Answer:
The correct option is D. $14,674.37.
Step-by-step explanation:
This can be calculated using the ballon payment formula as follows:
P = (PV - (Ballon / (1 + r)^n)) * (r / (1 – (1 + r)^-n)) ...................... (1)
Where:
P = Monthly payment = $99
PV = present value of the loan or the purchase price of the 2010 model sedan = $16,000
Ballon = Ballon payment due at the end of 60 months = ?
r = monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005
n = number of periods or months = 60
Substituting the values into equation (1) and solve for Ballon, we have:
$99 = ($16,000 - (Ballon / (1 + 0.005)^60)) * (0.005 / (1 -(1 + 0.005)^-60))
$99 = ($16,000 - (Ballon / 1.3488501525493)) * 0.0193328015294284
$99 / 0.0193328015294284 = ($16,000 - (Ballon / 1.3488501525493))
$5,120.83051436193 = $16,000 - (Ballon / 1.3488501525493)
Ballon / 1.3488501525493 = $16,000 - $5,120.83051436193
Ballon / 1.3488501525493 = $10,879.1694856381
Ballon = $10,879.1694856381 * 1.3488501525493
Ballon = $14,674.3694203126
Rounding to 2 decimal places, we have:
Ballon = $14,674.37
Therefore, the correct option is D. $14,674.37.
Find the 6th term 9 18 36
Answer:
I think the answer is 288.
Step-by-step explanation:
The rule seems to be multiplying the past number by 2. So, 9*2=18 and 18*2=36. If we continued that rule we would then get 72, 144, and the sixth term is then 288.
hope this helps :D
Answer:
Step-by-step explanation:
This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as
[tex]a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288[/tex]
this is a quiz on special right triangles. please help me i cannot fail this. i will mark brainliest
Answer:
x=4
Step-by-step explanation:
Consider ΔKLJ:
sinθ=opposite/hypotenuse
sin30=LJ/8√2
LJ=0.5*8√2=4√2
Consider ΔMLJ:
sinθ=opp/hyp
sin45=x/4√2
1/√2=x/4√2
4√2/√2=x
x=4
A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 65 miles north of the transmitter to a second city 58 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
Answer:
29% of the drive
Step-by-step explanation:
The plot of the problem is:
Transmitter at origin (0,0)
City to the north at (0,70)
City to the east at (74,0)
The path from city to city is a line with slope:
m = (-70)/74 = -35/37
and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.
The transmitter reach the area enclosed by the next circle:
x^2 + y^2 = 53^2
See the picture attached
The intersection is gotten from the picture or solving:
x^2 + [(-35/37)*x + 70]^2 = 53^2
the points approximately are: (24.1, 47.2) and (45.8, 26.7)
From Pythagorean theorem the total distance of the trip is:
d1 = √(70^2 + 74^2) ≈ 101.9 miles
And the distance when the signal is picked up is:
d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles
You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.
>
Find the next three values in the sequence,
-64,-32,-16,-8...
Answer:
-4, -2, -1
Hope that helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
geometric sequence with common ratio = 1/2
a₅ = a₄(1/2) = -4
a₆ = a₅(1/2) = -2
a₇ = a₆(1/2) = -1
HELP ASAP! What is the slope of the line???
Answer: the slope is 1
Step-by-step explanation:
Slope is basically rise over run. Looking at the graph you see it rises one unit and then goes over to the left by one unit. 1÷1 equals 1 so That is your slope.
What is the solution to the equation?
Answer:
B
Step-by-step explanation:
98+g=150
98+g-98=150-98
g = 52
In 2008, there were 285 cell phone subscribers in the small town of Berrydale. The number of subscribers increased by 75% per year after 2008. How many cell phone subscribers were in Berrydale in 2017?
Answer:
Step-by-step explanation:
[tex]F=I(1.75^t)\\ \\ F=285(1.75)^{y-2008}\\ \\ F=285(1.75)^{2017-2008}\\ \\ F=285(1.75)^9\\ \\ F=43871.99\\ \\ F\approx 43872[/tex]
Find the value of X, Z, and Y in the graph below?
9514 1404 393
Answer:
(x, y, z) = (49, 58, 122)
Step-by-step explanation:
The same-side exterior angles have a sum of 180°.
(x +9) +(3x -25) = 180
4x -16 = 180
x -4 = 45
x = 49
Vertical angles are congruent:
y = 49 +9 = 58
z = 180 -y = 122 = 3(49) -25
The values of x, y, and z are ...
X = 49Z = 122Y = 58The number of paper clips per box in a truckload of boxes are normally distributed, with a mean of 100 and a standard deviation of 3.
a. The number of paper clips in 68% of the boxes is predicted to range from
b. The number of paper clips in 95% of the boxes is predicted to range from
to
to
Answer:
what's the answer somebody
Step-by-step explanation:
Which model represents the factors of x2+9x+8
Answer:
(x+1)(x+8)
Step-by-step explanation:
Those are the factors of x^2+9x+8
match each set of values to its correct median
Answer:
purple = 6
orange = 4
blue = 2
red = 5
green = 3
Step-by-step explanation:
hope this helped
Answer:
Step-by-step explanation:
hope this helps
what is the amount of pieces in each color
Answer:
brown = 12
yellow = 30
orange = 36
Step-by-step explanation:
let 'b' = # brown
let '18+b' = # yellow
let '3b' = #orange
add them together and set equal to 78
b + 18 + b + 3b = 78
5b + 18 = 78
5b = 60
b = 12
y = 12 + 18 = 30
o = 3(12) = 36
12 + 30 + 36 = 78
Lin's sister has a checking account. If the account balance ever falls below zero, the bank charges her a fee of $5.95 per day. Today, the balance in Lin's sister's account is -$2.67. In 14 days, Lin's sister will be paid $430 and will deposit it into her checking account. If there are no other transactions besides this deposit and the daily fee, will Lin continue to be charged $5.95 each day after this deposit is made? Explain or show your reasoning.
Answer: No, the bank will not keep charging her the $5.95 after the deposit is made.
Step-by-step explanation:
Today, Lin's sister's balance is -$2.67
She gets charged $5.95 per day.
There are 14 days until she can charge some money in the bank account, so the bank will charge $5.92 14 times
So her balance after 14 days will be:
Balance = -$2.67 - $5.95*14 = -$85.97
When she charges the $430 in the account, her balance will be:
Balance = -$85.97 + $430 = $344.03
So now she has a positive balance, which means that the bank does not charge her anymore.
Andrew has a Frisbee™ with a radius of 10 cm. What is the approximate circumference of the
Frisbee"?
A.15.7 cm, because C = 57
B.31.4 cm, because C = 107
C.314 cm, because C = 100 7
D.62.8 cm, because C = 207
Answer:
The answer is D. 62.8
Step-by-step explanation:
I used this formula.
Circumference = 2πr
Llam is setting up folding chairs for a meeting. If he arranges the chairs In 7 rows of the same length, he has 5 chairs left over. If he arranges the chairs in 5 rows of that same length, he has 23 left over. How many chalrs does Llam have?
Liam has total 40 chairs with him
what is distance between C(−5,−2) and D(0,−4)
Answer:
[tex]\displaystyle d = \sqrt{29}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point C(-5, -2)
Point D(0, -4)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(0+5)^2+(-4+2)^2}[/tex][√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(5)^2+(-2)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+4}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{29}[/tex]whats -11 + x =19
i just dont know what we do can someone help me?
1a. Tell whether the angles are adjacent or vertical. *
1 point
O Adjacent
O Vertical
1b. Find the value of x.
1 point
You answer
Answer:
it is adjacent and the answer to 1b is 146
2a+b=5 and 6y+4y=48 show that 20a+10b has a greater value than 3x+2y
Answer:
Step-by-step explanation:
There is an error in the question. 6x+4y = 48
Multiply first equation by 10:
20x+10y = 50
Divide second equation by 2:
3x+2y = 24
50>24, so 20x+10y > 3x+2y
The coordinates of the endpoints of MP are
M(-3,-2) and P (2,3).
Which measurement is closest to the length of MP in
units?
Answer:
I'm pretty sure it is A
how much space is shown in the circle below
Answer:
there is no circle! maybe you forgot to attach it?
Note:
Please mark as Brainliest! <3
How do I graph this?
Jaimie is practicing for the long jump. Each week she makes 10 jumps and after each jump she records the distance, in meters, she reaches with each jump. Her results for this week are represented in the table below. Jump 1 2 3 4 5 6 7 8 9 10 Distance (m) 5.1 5.3 5.4 5.2 5.5 5.4 5.2 5.3 5.5 3.5 Jaimie then reviews her results and determines the mean and standard deviation so that she can compare her results from this week to her results from the previous week. Jaimie felt the 10th jump was not reflective of her ability because she stumbled before making the jump and decided to remove the 10th jump from her data set. Determine whether each statement describes the change that will occur to the mean and standard deviation from this week's results when Jaimie removes the 10th jump from her data set. Select Yes or No for each statement. Yes No Removing the 10th jump from her data set will cause her average jump distance to increase. Removing the 10th jump from her data set will cause her average jump distance to decrease. The standard deviation will increase because the jump distances will be more spread out. The standard deviation will decrease because the jump distances will be more clustered together.
Answer:
mean=(5.1 +5.3+ 5.4 +5.2+ 5.5 +5.4+ 5.2 +5.3 +5.5+ 3.5)/10=51.4/10=5.14
3/10 divided by 10/3 ??
Answer:
0.09 is the answer i helped
AL
2
In a high school stadium there are 750 seats. There are twice as many seats in the home
section as there are in the visitor section. Which system of equations could be used to
determine the number of seats in the home section, h, and the number of seats in the
visitor section, v, in the stadium?
PLEASE HELP HURRY PLEASEEE
Answer:
There are 250 home section and 2(250) = 500 visitor section.
Step-by-step explanation:
Let there are h number of seats in the home section and v is the number of seats in the visitor section.
h+v = 750 ...(1)
There are twice as many seats in the home section as there are in the visitor section.
v = 2h ...(2)
From equations (1) and (2).
h+2h = 750
3h = 750
h = 250
Hence, there are 250 home section and 2(250) = 500 visitor section.
IREADY MATH LEVEL G
HELP ASAP DUE AT 11:59!!
EZ: Find the Equation Using Two Points
(0,200) & (120,0)
Answer:
[tex]y = \frac{-5}{3}x+200[/tex]
Step-by-step explanation:
Find the value of the slope.
Find the value of the y-int.
good luck, i hope this helps :)
"The product of a number and -7,
increased by 9, is at most 16."
help please i will give brainliest thanks so much please helppop
What is 4/5 as decimal
Answer:
0.8
Step-by-step explanation:
its 0.8 cause you divid 4/5
Is the product the same when multiplying 22 x (-5) and multiplying (-5) x 22? Explain
Answer: Yes it's the same due to communitive property of multiplication
Step-by-step explanation:
22 times -5 is -110
-5 times 22 is -110
Answer: Yes Bc Of Communitive Property
Step-by-step explanation: