[tex]( - 150) + 225 = 75[/tex]
He gained 75 RS. (or whatever the currency is)
Which decimal is equal to 6/20?
1. 0.6
2. 0.15
3. 0.2
4. 0.3
5. 04
Answer:
6/20 as a decimal is 0.3 i hope i helped you
How long would it take for money to double at 11% interest compounded quarterly?
Answer: Approximately 6.3876 years
When rounding to the nearest whole number, this rounds up to 7 years.
===============================================================
Work Shown:
We'll use the compound interest formula
A = P*(1+r/n)^(n*t)
where,
A = amount of money after t yearsP = initial deposit amount or principalr = interest rate in decimal formn = compounding frequencyt = number of yearsIn this case, we know that,
A = 2P, since we want the initial amount to double. P can be any positive real number you want and it doesn't affect the answer.r = 0.11 n = 4, since we're compounding 4 times a yeart = unknown, what we want to solve forSo,
A = P*(1+r/n)^(n*t)
2P = P*(1+r/n)^(n*t)
2 = (1+r/n)^(n*t)
2 = (1+0.11/4)^(4*t)
2 = 1.0275^(4t)
Ln(2) = Ln(1.0275^(4t))
Ln(2) = 4t*Ln(1.0275)
4t*Ln(1.0275) = Ln(2)
t = Ln(2)/(4*Ln(1.0275))
t = 6.38758965414661
It takes roughly 6.3876 years for the deposit to double. If you need this to the nearest whole number, then round up to 7. We don't round to 6 because then we would come up short of the goal of doubling the deposit.
A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint
The table shows different quantities of red and white paint for the same shade of pink complete the table
Answer:
See attached.
Step-by-step explanation:
The table is as shown
White paints {cups} Red paints{cups}
4 3
2 1
1 0
5 4
5 4
The white paint mixes with the red paint is the ratio of 4 is to 3 in that every 4 cups of white paints is mixed with 3 cups of red paints.
2 plus 2 pleas help i need help
Answer:
4
Step-by-step explanation:
2 + 2 = 4
you add two and two.
Answer:
2 + 2 => 4
high level answer in photo
Find the unit rate.
1/2 pound : 5 days
Answer:
= 0.2 pound per day
Step-by-step explanation:
This is a fraction equal to
1 pound ÷ 5 days
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 5
1 pound ÷ 5
5 days ÷ 5
=
0.2 pound
1 day
=
0.2 pound
day
= 0.2 pound per day
Xavier has x dollars. This morning Alex had twice as much money as Xavier. After Alex spent three dollars on chips, he only had seven dollars left. How much money does Xavier have?
Answer:
Xavier has 5 dollars
Step-by-step explanation:
2x represents how much money Alex had, the -3 is how much he spent, and the 7 is how much he has now
[tex]2x-3=7[/tex]
Add 3 to both sides
[tex]2x=10[/tex]
divide both sides by 2
[tex]x=5[/tex]
Checking my work:
[tex]2*5-3=7\\10-3=7\\7=7[/tex]
I need help with my math homework
Answer:
y = 3x - 14
Step-by-step explanation:
y - y₁ = m(x - x₁)
⇒ y - 1 = 3(x - 5)
⇒ y - 1 = 3x - 15
⇒ y = 3x - 14
the value of a dirtbike increases by 30% each year if you purchased this dirtbike today for $500 to the nearest dollar how much will the bike be worth five years later
Answer:
$1856.47
Step-by-step explanation:
500 x 1.3^5=1856.465
which fraction is equivalent to 2/6
Answer:
1/3, 2/6, 3/9, 4/12..are equivalent fractions. Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get.
Step-by-step explanation:
The equivalent fractions of the given fraction [tex]\dfrac{2}{6}[/tex] are [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex] .
The fractions which have the same value but can have different numerators or denominators when either multiplying , dividing or converting it into the lowest form is called equivalent fractions
The upper part of a fraction or part of a whole is called numerator and the lower part of a fraction or the whole is called denominator.
Equivalent fraction can be obtained by multiplying numerator and denominator with the same number .
Example : equivalent fraction of [tex]\dfrac{5}{8}[/tex] is
[tex]\dfrac{5}{8} = \dfrac{5 \times 1 }{8 \times 1} =\dfrac{5\times2}{8\times2} ........=\dfrac{5}{8}[/tex]
According to the data provided in the problem
[tex]\dfrac{2}{6} = \dfrac{2 \times 1 }{6 \times 1} =\dfrac{2\times2}{6\times2} ........=\dfrac{2}{6}[/tex]
Thus the equivalent fractions of [tex]\dfrac{2}{6}[/tex] are [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex]
Learn more about equivalent fractions here:
https://brainly.com/question/29796627
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(4x+3 )+ (-2x+4 )expressions
A 35 ft ladder reaches a window that is 25 feet high. What is the angle of elevation the ladder forms with the ground? A. 44.4 C. 35 B 54.5 D. 45.6
Answer:
D
Step-by-step explanation:
Sin(x)=25/35=5/7
=> x = 45.6
How much money does Bob the Brick-layer need for his material costs?
He can lay 100 bricks in an hour. He charges $150 per hour for brick laying,
What is the total cost for Bob to do the job?
Use a calculator to find an angle that has a tangent of 5/4 Round your answer to the nearest degree. Verify your
answer by using a right triangle.
a. 510
b. 45°
C. 60°
d. 57°
Answer:
The answer is 51 degrees
Step-by-step explanation:
i like to convert the fraction first and then round up
Triangles multiple choice!!
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in right triangle ABC
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
AB² + AC² = BC² , substitute values
5² + AC² = 13²
25 + AC² = 169 ( subtract 25 from both sides )
AC² = 144 ( take the square root of both sides )
AC = [tex]\sqrt{144}[/tex] = 12
Since the triangles are congruent then corresponding sides are congruent, then
DE = AC = 12 inches → B
if the sum of the first n terms of the series 4+7+10+..... is 209, find n
Answer:
Step-by-step explanation:
wow, this is kinda complicated math for HS.. :? we have to know what type of series this is, and that means knowing all the different kinds.. unless maybe in the instructions it tells you you are working with arithmetic series? It is one of those so we can use those formulas... other series can have much more complex formulas.. series comes up in Calc II in college.. but .. unless you're going to be an engineer you probably don't need it.. soooooo anyway..
we can use Sn = n/2(2a1 + d(n-1) )
where d is the difference of a2 -a1 ( this will be the same for all terms)
since we're given Sn = 209 set the problem to 209 and solve for n :/
sounds hard huh.. :? let's see
209 = n/2( 2(4) + 3(n-1))
209 = n/2(8 + 3n-3)
209 = n/2(5+3n)
2*209 = n(5+3n)
418 = 3[tex]n^{2}[/tex] + 5n
0 = 3[tex]n^{2}[/tex] + 5n-418 ( use quadratic formula to find n )
( -5 ± [tex]\sqrt{5^{2}-4*3*(-418) }[/tex] ) / 2(3)
( -5 ±[tex]\sqrt{25+5016}[/tex] ) / 6
( -5 ±[tex]\sqrt{5041}[/tex] ) / 6
( -5 ± 71 ) / 6 ( they were nice to us and make it work out perfectly :) )
positive route = 71-5 /6 = 66/6 =11
negative route = 71-(-5) /6 = 71+5/6 = 76/6 = 12[tex]\frac{2}{3}[/tex]
since 12[tex]\frac{2}{3}[/tex] isn't going to really work for us... let's try 11
an= a1 + d(n-1)
an = 4 + 3(11-1)
an = 4 + 30
an = 34
now let's see if we can get 209 for our 11 terms of the series
Sn = 11/2(2(4) + 3(11-1))
Sn = 11/2(8 + 30)
Sn = 418 /2
Sn = 209 yay.. we got it.. it's the 11th term.. and thank you quadratic formula. You get a Christmas present this year :P
n = 11
The number of the terms of the sequence will be equal to 11.
What is an arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
Given series is 4+7+10+..... and the sum of the terms of the series is 209.
The summation of the n terms of the series is written by the formula below,
Sn = n / 2 [( 2a+(n-1)d]
Substitute the values in the equation above,
209 = n / 2 [(2 x 4 + ( n -1)3]
418 = n(5+3n)
3n² + 5n - 418 = 0
The above quadratic equation will give two values of n. The values of n are,
n = 11
n = -12.55
The terms can not be equal to a negative number.
Therefore, the number of the terms of the sequence will be equal to 11.
To know more about arithmetic progression follow
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change 0.18 kg to grams
Answer:
180 grams
Step-by-step explanation:
Answer:180 grams
Step-by-step explanation:
Jeremy wants to build a cage for his rabbits. The pet store suggests he build a cage in the shape of a rectangular prism with a floor space of at least 1,080 in.2 and a surface area of no more than 4,272 in.2. Which measurements could Jeremy use for his cage?
Answer:
Step-by-step explanation:
Can someone please help fast
There are 60 seventh-grade students in William's school. The students need to choose someone to wear the mascot costume on field day. Huey and Sal are texting about it. Huey: We can give everyone a number from 1 to 60. The we can roll 10 number cubes and add it to the results. The person whose number is equal to the sum wears the costume. Sal: That doesnt seem fair how about this? Everyone gets a number from 0 to 59. Put blocks numbered 0 to 5 in a bag. In another bag, put blocks numbered 0 to 9. Pick a block from the first bag for the tens digit and a block from the second bag for the ones digit. A. Is Huey's plan unfair as Sal claims? If so, why is it unfair? B. Is Sal's plan fair or unfair? Explain your answer. HURRY ANSWERING THIS PLS THIS THING DUE BEFORE 11:59PM
Answer:
Step-by-step explanation:
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radius of a circle with a circumference of 50.26
Answer:
16 cm
Step-by-step explanation:
Circumference is equal to 2 pi r.
Isolating r gives us C/2pi = r
50.26/2pi = 8, exactly.
Diameter is equal to 2r, so the diameter is 16 cm.
Answer:
r≈8
Step-by-step explanation:
Can someone help me find the area of these?
Answer:
1.283.5
2.34.56
3.92.96
4.39.9
5.34
6.18.7
Step-by-step explanation:
Round 17.737039 to the nearest HUNDREDTHS
Answer:
17.74
Step-by-step explanation:
Rounded to the nearest 0.01 or
the Hundredths Place.
The roof of a home rises vertically by 7 ft through a horizontal distance of 15 ft. Find the pitch (slope) of the roof.
simple right?
ty i really need help tho-
Answer:
7/12 = slope
Step-by-step explanation:
vertical change/horizontal change = slope
7/12 = slope
Answer:
7/15
Step-by-step explanation:
Urgent please help..
what is the rate of change of the line through (2, -7) and (3, 12)
Answer:
Hi! Your answer is m = 19
Step-by-step explanation:
~use the slope formula to find the average rate of change~
Side BC is 4 meters long. Side CD is twice the length of the side BC. What is the length of side LM. Explain your reasoning.
Answer:
LM = 18
Step-by-step explanation:
BC = 4
CD is twice that, so CD is 8
Now, remembering that the area of ABCD = 32 and JKLM = 72, divide 72 by 32.
You get 2.25. This is how much bigger JKLM is than ABCD.
Using that, multiply the length of CD (which is 8) by 2.25 to get the length of LM.
You'll get 18.
Hope this helps!
solve for x= 9/36=x/48 please helppp :(
Answer:
x=1/4
Step-by-step explanation:
Solve for x
by simplifying both sides of the equation, then isolating the variable.
x=12
Step-by-step explanation: i think its right
Please help!
1) Write a story about temperatures that this expression could represent:
27 + (–11)
2) Write an expression to represent this situation:
“On Tuesday at lunchtime, it was 29° C. By sunset, the temperature had dropped to 16° C.”
sorry this one but im sure someone can help you
Find the 7th term in the
sequence
-1, 2, -4, 8,...
Answer:
every other term is negative, so it would be -64
Step-by-step explanation:
hope it helps!
What is the answers to this? I am not sure if the ones I already have are correct. Please help!