Answer:
Php 6500
Step-by-step explanation:
Assuming simple interest, the value after 2 years is ...
A = P(1 +rt) . . . . . value of loan of principal P at annual rate r for t years
A = 5000(1 +0.15·2) = 5000(1.30) = 6500
The maturity value will be Php 6500.
the Following table shows alexandra's investment options over the course of three years. Her initial investment was $1,000 . write one function for each option to describe the value of the investment f(n), in dollars, after n years.
The pattern in the given series of amount in the account are in the form of
arithmetic and geometric progression.
The function for Option 1 is; [tex]\underline{ f(n) = 1,100 + (n - 1) \cdot 100}[/tex]The function for Option 2 is; [tex]\underline{f(n) = 1,100 \times 1.1^{(n - 1)}}[/tex]Reasons:
The given table of values is presented as follows;
[tex]\begin{tabular}{c|c|c|c|}Number of years&1&2&3\\Option 1 (Amount in dollars)&1,100&1,200&1,300\\Option 2 (Amount in dollars)&1,100&1,210&1,331\end{array}\right][/tex]
In Option 1, the amount in dollars for each year has a common difference of d = 100
The first term, a = 1,100
Therefore;
The Option 1 can be represented as an arithmetic progression , A.P. in the
form, tₙ = a + (n - 1)·d as follows;
For the Option 1, we have;
The amount in dollars after n years, [tex]\underline{ f(n) = 1,100 + (n - 1) \cdot 100}[/tex]For Option 2, it is possible to find;
1,331 ÷ 1,210 = 1,210 ÷ 1,100 = 1.1
Therefore;
The terms in the Option 2 have a common ratio of r = 1.1
The Option 2 is a geometric progression, G.P.
The first term in Option 2 is a = 1,100
Which gives, the nth term, tₙ = a·r⁽ⁿ ⁻ ¹⁾
Therefor;
The function for the Option 2 is; [tex]\underline{f(n) = 1,100 \times 1.1^{(n - 1)}}[/tex]Learn more about arithmetic and geometric progression here:
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Last Tuesday was silly hat day at Molly's school. 90 students wore a silly hat and 810
students did not. What percentage of the students wore a silly hat?
Write your answer using a percent sign (%).
How do u Keep change change this number???
1.3 - -300=????
I don’t know what to do
1+1=3 proof
needs step by step explanation
Answer:
1+1=3, See explenation
Step-by-step explanation:
1+1=2 but thats basically 2.1 because whole numbers are boring, but 2.1 is basically 2.2 because we want it as an even number, but 2.2 is basically 2.3 because 2.3 is the luckiest number, which is basically 2.5 if you think about it because 2.3 looks like 2/3 and two thirds can't be a whole (which is why we say 3/3 instead of 2/3) and 2.5 rounded up is 3. So thats how 1+1=3
What is the solution set for x^2 - 2x - 15 = 0
A. {-5, -3}
B. {5, -3}
C. {3, 5}
D. {-3, 5}
Answer:
B
Step-by-step explanation:
I have done this before
help please.
with the steps
on image.
Answer:
T(n) = 3n² - 4-189 doesn't belongStep-by-step explanation:
Given sequence:
-1, 8, 23, 44, 71The first differences:
9, 15, 21, 27The second differences:
6, 6, 6If the sequence is T(n) = an² + bn + c, we have:
2a = 6 ⇒ a = 3Using the first and second differences work out the value of zero term:
9 - 6 = 3-1 - 3 = -4This gives us c = - 4
Now we have:
T(n) = 3n² + bn - 4The first term is T(1) = -1, substitute n = 1 and find the value of b:
3(1²) + b*1 - 4 = - 13 + b - 4 = - 1b = 0The nth term is:
T(n) = 3n² - 4Now lets find if -189 belongs to this sequence:
- 189 = 3n² - 43n² = - 185The left side is positive and the right side is negative so the answer is also negative
Each week, the price of oranges at the farmer's market increases by 20%.
The price of oranges this week is $4.50.
What was the price last week?
Answer:
3.6? I don't really know
Which values of k would cause this system of equations to have no solution? Check all that apply. 6x 4y = 14, 3x 2y = k â€"2 5 7 10 21.
The values of k that will cause the system of equations to have no solution is; k = 7 and 21
We are given the simultaneous equations;
6x - 4y = 14
3x - 2y = k
Now, for both equations not to have a solution it means that x and y can't be made to be subjects.
Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.
By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.
Thus;
2k = 14
k = 14/2
k = 7
Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.
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Answer:
-2, 5, 10, 21
A, B, D, E
The two parallel sides of a trapezium are 19.8 and 7.2 and its area is 135 cm²..find its height
Answer:
10cm
Step-by-step explanation:
the formula for an area of a trapezium:
[tex] \frac{(a + b) \times h}{2} = area[/tex]
where a and b are the parallel sides and h is the height. equating what we have:
[tex] \frac{(19.8 + 7.2) \times h}{2} = 135[/tex]
simplify the numerator by adding 19.8 and 7.2=27
[tex] \frac{27h}{2} = 135[/tex]
multiply both sides by 2
[tex]27h = 270[/tex]
divide both sides by 27
[tex]h = \frac{270}{27} = 10[/tex]
the height is 10cm
How do I solve this?
May I please receive help?
Answer:
24°
Step-by-step explanation:
(4y-4)+(180-52)+3y = 180°
4y-4+128+3y = 180
7y+124 = 180
7y = 56
y = 8
SO ∠x = 3y
∠x = 3(8)
∠x = 24
Answer:
24
Step-by-step explanation:
to find the measure of angle X we must first find y
An exterior angle of a triangle is equal to the sum of the opposite interior angle
angle wyz is an exterior angle and the opposite interior angles are w and x
this means that angle wyz = angle w + angle X
if angle wyz = 52 , angle X = 3y and angle w = 4y-4 then 52 = 3y + 4y - 4
note that we just created an equation that we can use to solve for y
we now solve for y using the equation we just created
52 = 3y + 4y - 4
combine like terms
52 = 7y - 4
add 4 to both sides
56 = 7y
divide both sides by 7
we're left with y = 8
Now to find the measure of angle X we simply plug in the value of y into 3y because angle X = 3y
angle X = 3y
y = 8
angle X = 3(8)
multiply 3 and 8 to get 24
angle X = 24
and we are done!
4 1/2 x 5 Multiply and answer with a mixed number in the simplest form.
Answer:
[tex]22\frac{1}{2}[/tex]
Step-by-step explanation:
(4.5)(5) = 22.5
[tex]22.5 = 22\frac{1}{2}[/tex]
Jenna has 38 coins. She uses 19 coins to buy a notebook. How many coins does she have left?
Explain how you can solve and check this problem.
Answer: 19 coins
Step-by-step explanation:
38-19=19
To check, take any one of the nubers and replace it with x, and when you solve for x. you'll get that number back. For example:
Let x represent the amount used to buy a notebook
19+x=38
x=38-19
x=19
Smallest Positive fraction
Answer: 1/5?
Step-by-step explanation:
What is the end behavior of the function shown in the graph above?
A
As x approaches 0, y approaches 15.
As x approaches 25, y approaches 0.
B
As x approaches∞, y approaches 0.
As x approaches −∞, y approaches ∞.
C
As x approaches 0, y approaches ∞.
As x approaches ∞, y approaches −∞.
D
As x approaches ∞, y approaches 0.
As x approaches ∞, y approaches ∞.
Answer:
B
Step-by-step explanation:
if 240 slices of cake are shared into the same ration 3:5 among the boys and girls how many slices will each students recieve
Let a and b be real numbers where ab+0. Which of the following functions could represent the graph below?
O f(x) = x(x – a)3(x – b) 3
O f(x) = (x – a)2(x – 614
O f(x) = x(x – a) (x – 5)2
O f(x) = (x – a)5(x – b)
The following functions could represent the graph below then the correct option is B; y = (x - a)^2 (x - b)^4.
What is graph ?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
we have given that a and b are real numbers different than zero.
From the graph, we can see that the line touches the x-axis in two values.
Now, if we would have an equation such as:
y = x(x - a)^3 (x - b)^3
then when x = 0
y = 0(0-a)^3 (0-b)^3
y = 0
But in the graph, we can see that when x = 0, the value of y is different than zero,
(For example, if x > a and x < b we would have a negative value for y)
Then the correct option is B ;y = (x - a)^2 (x - b)^4
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hidffhhhhhhhhhhhhhhhhhhhhhhhhhd
Dividing 3/5 into what number gives you 20
Answer:
12
Step-by-step explanation:
Set up equation like this with x being the number
X / (3/5) = 20
X * (5/3) = 20
so multiply both sides by 3/5 so
X = 20 (3/5)
therefore,
X = 12
we can check to make sure this is right by plugging it back in:
12 / (3/5) = 20 so it is true
What is the volume of a sphere with a radius of 5.9 inch rounded to the nearest 10th of a cubic inch
Answer:
860.3
Step-by-step explanation:
43·π·5.93≈860.28954in³
860.28954 = 860.3
The volume of the sphere is V = 859.9 inches³
What is a Sphere?A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the radius of the sphere be r = 5.9 inches
Now , Volume of a Sphere = ( 4/3 ) πr³
On simplifying , we get
V = ( 4/3 ) ( 3.14 ) ( 5.9 )³
V = 859.853 inches³
Hence , the sphere has volume of 859.9 inches³
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I need help on this question. please help me.. I don't have idea on this.
Answer:
D.
Step-by-step explanation:
5(-4 +10) × 4.8 ÷ [tex]\frac{3}{4}[/tex]
5(6) × 4.8 ÷ [tex]\frac{3}{4}[/tex]
30 × 4.8 ÷ [tex]\frac{3}{4}[/tex]
30 × 4.8 × [tex]\frac{4}{3}[/tex]
_________________________________
Hope this helps!!
If I have made a mistake, please let me know; I enjoy leaning from them:)
Answer:
Step-by-step explanation:
The function f is given by f(x) = (x + 3)^2 - 1.
1) Write the coordinates of the vertex of the graph of f.
2) Does the graph open up or down? How do you know?
Answer:
the coordinate of the vertex is going to be (-3,-1) and it's concave up
Step-by-step explanation:
1.notice this function is in graphing form (x-h)^2+k, where (h,k) is your coordinate of the vertex, hence in this problem it's going to be (-3,-1)
2. notice that this function have a parent function of x^2, where it's a parabola that is concave up which in this case is basiclly the same shape it's also concave up
In calculus, we can proof it by finding the first derivatives and find the critical points, then take the second derivative at that critical points to see if that's negative or positive in this case it's positive
Can i get some help :
The store owner is adding cost, so we will use addition. The answers should be as follows:
[] c + $3.49 = $9.84
[] c = $6.35 <- subtract $3.49 from both sides of the equation
[] Solution of answer represents the old cost of the toy.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
14. The number of customers that a small
restaurant serves increases by 25% each
week. The restaurant served 400 customers
the first week it was open.
How many customers did the restaurant
serve during the third week?
Answer:
625
Step-by-step explanation:
ok so, 25% of 400 is 100 since 25 is 1/4 of 100 just like 100/400. Now, we do 100+ 400 for the second week which is 500. Now, 500 divided by 25 is next and if we had 4 boxes wed be able to fit 100 in each and the last 100 is split so 100 divided by 4 is 25. so we add 25 to each box. Now we have 125 in each box. so thats it divided by 25% or 1/4. 125 + 500 is 625 and thats your awnser. Have a good day!
Each box of candy canes has 12 candy canes. How much does each candy cane cost?
Based on the information given, the cost of each candy cane will be $3.00.
This is an incomplete information as you didn't provide the cost of the box. Let's assume that the cost of the box is $36.
From the information given, we are told that each box of candy canes has 12 candy canes. Therefore, the cost of each candy cane will be:
= $36 / 12
= $3.
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468 divided by 3 step by step solution
Answer:
156Step-by-step explanation:
468 ÷ 3
= 156
hope u liked the answer :)
#keep learningRound 9.46 to the nearest tenth.
Answer:
9.50
Step-by-step explanation:
9.46 to the nearest tenth is 9.50,
wherever there is a th after the value name it is the right hand side of the decimal point that you need to round to.
Hope this helps!
Answer 9.5
Step-by-step explanation: i think-
Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S = 5.1 + 1.5 x estimates the amount of sales ( S ) of statin in billions of dollars x years after 1998.
Billy has a $40 gift card. She spends $10 per week. Write a linear equation for this situation.
(Hint: Use y = mx + b, where y is money remaining, m is loss per week, and b is the starting money.)
Please help me with this math problem!! NO LINKS PLEASE!! IT'S DUE TONGIHT AT 11:59PM!! :)
Answer:
∆L = 51°
∆Y = 28°
∆B = 101°
∆U = 51°
UG = 10.66666
BG = 4x