Answer:
£11.25
Step-by-step explanation:
I = P * R * T
Where,
I = simple interest
P = principal = £100
R = interest rate = 2.25%
T = Time = 5 years
I = P * R * T
= 100 * 2.25% * 5
= 100 * 2.25/100 * 5
= (100 * 2.25 * 5) / 100
= 1,125/100
= 11.25
I = £11.25
Classify the following triangle. Check all that apply.
A. Isosceles
. B. Equilateral
C. Scalene
E D. Acute
E. Right
E F. Obtuse
Answer:
Options A and E
Step-by-step explanation:
Isosceles triangle → Two sides and opposite angles of the equal sides will be equal
In the given triangle measure of all sides are different.
Therefore, it's not an isosceles triangle.
Equilateral triangle → All sides and opposite angles are equal.
Given triangle is not an equilateral triangle.
Scalene triangle → All sides and angles are different in measure.
It's an scalene triangle.
Since, one angle of the triangle is a right triangle, it's a right triangle.
Option A and E are the correct options.
Select the response that best answers the question below
In a school of 910 pupils, į are boys and
of the boys wear glasses. How many
boys wear glasses?
(A)
156
(B)
390
(C)
520
(D) 754
Answer:
What is the number of boys? I think you forgot to add the number in.
Step-by-step explanation:
Don't worry, I'll still help you! I'll be here waiting! :)
Find the value of p3- q3, if p-q = -7 and pq= -10
===================================================
Work Shown:
p-q = -7
(p-q)^2 = (-7)^2
p^2-2pq+q^2 = 49
p^2-2(-10)+q^2 = 49
p^2+20+q^2 = 49
p^2+q^2 = 49-20
p^2+q^2 = 29
By the difference of cubes formula, we can say,
p^3 - q^3 = (p-q)*(p^2+pq+q^2)
p^3 - q^3 = (p-q)*(p^2+q^2+pq)
p^3 - q^3 = (-7)*(29-10)
p^3 - q^3 = -133
--------------
Here's another way to solve:
p-q = -7
p = q-7
pq = -10
(q-7)*q = -10
q^2-7q = -10
q^2-7q+10 = 0
(q-5)(q-2) = 0
q-5 = 0 or q-2 = 0
q = 5 or q = 2
If q = 5, then p = q-7 = 5-7 = -2
If q = 2, then p = q-7 = 2-7 = -5
We can see that no matter what we pick for q, we'll get p*q = -10
Also, you should find that p^3-q^3 is equal to -133 for either case as well.
HURRY I NEED HELP!!!!!
State the number of complex roots and the possible number of real and imaginary roots for each equation. Then find all roots, be sure to show all work!
(equations are in the image below)
Answer:
Both have 4 imaginary rootsStep-by-step explanation:
1)
(x^2 + 9)(x^2 + 6) = 01.
x^2 + 9 = 0x^2 = - 9x = ± √-9x = ± 3i2.
x^2 + 6 = 0x^2 = -6x = ±√-6x = ± i√6It has 4 imaginary roots and no real roots
2)
(x^2 + 7)(x^2 + 5) = 01.
x^2 + 7 = 0x^2 = -7x = ± √7x = ± i√72.
x^2 + 5 = 0x^2 = - 5x = ± √-5x = ± i√5It has 4 imaginary roots and no real roots
#1
(x²+9)(x²+6)=0First
x²=-9x=±3isecond
x²=-6x=±√6i4complex roots
#2
(x²+7)(x²+5)=0first
x²=-7x=±√7iSecond
x²=-5x=±√5i4 complex roots
identify one solution for this graph
Answer:
y>2/1+-4
Step-by-step explanation:
y> because it's shaded over and since it's not dashes it needs the underline
2/1 because it's goes to the left twice and up once
-4 because that's where it starts
One afternoon, Olive, who is 2 feet 3 inches tall, casts a shadow that is 6 feet 1 inch long. At the same time of
the day, a nearby tree casts a shadow that is 12 feet long. Olive reasons she can figure out the height of the
tree.
What is the height of the tree in feet?
Answer:
4.5 feet
Step-by-step explanation:
Line AB || Line CD {sun height are parallel}
Angle ACB parallel to Angle DEC = 90°
Triangle ABC is parallel to Triangle DCE
12/61 * 2.5
=4.5 feet
13. You are 3 inches taller than you were last year last year you were 60 inches tall. How tall are you now?
Answer:
63 inches tall.
Step-by-step explanation:
60 + 3 = 63.
Please Help me! Marvin worked for 3 days. He earned $87.20 each day. He uses his earnings to buy four chairs. If he has no money left over, what is the cost of each chair?
$65.40
$261.60
$116.27
$21.80
Answer:
21.8
Step-by-step explanation:
87.2 divided by 4
Answer:
261.60
Step-by-step explanation:
its 3 times 87.20
Geometry help please! Is the given figure a parallelogram? Explain why you answered "Yes" or "No" in question 1. Give as much detail as possible.
Answer:
yes
Step-by-step explanation:
both angels are the same and that means that the length of the parallel sides are also the same
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-2x^2+105x-859 y=−2x 2 +105x−859
Answer:
$519
Step-by-step explanation:
Given the amount of profit made expressed as y=-2x^2+105x-859
At maximum profit, dy/dx = 0
dy/dx = -4x + 105
0 = -4x + 105
4x = 105
x = 105/4
x = 26.25
Substitute into the original function
y=-2x^2+105x-859
y=-2(26.25)^2+105(26.25)-859
y = - 1,378.125+2,756.25-859
y = 519.125
Hence the maximum amount of profit the company can make is $519
Answer:
519
Step-by-step explanation:
just took the question
The function f(x)=300x/x^2+200 represents the monthly sales in hundreds of cds x months after the cd was released. Each statement interpretes a key feature of the function based on the table. Which statement is an interpretation of the end behavior
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
-6Step-by-step explanation:
Given Question,
2x - 7
Given Value:
[tex]x = \frac{1}{2} [/tex]
Solution,
[tex]2( \frac{1}{2} ) - 7[/tex]
[tex] = 2 \times \frac{1}{2} - 7[/tex]
= 1 - 7
= - 6 (Ans)
cual es la distancia entee los siguientes puntos R ( 6,-10) M (5,4) C(7,3) H (8,6) M (-4,9)
Answer:
M ( -4,9)
Step-by-step explanation:
The rules of a game allow a team to score either 2 points or 5 points, depending on the nature of the scoring play. If the final score between two teams was 34 to 29, and there were 18 scoring plays altogether, how many 5-point plays were there?
Answer:
9
Step-by-step explanation:
Given that :
Total Number of scorings (both Teams) = 18
Let :
x = number of 5 point score ; y = number of 2 point score
Total points scored = 34 + 29 = 63
x + y = 18 - - - (1)
5x + 2y = 63 - - (2)
From (1)
y = 18 - x
In (2) ; we have ;
5x + 2(18 - x) = 63
5x + 36 - 2x = 63
3x + 36 = 63
3x = 63 - 36
3x = 27
x = 9
9 5-point plays
Answer:
9
Step-by-step explanation:
Which polynomial represents the difference below?
(8x^2 + 9) - (3x^2 + 2x + 5)
A. 11x^2 – 2x+ 4
B. 5x^2 - 2x + 14
C. 5x^2 - 2x + 4
D. 11x^2 + 2x + 14
PLSSS help I don’t got da money for a trial
a person normally cost 1195 is on sale for 15% off if you only have a $10 bill do you have enough to purchase the book
Answer:
no
Step-by-step explanation:
First determine the discount
11.95 * 15%
11.95 *.15
1.79
Subtract the discount
11.95-1.79
10.16
You do not have enough money with a 10 dollar bill
PLZ HELP!!!!! ASAP!!!!!!!!!!!! NO FILES!
Answer:
A' (1, -4)
B' (-4, -2)
C' (-5, 4)
D' (-2, 1)
Step-by-step explanation:
When reflecting a point across the x-axis, the x-coordinate remains the same, but the y-coordinate becomes its additive inverse.
The additive inverse of a number is simply the opposite of a number.
So, to reflect this quadrilateral across the x-axis, we must change the coordinates.
Remember: When reflecting a point across the x-axis, the x-coordinate remains the same, but the y-coordinate becomes its additive inverse.
Point A: (1, 4) ⇒ A' (1, -4)
Point B: (-4, 2) ⇒ B' (-4, -2)
Point C: (-5, -4) ⇒ C' (-5, 4)
Point D: (-2, -1) ⇒ D' (-2, 1)
The attachment will help as well.
What is the equation of the parabola, in vertex form, with vertex at (-2,-4) and
directrix x = -6?
O A. (x+2) = 8(y+4)
B. (y+4)2 = - 8(x+6)
O c. (y+4)2 = 16(x+2)
O D.(x+4)² = 8(y+2)
Answer:
Step-by-step explanation:
The distance between the vertex and the directrix is 4 units, that means that p = 4 in the equation
[tex](y-k)^2=4p(x-h)[/tex] and h and k are the coordinates of the vertex. Filling in:
[tex](y+4)^2=4(4)(x+2)[/tex] which simplifies to
[tex](y+4)^2=16(x+2)[/tex] choice C
Option C is correct, (y+4)² = 16(x+2) is the the equation of the parabola, in vertex form, with vertex at (-2,-4) and directrix x = -6
What is Parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
The focus of the parabola is at a point that is equidistant to the vertex and the directrix.
Since the directrix is x = -6, the focus is at (-2+4,-4) = (2,-4).
The vertex form of the equation of a parabola is given by:
(y - k)² = 4p(x - h)
where (h, k) is the vertex and p is the distance between the vertex and focus.
In this case, (h, k) = (-2,-4) and the focus is at (2,-4). Therefore, p = 4.
Substituting the values into the vertex form equation, we get:
(y + 4)² = 4(4)(x + 2)
Simplifying, we get:
(y + 4)² = 16(x + 2)
Hence, (y+4)² = 16(x+2) is the the equation of the parabola, in vertex form, with vertex at (-2,-4) and directrix x = -6
To learn more on Parabola click:
https://brainly.com/question/31142122
#SPJ5
1 of 5
True or false?
The following is a statistical hypothesis:
Smoking damages your health.
Explain your answer in the comment box.
B
A
T
Answer:
True
Step-by-step explanation:
Smoking damages your entire cardiovascular system. Speaking of this Nicotine causes blood vessels to tighten, which restricts the flow of blood. Over time, the ongoing narrowing, along with damage to the blood vessels, can cause *peripheral artery disease*. Smoking also raises blood pressure, weakens blood vessel walls, and increases blood clots.
* Peripheral artery disease is a common circulatory problem in which narrowed arteries reduce blood flow to your limbs
Hope this helps :) Brainliest would be appreciated XD
Solve for x. Round to the nearest tenth, if necessary.
=======================================================
Explanation:
We use the cosine ratio here. Make sure your calculator is in degree mode.
cos(angle) = adjacent/hypotenuse
cos(69) = x/10
10*cos(69) = x
x = 10*cos(69)
x = 3.583679495453 which is approximate
x = 3.6
A point on the ocean floor is 7,842 m below sea level.
Express this elevation as an integer.
The elevation as an integer is □m
Answer:
-7842 meters
Step-by-step explanation:
Since the point is below sea level, it is negative
-7842 meters
A car depreciates in value over time. The following formula represents the value of the car after years. How many years will it take for the car to be worth less than15000 ?
Answer:
no nearve
Step-by-step explanation:
what’s the volume of the prism?
Answer:
48
Step-by-step explanation:
Prism shown: Rectangular prism
Volume of a rectangular prism = width times length times height
Given width: 4
Given height: 3
Given length: 4
Volume = 3 * 4 * 4 = 48
Answer:
We can solve the volume of this prism by using this formula :
[tex]l\times w \times h[/tex]
This would be written as
[tex]4 \times 4 \times 3[/tex]
We would then multiply.
[tex](4 \times 4) = 16[/tex]
[tex]16 \times 3 = 48[/tex]
Then we would get our answer!
[tex]Answer = 48[/tex]
If this helped mark me brainliest!
Will Mark as Brainliest if it's the Best!
OPTION B is the correct answer.
Hope it helps you...
Answer:
option B
Step-by-step explanation:
[tex]4^{\frac{2}{5} } *4^{\frac{-2}{5} }[/tex]
in multiplication if base are same u can add their power (exponent)
[tex]4^{\frac{2}{5} + \frac{-2}{5} } \\[/tex]
here since the denominator of the fraction in exponent are same u can add or subtract their numerator.
[tex]4^{\frac{2-2}{5} } \\4^{\frac{0}{5} } \\4^{0} \\1[/tex]
note: any base with the power 0 is always considered as one.
Select the correct answer.
Date Daily Balance
2-20-2013 -$61.52
2-25-2013 $912.52
2-28-2013 $225.78
3-05-2013 -$228.82
3-06-2013 -$168.55
3-08-2013 $27.58
The table shows the balance in Mr. Wallace's bank account on different dates. On which date was the account balance the lowest?
A.
2-20-2013
B.
2-25-2013
C.
3-05-2013
D.
3-08-2013
Answer:
THE OPTIONAL ANSWER IS D
Step-by-step explanation:
I CHOOSE THAT ANSWER BECAUSE THAT IS THE DAY HE PAYED 27.58 Dollers and all the other days he pays high amount of cash
If my box plot is ranged from 60-64 in height and inches what is the data value is the upper quartile ( q3)
Answer:
[tex]Q_3 = 64[/tex]
Step-by-step explanation:
Given
Box of a box plot with the range: 60 - 64
Required
The upper quartile
To do this, we simply identify the endpoint of the range
Given that the range of the box is 60 to 64.
We have:
[tex]Start = 60[/tex]
[tex]End = 64[/tex]
Hence:
[tex]Q_3 = 64[/tex]
PLZ HELP ILL GIVE BRAINLY!!!1 NO LINKS!!!!!
Find the 9th term in the following arithmetic sequence: 17, 13, 9, 5,...
Hint: Write a formula to help you.
1st term+ common difference(desired term-1)
Answer:
the 9th term would be -15
Step-by-step explanation:
Brette got a new phone! The length of her old rectangular phone screen was 44 centimeters. Her new rectangular phone screen is twice as long as the old screen. How much larger is the area of the new screen than the area of the old screen?
Answer:
2 times larger
Step-by-step explanation:
Area of a rectangle = length x width
assume width = 10
older area = 44 x 10 = 440
new area
length = 44 x 2 = 88
88 x 10 = 880
change in area = 880 / 440 = 2
Zeke owns stock in a high-tech firm. Each share is currently valued at $21 per share, which is 30% less than Zeke paid to purchase it. What did Zeke pay per share?
Answer:
$14.7
Step-by-step explanation:
Zeke owns stock in a high tech firm
Each share is valued at $21
It's is 30% less than the amount it was purchased
Therefore Zeke pay per share can be calculated as follows
= 21× 30/100
= 21×0.3
= 6.3
= 21-6.3
= 14.7
Hence Zeke's pay per share is $14.7
How did Progressives address the problems caused by industrialization?
