \: (a - 2)[/tex]
⬇
[tex]{}\ a - 3 = 0 \\ a = 2{}[/tex]
1) Which fractions are equivalent to 6/12? Choose ALL the correct answers.
12
Answer:
Infinite
Step-by-step explanation:
Most common examples are 1/2 3/6 7/14 4/8 2/4 5/10 8/16 50/100
Order the integers from greatest to
least: 4, -3, 0, 8, -5.
A 5, 3, 0, 4,8
B 3.-5, 0. 4.8
8, 4.0, 3, 5
D 0, -3, 4, 5,8
Answer:
8, 4, 0, -3, -5
(greatest to least order)
-Answer: C-
Step-by-step explanation:
8 is positive so its greatest
-5 is negative but it is farthest away from 0 so it is least
HELPPP PLSSSS THE PYTHAGOREAN THEOREM
Answer:
Step-by-step explanation:
a²+b² = c² c is always the longest line thats opposite to the 90 degree angle
for 1
15² + b² = 17²
b² = 17² - 15²
b = √(17² - 15²)
b= 8
what is 2pi*4^2 + 2pi*4*4
~giving brainliest!~
Answer:
[tex]64\pi[/tex]
Step-by-step explanation:
[tex]2\pi {(4)}^{2} + 2\pi \: 4 \ast4 \\ \\ = 2\pi \ast16 + 2\pi \ast16 \\ \\ = 32\pi + 32\pi \\ \\ = 64\pi[/tex]
Answer:
64π
Step-by-step explanation:
2π(4²) + 2π(4)(4) <== exponents first
2π(16) + 2π(16) <== multiply
32π + 32π <== add
64π <== final answer
Note: 4 * 4 can also be written as 4²
Hope this helps!
the dot plot below shows the number of books read during one month by students in the sixth grade at Ledbetter middle school.Each dot plot represents one student
Answer:
Bedwetter middle school? Also where is dot plot
Step-by-step explanation:
Express (x+9)^2 as a trinomial in standard form.
Answer:
x^2 + 18x + 81
Step-by-step explanation:
(x+9) (x+9)
then distributive property
[tex](x+9)^2\\\\=x^2 + 2\cdot 9 \cdot x + 9^2\\\\=x^2 +18x+81[/tex]
2 (b) The area of a rectangular window is 6272 cm cm? If the length of the window is 98 cm, what is its width?
Answer:
The width would be 64 cm
Step-by-step explanation:
Because the equation to find area is length times height
Since you have the area and the length, divide the area by the length to find the width
I hope this helps!
Emily walked 5 2/6 miles in the morning and another 3 3/5 miles in the afternoon What was the total distance she walked?
Answer:
The correct answer would be 8 14/15 miles.
Step-by-step explanation:
You have to get the fractions 5 2/6 and 3 3/5 to a common denominator (30) getting you the fractions 10/30 and 18/30. 10/30+18/30 is 28/30 which can simplify to 14/15. 5+3 = 8 getting you the answer of 8 14/15
log7(49)=2 in exponential form
Answer:
49 = 7²
Step-by-step explanation:
A logarithm is an exponent. The base of the logarithm is the base of the exponent. The base to that exponent is the argument of the log function.
__
The logarithm (exponent) is 2. The base is 7. The argument of the log function is 49. In exponential form, this is written ...
7² = 49
Choose all statements that are true.
A 15% of 15 is 1.
B 5% of 50 is 10.
C 10% of 100 is 10.
D 2% of 100 is 5.
E 3% of 200 is 6.
Answer:
C, D, E
Step-by-step explanation:
15 * .15 = 2.25
50 * .05= 2.5
100 * .10= 10
100 * .05= 5
200 * .03= 6
10.A water tank has strps inside it. A monkeyis sitting on topmost floor(i.e.,the first step).The water level is at ninth step. (i) He jumps 3 steps down and then jumps back 2 strps up.In gow many jumps will he reach the water level? Ch-integers class-7
Answer:
7 steps.
Step-by-step explanation:
Since the monkey is sitting on the first step already you can subtract 9 by 1 to find the amount of steps left.
9-1 = 8 steps left
The monkey jumps 3 steps down
8-3= 5 steps
Then jumps 2 steps up
5 + 2 = 7 steps
The monkey has 7 more steps until he reaches the water level.
how to solve 3x+4y=36
y=-1/2x+8
Answer:
x = 4
y = 6
Step-by-step explanation:
3x + 4y = 36 ⇒ ( 1 )
y = - 1/2x + 8 ⇒ ( 2 )
( 2 ) × 2
2y = -x + 16 ⇒ ( 3 )
2y + x = 16
x = 16 - 2y ⇒ ( 4 )
Let us replace x with ( 16 - 2y ) and the value of y.
For that, let us use the equation (1).
3x + 4y = 36
3 ( 16 - 2y ) + 4y = 36
48 - 6y + 4y = 36
48 - 2y = 36
48 - 36 = 2y
12 = 2y
Divide both sides by 2.
6 = y
Now let us replace y with 6 and find the value of x.
For that let us use equation 4.
x = 16 - 2y
x = 16 - 2 × 6
x = 16 - 12
x = 4
1) Graph y = f(x) = 3(2)%. Adjust the equation to make the y-intercept (0, -3). Which response is not correct?
A) Replace 3 with -3.
B) Replace x with -x.
C) Add -6 to the right side.
D) Replace x with -x and subtract 6 from the right side.
Using the concept of y-intercept, it is found that the response that is not correct is given by:
B) Replace x with -x.
What is the y-intercept of a function?It is the value of the function when x = 0, hence it is the point (0, f(0)).
In this problem, the function is:
[tex]f(x) = 3(2)^x[/tex]
The y-intercept is given by:
[tex]f(0) = 3(2)^0 = 3[/tex]
If we just replace x with -x, we still have the same expression as above, hence the y-intercept does not change and option B is the answer to this question.
More can be learned about y-intercepts at https://brainly.com/question/24737967
The cost of 5 pounds of apples is $12.45. What will be the cost of 12 pounds of apples if the
cost varies directly with the number of pounds purchased.
Edit View Insert Format Tools Table
Answer: 29.88
Step-by-step explanation: if 5 pounds = $12.45,
then 12 pounds = x
Therefore, Cross-multiply
5 x = 12 (12.45)
5x=149.4
x=149.4/5
x=29.88
Answer:
Step-by-step explanation:
Equation
Cost = k*weight
Givens
weight = 5 pounds
Cost = 12.45
12 pounds
Find k
Cost = k*weight
cost = 12.45
weigh = 5 pounds Substitute these values into the equation
12.45 = k * 5 Divide by 5
12.45 /5 = k*5/5
2.49 = k
Solve for 12 pounds
k = 2.49weight = 12 poundsCost = 2.49 * 12
Cost = 29.88
Answer
Cost = 29.88
help me help me help me
Answer:
read step by step
Step-by-step explanation:
6 is +4.
19, 23, 27, 31
7 is all perfect square numbers
25, 36, 49, 64
8 is x2.
32, 64, 128, 256
9 is each number multiplied by the next. ex: 1x2=2, 2x3+6, 3x4=12
so the next few would be 30, 42, 56, 72
A right triangle has a hypotenuse with a length 12 and a leg with
length 5. How long is the triangle's other leg?
Answer:
13
Step-by-step explanation:
pythagorean theorum
a^2+b^2=c^2
12^2+5^2=c^2
144+25=c^2
c^2=169
c=13
The length of the triangle's other leg is approximately 10.908.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
We can use the Pythagorean theorem to solve for the length of the other leg of the right triangle.
The Pythagorean theorem states that for any right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides (the legs).
That is, for a right triangle with legs a and b and hypotenuse c:
c² = a² + b²
In this case,
We know that the hypotenuse has a length of 12 and one of the legs has a length of 5.
Let's denote the length of the other leg as "x".
So we can set up the equation:
12² = 5² + x²
Simplifying, we get:
144 = 25 + x^2
Subtracting 25 from both sides, we get:
119 = x²
Taking the square root of both sides, we get:
x ≈ 10.908
Therefore,
The length of the triangle's other leg is approximately 10.908.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ7
a. Use the appropriate formula to find the value of the annuity
b. Find the interest
Rate
Periodic Deposit
$6000 at the end of each year
15.5% compounded annually
Time
10 years
The value of the $6000 annuity given annual compounding is $124,836.12.
What is the value of the annuity?
The value of the annuity can be determining using this formula: amount deposited x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
n = number of years r = interest rate$6000 x [(1.155^10) - 1/0.155] = $124,836.12
To learn more about annuities, please check: https://brainly.com/question/24108530
How many centimetres are there in 1.6 metres?
3/2 times 6/2 times 2
Answer:
9
Step-by-step explanation:
3/2x6/2=18/2 Simply that and it turns to 9.
Answer:
9
Step-by-step explanation:
3*6*2 = 36
2*2 = 4
36/4 = 9
I multiplied the numerators together and the denominators together.
PLEASE RATE!! I hope this helps!!
Solve the system of linear equations. separate the x- and y- values with a coma. -5x+6y=33 -18x+4y=-22
How much pound sterling can be obtained while exchanging NRs250000 paying 2% commission?
(Buying rate: 1 pound=NRs 148.96) (Selling rate: 1 pound=NRs 149.74)
X/5= 7
X/2= 6.5
Find x
Answer:
1. Answer is 35
2. Answer is 13
Step-by-step explanation:
All you have to do is multiply 5 on both sides for number 1 and multiply by 2 on both sides for number 2.
un camion se encuentra del lado izquierdo del cero del sistema de referencia, es decir, desde una posicion negativa de -2 km, como el conductor va buscando pasaje se mueve muy lentamente a una velocidad de 10 km/h? escribe la ecuacion horaria.
Veremos que la ecuación que describe el movimiento del camión es:
f(t) = -2km + (10km/h)*t
¿Como encontrar la ecuación de movimiento del camión?Primero debemos recordar la relación:
distancia = velocidad*tiempo.
Entonces, podemos escribir la pocición del camión como:
f(t) = pocición inicial + velocidad*t
Donde t es el tiempo en horas.
Sabemos que:
posición inicial = -2kmvelocidad = 10km/hReemplazando eso obtenemos:
f(t) = -2km + (10km/h)*t
Esta es la ecuación de movimiento del camión.
Sí quieres aprender más sobre ecuaciones de movimiento, puedes leer:
https://brainly.com/question/19365526
Which point would be a solution to the system of linear inequalities shown below?
Answer: (-4, -6)
Step-by-step explanation:
Solving by graphing
[] See attached
() The only point in the required range is point (-4, -6)
Solving by plugging-in
I will figure out what the correct option is by plug them into the first equation. Since only one of these options is true, I do not need to do the second equation.
[✗] Let's check point (4, 10)
() 10 < (1/4)4 - 4
10 < 1 - 4
10 < -3 is false, so this answer is incorrect
[✗] Let's check point (-4, 5)
() 5 < (1/4)-4 - 4
5 < -1 -4
5 < -5 is false, so this answer is incorrect
[✗] Let's check point (-4, -4)
() -4 < (1/4)-4 - 4
-4 < -1 -4
-4 < -5 is false, so this answer is incorrect
[✓] Let's check point (-4, -6)
() -6 < (1/4)-4 - 4
-6 < -1 - 4
-6 < -5 is true, so this answer is correct
can i get the answer with work?
Answer:
Step-by-step explanation:
D
Answer: 15
Based on this info they have a probability of 0.6 of winning a game.So for 15 games they should win 0.6*15 = 9 gamesSo prediction for whole season = 6+9 = 15 games.
Step-by-step explanation:
