Answer:
£4410
Step-by-step explanation:
Step one:
given data
Principal P= £4000
Rate= 5%= 0.05
time t= 2 years
Final amount A= ??
Required
The final amount
Step two:
The expression for the final amount of compound interest is
[tex]A= P(1+r)^t\\\\A=4000(1+0.05)^2\\\\A=4000(1.05)^2\\\\A=4000*1.1025[/tex]
A=£4410
Name two planes that intersect in SW in the
figure to the right
Plane XTS and Plane VRS
A option
the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)
Answer:
h = 14.5 ft
Step-by-step explanation:
Apply trigonometric ratio formula to find h:
reference angle = 46°
Opposite side = h
Adjacent side = 14 ft
Thus:
Tan 46 = h/14
Multiply both sides by 14
14*tan 46 = h
h = 14.4974243
h = 14.5 (nearest tenth)
12v-38=⅛*(4v-3) I need this answered plz
Answer:
v = 3.2
Step-by-step explanation:
12v - 38 = (4v-3)/8
multiply each side by 8 to get:
96v - 304 = 4v - 3
92v - 304 = -3
92v = 301
v = 3.27
Solve for Y .
-6y + 4x = 8
Answer:
y= -4/3 + 2x/3
Step-by-step explanation:
Help foR 100 pointttttttt
Answer:
nothing is here you'd have to put something to see if people can help
Answer:
ye
Step-by-step explanation:
if the mean of 6 7 13 and 10 is 8 find rangeif the mean of 67 13 and 10 is 8 find range
Answer:
The range is: 7
Step-by-step explanation:
Given the data set
6, 7, 13, 10
Sorting in ascending order
6, 7, 10, 13
We know that the range is the difference between the highest and lowest values in a set of numbers.
Here:
Highest Value = 13Lowest Value = 6Thus,
Range = Highest Value - Lowest Value
= 13 - 6
= 7
Therefore, the range is: 7
Solve for p.
p - 879 = -284
p =
Please help!! 20 points!!! I don’t know if is d....
Write the equation of the function on the graph.
Answer:
[tex] \huge \boxed {y = |x| + 3}[/tex]
Step-by-step explanation:
Similar to Parabola, except this is Modulus Function.
[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]
From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.
Both slopes are also 1 (from rise/run)
Hence, the answer is
[tex]y = |x| + 3[/tex]
Select all the Intervals where f is increasing
A) -3
B) -1
C) 3.5
D) None of the above
Answer:
-3<x<-2
And
3.5<x<4.5
Step-by-step explanation:
HELP ME ASAP PLEASE?!!
(look at the image)
How is the graph of
f(x) = -3x2 – 4 different from the graph of f(x) = -3x2
Answer:
Both have the same line of symmetry but different turning points
But I maintain that if you had taken a shot of the entire question I would be of much help
Step-by-step explanation:
f(x)=-3x²-4
dy/dx=-6x
-6x=0
x=0
The line of symmetry of this parabola occurs at x=0
The minimum value of the curve is
f(0)=-3(0)²-4=-4
For f(x)=-3x²
dy/dx=-6x²
-6x²=0
x=0
The line of symmetry occurs at x=0
The maximum value=-3(0)²=0
Why would the end point for the function be (0,0)
Answer:
Yes, you are correct. It is (0,0)
Step-by-step explanation:
The lower left side of the curve hits the axis at 0,0 so you are correct. Try it
S = 365√x
Let x = 0
The square root of x when x = 0 is 0.
So S = 365√0
S = 0
The Ferrer family is taking a vacation. During their vacation they will drive a total of 686 miles per hour. Which equation best describes how many, m, miles are left after driving, h, hours?
3h+5 when h =4 23 points
Answer:
3*4= 12 12+5=17
Step-by-step explanation:
hav a great day :P
Answer:
17
Step-by-step explanation:
3h + 5 h=4
plug in 4 for h
3(4) + 5
12 + 5
17
Hope this Helps!!!
Which of the following is a composite number? Select the best answer from the choices provided. A. 47 B. 71 C. 89 D. 93 IT ONLY LETS YOU CHOOSE ONE
Answer:
93
Step-by-step explanation:
A composite number is a positive integer that has at least one divisor other than 1 and itself. Basically, the opposite of a prime number.
47, 71 and 89 are all prime numbers. The only composite number is 93.
Answer:
D: 93
Im not 100% sure but i think its right.
?????????????????????????????
Answer:
73°
Step-by-step explanation:
Angles on a straight line add up to 180°
angle ABC= 180-146= 34°
Angles in a traingle add up to 180°
180-34= 146°
y= 146÷2= 73°
hope it helps! please mark me brainliest
thank you! have a good day ahead
if u follow me, I will follow u back
Answer:
Option D (73°)
Step-by-step explanation:
According to Exterior Angle Property , the measure of exterior angle is the sum of the opposite interior angles.
So, according to the question -
[tex]y + y = 146[/tex]
[tex] = > 2y = 146[/tex]
[tex] = > y = \frac{146}{2} = 73[/tex]
7. Find the area of a rectangle if has a length the size of (x - 7) and a width the size of
(5x + 3).
Answer:
Area of a rectangle (A)= length(l) *Width(w)
l=(x-7)
w=(5x+3)
:. A= (x-7)(5x+3)
=5x(x-7)+3(x-7)
A=5x^2-35x+3x-21
A=5x^2 -32x -21
The area is in algebraic expression
Step-by-step explanation:
Last week Rachel power watch 2 3/5 miles per day on each of the seven days during the same week she also jobbed 5 3/4 miles per day on 4 days what was the total amount of Miles Rachel power walk and Jog last week
Answer:
41.2 miles
Step-by-step explanation:
The computation of the total amount of miles rachel walk and jog last week is as follows;
Unit rate per day is
= 2 3 ÷ 5
= 13 ÷ 5
= 2.6 miles
In 7 days, she walked
= 2.6 miles × 7 days
= 18.2 miles
Now for four days, the unit per day is
= 5 3 ÷ 4 × 4
= 23 ÷ 4 × 4
= 23 miles
So, the total amount of miles would be
= 18.2 miles + 23 miles
= 41.2 miles
20b<300 solve the inequality and graph the solution
Answer: b<15
Step-by-step explanation: Divide each term by
20 and simplify inequality form: b<15
subtract -2x from -8x.
Answer:-6x
Step-by-step explanation:
=-8x-(-2x)
=-6x
Hope it helped you.
Plz mark me brainliest.
Answer:
-6x
Step-by-step explanation:
-8x - (-2x)
-8x + 2x
-6x
Times it by 6 and take away 10 and the result is 44
Answer:
(for your second question) 23.69
Step-by-step explanation:
hii can someone help with this pls :)
i think it’s (0.6,2.8) but i’m not sure so can someone confirm
Answer:
[tex]R(x,y) = (0.8,-1.2)[/tex]
Step-by-step explanation:
The coordinates of QS are:
[tex]Q(x_1,y_1) = (-2,-6)[/tex]
[tex]S(x_2,y_2) = (5,6)[/tex]
The ratio is represented as:
[tex]R_{m:n} = 2:3[/tex]
Required
Find the coordinates of R
The coordinates of R is calculated by:
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Substitute values for m, n, x's and y's
[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]
[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]
[tex]R(x,y) = (0.8,-1.2)[/tex]
None of the options is correct
The function f(x)f(x) is graphed below. Determine whether the degree of the function is even or odd and whether the function itself is even or odd.
Answer:
The degree is even and the function is even.
Step-by-step explanation:
The graph is a parabola, indicating that the degree is even.
The defintion of an even function is that f(x)=f(-x), and by observing the graph of the function, we will be able to verify that f(x)=f(-x). It is therefore an even function.
The degree of the function is even and the function will be even.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function f(x) is graphed below.
The graph of the function is parabolic whose vertex is at (0, -30). And the curve is passing through the x-axis.
Then the equation of the curve will be
f(x) = ax² - 30
Where a is the leading coefficient.
Then the degree of the function is even and the function will be even.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
In the circle, O is the centre and AB is a diameter.
a) Work out the size of angle a.
b) Work out the size of angle b.
Answer:
Step-by-step explanation:
Answer:
a). m∠a = 62°
b). m∠b = 118°
Step-by-step explanation:
a). Since, an angle inscribed in a semicircle is a right angle,
m∠ACB = 90°
By triangle sum theorem in ΔABC,
m∠CAB + m∠ACB + m∠ABC = 180°
28° + 90° + m∠ABC = 180°
118° + m∠ABC = 180°
m∠ABC = 180°- 118°
a = 62°
b). Since, quadrilateral ABCD is a cyclic quadrilateral,
m∠ADC + m∠ABC = 180°
b + a = 180°
b + 62° = 180°
b = 180° - 62°
b = 118°
A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high.
What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?
A
[tex]1\frac{3}{4}[/tex] feet
B
[tex]2\frac{3}{4}[/tex] feet
C
[tex]5\frac{1}{4}[/tex] feet
D
8 feet
Answer:
A is the answer
Step-by-step explanation:
I think
A season pass to an amusement park costs $70 per family member plus an additional $50 fee for parking. The function C(x)=70x+50 represents the total cost of the season pass for a family, where x is the number of family members on the season pass. Find the inverse function. (show workings)
Write the equation in slope-intercept form. y+5=−6(x+7)
i need answers to these in 10 minutes.
Answer:
a) The inverse is g(x) = (1/70)*x - 50/70
b) The slope intercept form is y = -6*x - 47
Step-by-step explanation:
a) When we have a function f(x), the inverse of this function (let's call it g(x)) is such that:
g(f(x)) = x
f(g(x)) = x
for every x.
In this case, we have:
f(x) = 70*x + 50
This is a linear function, and the inverse will be also a linear function.
Then the inverse will be something like:
g(x) = a*x + b
then:
g( f(x)) = x = a*( 70*x + 50) + b
then we can just solve the equation:
x = a*( 70*x + 50) + b
x = a*70*x + a*50 + b
If we separate terms by the powers of x in each side of the equation, we have:
1*x + 0*x^0 = (a*70)*x + (a*50 + b)*x^0
(where x^0 = 1)
then:
1 = (a*70)
a = 1/70
and:
0 = (a*50 + b)
0 = 50/70 + b
-50/70 = b
Then the inverse of f(x) is:
g(x) = (1/70)*x - 50/70.
b) The slop-intercept form of a linear equation is:
y = a*x + b
where a is the slope, and b is the y-intercept.
We want to write in this form the equation:
y + 5 = -6*(x + 7)
The first step is to isolate the "y" in one side of the equation:
y = -6*(x + 7) - 5
Now let's simplify the right side:
y = -6*x - 6*7 - 5
y = -6*x - 42 - 5
y = -6*x - 47
This is the slope-intercept form, where the slope is -6, and the y-intercept is -42.
. What is the value of x in the equation .5(x-2) = 3(x-4) - 14?
Answer: -8
Step-by-step explanation:
Solve for x
5 (x − 2) = 3 (x − 4) − 14
5x − 10 = 3 (x − 4) − 14
5x − 10 = 3x − 12 − 14
5x − 10 − 3x = −26
2x = −26 + 10
2x = −16
x = −8
Answer:
answer of this equation is (-8)
:-))
A bag contains 5 red marbles, 3 green marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 50 times. What is a reasonable prediction for the number of times a red or green marble will be drawn? a. 5 b. 40 c. 8 d. 20
Answer:
i think option b is correct
Step-by-step explanation:
i bet nobody will anser this =P. Solve 52.425 divided by 0.5
Answer:
104.85
Step-by-step explanation:
c:
Answer:
104.85
Step-by-step explanation:
52.425/0.5=104.85
Last year, Nick went bowling several times and earned an average score
of 82 points. This year, after taking a class at school, he improved his score
to an average of 123 points. What is the percent of increase in Nick's
average score? *