Answer:
Nuts= 2.56
Dried fruit= 12.44
Step-by-step explanation:
x + y = 15
5.6 x + 14.25 y = 9.06 * 15
~~~~~~~~~~~~~~~~~~~~~
x = 15 - y
5.6 x + 14.25 y = 134.9
~~~~~~~~~~~~~~~~~~~
5.6(15 - y) + 14.25 y = 134.9
84 -5.6y + 14.25y = 134.9
19.85y - 50.9
y = 2.56
x= 12.44
James invested £2000 for three years in an Internet Savings Account.
He is paid 5.5% per annum compound interest.
Work out the total interest earned after three years
Answer:
£2348.48
Step-by-step explanation:
We can use the “slow method” for this, seeing it’s only 3 years.
£2000 * 105.5% = 2110 * 105.5% = 2226.05 * 105.5% = 2348.48
(105.5% = 1.055, by the way)
After the initial calculation, you can use Ans * 1.055 until you’ve hit the three years.
Find the amount of money in an account after 9 years if $2,600 is deposited at 8% annual interest compounded monthly
Answer:
5328.78
Step-by-step explanation:
formula:
[tex]P(1+\frac{i}{n})^{n*t}\\2600(1+\frac{.08}{12})^{12*9}\\\\2600(1.006667)^{108}=5328.77861305[/tex]
this rounds to 5328.78
Sylvia is twice as old as her brother. Find their ages now if in seven years her brother will be what her age was last year.
Answer:
Sylvia=16
brother=8
Step-by-step explanation:
8+7=15
16-1=15
If the value of a in the quadratic function f(x) = ax^2 + bx + c is -2, the function will_______.
a open down and have a minimum
b open down and have a maximum
c open up and have a maximum
d open up and have a minimum
Answer:
b open down and have a maximum
Step-by-step explanation:
A negative value for a will make the quadratic function open down
A downward facing parabola will have a maximum
Hurry which one ITS NOT 270
A.84
C.128
D.540
Answer:
84 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 ( 5+9) * 12
A = 1/2 (14) * 12
A =84
There are 20 rows of seats on a concert hall: 25 seats are in the 1st row, 28 seats on the 2nd row, 31 seats on the third row, and so on. How many seats are in the last row?
Answer:
It is a sequence topic.
The general term of the sequence is 25+3(n-1) where n is the number of the term (here it is the row no.)
So the 20th term is the term with n=20. Substitute n=20 into the above general term, we will get 25+3(20-1) .
Please go on by yourself to work out the answer.
Complete the remainder of the table for the given function rule:
Y=3x-5
[X] -6 -3 0 3 6
[Y] -23 ? ? ? ?
answer is
(Y)=-23,-14, -5,4,13
hope this will help you
I was wondering if anyone could answer this :)
Step-by-step explanation:
The sides with the variables are the same length, so make them equal.
x+2=2x-3
Get x alone on one side.
5=3x
Simplify.
5/3 = x
Answer:
5
Step-by-step explanation:
x+2 = 2x-3
+3 +3
x+5 = 2x
-x -x
x=5
Hope this helps! :)
how to find the area of a circle with the diameter 21
Answer:
A ≈ 346.36
Step-by-step explanation:
To find the answer, you must use the formula, A=πr²
Since only the diameter was provided, you need to divide it by 2 to find the radius. 21 divided by 2 equals 10.5, so that will be your radius.
Another formula that can be used while using only the diameter would be A= 1/4 π d²
2) When Janet put her marble collection in groups of 7 there were two marbles left over, when she put them in groups of 5 there were 3 marbles left over. What is the fewest number of marbles that Janet could have had in her collection?
Answer:
23 marbles
Step-by-step explanation:
3 groups of 7 = 21 +2 = 23
4 groups of 5 = 20 +3 = 23
D(p) is the price, in dollars per unit, that consumers are willing to pay for p units of an item, and S(p) is the price, in dollars per unit, that producers are willing to accept for p units. Find the equilibrium point. D(p)=3500−20p, S(p)=2500+5p
What are the coordinates of the equilibrium point?
Answer:
(40,2700)
Step-by-step explanation:
Given
[tex]D(p)=3500-20p[/tex]
[tex]S(p)=2500+5p[/tex]
Required
The equilibrium point
To do this, we have:
[tex]D(p) = S(p)[/tex]
So, we have:
[tex]2500+5p = 3500-20p[/tex]
Collect like terms
[tex]20p+5p = 3500-2500[/tex]
[tex]25p = 1000[/tex]
Divide both sides by 25
[tex]p = 40[/tex]
Substitute [tex]p = 40[/tex] in [tex]D(p)=3500-20p[/tex]
[tex]D(40) = 3500 - 20 * 40[/tex]
[tex]D(40) = 2700[/tex]
Hence, the coordinates of the equilibrium is: (40,2700)
given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2
Answer:
We can write sin x in terms of tan x/2 using the formula:
⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))
Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.
⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))
Now, if we replace tan (x/2) by y, we get a quadratic equation:
⇒ 0.8y2 + 2y + 0.8 = 0
⇒ 2y2 + 5y + 2 = 0
By using the quadratic formula, we get y = -0.5, -2
Hence, the value of tan (x/2) = -0.5, -2
Now, we have two solutions of tan (x/2).
Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).
For tan (x/2) = -0.5:
⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3
It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.
Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.
Now let's check for tan (x/2) = -2.
⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3
Here, we get tan x = 4/3 which is positive.
Hence, we can say that tan (x/2) = -2 is a correct solution.
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.
Let u= (5,-12) and c=-3.What is ||cu||?
A: -39
B: 21
C: 39
D: 51
Answer:
Option C: 39
Step-by-step explanation:
I'm good at math :)
=========================================================
Work Shown:
u = (5, -12)
cu = c*(5,-12)
cu = (5c, -12c)
cu = (5*(-3), -12*(-3))
cu = (-15, 36)
-------------------
Now we'll use the idea that if u = (a,b), then |u| = sqrt(a^2+b^2)
So this means,
cu = (-15, 36)
|cu| = sqrt( (-15)^2 + (36)^2 )
|cu| = sqrt(1521)
|cu| = 39
---------------------
Note how vector u = (5,-12) has magnitude 13 after applying that formula above. We have a 5-12-13 right triangle. If we triple each side, then the 5-12-13 becomes 15-36-39
Tripling the components of the vector means the length of the vector has been tripled.
I need help with this math question
Answer:
the scale factor is 3. hope this helps
Answer:
3
Step-by-step explanation:
you can set up a ratio using corresponding parts from each triangle.
or
notice the change from 3 to 9 is by multiplying 3 x 3
the change is the same for all : 3 x 4 = 12 , 3 x 5 = 15
ratio way
[tex]\frac{new}{old\\}[/tex] = [tex]\frac{9}{3}[/tex] = 3
Determine the equation of the circle graphed below.
Answer:
(x - 6)^2 + (y + 4)^2 = 4
Step-by-step explanation:
formula for a circle
( x - h )^2 + ( y - k )^2 = r^2
(h,k) is the center
r is the radius
(6,-4) is center
2 is radius
Substitute in numbers and watch the negatives.
One of the legs of a right triangle measures 15 cm and the other leg measures 6 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
16.2 cm
Step-by-step explanation:
use the pythagoran theorem
a² + b² = c²
15² + 6² = c²
225 + 36 = c²
261 = c²
Take the square root of both sides
16.1554944214 = c
Rounded
16.2 cm
HELP WOULD BE APPRECIATED
Solve for n
n - 21 = 3
OA) n=45
OB) n=52
Oc) n= 24
OD) n= 19
Answer:
option C. n = 24
Step-by-step explanation:
n - 21 = 3
n - 21 + 21 = 3 + 21 [adding 21 on both sides ]
n + 0 = 24 [ -21 + 21 = 0 ]
n = 24
Exponential Growth
You are a financial advisor You have a client who is 25 years old and has $10,000 they want to invest into a retirement account. After investing this money, the client will not be adding any money to the account. The money will just let it grow until the client reaches age 65 As you are helping them decide the best investment for their money, you discover the following options.
I also need account C and account D
help me please
Answer:
compounded daily as this added up would be the best
Step-by-step explanation:
Can someone Help me please.?
Answer:
Option D
Hope this helps!
Find the surface area of the square pyramid 8mm 6mm
Answer:
136 mm²
Step-by-step explanation:
[tex]A=a^{2} +2a\sqrt{\frac{a^{2} }{4} } +h^{2}[/tex]
[tex]A=6^{2} +2(6)\sqrt{\frac{6^{2} }{4} } +8^{2}[/tex]
[tex]A=36 +12\sqrt{\frac{36 }{4} } +64[/tex]
[tex]A=36 +12\sqrt{9 } +64[/tex]
[tex]A=36 +12(3)+64[/tex]
[tex]A=36 +36+64[/tex]
A = 136
Consider this right triangle. What is the value of sin(B)?
Answer:
[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
using SOHCAHTOA
[tex]sin = \frac{opposite}{hypoteneus} [/tex]
Therefore
[tex]sin = \frac{3}{5} [/tex]
The value of sin B is 3/5.
What is Trigonometry?Trigonometry is one of the branches of mathematics which deals with the relationship between the sides of a triangle (right triangle) with its angles. There are 6 trigonometric functions for which the relation between sides and angles are defined.
We have,
P = 3
B = 4
H = 5
Using Trigonometry
sin B = P /H
sin B = 3/5
Thus, the value of sin B is 3/5.
Learn more about Trigonometry here:
https://brainly.com/question/29002217
#SPJ2
Draw a model to represent each expression.
Answer:
OK
Step-by-step explanation:
The first screenshot is for #7 and the second screenshot is for #8
. Seja (G, ·) um grupo tal que para todo x ∈ G temos x
2 = eG. Mostre
que G ´e abeliano.
4x-2 3x+14 how do I find x?
Answer:
x = 16
Step-by-step explanation:
4x - 2 = 3x + 14
4x - 2 + 2 = 3x + 14 + 2
4x = 3x + 16
4x - 3x = 3x - 3x + 16
x = 16
Suppose that for a certain company C(x)=35x+300,000 represents the total cost function, and R(x)=75x represents the total revenue function. Find the total-profit function and break-even point.
Which of the following functions represents the total-profit function?
A) 40x-300,000
B) 40x+300,000
C) 110x+300,000
Answer:
40x - 300,000
7,500
Step-by-step explanation:
profit = revenue - cost
p(x) = 75x - (35x + 300,000)
p(x) = 40x - 300,000
Break even is when profit is zero
40x - 300,000 = 0
40x = 300,000
x = 7,500
The functions that represents the total-profit function would be p(x) = 40x - 300,000. so the correct option is A.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given that for a certain company C(x) =35x+300,000 represents; the total cost function, and R(x)=75x represents the total revenue function.
WE can calculate the profit by the following formula;
Profit = revenue - cost
p(x) = 75x - (35x + 300,000)
p(x) = 40x - 300,000
Now Break even is when profit is zero,
40x - 300,000 = 0
40x = 300,000
x = 7,500
Hence, the break-even point is 7500.
Therefore, the functions that represents the total-profit function would be p(x) = 40x - 300,000. so the correct option is A.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
Which table represents a linear function?
Answer:
Option 3 (C)
Step-by-step explanation:
It is the only one that changes the same amount every time ( times 2 )
show how to solve 1/4 (4 + x) = 4/3
pls solve for 2 brainliest
Double a number and subtract nine. algebraic expression
Answer:
2y - 9
Step-by-step explanation:
number = y
2 × y - 9
2 × y can be simplified to 2y.
2y - 9
Analyze the diagram below and complete the instructions that follow.
Answer:
C).
[tex]= \sqrt{ {16}^{2} + {30}^{2} } \\ = \sqrt{1156} \\ = 34 \\= \sqrt{ {34}^{2} + {5}^{2} } \\ = \sqrt{1181} \\ = 34.37[/tex]
A right cone has a radius of 5 cm and an altitude of 12 cm. Find its volume.
A)
300 cm3
B)
64.1 cm3
C)
942.5 cm3
D)
314.2 cm3
Answer:
D. V=314.2cm³
Step-by-step explanation:
The volume of the cone is:
V=pi×r²×h/3=pi×5²×12/3=100×pi=314.2cm³
Answer: D) 314.2 [tex]cm^3[/tex]
Step-by-step explanation:
The formula for finding the volume of a right cone is [tex]V=\pi r^2\frac{h}{3}[/tex]
r is the radius and h is the height/altitude.
We can sub these values in and solve
[tex]V=\pi (5^2)(\frac{12}{3} )\\V=\pi (25)(4)\\V=100\pi[/tex]
Let's sub in 3.14 for [tex]\pi[/tex] since that is a close estimate
[tex]V=(100)(3.14)\\V=314[/tex]
The volume is about 314.
Our closest answer to that is D so that is the correct choice.
