Answer:
About 13 students
Step-by-step explanation:
30*45%=13.5
13.5<14
the repayment on a loan was Php 23600. If the loan was for 18 months at 12% interest in year, how much was the principal?
If the repayment on a loan was Php 23600, the principal amount is equal to Php 131,111.11.
Given the following data:
Interest rate = 12%Simple interest = Php 23600Time = 18 monthsConversion:
12 months = 1 year
18 months = 1.5 year
To calculate the principal amount if the interest rate is 12% a year:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making P the subject of formula, we have:
[tex]P = \frac{100S.I}{RT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]P = \frac{100 \times 23600}{12 \times 1.5}\\\\P = \frac{2360000}{18}[/tex]
Principal amount, P = Php 131,111.11
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Deon's gas tank is 1/5 full. After he buys 13 gallons of gas, it is 7/10 full. How many gallons can Deon's tank hold?
Answer/Step-by-step explanation:
We start with the variable "x". Let's call "x" Dan's full tank.
So we know that right now he has 1/5x or 1/5 of a full tank.
After adding 13 gallons, at the end, he has 7/10x, or 7/10 of a full tank
So we start with
(1/5)x + 13 = 7/10x
Let's subtract 1/5x from both sides
13 = 7/10x - 1/5x
Remember, we need to use common denominators to subtract, so 1/3 becomes 2/10
13 = 7/10-2/10x
Now we simplify to get
13 = 5/10x
Multiply the reciprocal of 5/10 to both sides which is 10/5
13 * 10/5= x
Answer is 26 gallons.
Therefore, Deon's tank can hold 26 gallons.
Answer:
26 gallons.
Step-by-step explanation:
7/10 - 1/5
= 7/10 - 2/10
= 5/10 = 1/2.
So the tank holds 2*13 = 26 gallons.
Multiply. Write your answer as a fraction or as a whole or mixed number. 2 1 5 × 2 =
make v the subject of the formula
[tex]T =\dfrac 5{V+1}\\\\\\\implies VT+T = 5\\\\\implies VT = 5-T\\\\\implies V =\dfrac{5-T}T[/tex]
Step-by-step explanation:
One way we can make V the subject of the formulas by rearranging the terms mathematically to get V on one side of the equation and the other terms on the other side:
since T = 5 ÷ (V + 1) [multiply both sides by (V+1)]
T (V + 1) = 5 [divide both sides by T]
(V + 1) = 5 ÷ T [subtract 1 from both sides]
V = (5 ÷ T) - 1 OR [tex]V = \frac{5}{T} - 1[/tex]
If we want the RHS with over a single denominator we can write it as
V = (5 ÷ T) - (T ÷ T) [rewrite 1 in terms of T (T/T)]
V = (5 - T) ÷ T OR [tex]V = \frac{5 - T}{T}[/tex]
A=2a-3b solve for b PLEASE WIKK GIVE BRAINLY
Answer:
[tex]\frac{a}{3} =b[/tex]
Step-by-step explanation:
a = 2a - 3b
→ Minus 2a from both sides
-a = -3b
→ Multiply everything by -1
a = 3b
→ Divide both sides by 3
[tex]\frac{a}{3} =b[/tex]
Answer:
b = 2/3a -1/3A
Step-by-step explanation:
A=2a-3b
Subtract 2a from each side
A-2a=2a-2a-3b
A -2a = -3b
Divide each side by -3
A/-3 -2a/-3 = -3b/-3
-A/3 + 2/3a = b
b = 2/3a -1/3A
Look at screenshot whoever is correct i will mark brainliest
Answer:
y+3=1/5(x+4)
Step-by-step explanation:
Hi, I would recommend that you memorize the point slope formula, as it comes up often in later grades.
Point slope formula is y - y1 = m * (x - x1)
and so since we're given the slope (m), we simply plug it in.
y - y1 = 1/5 * (x - x1)
then we would plug in our x and y
(-4,-3)--> -4 is the x and -3 is the y
y+3=1/5(x+4) double negatives= a positive.
Let me know if you have any questions in the comment ;)
Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the
line 10x + y = 17
Answer:
There are none.
Step-by-step explanation:
No calculus involved:
The line, in slope-intercept form, has equation [tex]y=-10x+17[/tex], ie is always decreasing (easy to spot applying the definition)
Meanwhile, [tex]y=e^{5x}[/tex] is always increasing over its domain.
At no point the tangent will be decreasing.
Let's use calculus
We are to solve the equation [tex]y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2[/tex] which has no real solutions.
plzzz need urgent help I will give brainlist
I just answered the second one on your last published question , so I'm solve the first one :
[tex]2x - y \leqslant 5[/tex]
[tex]x + 2y > 2[/tex]
There are two ways to find the answer I just do it in one of them but let me know if u wanna know the other way .
I'm gonna use the options to see which ordered pair is true in both inequalities which is the answer we r looking for :
Option 1 : ( 1 , - 1 )
[tex]2(1) - ( - 1) \leqslant 5[/tex]
[tex]1 + 2( - 1) > 2[/tex]
So ,
[tex]3 \leqslant 5 \: \: \: \: \: true[/tex]
[tex] - 1 > 2 \: \: \: \: \: false[/tex]
So this is not the correct option ..
_____________________________________________
Option 2 : ( 4 , 1 )
[tex]2(4) - 1 \leqslant 5[/tex]
[tex]4 + 2(1) > 2[/tex]
So,
[tex]7 \leqslant 5 \: \: \: \: false[/tex]
[tex]6 > 2 \: \: \: \: true[/tex]
Nope ...
_____________________________________________
Option 3 : ( 2 , 0 )
[tex]2(2) - 0 \leqslant 5[/tex]
[tex]2 + 2(0) > 2[/tex]
So,
[tex]4 \leqslant 5 \: \: \: \: true[/tex]
[tex]2 > 2 \: \: \: \: \: false[/tex]
Nope....
_____________________________________________
The answer must be Option 4 bcuz there's no more options left but let's check it out :
Option 4 : ( 3 , 2 )
[tex]2(3) - 2 \leqslant 5[/tex]
[tex]3 + 2(2) > 2[/tex]
So,
[tex]4 \leqslant 5 \: \: \: \: \: true[/tex]
[tex]7 > 2 \: \: \: \: true[/tex]
There it is ....
A 10-pound bag of grass seed will cover an area of about 4000 square feet. The relationship between pounds (p) of grass seed and area (a) can be written as a = kp. What is the value of k? what does it represent
Answer:
it represent the 10 pound and 4000 multiply = ans
What's the answer plz help!!!
A line contains the points (-3, -9) and (4, 5). What is the point-slope form of the line?
y + 9 = -2(x + 3)
y - 5 = 3( x - 2)
y - 9 = 2(x + 3)
y + 9 = 2(x + 3)
Answer:
y+9 = 2(x+3)
Step-by-step explanation:
Martin's class has 28 students in it 25 % of those students are homesick today. How many students are home sick
What else is required to prove the triangles are congruent using SAS?
See picture for full problem. Please and thank you so much!
Answer:
<JL congruent <TV
<JU congruent <UL
<TU congruent <UV
Step-by-step explanation:
because they have the same angles and that's my opinion for me
anyone please help me for brainly
Answer:
A.) [tex]f(x)=25x+40[/tex]
Step-by-step explanation:
Answer:
[tex]f(x)=25x+40[/tex]
Step-by-step explanation:
Hope this helps
I have tried to answer this every method I can and I can't solve it
Answer: P1: 17.61 P2: 14.66
Step-by-step explanation:
P1: take total divide by how many numbers used : 229 divided by 13 =17.61
P2: take total divide by how many numbers used : 88 divided by 6= 14.66
Solve for x.
45(x−310)=−214
Enter your answer as a mixed number in simplest form in the box.
x =
The solution to the given equation is x = [tex]305\frac{11}{45}[/tex].
The given equation is 45(x-310)=-214.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
By using distributive property, we get
45x-13950= -214
45x=-214+13950
45x=13736
x=13736/45
x=[tex]305\frac{11}{45}[/tex]
Therefore, the solution to the given equation is x = [tex]305\frac{11}{45}[/tex].
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ6
Find and intercept the slope of this line.
Answer:
The slope is -4. The amount of money left goes down by 4 with each comic book.
Step-by-step explanation:
The answer is D
what should be included in your financial plan to protect assets
Answer:
A trust could protect them. Buying liability insurance or an umbrella policy will also help protect assets in case you get sued.
Step-by-step explanation:
Nathan has a collection of 4,324 toy cars? Him and his friend Nashon divide the cars into rows on Nathan’s
driveway, and they end up with 46 rows. Each row has the same number of cars in it. How many cars are in each
row?
What is the value of x + 2x when x=23?
Answer:
69
Step-by-step explanation:
23*2=46
23+46=69
[tex]x+2x = 3x \\\\\text{when x =23,}~ ~3x = 3(23) =69[/tex]
help will give brainliest
Answer: the answer is line 2
Step-by-step explanation:
How do you find the Remainder when a polynomial in x is divided by a binomial of the form x-r?
Answer:
see explanation
Step-by-step explanation:
If a polynomial f(x) is divided by (x - r) then the remainder is f(r)
Find the surface area of the ball shown to the right
d=20
Answer:
Surface Area = 1,256 cmSolution:
formula: Surface Area of a Sphere: 4π · r²
Surface area = 4π · r²
SA = 4(3.14) (10)²
SA = (12.56)(100)
SA = 1,256
25. Save the simultaneous equations 2x-y=4;x+y=5
Answer:
x = 3
Step-by-step explanation:
2x - y = 4
x + y = 5
y = 5 - x
2x - (5 - x) = 4
2x + x - 5 = 4
3x = 9
x = 3
Solve.
−4 3/4=x−1 1/5
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
X= ??
4^4+400÷(4+6^2)−2^4
Answers:
250
244
18
10
Answer:
250
Step-by-step explanation:
pls solve Solve. 3/4(x−8) =−1/2
x=−26/3
x = 10
x=22/3
Answer:
i think its the 3rd option
Step-by-step explanation:
i'd'k what it is but you can read it over and over again
(p.s Brainleist?)
Answer:
x=22/3
Step-by-step explanation:
A gym is offering a deal to members. Customers can sign up by paying a registration fee of $100 and $28 per month. The function that models this situation is c(m) = 28m + 100, where m is the number of months and c(m) is the cost of becoming a member.
Determine:
6. the shape of the graph
7. the independent and dependent variables
8. the domain and range
9. Interpret the slope and y-intercept values
10. How much will the membership cost for a whole year?
6) The equation given is written in standard form of writing the equation of a line y = mx + b
Hence the shape of the graph that denotes the equation c(m) = 28m + 100 is a straight line
7) The independent variable is a variable that can stand alone while the dependent variable is depending on all other variables in an expression.
From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)
8) The domain is the input value for which the equation exists while the rage is the output value for which the equation exists. For the given expression, the value of the expression will exist at a point where c(m) > 0
28m + 100 > 0
28m > -100
m > -100/28
m > --25/7
The domain is m > -25/7 while the range is c(m) > 0
9) The comparing the equation with y = xm+ b
where x is the slope
28m = mx
x = 28
This shows that the rate of change of cost per member is $28
The y-intercept is the point where the number of months is 0
If m = 0
c(0) = 28(0) + 100
c(0) = 100
The initial cost of membership in the first month is $100
10) Given the formula c(m) = 28m + 100
For a whole year, m = 12
c(12) = 28(12) + 100
c(12) = 336 + 100
c(12) = 436
Hence the membership will cost $436 for the whole year
Learn more here: https://brainly.com/question/17003809
please help me!!!!!!
Answer:
S.I = P x R x T / 100
Step-by-step explanation:
therefore 8000 x 7 x 5 / 100 = 280000/ 100
= 2800
182 divided by 7 step-by-step
Answer:
26 is the quotient
Step-by-step explanation:
7 * 26 = 182
im not good at explaining but that's the answer
what is the sum of the first 8 terms of the geometric sequence 1, 1/2,1/4,1/8,..
(with solution)
PA HELP PO THANKYOUU~
Answer:
127/64
Step-by-step explanation:
1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64
add all the given and it will result to 127/64