The quarterly payment on a 4-year loan of $16,231 at 5. 1% compounded quarterly is $1508.31.
Principle P= $16,231
Rate of interest r= 5.1% compounded quarterly
Tenure n= 4 year =16 quarters
What is the formula for quarterly payment?The formula for quarterly payment is given as:
Quarterly payment = [tex]\frac{P*r/100(1+r/100)^n}{(1+r/100)^n-1}[/tex]
Where P=principle
r =quarterly rate of interest
n=tenure
Quarterly payment =[tex]\frac{16231*(5.1/100)(1+5.1/100)^16}{(1+5.1/100)^16-1}[/tex]
Quarterly payment =$1508.31
Therefore, the quarterly payment on a 4-year loan of $16,231 at 5. 1% compounded quarterly is $1508.31.
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calculate the perimeter of a rectangle that is 5.5 c by 3.5 cm?
P = 2 x (5,5 + 3,5) = 18 cm
P = is the circumference of the figure
Answer:
the answer should be 18 cm
you can either do 2 × (length + width)
2 × (5.5 + 3.5)
2 × 9 = 18
or
5.5 + 5.5 = 11
3.5 + 3.5 = 7
11 + 7 = 18
either way it's 18, I hope this helps
6:4 is equivalent to ___:24.
What number do you think should go on the blank?
Answer:
36:24
Step-by-step explanation:
The second number was :24, and you started out with 6:4.
To get the 24, you would have to multiply the 4 by 6 to get the 24.
So, multiply the first number 6, as well by 6.
6 x 6 = 36
36:24
:)
Answer: 36
Step-by-step explanation: 6:4 = __:24
1. 4 goes into 24, 6 times because 4x6=24 so you have to multiply 6 to 6 and 6x6=36.
what number is equivalent to the expanded form shown below (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)
(2×100)+(3×1)+(4×1/10)+(3×1/1000)
200+3+0.4+0.003
203.401
Please give me brainliest
The equivalent number is, 203.403.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expanded form of an number is,
⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)
Now, We can write the number as;
⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + (3 x 1/1,000)
⇒ 200 + 3 + 0.4 + 0.003
⇒ 203.403
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Divide and simplify if possible sqrt 250x^16/sqrt 2x.
Answer:
125x^15
Step-by-step explanation:
Hope this helps! :)
The base of the sailboat is 9ft and the height is 15 what is the area??
Please help this is using the digits 0 to 9
Answer:
1% of 100 = 1
Step-by-step explanation:
simple and easy :D hope this helps
Three playing cards in a row. Can you name them with these clues? There is a two to the right of a king. A diamond will be found to the left of a spade. An ace is to the left of a heart. A heart is to the left of a spade. Now, identify all three cards.
Answer:
Ace of Diamonds, King of Hearts, Two of Spades ( hope this helps)
How many cents are in n nickels and c cents?
Using proportions, it is found that there are c + 0.25n cents in n nickels and c cents.
What is a proportion?A proportion is a fraction of a total amount. To solve problems involving proportions, such as this one, multiplications of the amounts and their values are made.
In this problem, we consider that each nickel has 0.25 cents, hence, there are c + 0.25n cents in n nickels and c cents.
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c+0.25n cents is the answer.
Which one should I choose
Answer:
b) Quad ABCD must be a rectangle and could be a rhombus
Step-by-step explanation:
:)
Assume that f(x) = 2x^2 + 4. The function f(x) + k, where k is a constant, is represented by the graph below. what effect did adding k have on the graph of f(x)‽
The effect of adding k on the graph of f(x) will shift the curve upward by k units on the xy-plane.
Shifting of quadratic graph is the vertical directionGiven the parent function of the given graph expressed as f(x) = 2x^2 + 4.
If this function is represented as f(x)+k, the addition of the constant "k" shows hat the function f(x) has been shifted vertically upwards by a factors of 'k'
Hence the effect of adding k on the graph of f(x) will shift the curve upward by k units on the xy-plane.
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WILL GIVE BRAINLIST IF SHOWS MUST BE CORRECT
The number of goals scored by players on a soccer team is represented by the box plot below.
The measure of variability that best describes how the values in this data set vary is
A. Median
B. mean absolute deviation
C. interquartile range
D. mean
E. mode
because
A. there is an odd number of values in the data set
B. there is an outlier in the data set
C. the data distribution is symmetric
.
The measure of variability that describes the values in the box plot is: C. interquartile range, because: C. the data distribution is symmetric.
What is a Symmetric Data Distribution in a Box Plot?A symmetric data distribution is depicted on a box plot when the median is in the middle of the rectangular box, and the whiskers are of almost the same length at both sides of the box. Such data distribution is said to be normally distributed.
A normally distributed data distribution is symmetric.
Interquartile range is a measure of variability in a box plot, which is the range of the rectangular box.
Therefore, the measure of variability that describes the values in the box plot is: C. interquartile range, because: C. the data distribution is symmetric.
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solve the system of equations 2y - 3x = -27 5y + 3x = 6 PLEASE EXPLAIN STEPS!
(photo included)
Answer:
x=7 y= -3
Step-by-step explanation:
When you ADD both the x variable is cancelled
since -3x + 3x = zero
then you solve for y And when you plug the value of y you will solve x
2y-3x =-27
5y+3x =6
ADD BOTH
7y = -21
y = -3
PLUG y
5(-3)+3x = 6
-15 + 3x = 6
3x = 21
x=7
Please I need help
Will give brainlest answer !!!!!!
Answer:
See below ↓
Step-by-step explanation:
We need to check the different time intervals to find the max. height
t = 0 or 1 [both give same result]f(1) = -16(1) + 16(1) + 12 = 12 feet2. t = 2
f(2) = -16(2)² + 16(2) + 12 = -20 feet⇒ Clearly as she is diving, her maximum height will be her initial height which is 12 feet
⇒ To achieve this, it takes her 0 seconds [initial height = no time needed]
Taking f(x) = 0 [surface of water → just touching/hit the water]
0 = -16x² + 16x + 124x² - 4x - 3 = 04x² - 6x + 2x - 3 = 02x(2x - 3) + 1(2x - 3) = 0(2x + 1)(2x - 3) = 0x is positivex = 3/2 = 1.5 seconds⇒ After 1 second, she is 12 feet above the water
⇒ The diving board is 12 feet above the water
Solve for x. Leave your answer in the simplest form.
Image down below!
Please help! Brainlist and points
Apply Pythagorean theorem
H²=9²+5²H²=81+25H²=106So
x²=106+4²x²=106+16x²=122x=√122x=11.04≈11Answer:
√(122)
Step-by-step explanation:
Pythagoras Theorem: a² + b² = c²
(where a and be are the legs, and c is the hypotenuse, of a right triangle)
First, find the length of the hypotenuse of the triangle with legs of 9 and 5 units:
⇒ 5² + 9² = c²
⇒ 25 + 81 = c²
⇒ c² = 106
⇒ c = √(106)
Therefore √(106) is the longest leg of the other triangle.
So we can now use this measurement to find x (the hypotenuse) of the other triangle:
⇒ 4² + √(106)² = c²
⇒ 16+ 106 = c²
⇒ c² = 122
⇒ c = √(122)
what is the perimeter ?
Step-by-step explanation:
the outer left side is also 50 ft.
in inner (upper) left side is also 13 ft.
the bottom line is 10+20+11 = 41 ft
this is all possible because all the angles are clearly right angles (90°).
so, the perimeter is
2×(10+20+11) + 2×50 + 2×13 = 82 + 100 + 26 = 208 ft
: the mass of an average classroom meter stick is roughly 0. 2 kg.
the mass of the moon is approximately 7*1022 kg.
question 1: how many meter sticks does it take to equal the mass of the moon? explain or show your reasoning
Using proportions, it is found that it takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, one meter stick has a mass of 0.2 kg. How many meter sticks are needed for a mass of [tex]7 \times 10^{22} \text{kg}[/tex]? The rule of three is given by:
One meter stick - 0.2 kg
x meter sticks - [tex]7 \times 10^{22} \text{kg}[/tex]
Applying cross multiplication:
[tex]0.2x = 7 \times 10^{22}[/tex]
[tex]x = \frac{7 \times 10^{22}}{0.2}[/tex]
[tex]x = 35 \times 10^{22}[/tex]
[tex]x = 3.5 \times 10^{23}[/tex]
It takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.
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help me with this please
Answer:
B and C
Step-by-step explanation:
Answer:
-15/-3,-5/-1
Step-by-step explanation:
please mark me as brainlest
Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 2.5 in, x = 5 in, y = 5 in, z = 3 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth
Rewrite each expression below using the Distributive Property :
a. 5 (2x + 1)
b. 34 (x - 1)
c. 9 (x + 3)
Please help i am confused
Answer:
18 +2
Step-by-step explanation:
it's like 3x you just add each side 3 then you will get the answer. and the (+2) stays the same.
Four Friends pay £12 each to hire a hole for a band practice how much Wood 12 friends pay each to hire the same hall
Answer:
4 dollars per friend
Step-by-step explanation:
So, if 4 friends are paying 12 dollars, to find the total, we do 4 * 12 = 48
48 is how much the 4 friends paid
If 12 friends pay to hire the same group, (resemble for the same price of 48 dollars), is we do, 48 dollars ÷ 12 friends = 4 dollars per friend
I NEED HELP ASAP!!!!!!!!!!!!!!!
Answer:
The one on the very top left corner is the right one.
Step-by-step explanation:
It shows the exact data that you were looking for: ten small apples were green and 3 out of the 12 large apples were red.
R Given:07F = FRY: RFY: LFY
Prove: AFRY:ΔFLY
STATEMENT REASON
YLF =FRY. 23.
RFY=LFY. GIVEN
FY=FY(underlined) 24.
ΔFRY=ΔFLY. 25.
S1: ∠YLF ≅ ∠FRY (Given)
S2: ∠RFY ≅ ∠LFY (Given)
S3: FY ≅ FY (Transitive property)
S4: ΔFRY ≅ ΔFLY (AAS theorem)
What is the AAS Congruence Theorem?The AAS congruence theorem states that if two triangles have two pairs of corresponding congruent angles, and a pair of corresponding non-included side that are congruent, then both triangles area congruent.
To prove that ΔFRY ≅ ΔFLY, the proof that shows they are congruent by the AAS congruence theorem is:
S1: ∠YLF ≅ ∠FRY (Given)
S2: ∠RFY ≅ ∠LFY (Given)
S3: FY ≅ FY (Transitive property)
S4: ΔFRY ≅ ΔFLY (AAS theorem)
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Pls help me: A couple plans to have 4 children. The gender of each child is equally likely. Design a simulation involving 90 trials that you can use to model the genders of the children, you do not need to generate the numbers or find the probability, just explain how your simulation would work. You should include information like how many digits long each number is, which digits represent a boy child and which digits represent a girl. also show the step by step of how to ans this.
The simulation of the gender of a child by the couple is an illustration of probability.
How to design a simulation?The number of trials (n) is given as:
n = 90
The chance of getting each gender is equal.
So, we have:
P(Boy) = 0.5
P(Girl) = 0.5
The simulation would be based on numbers 0 to 9. Such that:
The numbers 0 to 4 represent a boy childThe numbers 5 to 9 represent a girl childNotice that each gender have the same amount of digits i.e. 5
This is so because they both have equal chance
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who ever can help ill give brainlist
Answer:
?=2
Step-by-step explanation:
1. Solve
?/10+8/100=28/100
?/10+8/100-8/100=28/100-8/100
?/10=20/100
2. Simplify
20/100=2/10
so, ?/10=2/10
3. Check
2/10+8/100=28/100
20/100+8/100=28/100
28/100=28/100
Correct !
4. Answer
what percent of 32 is 5.6
Answer:
17.5 %
Step-by-step explanation:
5.6 is 17.5 percent of 32
Sharon is preparing for a trip to kuwait. she calculates that she will need $1,166 to be converted to kuwaiti dinar. if the exchange rate of us dollars to kuwaiti dinar is 1:0.2879, how many dinar does sharon have? round your answer to two decimal places. a. 335.69 dinar b. 405.00 dinar c. 3,356.91 dinar d. 4,050.02 dinar
Answer:
335.69
Step-by-step explanation:
If the exchange rate of USD to Kuwaiti Dinar is 0.2879, multiply the amount of USD by the exchange rate to get the answer.
$1,166 x 0.2879 = 335.6914
335.6914 rounded to the nearest hundredth (two decimal places) is 335.69
So, it is A, 335.69 dinar.
335.69 dinar Sharon will get in exchange for $1,166 option (a) 335.69 is correct.
What is the ratio?It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign : between the numbers.
We have a total amount that will need to convert = $1,166
Exchange rate of us dollars to kuwaiti dinar = 1 : 0.2879
It means $1 converted into 0.2879 dinar
The amount $1,166 in kuwaiti dinar = 1166×0.2879
= 335.69 dinar
Thus, 335.69 dinar Sharon will get in exchange for $1,166 option (a) 335.69 is correct.
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Plssss help me with this!!!! It’s really hard
Answer:
2x < 10 would show that even 'if' x would make 2 larger, it still wouldn't match up to 10. But in this case, 2 would turn into 10. 10 = 10.
polar & rectangular equations
Answer:
13. [tex]x^2+y^2+2x-3\sqrt{x^2+y^2}=0[/tex]
14. [tex]r=3\cos(\theta)-2\sin(\theta)[/tex]
Step-by-step explanation:
Question 13
Conversion from Polar equation to rectangular equation:
[tex]x=r \cos(\theta) \implies \cos(\theta)=\dfrac{x}{r}[/tex]
[tex]y=r \sin(\theta) \implies \sin(\theta)=\dfrac{y}{r}[/tex]
[tex]x^2+y^2=r^2 \implies r=\sqrt{x^2+y^2}[/tex]
Given:
[tex]r=3-2\cos(\theta)[/tex]
[tex]\textsf{Substitute }\cos(\theta)=\dfrac{x}{r}:[/tex]
[tex]\implies r=3-\dfrac{2x}{r}[/tex]
Multiply both sides by r:
[tex]\implies r^2=3r-2x[/tex]
[tex]\implies r^2+2x-3r=0[/tex]
[tex]\textsf{Substitute }x^2+y^2=r^2\:\textsf{and }r=\sqrt{x^2+y^2}:[/tex]
[tex]\implies x^2+y^2+2x-3\sqrt{x^2+y^2}=0[/tex]
---------------------------------------------------------------------------------------------
Question 14
Conversion from Rectangular equation to polar equation:
[tex]x=r \cos(\theta)[/tex]
[tex]y=r \sin(\theta)[/tex]
[tex]x^2+y^2=r^2 \implies r^2\cos^2(\theta)+r^2\sin^2(\theta)=r^2[/tex]
Given:
[tex]x^2+y^2-3x+2y=0[/tex]
[tex]\textsf{Substitute }x^2+y^2=r^2\:\textsf{and }x=r \cos(\theta)\:\textsf{and }y=r \sin(\theta):[/tex]
[tex]\implies r^2-3r\cos(\theta)+2r\sin(\theta)=0[/tex]
Factor out common term r:
[tex]\implies r(r-3\cos(\theta)+2\sin(\theta))=0[/tex]
Divide both sides by r:
[tex]\implies r-3\cos(\theta)+2\sin(\theta)=0[/tex]
Rewrite to make r the subject:
[tex]\implies r=3\cos(\theta)-2\sin(\theta)[/tex]The area of a circular fountain is 121pi square feet. What is the diameter of the fountain?
Answer:
22 feet
Step-by-step explanation:
Area of circle = pi(r²)
the square root of 121 is 11, so r = 11
d = 2r
d = 22