Answer:
Step-by-step explanation:
What you have here is an equation with two roots. The "product" is (x + 3)(x - 3), which comes out to x^2 - 9.
Thus, you have x^2 - 9 = 7, or x^2 - 16 = 0, and the roots of that are {-4, 4}.
6. Geeta borrowed. * 15.000 for 18 months at a
certain rate of interest compounded semi-
annually. If at the end of six months it
amounted to 15.600; calculate :
(i) the rate of interest per annum.
(ii) the total amount of money that Geeta
must pay at the end of 18 months in
order to clear the account.
Answer:
i) 8%
ii) 16,872.96
Step-by-step explanation:
A) Since she borrowed 15000 and at the end of six months it amounted to 15600. What it means is that;
Interest; i = 15600 - 15000 = 600
Now,formula for rate of interest is;
R = (100i)/(Pt)
Where;
i = 600
P is amount borrowed = 15000
t is time period compounded. Since it's compounded semi annually, then t = ½
Thus, from PRT/100 = i, we can find R as;
R = (100 × 600)/(15000 × (6/12))%
R = 8%
B) After 12 months, which is another semi annual period after 6 months, the Interest will now be;
15600 × 8% × (6/12) = 624
Thus, amount due at this point is 15600 + 624 = 16224
After 18 months which is another semi annual period after 12 months, the Interest will now be;
16224 × 8% × (6/12) = 648.96
Thus, amount due at this point is 16224 + 648.96 = 16,872.96
In this polygon, which angle is an exterior angle?
The angle in the polygon that is an exterior angle is: angle A.
What is an Exterior Angle of a Polygon?An exterior angle of a polygon is an angle that is formed outside the polygon at the point where a side of the polygon extends. Sum of all exterior angles of any polygon equals 360 degrees.
Angle A in the polygon given is formed at the point where a side of the polygon extends out. Therefore, the angle that is an exterior angle is: angle A.
Learn more about exterior angle on:
https://brainly.com/question/2546141
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What is the y-intercept of the function f(x)=4 – 5x?
A:-5
B:-4
C:4
D:-5
Answer:
C. 4
Step-by-step explanation:
Rewrite the equation in terms of y = mx + b
f(x) = -5x + 4
How many packs of batteries can you buy with $39.78 if one pack costs $6.63?
Answer: you can buy 6 of them because 39.78 divided by 6.63 equals 6.
Step-by-step explanation:
Answer:
6 packs of batteries
hope it helps
pls anwer number 9 pwees anwer pwees
la respuesta es 56
por que es : 6 personas por 5$ para la entrada lo cual es 30 , y por la comida es 6 personas por 6$ lo cual es 36 y el cupon se le resta 10 y eso da a 30$ + 36$-10 y eso da 56
Answer:
To translate the other guy
Step-by-step explanation:
the answer is 56
Because it is: 6 people for $ 5 for the entrance which is 30, and for the food it is 6 people for $ 6 which is 36 and the coupon is subtracted 10 and that gives $ 30 + $ 36 -10 and that makes 56
Please help I can’t move on to the next question until I submit this one I have 25 minutes
Answer:
Option (D)
Step-by-step explanation:
Linear equations are in the form of y = mx + b
Here, m = slope of the linear function
b = y-intercept
Quadratic function → y = ax² + bx + c
By these properties, y - 6 = x² represents the quadratic equation which is non linear.
Therefore, Option (D) will be the correct option.
30% of 50
what’s the easiest and fastest way to solve it?
Answer:
15
Step-by-step explanation:
change the percent to a decimal
30% to .30
.30 x 50= 15
if 4x-y/2x+y=5/3, then x/y=?
Answer:
[tex]\frac{x}{y}[/tex] = 4
Step-by-step explanation:
Expressing in fractional form, that is
[tex]\frac{4x-y}{2x+y}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
3(4x - y) = 5(2x + y) ← distribute both sides
12x - 3y = 10x + 5y ( subtract 10x from both sides )
2x - 3y = 5y ( add 3y to both sides )
2x = 8y ( divide both sides by 2 )
x = 4y ( divide both sides by y )
[tex]\frac{x}{y}[/tex] = 4
Answer:
[tex] \boxed{ \frac{x}{y} = 4}[/tex]
Step-by-step explanation:
[tex]if \: \frac{4x-y}{2x+y}=\frac{5}{3}, \: then \: \frac{x}{y} = : \\ 3(4x - y) = 5(2x + y) \\ 12x - 3y = 10x + 5y \\ 2x = 8y \\ \frac{2x}{y} = 8 \\ \frac{x}{y} = 4[/tex]
Which type of data is best represented using a line plot?
data that changes over time
data that is spread out over a large range of numbers
frequency data that can be plotted under categorical headings
frequency data that can be plotted on a number line
Answer:
Aa 1
Step-by-step explanation:
What formula do i use when it tells me to find the area with a given circumference? If you know please give an example as well, thank you.
Answer:
Step-by-step explanation:
A = C^2 / 4 x pi
so if the circumfernce was 10 you would square it to make it 100 and then you would do 4 x pi to get 12.57 ( rounded).
you would then just divide 100 by 12.57 = 7.96 ( rounded)
hope it helped
Please help I will give 50 points
9 to 14
HELLLLLPPPPPP
Answer:
Didi sweet Didi mark me brain list please
Slope-intercept from two points
Complete the equation of the line through (-8.8) and (1,-10).
Answer:
y=− 2x−8 is the equation
Step-by-step explanation:
equation for slope is y=mx+b the y intercept is -8 and the slope is -2
what mistake was made and what you suggestion to give me to avoid the mistake again
marking brain list
next question is worth 100 points don’t use this anymore just need help on these
Answer:
The mistake made is the line of Best Fit is not drawn through any points on the graph. A way to avoid the mistake is to think "Okay, where are most of the points located?" Then find that area, and draw a line through the points that would connect to form a straight line.
Hope this helps!
Dan buys a car for £700.
It depreciates at a rate of 5.5% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate
Need help on this pls
Find the area of the figure and type your result in the empty box. 4 cm 4 cm
Graph quadrilateral abcd whose vertex matrix is shown below. Then graph the dilation of quadrilateral abcd with a scale factor of 3 on the same coordinated grid. Quadrilateral abcd with vertex matrix -1 5 5 -4
2 5 3 -1
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of an object.
Given the vertex matrix of quadrilateral ABCD as:
[tex]\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right][/tex]
Therefore the vertex of quadrilateral ABCD is at A(-1, 2), B(5, 5), C(5, 3) and D(-4, -1).
Quadrilateral ABCD is dilated by a scale factor of 3 to produce quadrilateral A'B'C'D'.
Hence, the vertex matrix of quadrilateral A'B'C'D' is:
[tex]3\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right]=\left[\begin{array}{cccc}-3&15&15&-20\\6&15&9&-3\end{array}\right][/tex]
Therefore the vertex of quadrilateral A'B'C'D' is at A'(-3, 6), B'(15, 15), C'(15, 9) and D'(-20, -3).
The correct option is figure A
Which number represents the mode?
8,10,12,14,16,18,20
Answer:
none
cz there's no no. that repeats itself
You have deposited SEK 10,000 in an account that gives 2% interest every year. How much have you received in interest after two years?
Answer:
404
Step-by-step explanation:
2% of 10000 = 200 in the first year, setting your account to 10200
2% of 10200 = 204 in the second year, setting your account to 10404
In the total of 2 years, you received 404 extra
Answer:
Deposite amount (P) = 10000
Interest ( R) = 2%
Years (T) = 2
Formula
S.I =PRT÷100
S.I =10000×2×2÷100
S.I =40000÷100
S.I =400
You have received interest after 2 years =400
Step-by-step explanation:
A bicycle store costs $2600 per month to operate. The store pays an average of $55 per bike. The average selling price of each bicycle is $95. How many bicycles
must the store sell each month to break even?
Answer:
58
Step-by-step explanation:
95 - 55 = 45
2600 / 45 = 57.77778.....
Because you can't sell 0.777778 of a bike you instead sell 58
I need help in this question
Answer:
a) £105 300
b) £132 300
Step-by-step explanation:
a) 2700*39=105 300
b) 2700*49=132 300
Look at the image of the two hangers. Based on the image, what is one thing that must be true? What is one thing that could be true? What is one thing that cannot possibly be true?
Answer:
One thing that must be true is that the objects will cause some leaning because their masses are unequal, judging from the volume that the objects can hold. One thing that could be true is that the triangle could be heavier than the square, leading to a leaning toward the left. The second pic cannot be true, for there are too much mass concentrated on one side to maintain equilibrium.
Someone help me ASAP!!!! I need this ASAP!!!!
One night, it is 24LaTeX: ^\circ
∘
C warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites, what is the temperature in Tucson?
PLEASE ANSWER QUICK!!!!!!!!!
Answer:
[tex]T^\circ = -12^\circ[/tex]
Step-by-step explanation:
Given
Represent the temperature in Tucson with T and that in Minneapolis with M.
From the first statement, we have:
[tex]T^\circ = M^\circ - 24^\circ[/tex]
From the second, we have:
[tex]T^\circ = -M^\circ[/tex] or [tex]M^\circ = -T^\circ[/tex] --- i.e. both are opposite numbers
Required
Find T
To calculate T, substitute -T for M in [tex]T^\circ = M^\circ - 24^\circ[/tex]
This gives:
[tex]T^\circ = -T^\circ - 24^\circ[/tex]
Collect Like Terms
[tex]T^\circ +T^\circ =- 24^\circ[/tex]
[tex]2T^\circ =- 24^\circ[/tex]
Make T the subject
[tex]T^\circ =- 24^\circ/2[/tex]
[tex]T^\circ = -12^\circ[/tex]
Hence, the temperature in Tucson is [tex]-12^\circ[/tex]
Given: AB=AC m∠1=m∠2 AC=15, DC=5 Find: BD, AB
Answer:
AB = 15
BD = 5
Step-by-step explanation:
Statement__________________| Reason______________
1) m<1 = m<2, AB = AC | Given
2) AD = AD | Reflexive property
3) ΔABD = ΔADC | Side - angle - side
4) AB = AC = 15 | Corresponding part of congruent triangles . | are congruent
5) BD = DC = 5 | Corresponding parts of congruent triangles . | are congruent
Answer:
BD = 5, AB = 15Step-by-step explanation:
AB = AC and AC = 15 (both given)
⇒ AB = 15AB≅AC, ∠1≅∠2, AD≅AD (first two given and the last one is the common side)
⇒ ΔABD ≅ ΔACD by SASBD≅DC as corresponding sides
BD = DC and DC = 15
⇒ BD = 513.089 ÷ 1000 tell me the answers
Answer:
the answer is below
Step-by-step explanation:
0.013089
Answer: 0.013089
Step-by-step explanation:
Alyssa opens a savings account with $6. She saves $5 each week. The table Represents her account balance. Decide whether the table represents a linear function or a non linear function.
If 20% of a number is 10, what is the whole number?
Answer:
100
Step-by-step explanation:
20%-10
20%*5=100%--10*5=100
Answer:
the starting number is 100
14. greater than a number g is 32
Answer:
g = 18
Step-by-step explanation:
14 + g = 32
g = 32 - 14
g = 18
Hope that helps!
Huixian needs to pack 171 pens 63 pencils and 27 erasers find the number of each item in a gift bag
Answer:
19 pens, 7 pencils, 3 erasers
Step-by-step explanation:
Huxian needs to pack 171 pens
63 pencils
27 erasers
Hence the items can be divided in 9 bags
171/9
= 19
63/9
= 7
27/9
= 3
They can be packed in each bags as follows
19 pens
7 pencils
3 erasers