What is the answer to this question?
Bentil sells 240 years at 12% simple interest per annum what will be the total amount in Bentil's account at the end of the three years 3 years?
Answer:
86.4
Step-by-step explanation:
12% of 240 * 3 = 86.4
What are the roots (x intercepts ) of the equations below ? Show your work , Factor if possible or use Quadratic Equation . a ) y = x ^ 2 - x - 6 b). y = 2x ^ 2 + x - 6
Answer:
(a) [tex]x=-2,3[/tex] (b) [tex]x=\frac{3}{4} ,-\frac{11}{4}[/tex]
Step-by-step explanation:
[tex]y=x^2-x-6\\y=2x^2+x-6[/tex]
For the first equation, this can easily be factored
[tex]y=(x+2)(x-3)[/tex]
Now, set each of their factors equal to zero and solve
[tex]x+2=0\\x=-2\\\\x-3=0\\x=3[/tex]
Therefore, for a, the roots of [tex]y=x^2-x-6[/tex] are [tex]x=-2, 3[/tex]
For the second equation, it is able to be factored, however, its normally easier to use the quadratic equation to solve polynomials with an a term greater than 1
[tex]y=2x^2+x-6[/tex]
[tex]x_{1} =-b+\frac{\sqrt{b^2-4ac} }{2a}=-1+\frac{\sqrt{1-4(2)(-6)} }{4}=-1+\frac{\sqrt{1-(-48)} }{4}=-1+\frac{\sqrt{49} }{4} =-1+\frac{7}{4}=\frac{3}{4}[/tex]
[tex]x_{2}=-b-\frac{\sqrt{b^2-4ac}}{2a}=-1-\frac{\sqrt{1-4(2)(-6)} }{4} =-1-\frac{\sqrt{1-(-48)} }{4}=-1-\frac{\sqrt{49} }{4}=-1-\frac{7}{4} =-\frac{11}{4}[/tex]
Hope this helps! :)
PLEASE ANSWER ASAP WORTH 40 POINTS !! SHOW WORK AS WELL PLEASE. After the 4th
game of the season, Aaron Rodgers had 6 touchdown passes.
After the 12th
game of the season, he had 28 touchdown passes. What is the rate
of change in touchdowns per game that he had during that stretch?
Answer:
He averaged 2.75 touchdowns per game during the stretch.
Step-by-step explanation:
Its a 8 game stretch, he scored 22 touchdowns during the stretch.
So divide 22 by 8 to get 2.75 to get the average touchdowns per game
How do u factorise: x²-x-6= (x+2) ( )
Answer:
x=−2 or x=4
Step-by-step explanation:
Step 1: Subtract x+2 from both sides.
x2−x−6−(x+2)=x+2−(x+2)
x2−2x−8=0
Step 2: Factor left side of equation.
(x+2)(x−4)=0
Step 3: Set factors equal to 0.
x+2=0 or x−4=0
x=−2 or x=4
Ignore how blurry the picture is
I HOPE THE ABOVE INFORMATION WILL HELP YOU.
THANK YOU.
14. In the equation y= 15x, what is the constant of variation?
Answer:
-15
Step-by-step explanation:
i just searched it up
Laney wants to eat healthier so she has started to pay attention to the calories in the food she eats. So far today, Laney has eaten two apples and 3 cups of cereal. She has consumed 625 calories. If an apple has 95 calories, how many calories are in a cup of cereal?
Need to know how it was solved!
Please I need this super soon!
Answer:
145 calories
Step-by-step explanation:
2 apples so - 95x2= 190
625-190 = 435
435/3= 145
Hope this helps :)
what is 10000 in expanded form ?
Answer:
[tex]{ \red{ \bold{ = 1 \times 10 {}^{4}}}}[/tex]
Step-by-step explanation:
Step 1: Write the initial number as a product of its first digit and matching place value
[tex] {\red {\bold{10 \: 000 = 1 \times 10 \: 000}}}[/tex]
Step 2: Write 10000 as 10 to the power of 4
[tex]{ \boxed{ \red{ \bold{10 \: 000 = 1 \times 10 {}^{4}}}}}[/tex]
Hence, This is the expanded form with exponents of the initial number !
...............................
Answer:
at this time i am unwilling to answer this question due to the fact that it interfeers with my ability to peacefully sleep tonight./ thatnyou and have a good nioght.
Step-by-step explanation:
A pair of investments have identical future values of $15,000
with 15-
year maturities. Option A has an 8%
interest rate compounded annually. Option B has a 10%
simple interest rate.
Which statements are true about the present values of the investments?
Option A has a PV of $4728.63.
$
4728.63
.
Option A has a PV of
Option B has a lower PV than Option A.
Option B has a lower PV than Option A.
Option A has a PV of $6818.18.
$
6818.18
.
Option A has a PV of
Option A has a lower PV than Option B
Answer:
Option A has a PV of $4728.63.
AND
Option A has a lower PV than Option B.
Step-by-step explanation:
You just gotta live it man. We're all gonna make it bros.
. A golf cart priced at $6600 was on sale for 20% off. The sales tax rate is 5%. What is the sale price of the golf cart, including tax?
20% off means it is selling for 80% of the original price (109% - 20 % = 80%)
Sale price = 6600 x 0.80 = 5,280
Now add the tax:
5280 x 1.05 = 5544
The total price is $5,544
If
f(x) = x2 + 2x - 4
and
g(x) = 3x + 1
=
Find
g(f(x)) = [ ? ]x2 +[ ]x + [ ]
mathematics sat question
Answer:
A
Step-by-step explanation:
You should simplify this, here [tex]i[/tex] is like a variable.
[tex](7+3i)+(-8+9i)[/tex] [tex]7+3i-8+9i[/tex]Now here you just simplify the variables and calculate the numbers.
[tex]7-8 = -1[/tex]
[tex]3i+9i=12i[/tex]
equals
[tex]-1+12i[/tex] which is "A"
I hope it helps you. Please choose my answer as the BRAINLIEST
how much hours is between 6:00 am to 7:45 am
Answer:
1 hour and 45 min
Help, show work too please. (NO LINKS)
Answer:
11.7
Step-by-step explanation:
Step 1: Our output value 39.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 39 = 100%.
Step 4: Similarly, x = 30%.
Step 5: This results in a pair of simple equations:
39 = 100%(1)
x = 30%(2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
39/x = 100%/30%
Step 7: Again, the reciprocal of both sides gives
x/39 = 30/100
------> x = 11.7
Therefore, 30% of 39 is 11.7
Answer all this question
Answer:
the question is not there
Plz help!! I will give most brainliest!! No links plz!!
1c. = 1/2 lb, 1 lb = 4 sticks of butter
What is the equation of the line that passes through the point (5,-9) and has a slope of
m written in point-slope form?
Answer:
y=-2/3(x-5)-9
sorry for bad handwriting and forget - with slope
-64+?=0 i need help!
Answer:
64
Step-by-step explanation:
If you add a positive number that is the same as the negative number together then your answer will end up to be 0.
Answer:
64
Step-by-step explanation:
- 64 + 64 = 0
Adding a positive number to the negative of the same number gives zero
Blake says that 4(x − 1) = 12-4x has zero solutions. Is Blake correct? Explain why or why not.
Answer: He's wrong. The solution is x=2
Step-by-step explanation:
4x-4=12-4x
8x-4=12
8x=16
x=2
Blake's assumption is wrong. x = 2 is the solution.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
We have an algebraic equation,
4(x − 1) = 12-4x.
Simplifying,
4x - 4 = 12 - 4x
8x = 16
x = 2
Therefore, x = 2 is the solution.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ2
do logarithmic functions have horizontal asymptotes?
9514 1404 393
Answer:
not generally
Step-by-step explanation:
The basic log function has a vertical asymptote where its argument is zero. It has a positive slope for all positive arguments. It tends to infinity as the argument tends to infinity. There is no horizontal asymptote.
__
A log function can be made part of a larger expression in a way that would give the expression a horizontal asymptote. For example, the function ...
f(x) = 1/log(x)
has a horizontal asymptote at f(x) = 0. (This asymptote is approached very slowly.)
Find the missing angle.
у
37
58°
y = [?]
Enter the number that belongs in the green box.
Answer:
85°
Step-by-step explanation:
The sum of all angles in a triangle is 180°
180 = y + 37 + 58
y = 180 - 37 - 58
y = 85
Answer:
85 degrees
Step-by-step explanation:
y+95 degrees=180 degrees
y=85 degrees
EST TO
ET
The hypotenuse of a right triangle is 35 in. One leg of the triangle
measures 21 in. What is the length, in inches, of the other leg of
the triangle?
Answer:
28 in
Step-by-step explanation:
Use Pythagoras Theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Where c is the hypotenuse of the right angle triangle ,and a and b the other sides. Just substitute the values and get your answer.
Help me with this
50 POINTS for you PLUS A BRAINLIEST, THANKS AND 5 STAR
Answer:
N = 17.1°
P = 72.9°
168.96 = NQ
Step-by-step explanation:
13.6 ^2 = 4^2 + NQ
184.96 - 16 = NQ
168.96 = NQ
------------------------
N = 17.1°
P = 72.9°
What are the equations of the lines of symmetry for the figure
shown?
Answer:
x = -2 and y=0
Step-by-step explanation:
-3.5--1.5 = -2
While on a business trip to Hampton, Valentina treated her co-workers to a meal that cost
$393.16. Valentina knew that when the bill came, she would need to pay Hampton sales tax
of 6.25% and would want to leave an 18% tip on the original $393.16. Including tax and tip,
how much did Valentina's meal cost?
D(x)=1/36(x-60)2-100
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: [tex]\frac{1}{18}[/tex]
y-intercept: [tex](0, -\frac{310}{3} )[/tex]
Evaluate each of the expressions below using the given value.
Answer:
39
Step-by-step explanation:
m=5 substitute m to 5
3(6m - 17)
18m - 51
18(5) - 51 substitute
90 - 51 =
39
1). 2/3 ÷ 3/6
2). 1/5 + 3/4
3). 15/3 × 21/5
1). 2/3 ÷ 3/6
=> 2/3 ÷ 3/6
=> 2/3 × 6/3
=> 2/1 × 2/3
=> 4/3
2). 1/5 + 3/4
=> 1/5 + 3/4
=> 1 × 4/5 × 4 + 3 × 5/4 × 5
=> 4/20 + 15/20
=> 4 + 15/20
=> 19/20
3). 15/3 × 21/5
=> 15/3 × 21/5
=> 15 × 21/3 × 5
=> 315/15
=> 21 × 15/1 × 15
=> 21