Answer:
$100.00
Step-by-step explanation:
Compound interest is calculated by multiplying the initial loan amount, or principal, by the one plus the annual interest rate raised to the number of compound periods minus one. This will leave you with the total sum of the loan including compound interest.
The amount I have to pay back in full is approximately 100 dollars.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
The formula for compound interest compounded semi-annually is,
A = P(1 + (r/2)/100)²ⁿ. (two semi-annuals in one year)
Therefore, A = 95(1 + (5.2/2)/100)²ˣ¹.
A = 95(1 + 0.026)².
A = 95(1.026)².
A = 95×1.052676.
A = $100 approximately.
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solve the linear system by graphing.
x - 4y = 28
2x + y = 2
The ordinates of the linear system is mathematically given as
C=(4,-6)
Linear systemQuestion Parameters:
The equations
x - 4y = 28
2x + y = 2
Generally the equation for the linear system is mathematically given as
x - 4y = 28
2x + y = 2
Resolving the equations
x=4 and y=-6
Therefore
co ordinates are
C=(4,-6)
For more information on Graph
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The population of village was 5000. The male population decreased by 20% and female population increased by 30 % make in change in total population. Find the male and female population of the village in the beginning.
Answer:
Step-by-step explanation:
What is the product of 8.2 × 109 and 4.5 × 10-5 in scientific notation?
36.9 × 10-45
12.7 × 104
3.69 × 105
3.69 × 1014
Answer:
(8.2 x 10^9) x (4.5 x 10^-5) = (8.2 x 4.5) x 10 ^(9 - 5) = 36.9 x 10^4 = 3.69 x 10^5
Step-by-step explanation:
7)
The table shows the median home prices in the United States, from 2007 to 2009
Year
Median Home
Price ($)
234,300
2007
2008
213,200
2009
212,200
What is the domain and range for this data?
Answer:
The domain range for this data is
Answer:
22,100 for range
Step-by-step explanation:
To find range you subtract the lowest number from the highest number
−21 = −0.6k this is for my math homework pls help
Step-by-step explanation:
-21=0.6k
divide both side by0.6=
-21\0.6=35
Hi!
I can help you with joy!
The first step in solving this equation is dividing both sides by -0.6:
-21:(-0.6)=-0.6k:(-0.6k)
35=k
k=35 (Answer)
_______________
Additional comment
* Whatever we do to one side, we do to the other.
** A negative number divided by a negative number is a positive.
______________
Hope it helps! Enjoy your day!
Ask me if you have any questions.
~Misty~
the length of the pool is 5 meters more than it’s width. The area is 24 square root. What is the length of the pool?
What is the name of the platonic solid below
Answer:
the other person is wrong
Step-by-step explanation:
I looked it up and its HEXAHEDRON
Tetrahedron is a pyramid
What is the value of x in the proportion? 4/11 = -3/x+5
A. X = 13 1/4
B. X = -9 1/2
C. X = -7
D. X = -3 1/4
PLEASE ANSWER
Answer:
All the provided answers are incorrect
Step-by-step explanation:
Cross multiply and get
4(x + 5) = (-3)*11
4x + 20 = -33
4x = -33 - 20 = -53
x = -53/4 = -13 1/4
It’s -13 1/4
Step-by-step explanation:
help ill give the 5 star
Answer:
D of course:
Step-by-step explanation:
Think about it,
50.54 is 50 estimated to the roundest digit, and 20.10 is 20 estimated. So we'll just do 50-20 which is 30
I hope this answers your concern :) Mark me brainliest if you want to (:
Answer:
-30
Step-by-step explanation:
50.54 - 20.10 = 30.44
Solve by the elimination method. Check your work.
Answer:
1: x = 19 y = 16 ; 2. x = 5 y = -4
Step-by-step explanation:
To check your work plug the numbers back into one of the equations and see if it's true.
For example:
10(19)-9(16)=46
46=46
1. I distributed 3 to all the numbers so that 9y and -9y would cancel then you add like terms.
2. I distributed -4 to all the numbers so that 4x and -4x would cancel. Then add all like terms.
Once you get x or y plug it back into one problem to get the other variable.
Hope this helps!
#1
10x-9y=46--(1)-2x+3y=10--(2)(2)×3
[tex]\\ \tt\hookrightarrow -6x+9y=30[/tex]--(3)
Subtracting eq(1) from (3)
[tex]\\ \tt\hookrightarrow -16x=-16[/tex]
[tex]\\ \tt\hookrightarrow x=1[/tex]
Put in eq(2)
[tex]\\ \tt\hookrightarrow -2+3y=10[/tex]
[tex]\\ \tt\hookrightarrow y=4[/tex]
#2
4x+3y=8--(1)x-2y=13--(2)(2) ×4
[tex]\\ \tt\hookrightarrow 4x-8y=52--(3[/tex]
Subtracting eq(1) from (3)
[tex]\\ \tt\hookrightarrow -11y=44[/tex]
[tex]\\ \tt\hookrightarrow y=-4[/tex]
Put in eq(2)
[tex]\\ \tt\hookrightarrow x+8=13[/tex]
[tex]\\ \tt\hookrightarrow x=5[/tex]
Cara bought a 3 pound block of clay, and then made 4 equally sized statues with it. How many ounces is one of Cara’s statues? (1 lb = 16 oz)
Answer:
each of the four blocks weighs 12 ounces
Step-by-step explanation:
3 lbs = 3(16) or 48 ounces
48/4 = 12
each of the four blocks weighs 12 ounces
Question Progress
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Here is a list of numbers.
17 21 14 17 12 15 16
a) Work out the range of the numbers in the list.
b) Work out the mean of the numbers in the list.
b)
mean
a)
range
Answer:
A) 9. B) 16
Step-by-step explanation:
Range is
12, 14, 15, 16, 17, 17, 21
so 21-12= 9
add all them up 12+14+15+16+17+17+21 = 112/7 = 16
What is a fraction that is equivalent to 2/5 and the numerator is 18 less than the denominator
Answer:
Let the denominator be x
x-18/x=2/5
5(x-18)=2x
5x-90=2x
3x=90
x=30
The fraction is 12/30
Hope it helps you!
Step-by-step explanation:
Factorise x2 + 5x - 84
(x - 7)(x + 12)
Answer:
[tex] {x}^{2} + 5x - 84 \\ {x}^{2} + 12x - 7x - 84 \\ x(x + 12) - 7(x + 12) \\ (x - 7)(x + 12)[/tex]
help with either of these questions pleaseee at least one of them I’m so confused rn I’d really appreciate it and will brainlist you dw
Step-by-step explanation:
a) Fred → 35 years old
James → J years old
(3 × J) - 1 = 35
3J - 1 = 35
b) the number of people (n) Anita can invite depends on her age (A) and you add (+) 2.
therefore, n= A +2
2.a) n represents the no of phones he sells.
so if he charges $10 for a phone, then
n × 10 will represent the amount of money he makes for the no of phones he sells. you are given that P represents the amount of money he makes from selling a phone which is 10N and also his weekly salary, $ 250. this is the amount of money he receives for the whole week.
Hence, 10n + 250 = P
ans: P= 10n + 250
b) the next week he sells 20 phones. he charges $10 per phone. then he will make $200 from selling the phones. but he will also receive his weekly salary, which is $250. total money he receives equals $450.
a better way to reach the answer is using the above equation:
P = 10n + 250, where n= 20
P= (10*20) + 250
P= $450
hope you understand this now,
s.
Which value of x makes the equation x plus 3 equals 8 true?
Answer: x = 5
Step-by-step explanation:
Replace x with 5: 5+3=8
This is true!
HELPPPPPPPPPP pls answer questionnn <33
Answer: Option 2
The line starts at an x of -4, so the domain is from -4 to infinity since the arrow goes off the graph, meaning it keeps going. The line starts on a y of 2, and the line continues up with the arrow pointing slightly up, so the range is from 2 to infinity.
The domain is from left to right, and the range is down to up
Answer:
2. {x | x ≥ −4}; {y | y ≥ 2}
Step-by-step explanation:
Let's try to determine the domain first. Look at the x values. The function begins at -4, so our possible domain values also begin at -4, and the values continue positively after -4.
Therefore, our domain is: Domain: {x ≥ -4}.
Or, we could assign our domain using interval notation: [-4,infinity).
Our range, or y values, begin at 2 and continue positively after 2.
Therefore, our range is: Range: {y ≥ 2}.
Again, we could use interval notation to assign our range: [2,infinity)
Therefore, the answer would be
2. {x | x ≥ −4}; {y | y ≥ 2}
Look at the picture to help you better understand
If we multiply three consecutive integers and then add the middle number to the result, the answer is always the middle number cubed.
5 × 6 × 7 + 6 = 216 = 63
10 × 11 × 12 + 11 = 1331 = 113
15 × 16 × 17 + 16 = 4096 = 163
Use what you have learned in this lesson to write a third-degree polynomial expression in factored form and standard form that represents this pattern. Show that the factored form is equivalent to the expression written in standard form. Substitute three different values for the variable to prove this pattern works for other numbers.
Step-by-step explanation:
Let use have a interger,n
Thus three consectice intergers can be represented by
[tex]n[/tex]
[tex]n + 1[/tex]
[tex]n + 2[/tex]
Multiply, and we get
[tex]n(n + 1)(n + 2)[/tex]
[tex]n( {n}^{2} + 3n + 2)[/tex]
[tex]n {}^{3} + 3 {n}^{2} + 2n[/tex]
Then add the middle number, n+1.
[tex] {n}^{3} + 3n {}^{2} + 3n + 1[/tex]
We must prove that the middle number cubed = the equation.
Using the binomial theroem,
[tex](n + 1) {}^{3} = {n}^{3} + 3( {n}^{2} 1 {}^{1} ) + 3n( {1}^{2} ) + 1 {}^{3} [/tex]
[tex](n + 1 ){}^{3} = {n}^{3} + 3 {n}^{2} + 3n + 1[/tex]
So this is indeed true.
You can do the subsitue variables for n to prove it.
Line segment EF is graphed on the coordinate plane below?
What is the length of EF? Record your answer to the nearest tenth of a unit.
what are the domain and range of f(x)=2(x-8)-10
Answer:
Domain: All real numbers
Range: f(x) ≥ - 10
Step-by-step explanation:
I had the same test. Completed it and got it right.
Sorry for the lack of explanation, I can't put it into words at the moment.
What is the equation of a line with slope -3 through the point (3, 5)?
Answer:
y = -3x + 5
Step-by-step explanation:
The experimental probability of winning a game is 2/7. How many times can you expect to win the game if you play 56 times?
Question options:
7
56
16
8
Answer:
You would expect to win the game 16 times.
Step-by-step explanation:
I set up a proportion for this :
2/7 = x/56
2(56) = 7x (cross multiply)
112 = 7x (multiply 2 and 56)
x = 16 (divide 7 from both sides)
:)
Help me with this quick!!!
Answer:
Step-by-step explanation:
A: -1/3x+1
B: 1/4x -2
Answer:
Given Below.
question (a)
coordinates:
(0,1), (3,0)
slope:
[tex]\frac{0-1}{3-0}[/tex]
[tex]-\frac{1}{3}[/tex]
equation:
[tex]y - y1 = m(x - x1)[/tex]
[tex]y - 1 = -\frac{1}{3} (x-0)[/tex]
[tex]y = -\frac{1}{3}x+1[/tex]
question (b)
coordinates:
(0,-2) , (4, -1 )
slope:
[tex]\frac{-1--2}{4-0}[/tex]
[tex]\frac{1}{4}[/tex]
equation:
[tex]y - y1 = m(x - x1)[/tex]
[tex]y + 1 = \frac{1}{4} (x - 4)[/tex]
[tex]y=\frac{1}{4} x -1-1[/tex]
[tex]y=\frac{1}{4} x -2[/tex]
Describe where you might see a ratio of 2:1 at an animal sanctuary.
Answer:
there are 2 swans to 1 monkey
Step-by-step explanation:
i need help on this question
Answer:
The answer is B.
w + m > 224.
11w + 15m ≤ 2,876
Step-by-step explanation:
w + m > 224. There were more than (>) 224 who donated.
11w + 15m ≤ 2,876 No more than (≤) $2,876 was donated.
Hope that helps!
Write a simplified polynomial expression in standard form to represent the area of the rectangle below: A picture of a rectangle is shown with one side labeled as 5 x plus 2 and another side labeled as x minus 4. 5x2 18x − 2 5x2 13x 2 5x2 − 18x − 8 5x2 13x 8.
Answer:
d
Step-by-step explanation:
d
There is a $500 prize to share among them. Ms. Cardillo’s class brought in 3,107 pop can tabs. Ms. Camming’s class collectected 1,097 pop can tabs. Mr. Lucas’ class brought in 2,347 pop can tabs. How should they divide the money so that each class gets the same fraction of the prize money as the fraction of pop can tabs that they collected?
Given the functions f(x) = 6x 11 and g(x) = x2 6, which of the following functions represents f[g(x)] correctly? f[g(x)] = 36x2 132x 127 f[g(x)] = 36x2 132x 121 f[g(x)] = 6x2 47 f[g(x)] = 6x2 36.
Function defines relationship between variables. The value of the f[g(x)] when the value of f(x)=6x+11 and g(x)=x²+6 is f[g(x)]= 36x²+47.
What is a function?A function assigns the value of each element of one set to the other specific element of another set.
Given to us
f(x) = 6x + 11
g(x) = x² + 6
As we know the two functions, given to us f(x) = 6x + 11, therefore substitute the value of x as g(x) in order to find the value of f[g(x)] ,
[tex]f(x) = 6x + 11\\\\f[g(x)] = 6(x^2 + 6) + 11\\\\f[g(x)] = 6x^2 + 36 + 11\\\\f[g(x)] = 6x^2 + 47[/tex]
Hence, the value of the f[g(x)] when the value of f(x)=6x+11 and
g(x)=x²+6 is f[g(x)]= 36x²+47.
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Gabriel owns a small business selling used books. He knows that in the last week 89 customers paid cash, 20 customers used a debit card, and 30 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Answer:
.22 chance next customer pays with credit card
Step-by-step explanation:
This is because there was in all 139 customers during that week, and 30/ 139 0.21582733812. This rounded to hundredth would be .22
HELP!!!!! convert 4π/7 radians to degrees to the nearest tenth place.
Answer:
4π/7 radians is 102.86°
Step-by-step explanation:
changing radian to degrees: 1 radian → [tex]\frac{180}{\pi }[/tex]
changing radians to degrees:
[tex]\dfrac{4\pi }{7} *\frac{180}{\pi }[/tex]
[tex]\dfrac{4*180}{7}[/tex]
[tex]\dboxed{102.86}[/tex]
[tex]\\ \rm\longmapsto \dfrac{4\pi}{7}\times \dfrac{180)(\pi}[/tex]
[tex]\\ \rm\longmapsto \dfrac{180(4)}{7}[/tex]
[tex]\\ \rm\longmapsto 720/7[/tex]
[tex]\\ \rm\longmapsto 102.8°[/tex]