Answer:
289
Step-by-step explanation:
1. if to re-write the given equation, then 13y²-9y-4=0;
2. if to calculate the required discriminant, then:
D=81+13*4*4=208+81=289.
Answer:
289
Step-by-step explanation:
[tex]13y^2-9y-4 = 0\\[/tex]
D = [tex]b^2-4ac[/tex]
Wherein,
b = 9
a = 13
c = -4
[tex]D = 9^2-(4*13*-4)\\= 289[/tex]
Suppose someone takes out a home improvement loan for $30000. The annual interest on the loan is 6% and is compounded monthly. The monthly payment is $600. Let a denote the amount owed at the end of the nth month. The payments start in the first month and are due the last day of every month - this means in a given month interest is added first, and then the payment is applied to the resulting loan Balance.
a. Give a recursive definition for a,. including the recurrence relation and the base case.
b. Suppose that the borrower would like a lower monthly payment. How large does the monthly payment need to be to ensure that the amount owed decreases every month?
Answer:
a) Initial (Base) a[tex]_0[/tex] = 30000
b) the monthly payment needs to $150
Step-by-step explanation:
Given the data in the question;
a. Give a recursive definition for a,. including the recurrence relation and the base case.
the annual interest on the loan is 6% compounded monthly;
⇒ i = 6% / 12
i = 0.5%
so, the recurrence relation is a[tex]_n[/tex] = a[tex]_{n-1}[/tex]( 1 + i/100) - 600
Here Initial (Base) a[tex]_0[/tex] = 30000
b) Suppose that the borrower would like a lower monthly payment. How large does the monthly payment need to be to ensure that the amount owed decreases every month
Let p be the required monthly payment,
then the condition will be; a[tex]_n[/tex] ≤ a[tex]_{n-1}[/tex]
a[tex]_{n-1}[/tex]( 1 + i/100) - p ≤ a[tex]_{n-1}[/tex]
a[tex]_{n-1}[/tex]( 1 + i/100) - a[tex]_{n-1}[/tex] ≤ p
a[tex]_{n-1}[/tex]( 1 + i/100 - 1) ≤ p
a[tex]_{n-1}[/tex]( i/100 ) ≤ p
a[tex]_{n-1}[/tex] ≤ p ( 100/i )
a[tex]_{1-1}[/tex] ≤ p ( 100/0.5 )
a[tex]_0[/tex] ≤ p (200)
we know that; a[tex]_0[/tex] = 30000
so
30000 ≤ p (200)
p ≤ 30000 / 200
p ≤ 150
Therefore, the monthly payment needs to $150
Simplify the complex fraction. 2/3m-1/2m 3m/3+4/5m
Answer:
131m/210 I THINKKKKK
Step-by-step explanation:
RNDJDJDJSJD
Solve for x. Round to the nearest tenth. 2.
39°
27
Answer:
33.3
Step-by-step explanation:
Reference angle = 39°
Opposite = 27
Adjacent = x
Apply TOA. Thus:
Tan 39 = Opp/Adj
Tan 39 = 27/x
x * Tan 39 = 27
x = 27/Tan 39
x = 33.3422232 ≈ 33.3 (nearest tenth)
Which is an odd monomial function?
y=2x^3
Y= 1/x
Y = 5x^-9
O y= 3
Answer:
) -x*+5x=5. & x*-} x + 2x + x +4. 22 / 3 x ² - 1 / 8x + 5 x² { x + 5. --** - *-3.
Answer: y= 2x^3
Step-by-step explanation:
PLSS I need help please
Answer:
The Last One
Step-by-step explanation:
Hope This Helps ; )
Answer:
2/6
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppp
Answer:
Area of a rectangle = l × w
= 1.4 × 2.1
= 2.94 meters ^2
hope it helps. sorry if its wrong. this is my own knowledge
Solve for x. Round your answer to the nearest tenth
[tex] {x}^{2} = {24}^{2} - {23}^{2} \\ \\ {x}^{2} = 576 - 529 \\ \\ {x}^{2} = 47 \\ \\ x = \sqrt{47} [/tex]
Number 3 answered please
Answer:
Step-by-step explanation:
n=3p, d=p-2
10d+5n+p=110 using n and d from above makes this become
10(p-2)+5(3p)+p=110
10p-20+15p+p=110
26p-20=110
26p=130
p=5
n=3p=3(5)=15
d=p-2=5-2=3
So she has 3 dimes, 15 nickels, and 5 pennies.
The area of a rectangle is 125 ft. The ratio of the width to the length is 1:5. Find the length and width.
Answer:
Length of the rectangle = 25 ft
Width of the rectangle = 5 ft
Step-by-step explanation:
Ratio of the width to the length is 1:5
So, let
Width = x
and length = 5x
Area of the rectangle = 125
[tex]x \times 5x = 125 \\ \\ 5 {x}^{2} = 125 \\ \\ {x}^{2} = \frac{125}{5} \\ \\ {x}^{2} = 25 \\ \\ x = \sqrt{25} \\ \\ x = 5 \: ft \\ \\ 5x = 5 \times 5 = 25 \: ft[/tex]
Length of the rectangle = 25 ft
Width of the rectangle = 5 ft
The length and the width of the rectangle are 25 ft and 5 ft respectively.
How to find the area of a rectangle?The area of a rectangle can be found by using the following formula:
Area = length * width
Let the constant be x, therefore the length is 5x and the width is x.
Area = length * width
125 = 5x*x
⇒125 = 5x²
⇒x² = 25
⇒x = √25
⇒x = 5
We can substitute the value of x to find the length and the width:
Length = 5x = 5*5 = 25 ft
Width = x = 5 ft
Thus, we have found the length and width of the rectangle to be 25 ft and 5 ft.
Learn more about the area of rectangles here: https://brainly.com/question/25292087
#SPJ2
2. It takes the 1st hose 3.25 hours to fill the empty tank
by itself while both hoses can fill it in 1.25 hours. How
long will it take the 2nd hose to fill the empty tank by
itself?
Answer::
Step-by-step explanation:
Help, please. The question is down below. I give brainliest. Please anyone help.
Answer:
25%
hope this helps
What is the perimeter of the triangle?
Step-by-step explanation:
perimeter of triangle = sum of all sides
In the balcony of an auditorium, there are 20 seats in the first row, 22 seats in the second row and 24 seats in the third row. Assuming this pattern continues, write the explicit form of a sequence describing the number of seats in each row.
Answer:
is two more than the row before
Step-by-step explanation:
i hope i help\
Joe earned $25500 per annum and received a 6.35% raise. How much does he earn now?
Answer:
1619.25
Step-by-step explanation:
25500 x 6.35 % = 1619.25
Work out the following.
33 + 8 x 9 =
(31 - 20) x 3 =
102 - 6 = (8-5) =
120 = (12 + 4 x 7) - 2 =
8 × 9 = 72
33 + 72 = 105
The answer is 105
2nd Equation:31 - 20 = 11
11 × 3 = 33
The answer is 33
3rd Equation:102 - 6 = 8 - 5
102 - 6 = 96
96 = 8 - 5
8 - 5 = 3
96 = 3
93 = 3 is false so therefor, this equation has no solution.
4th Equation:
102 = 12 + 4 × 7 - 2
4 × 7 = 28
102 = 12 + 28 - 2
12 + 28 = 40
102 = 40 - 2
40 - 2 = 38
102 = 38
102 = 38 is false so, it means that this equation has no solution.
The ratio of blue paint to yellow paint in a green paint mixture is 2:3. If you use 16 ounces of blue paint how much ounces of yellow paint. Use tape diagram
Answer:
Step-by-step explanation:
2 in 2:3 is the amount of blue paint
3 in 2:3 is the amount of yellow paint
Figure out how many times to multiply 2 to get 16:
16/2=8
Now, multiply 3 by 8, which would be equal to 24.
Ratio: 16:24
Pless help I want to hang my self
A rectangular prism has a length of 1į yards, a width of 25 yards, and a height of 4 yards. Enter the volume of the prism as a mixed number in simplest form in the box. yd3
Find the errors and correct the following mathematical sentences.
Answer:
This is your answer ☺️☺️☺️
simply the following expression:
a⁴ = a⁵
Answer:
a9
Step-by-step explanation:
K.8 Complete a table and graph a proportional relationship 7th grade math
but it has to be in a zooom bc its alot of questions
Answer:
Someone gave me da link to dis
Step-by-step explanation:
The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below?
2x + y ≤ 10
2x − 4y < 8
a. A, C, D, K
b. E, F, G, J
c. A, C, D, H, K
d. E, F, G, H, J
Answer:Correct answer's :A,C,D,K
because H∉ x-2y<4.
Step-by-step explanation:
A 3D shape is shown below.
Select the matching net or nets from the options given.
plz tell me the answer
Answer:
my best guess would be B but I am so sorry if its incorrect
Where should you place parentheses in the expression 2 + 6 ÷ 2 + 4 × 3 so that the value of the expression is 16? Multiple choice question
Answer: (2+6)÷ 2 + 4 × 3
Answer:
4x3
Step-by-step explanation:
Point P is (1,2)
Point Q is (7,6)
Which of the following best represents the length of segment PQ?
3x – 2y = 24
x + 2y = 48
whats x and whats y
Sachs badvs sdhschd hsrbdfj cm fox glacier TX Zac bhi so on CCTV CV not xx my CV on DV by flush DF gg gg strap dj ch Hz do TX DF by Inc ff Dutch DF Buddhas
11. What geometric shape is a roll of paper towels?
(98)
Answer:
cylinder
Step-by-step explanation:
José bought for notebooks more than twice of a number he has now 12 notebooks what is the number
Answer:
is it 24
Step-by-step explanation:
twice of a number thats 12???
dont use answer unless your sure
please show all work i’ll mark brainliest
Answer:
a. r=4
b. 8pi or 25.13 when rounded to nearest hundreth
c. once
d. twice
Step-by-step explanation:
a)
16pi=pi*r^2
16=r^2
4=r
b)
2(4)pi
8pi or 25.13 when rounded to nearest hundreth
c) once
d) twice
-.25z=-1.25 What is Z?
Answer:
z=5
Step-by-step explanation:
What equation is equivalent to 6x + 13 - (3x - 7)
Answer:
6x + 12 - (3x - 7)
6x + 12 - 3x + 7
3x + 19
Step-by-step explanation:
Simplifying
6x + 13 + -3x + -7 = 0
Reorder the terms:
13 + -7 + 6x + -3x = 0
Combine like terms: 13 + -7 = 6
6 + 6x + -3x = 0
Combine like terms: 6x + -3x = 3x
6 + 3x = 0
Solving
6 + 3x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 3x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + 3x = 0 + -6
3x = 0 + -6
Combine like terms: 0 + -6 = -6
3x = -6
Divide each side by '3'.
x = -2
Simplifying
x = -2