please helppppppppppp...... 17 points
Answer:
x = 24.5
Step-by-step explanation:
the angles form a straight line, and a straight line equals to 180°
=> (5x + 8) + (3x - 24) = 180
=> 8x = 196
=> x = 24.5
find the quotient 5 2/3 ÷ 3/5 leave answer as a mixed number in simplest form.
Answer:
[tex]9\frac{4}{9}[/tex]
Step-by-step explanation:
Exact from:
[tex]\frac{85}{9}[/tex]
Decimal Form:
9.4
Mixed Number Form:
[tex]9\frac{4}{9}[/tex]
Give me Brainllest
Suppose that $10,083 is invested at an interest rate of 6.8% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
Answer:
a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]
b)
The balance after 1 year is of $10,768.644
The balance after 2 years is of $11,500.91
The balance after 5 years is of $14,010.25.
The balance after 10 years is of $19,467.15
c)
The doubling time is of 10.54 years.
Step-by-step explanation:
Continuously compounded interest:
The amount of money earning after t years, with interest compounded continuously, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.
a) Find the exponential function that describes the amount in the account after time t, in years.
Suppose that $10,083 is invested at an interest rate of 6.8% per year
This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 10083(1+0.068)^t[/tex]
[tex]A(t) = 10083(1.068)^t[/tex]
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
After 1 year:
[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]
The balance after 1 year is of $10,768.644
After 2 years:
[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]
The balance after 2 years is of $11,500.91.
After 5 years:
[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]
The balance after 5 years is of $14,010.25.
After 10 years:
[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]
The balance after 10 years is of $19,467.15.
c) What is the doubling time?
This is t for which [tex]A(t) = 2A(0)[/tex]. So
[tex]A(t) = A(0)(1.068)^t[/tex]
[tex](1.068)^t = 2[/tex]
[tex]\log{(1.068)^t} = \log{2}[/tex]
[tex]t\log{1.068} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]
[tex]t = 10.54[/tex]
The doubling time is of 10.54 years.
Factorise the following expression:
[tex] {a}^{2} + 10a + 24[/tex]
Step-by-step explanation:
[tex]a^{2} + 10a + 24[/tex]
= [tex]a^{2}[/tex] + 6a + 4a + 24
= a(a + 6) + 4(a + 6)
= (a + 6)(a + 4)
Answer:
solution:
[tex] {a}^{2} + 10a + 24[/tex]
a²+6a+4a+24
a(a+6)+4(a+6)
(a+6)(a+4) is your answer
THIS IS DUE IN AN HOUR PLS HELP !
Answer:
27
Step-by-step explanation:
Answer:
22°
Step-by-step explanation:
<1 is a secant-secant angle (it lies outside the circle, created by two lines that cut through the circle). The measure of a secant-secant angle is half the difference of the measures of the intercepted arcs:
<1=(0.5)(98-54)
<1=(0.5)(44)
<1=22°
Plz help, I award brainliest!
Answer:
15 m E. B. C. D. that's why I will be there
What is the angle between any two windmills blades in the windmill
which expression is equivalent to 8^8x8^-5
Step-by-step explanation:
{(2)³}⁸×{(2)³}-⁵
2²⁴× 2-¹⁵
2²⁴-¹⁵. ( subtract 24 and 15)
2⁹= 512
So...
8×8×8= 512
hence
8³ Answer
Car A travels 18 miles every 20 minutes. Car B travels 13 miles every 12 minutes. Which statement best compares how far the two cars can travel in an hour?
Answer:
The answer is C) car b travels 11 more miles than car a in one hour
Step-by-step explanation:
Car A: 18/20(60)=54 mph
Car B: 13/12(60) = 65 mph
So car b travels 11 more miles than car a in one hour
QUESTION 1
1.1
The sequence 1 ; 5 ; 11 ; 19 ; .......is a quadratic sequence.
1.1.1 Determine an expression for the nth term of the sequence.
(4)
(4)
1.1.2 Which term of the sequence is 2 549?
1.2
The following sequence of numbers is given: -2;-3; -6;-11;
(4)
1.2.1 Determine an expression for the nth term of the sequence.
1.2.2 Explain why the sequence of numbers will never contain a positive term.
(1)
[13]
GESTION 2
The nth terms of sequence 1 ; 5 ; 11 ; 19 is n² + n + -1 and the nth terms of sequence -2;-3; -6;-11; is -n² + 2n -3 .
What is quadratic sequence?The differences (referred to as first differences) between every two successive terms are the same, then it is called an arithmetic sequence (which is also known as a linear sequence). But if the first differences are NOT same, and instead, the second differences are the same, then the sequence is known as a quadratic sequence.
According to the question
The sequence 1 , 5 , 11 , 19
First difference : 4 6 8
Second difference: 2 2
1.1.1>
Now, expression for the nth term of the sequence.
Quadratic equation
ax² + bx + c
at n= 1
a + b + c = 1 -----------------(1)
At n = 2
4a + 2b + c = 5 ------------------(2)
At n = 3
9a + 3b + c = 11 -------------------(3)
solving equation
Subtracting equation (3) from (2)
9a + 3b + c = 11
-4a - 2b - c = -5
5a + b = 6 ----------------------(4)
Subtracting equation (2) from (1)
4a + 2b + c = 5
-a - b - c = -1
3a + b = 4 ---------------------------- (5)
Subtracting equation (5) from (4)
5a + b = 6
-3a - b = -4
2a = 2
a = 1
Putting value in equation (5)
3a + b = 4
3*1 + b = 4
b = 1
Substituting the value in equation (1)
a + b + c = 1
1 + 1 + c = 1
c = -1
Substituting the value in the quadratic equation
x² + x + -1
For nth term
n² + n + -1
1.1.2>
Term of the sequence is 2549
Now,
using the nth term
n² + n + -1 = 2549
n (n+1) = 2550
n (n+1) = 50 * 51
n = 50
1.2> sequence of numbers is given: -2 ,-3 ,-6 ,-11
First difference = -1 -3 -5
Second difference = -2 -2
1.2.1 >
Now , expression for the nth term of the sequence.
Quadratic equation
ax² + bx + c
at n= 1
a + b + c = -2 -----------------(1)
At n = 2
4a + 2b + c = -3 ------------------(2)
At n = 3
9a + 3b + c = -6 -------------------(3)
solving equations
Subtracting equation (3) and (2)
9a + 3b + c = -6
-4a - 2b - c = 3
5a +b = -3 ----------------(4)
Subtracting equation (2) and (1)
4a + 2b + c = -3
-a - b - c = 2
3a + b = -1 -------------------(5)
Now,
Subtracting equation (5) and (4)
5a +b = -3
-3a - b = 1
2a = -2
a = -1
Putting value of a in equation (5)
3*-1 + b = -1
b = 2
Substituting values in equation (1)
-1 + 2 + c = -2
c = -3
nth term
-n² + 2n -3
1.2.2>the sequence of numbers will never contain a positive term.
because its first term is -ve and difference between consecutive term is always -ve. or as per nth term n² is a -ve term .
Hence, the nth terms of sequence 1 ; 5 ; 11 ; 19 is n² + n + -1 and the nth terms of sequence -2;-3; -6;-11; is -n² + 2n -3 .
To know more about Quadratic equation here:
https://brainly.com/question/2263981
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I NEED HELP!!!!
SELECT ALL THAT APPLY
WHICH SHAPE(S) COULD THE FOLLOWING FORMULA BE USED FOR?
A=1/2bh
A. Trapezoid
B. Triangle
C. Rectangle
D. Square
E. Cube
Answer:
B
Step-by-step explanation:
Cand D: A= bh
A: A = (a+b)/2h
E: A= 6a^2
Find the MEDIAN
48 28 43 87 15 65 73 82 7 33 90
Answer:
48
Step-by-step explanation:
Find the sum: (7b
-4) + (-2b+1).
Answer:
=5b-3
Step-by-step explanation:
(7b -4) + (-2b+1).
Remove parenthesis;
7b-4+-2b+1
Group like terms;
=7b-2b-4+1
Add similar element
7b-2b=5b
=5b-4+1
Add/subtract the numbers
=5b-3
Answered by the ONE & Only #QUEEN herself aka #DRIPPQUEENMO
HOPE THIS HELPED!!!
Mackenzie thought that the basketball
team would win 16 games, but they
only won 12. What was his percent
error?
His percent error is 25% because 12 is 75% of 16. 100 - 75 = 25
Answer:
75% correct and 25%error
Step-by-step explanation:
As 12÷16×100=75%
The error =100-75=25%
WILL GIVE BRAINLEST!!!
Answer:
18 12
6 22
Step-by-step explanation:
if u understand my handwriting lol
Roseanne drew a circle with a radius of 20.2 cm. What was the approximate circumference of the circle if you use 3.14 for ?
A. 63.428 cm
B. 126.856 cm
C. 126.956 cm
D. 253.712 cm
I need help quickly. Please help.
Answer:
Mean:
= (4 + 6 + 9 + 11 + 8 + 13 + 12) / 7
= 63 / 7
= 9 (The sum of the numbers divided by the number of numbers)
Median:
= 4, 6, 8, 9, 11, 12, 13
= 9 (The middle number of a list from least to greatest)
Mode:
= NONE (The number that appears the most in a given list)
Daniel buys a DVD at an electronics store. The DVD costs $24.35. Daniel hands the cashier two $20 bills. How much change did Daniel get?
Answer:
$15.65
Step-by-step explanation:
$20 + $20 = $40
$40 - $24.35 = $15.65
2) Determine whether 5 would be a solution to the inequality w+ 11 < 22.* 1 po Yes, it is a solution. No, it is not a solution.
Answer:
An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
Answer:
Yes, w=5 is a solution for this inequality.
Step-by-step explanation:
w+11<22
If w=5, this is:
5+11<22
16<22, which is true. So w=5 works as a solution
Find the value of x. Round to the nearest tenth
Can someone please help with this problem ASAP!!!
Answer:
Step-by-step explanation:
(1,5 ) indicates that for every 1 book they make 5 dollars so the point means that for every book they sell they make 5 dollars.
solve For X if 9( x²_1 )= 27 x 2187
Answer:
use photomath it'll slove it for you
Step-by-step explanation:
PLS HELP: DETERMINE WHETHER THE PAIR OF RATIOS FORMS A PROPORTION
Answer:
No
Step-by-step explanation:
To form a proporion, both would need to be a multiple of the same thing, whcih they aren't
Can Someone Help Me. ? Please
Answer:
the first answer maybe?
Step-by-step explanation:
Write two integers whose sum is 6 and difference is also 6.
Answer:
6,0
Step-by-step explanation:
Please help due in 2 and a half Min!
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Write an explicit formula for an, the nth term of the sequence 19, 25, 31, .....
On the Federal Job site it states that at a 90% confidence level that the true population mean salary of High School Mathematics teachers in Bergen County New Jersey is between $52,000 and $108,000 per year. 9) I am offered a job as a High School Mathematics teacher in Dale county Florida. The salary they offer is $48,000 a year. Can I make any conclusions based on the confidence interval
Answer:
Option c (I cannot........Florida) is the appropriate response.
Step-by-step explanation:
The given statement of query seems to be incomplete. Please find the attachment of the complete problem below.
Throughout New Jersey, the Federative Recruitment agency informs you of the average wage of mathematics in high schools.Unless you're in Florida and therefore don't know concerning Dale County Florida wages, this same work you've been given is well beyond the area whereby you know the compensation of teachers or instructors, you can't make any view.The other three given alternatives aren't related to the question. Thus option c is the correct one.
help please i need it asap! thank tou
Answer:
X = 3
Step-by-step explanation:
x= 6 x 1/2
The area of a pasture is 4200 m and the perimeter is 260 m. What are the length and width of the pasture?
Answer:
70 m and 60 m
Step-by-step explanation:
The formula for the area of a rectangle is length ⋅ width.
The area of the pasture of 4200 meters.
70 ⋅ 60 = 4200.
The formula for the perimeter of a rectangle is side + side + side + side.
The perimeter of the rectangle is 260 meters.
70 + 60 + 70 + 60 = 260.
Therefore, the length and width of this pasture are 70 meters and 60 meters.