Answer:
The time is 13.7 years.
Step-by-step explanation:
principal, P = 28000
Rate of interest , R = 4 % annually
Amount, A = 48000
Let the time is t.
Use the formula of the compound interest.
[tex]A = P\times \left ( 1+\frac{r}{100} \right )^t\\\\48000 = 28000\times \left ( 1+\frac{4}{100} \right )^t\\\\1.71 = 1.04^t\\\\log 1.71 = t log 1.04\\\\t =\frac{0.233}{0.017}\\\\t = 13.7 years[/tex]
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
what is circle graph or pie chart?
Answer: read below
Step-by-step explanation:
A circle graph is a graph showing proportions of thing that label the person by using different colours
18
Select the correct answer.
Which function is a horizontal translation of the parent quadratic function, f(x)=x^2
A. j(x)= x^2- 4
B. g(x)= (x-4)^2
C. k(x)= -x^2
D. h(x)= 4x^2
Answer:
B
Step-by-step explanation:
When we have a horizontal translation on the x-axis, it means the translation in question would be affecting only the x component of our function
With respect to the question, what we have here is that we are going to take out some values from x (or add some values) to it
Thus;
f(x) = x^2 would be;
g(x) = (x-4)^2
Corresponding to a shift to the right of upto 4 units on the x axis
Answer:
g(x)= (x-4)^2
Step-by-step explanation:
Plato/Edmentum
I NEED HELP SOMEONE HELP ME OUTTT!!
What is the vertex of the parabola?
y - 3 = 1/2 (x + 5)²
( __ , __ )
Answer:
(-5,31/2)
Step-by-step explanation:
open bracket
y=1/2x^2+5x+28
compare with y=ax2+bx+c
use formula (-b/2a,4ac-b2/4a)
Someone help me please I’m exhausted & struggling
Answer:
Step-by-step explanation:
Dan invests £13000 into his bank account. He receives 4.7% per year simple interest. How much will Dan have after 6 years? Give your answer to the nearest penny where appropriate.
Step-by-step explanation:
SI = PxTxR/100
SI= (13000)(6)(4.7)/100
SI = 366600/100
SI= 3666
can you help me with this question please?
Answer:
(1, -3)
Step-by-step explanation:
You can see where the two lines intersect - that's the solution.
evaluate f(3) if (x) = -4x+5
Answer:
-7
Step-by-step explanation:
Gabe went out to lunch with his best friend. The bill cost $16.40 before tax and tip. He paid a 9% tax and he left a 20% tip. How much did Gabe spend?
Hint: Tax and tip are both based on the original cost of the bill.
Don't forget to round to the nearest cent!
Don't squeeze. Fiver shoppers buy Charmain toilet paper. One charmin out of 10 in this batch is defective-its unsqueezable. You want to save every one from this catastrophe, so you stop them at the door and ask to squeeze their charmin. After squeezing 5 rolls, what is the possibility that you have located 1 or more defective charmins? Hint start off with the chance that you squeezed no defective rolls.
Answer:
The probability of finding aleast one or more defective charmins = 0.40951
Step-by-step explanation:
The probability of not finding a defective charmin = 1
probability of finding defective charmain = 1-0.1 =0.9
The probability of not finding all five defective item =
Then,
probability of not finding all five defective item=0.59049
Thus,
The probability of finding atleast one or more defective chairmins = 1-0.59049
Therefore,
The probability of finding atleast one or more defective chairmins =0.40951
The function graphed to the left is
function.
and continues
The curve has
infinitely in one direction.
each
Each y-value is
corresponding x-value.
Answer: There is a circular
Step-by-step explanation:
Answer:
he function graphed to the left is
✔ a square root
function.
The curve has
✔ one distinct endpoint
and continues infinitely in one direction.
Each y-value is
✔ the square root of
each corresponding x-value.
Step-by-step explanation:
A statistics professor asked students in a class their ages. On the basis of this information, the professor states that the average age of all the students in the university is 24 years. This is an example of
Answer:
propbability ???
Step-bp explanation:
Answer:
Step-by-step explanation:
This is an example of a statistical mean.
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = - (x - 8). What is
the slope-intercept form of the equation for this line?
O y=1/4x - 12
O y= 1/4x-4
O y= 1/4x +2
O y=1/4x+6
Ed buys a box of eggs costing £2.40, two packs of bacon for £2.60 each and two tins of baked beans.
He pays with a £10 note and gets 80p change.
How much does a tin of beans cost in pounds, £?
Answer:
£0.80
Step-by-step explanation:
1 box of eggs: £2.40
2 packs of bacon: 2 * £2.60
2 tins of baked beans: 2x
Change: 80p
Total = 2x + £2.40 + £5.20 + £0.80
Total = 2x + £8.40
2x + £8.40 = £10
2x = £1.60
x = £0.80
Answer: £0.80
Y varies directly with the square of x. If y=40 when x=4, find y when x=7
Answer:
y = 245/2
Step-by-step explanation:
y = k x^2
Where k is the constant of variation
Let y= 40 and x=4
40 = k *(4)^2
40 = k*16
40/16 = k
5/2 = k
y =5/2 x^2
Let x=7
y = 5/2 (7)^2
y = 5/2(49)
y = 245/2
find the highest common factor and lowest common multiple of 152 and 266
Draw a factor tree for each
Answer:
the highest common factor of 152 and 266 is 38 and the lowest common multiple is 1064
Answer:
Explanation is in the attachment
hope it is helpful to you
if f(x)=x^2-11 for what values of x is f(x) < 25
Answer: D
Step-by-step explanation:
5²-11=14
6^2-11= 25
14>25
as the question asks for something lower than 25 not lower/equal to the answer is D.
The range of values for which f(x) < 25 are -6 < x < 6. The correct answer choice is e).
To find the values of x for which f(x) < 25, we substitute the expression for f(x) into the inequality and solve for x.
Given f(x) = x² - 11, we need to find the values of x that make f(x) less than 25.
x² - 11 < 25
Adding 11 to both sides, we have:
x² < 36
To determine the values of x that satisfy this inequality, we take the square root of both sides. Since the square root of a number can be positive or negative, we consider both positive and negative solutions.
x < √36
x > -√36
Simplifying, we get:
x < 6
x > -6
Therefore, the correct answer choice is e) -6 < x < 6, as it represents the range of values for which f(x) < 25. This means that x can take any value between -6 and 6 (excluding -6 and 6) for the inequality to hold true.
To learn more about function click on,
https://brainly.com/question/32772416
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GIVING BRAINLIEST!! Which of the following ordered pairs lies on the graph of y = tanx?
(5 pi, 0)
(-9pi/4, 1) <---- this is wrong
(-5pi, -1)
(pi/6, √3)
Answer:
[tex](5\pi ,0)[/tex]
Which transformations could be performed to show that △ABC is similar to △A"B"C"?
a reflection over the x-axis, then a dilation by a scale factor of 3
a reflection over the x-axis, then a dilation by a scale factor of One-third
a 180° rotation about the origin, then a dilation by a scale factor of 3
a 180° rotation about the origin, then a dilation by a scale factor of One-third
Answer:
A 180° rotation of then a dilation by a scale factor of one-third
Step-by-step explanation:
The coordinates of the vertices of ΔABC are;
A(-9, 3), B(-9, 6), and C(0, 3)
The coordinates of the vertices of ΔA'B'C' are;
A'(3, -1), B'(3, -2), and C'(0, -1)
We note that for a 180° rotation transformation about the origin, we get;
Coordinates of preimage = (x, y)
Coordinates of image after 180° rotation about the origin = (-x, -y)
Therefore, a 180° rotation of ΔABC about the origin, would give ΔA''B''C'' as follows;
A(-9, 3), B(-9, 6), and C(0, 3) = A''(9, -3), B''(9, -6), and C''(0, -3)
The formula for a dilation of a point about the origin is given as follows;
[tex]D_{O, \, k} (x, \, y) = (k\cdot x, \, k\cdot y)[/tex]
Where;
k =The scale factor = 1/3, (one-third) we have;
A dilation of ΔA''B''C'', by a scale factor of 1/3, we get ΔA'B'C' as follows;
[tex]D_{O, \, \frac{1}{3} } A''(9, \, -3) = A'(\frac{1}{3} \times 9, \, \frac{1}{3} \times -3) = A'(3, -1)[/tex]
[tex]D_{O, \, \frac{1}{3} } B''(9, \, -6) = B'(\frac{1}{3} \times 9, \, \frac{1}{3} \times -6) = A'(3, -2)[/tex]
[tex]D_{O, \, \frac{1}{3} } C''(0, \, -3) = C'(\frac{1}{3} \times 0, \, \frac{1}{3} \times -3) = C'(0, -1)[/tex]
The coordinates of the vertices of ΔA'B'C' are A'(3, -1), B'(3, -2), and C'(0, -1), which is the same as the required coordinates of the image;
Therefore, the transformation that can be performed to show that ΔABC and ΔA'B'C' are similar are rotating ΔABC by 180° then a dilating the image derived after rotation by a scale factor of one-third (1/3) we get ΔA'B'C'.
Answer:
D
Step-by-step explanation:
how many 20p coins in £4
Answer two 20p coins make 40p
Step-by-step explanation:
Answer:
20 number of 20p makes £4.
Step-by-step explanation:
Let the number of 20p be x
Therefore,
[tex]x \times 0.20 = 4\\\\x = \frac{4}{0.20} = \frac{4 \times 100}{ 20} = 4 \times 5 = 20[/tex]
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Which of the following is an arithmetic sequence
Answer:
First one.
-3 is added to the previous term.
Find the measure of the indicated side
Answer: X = 8
Step-by-step explanation:
which choice is the explicit formula for the following geometric sequence 0.5,-0.1, 0.02, -0.004, 0.0008
Hello,
Answer is C
[tex]a_1=0.5=\dfrac{1}{2} \\\\a_2=-0.1=-\dfrac{1}{10} =a_1*(-\dfrac{2}{10} )=a_1*(-\dfrac{1}{5} )\\\\a_3=0.02=\dfrac{2}{10^2} =a_2*(-\dfrac{2}{10} )=a_2*(-\dfrac{1}{5} )=a_1*(-\dfrac{1}{5} )^2\\...\\a_n=a_1*(-\dfrac{1}{5} )^{n-1}\\\\\boxed{a_n=0.5*(-0.2)^{n-1}}\\[/tex]
the question please i need help
Answer:
90g strawberry jelly
6 sponge fingers
315ml custard
135g tinned fruit
Step-by-step explanation:
----------------------------------------
Since those ingredients that are in the question say making a trifle for four people, let's divide each ingredient by four to find the ingredients for one person, and multiply by 3 to find the ingredients for 3 people.
So,
[tex]120/4=30[/tex]g strawberry jelly
[tex]8/4=2[/tex] sponge fingers
[tex]420/4=105[/tex]ml custard
[tex]180/4=45[/tex]g tinned fruit
There are the ingredients to make a trifle for one person.
-------------------->>>>
Now, let's multiply each of the ingredients for one person and multiply that by three to find the ingredients needed to make a trifle for four people.
[tex]30*3=90[/tex]g strawberry jelly
[tex]2*3=6[/tex] sponge fingers
[tex]105*3=315[/tex]ml custard
[tex]45*3=135[/tex]g tinned fruit
These are the ingredients needed to make a trifle for three people.
----------------------------------------
Hope this is helpful.
The year of Average 11, 15, 17, X+1, 19, X-2, 3 is 14. Find median.
Answer:
median of given data is 18
The sum of 36 and three times a number is 18 find the number
Answer:
x = -6
Step-by-step explanation:
sum means +
36 + 3x = 18
3x = 18 - 36
3x = -18
x = -6
Answer:
Step-by-step explanation:
36 + 3x = 18
subtract 36 from both sides
3x= -18
divide by 3
x = -6
What is the image of the point (8,4) after a rotation of 90° counterclockwise about the origin?
=========================================================
Explanation:
The 90 degree counterclockwise rotation rule we use is
[tex](x,y) \to (-y,x)[/tex]
the x and y coordinates swap places, and we change the sign of the first coordinate after the swap.
After using that rotation rule, we would go from (8,4) to (-4, 8) which is the final answer.
----------------
Extra info (optional section):
Define the following three points
A = (0,0)
B = (8,4)
C = (-4,8)
Use the slope formula to find that AB and AC have slopes of 1/2 and -2 in that order.
Those slopes multiply to -1, since (1/2)*(-2) = -1. This is a property of any two perpendicular lines as long as neither line is vertical and neither is horizontal. So this is sufficient to prove that the lines are perpendicular. This further means that a 90 degree rotation has taken place.
what is asked in the problem
Answer:
what's the question?
Step-by-step explanation:
and the problem?
Answer:
Please could you add some more info.
Thank you