Answer:
333.3 years
Step-by-step explanation:
The formula
I = PrtCondition
I needs to equal 10 x PSolving
I = Prt10P = Prt10 = 0.03 x tt = 10/0.03t = 10/3 x 100 = 1000/3 = 333.3 yearsFind the measure of ∠b.
A. 110∘
B. 102∘
C. 111∘
D. 121∘
Answer:
110 :)
Step-by-step explanation:
Triangle total angle measurement: 180
Now lets solve!
28 + 42 + ? = 180
70 + ? = 180
Now we have to subtract!!
180 - 70 = 110
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c. A detergent contains a mixture of chemicals: A, B and C in the ratio 4: 10:10. A bottle of detergent contains 1.8 litres of Chemical C. How much of chemical A and B does the bottle contain? 161
Answer:
A = 0.72l B = 1.8l C = 1.8l
Step-by-step explanation:
A:B:C = 4:10:10
It means that B and C are equal
It is told that C contains 1.8 liters
B have to contain 1.8 liters too
1.8l*4/10 = 0.72l
You can also write it like this (this version is easier for me):
1.8l:10 = 0.18l
4*0.18l = 0.72l
Hope that I helped :)
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Answer:
see explanation
Step-by-step explanation:
(a)
5% of N 80000
= [tex]\frac{5}{100}[/tex] × 80000
= 0.05 × 80000
= N4000 ← VAT
(b)
total cost = 80000 + 4000 = N84000
An altitude of a triangle is a line or segment that passes through a vertex of
the triangle and is perpendicular to the line containing the opposite
Answer here
Answer: side
Step-by-step explanation:
At Gumdrops Galore candy store, Gina and her sister each fill a bag with gumdrops. Gina's bag of black gumdrops weighs 1 4 of a pound. Gina pays for both her gumdrops and her sister's red gumdrops. In all, Gina buys 3 8 of a pound of gumdrops. She wants to know how much her sister's red gumdrops weigh. Use an equation to find the weight of her sister's red gumdrops.
Answer:
1/8 of a pound
Step-by-step explanation:
Gina's bag of gumdrops : 1/4 of a pound
Gina's + sister's bag of gumdrops : 3/8 of a pound
To find how much her sister's gumdrops weighed, you will have to subtract fractions.
Equation : 3/8 - 1/4 or 3/8 - 2/8
To subtract, you need to make sure the denominators are the same.
1 × 2
------- = 2/8
4 × 2
Now, you can subtract. Subtract the numerators.
3/8 - 2/8 = 1/8
So, Gina's sister's red gumdrops weigh 1/8 of a pound.
Hope this helped !
Gina's sister's red gumdrops weigh 1/8 of a pound.
How to determine the weight of Gina's sister's red gumdropsLet's use an equation to find the weight of Gina's sister's red gumdrops.
Let x be the weight of Gina's sister's red gumdrops in pounds.
According to the information given:
Gina's bag of black gumdrops weighs 1/4 pound.
Gina pays for both her gumdrops and her sister's red gumdrops, totaling 3/8 pound of gumdrops.
Weight of Gina's gumdrops (black gumdrops) + Weight of sister's gumdrops (red gumdrops) = Total weight of gumdrops purchased
1/4 + x = 3/8
Solve for x
x = 3/8 - 1/4
To subtract fractions, we need a common denominator, which is 8:
x = (3/8) - (2/8)
x = 1/8
Therefore, Gina's sister's red gumdrops weigh 1/8 of a pound.
Learn more about subtraction of fractions
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Calculate the perimeter of the figure below 13 cm 18 cm 19 cm 5 5 cm 25 cm [1] 85 cm [2] 80 cm [3] 86 cm [4] 81 cm
In your own words, explain how prime factorization is useful to find the greatest common factor and least common multiple.
Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number
So you can use the factor tree to find the GCF and LCM
The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number
What is prime factorization?Prime factorization is a process of writing all numbers as a product of primes. So, for example, say if we have something like the number 20. We can break that down into two factors. We can say, “well, that's 4 times 5.” And notice, 5 is a prime number.
here, we have,
we need to explain how prime factorization is useful to find the greatest common factor and least common multiple.
now, we know that,
gcf is: Greatest Common Factor. The highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.
and,
lcm is : LCM denotes the least common factor or multiple of any two or more given integers. For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.
so, we have,
Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.
So you can use the factor tree to find the GCF and LCM.
Hence, The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.
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This year, a small business had a total revenue of 89,700 . If this is 38% more than their total revenue the previous year, what was their total revenue the previous year?
Answer:
Revenue was 55,614 the year before
Step-by-step explanation:
Decay Formula: y = a*(1-r)^x
So:
y = 89700 * (1-0.38)^1
y = 55614
well, their total revenue last year was "x", which oddly enough is 100%. Now, this year's revenue is 38% more than that, well, 100% + 38% = 138%, and we also know that it's 89700, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 89700& 138 \end{array} \implies \cfrac{x}{89700}=\cfrac{100}{138}\implies \cfrac{x}{89700}=\cfrac{50}{69} \\\\\\ 69x=4485000\implies x=\cfrac{4485000}{69}\implies x=65000[/tex]
Convert the unit of length. Round the answer to one decimal place if necessary. Assume 1 yd ≈ 0.914 m.
8m≈ yd
8m≈________ yd ?
Answer:
8.75
Step-by-step explanation:
I divided 8 by .914 and got and estimate of 8.75
please help me Find m
Answer:
60 degree is the value of m
can you please help me find the area. I put 141 but it says that i am wrong. Can anybody help and say what i did wrong.
Answer:
3120 think
Step-by-step explanation:
i just did 3x8x10x13
How much pound sterling can be obtained while exchanging NRs250000 paying 2% commission?
(Buying rate: 1 pound=NRs 148.96) (Selling rate: 1 pound=NRs 149.74)
I need help ASAP! I took a screenshot of the question and linked it.
Before we solve this problem:
⇒ let's figure out what all the variables in the equation stand for
t: number of years after initial rabbit populationr(t): number rabbits in 't' yearsQuestion 16: How many rabbits will there be in 8 years?Since it is asking how many rabbits there be in 8 years⇒ that means we substitute 8 into 't' of the equation
[tex]R(t) = 225e^{0.375t} =225e^{0.375*8} =225e^3 = 4519.2[/tex]
*we will round down the number of rabbits since it is impossible to
have 0.2 of a rabbit
There will be 4519 rabbits in 8 years.
Question 17: When will the population be 15000?Since it asking for when the population or R(t) will be 15000⇒ we substitute 15000 into 'R(t)' of the function and solve for 't'
[tex]R(t) = 225e^{0.375t}\\15000=225*e^{0.375t}\\\frac{15000}{225} =e^{0.375t}\\ln(\frac{15000}{225})=0.375t\\ t = 11.2[/tex]
*in this case, you want it to the nearest year, round it up since we
asked for how many years, and if we were to say 11, the
the population of rabbits wouldn't have reached that number yet,
so we will round up to ensure that number has been reached by
that year.
It will take at least 12 years for the rabbit population to reach 15000
Hope that helps!
Naoya read a book cover to cover in a single session, at a rate of
55
5555 pages per hour. After reading for
4
44 hours, he had
330
330330 pages left to read.
How long is the book?
Answer:
550pages and 10 hours
Step-by-step explanation:
Which of the following is not a polynomial identity?
O A. a? (b+c) = a(®+c)
a
O
O B. (22+3)(c + dla) = (ac-bet)* + (ad + bc)
+
O C. 22 - B° = (a - b)(a2 + ab + b)
OD. (a+b)2 = 22 + 2ab+ b2
=
Answer:
A
Step-by-step explanation:
If we start from top to bottom all we have to do is check which ones are not equal.
The first one is
[tex]a^2(b+c) = a^3(\frac{b}{a}+c)[/tex]
If we multiply is out we get
[tex]a^2b+a^2c = a^3*\frac{b}{a}+a^3c\\\text{which turns into}\\a^2b+a^2c=a^2b+a^3c[/tex]
That is NOT equal to the other. Making the answer A.
Simplify the following expression. 23 + 13 + 63 × 63 ÷ 6 =
Answer:
Here is the answer
Step-by-step explanation:
How would the following decimal read: 321.222
Answer:
Three hundred twenty-one and two hundred twenty-two thousandths.
Step-by-step explanation:
Take a glance at the image.
Please accept my apologies if it appears to look bad-
Given h of x equals 3 times the square root of x plus 2 end root, which of the following statements describes h(x)?
The function h(x) is increasing on the interval (–∞, –2).
The function h(x) is decreasing on the interval (2, ∞).
The function h(x) is decreasing on the interval (–∞, 2).
The function h(x) is increasing on the interval (–2, ∞).
Answer:
The function h(x) is increasing on the interval (-2, ∞)
Step-by-step explanation:
Given function: [tex]h(x)=3 \sqrt{x+2}[/tex]
We cannot square root a negative number, therefore the domain (x-values) is restricted:
[tex]x+2\geq 0 \implies x\geq -2[/tex]
Therefore, [tex]h(x)\geq 0[/tex]
⇒ The function h(x) is increasing on the interval (-2, ∞)
Answer:
FLVS ANSWER D- The function h(x) is increasing on the interval (–2, ∞).
Step-by-step explanation:
you dont need one
Three neighbors plan to complete fencing projects this spring. As shown in the diagrams below, Neighbor A plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. Neighbor B plans to construct a circular chain link fence around his pool. And, Neighbor C is putting a vinyl fence around three side of his front yard. Note: Diagrams are not drawn to scale. Intended fences are marked with a dashed line.
Neighbor A:
Neighbor B:
Neighbor C:
Neighbor A can put up three 8 foot sections of wood fencing in two hours.
Neighbor B can put up 15 feet of chain link fencing each hour.
Neighbor C can put up 1 yard of vinyl fencing in half an hour.
Which neighbor's fencing project will take the least amount of time to complete?
Which neighbor's fencing project will take the most amount of time to complete?
Answer:
i think c
Step-by-step explanation:
Answer:
Neighbor C will take the least amount of time and Neighbor B will take the most amount of time. Let me know if i'm right!
Step-by-step explanation:
I hope this helps! Have a good weekend!! :)
[tex]\sqrt{50} +\sqrt{18}[/tex]
Answer:
8 × square root of 2
Step-by-step explanation:
50 is 25 × 2 and we take 5 outside of the root and were left with 2 inside.
18 is 9 × 2 and we take the 9 outside of the root so it becomes 3 with 2 left inside the root.
then we just find the sum
Solve 5+ 4.7 (21 + 3x) = 41
At what interest rate must $112,000 be invested so that it will be worth $392,000 in 14 years?
Answer:
25%
Step-by-step explanation:
Simple interest= PRT/100
392,000=112,000*R*14/100
392,000=1120*14*R
392,000=15,680R
R= 392,000/15,680
R= 25%
Explain how you know 1 5/8 is little greater than 1 1/2.
Answer:
1 5/8 is 1/8 greater than 1 1/2
Step-by-step explanation:
if we take off the one from both expressions, we're left with
5/8 and 1/2.
To better compare the fractions, we can make them have equal denominators. To do this, multiply both the numerator and denominator of 1/2 by 4: (1*4)/(2*4) = 4/8.
5/8 is larger than 4/8 by 1/8, therefore, 1 5/8 is larger than 1 1/2 by 1/8.
Step-by-step explanation:
1 5/8 is greater than 1 1/2 because if you draw 1 5/8 and on the bottom 1 1/2 you will see that 1 5/8 is greater.
What is the surface area of this prism?
Answer:
Step-by-step explanation:
front side: 6x3 = 18
back : 6x3 = 18
right:6x2 = 12
left:6x2 = 12
top: 3x2 =6
bottom: 3x2 =6
18 + 18 + 12 + 12 + 6 + 6
= 72
Find the area of the figure.
answer:
804.980cm²
explanation:
attached
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Pasang fixed the marked price of a watch Rs. 4000 and he sold it allowing a discount of 10%. Then he made a profit of Rs 400. Find the cost orice of the watch.
Answer:
Cost Price = Marked Price -Discount - Profit
CP = 4000-400-400
Cost price = 3200
Rs. 3200
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IM STUCK CAN SOMEBODY SOLVE THIS EQUATION
Is the a system of equations has no solution, the graph of the system are?
Answer:
When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
Help picture below problem 9
Answer:
i think the answer might be E.
the answer is A option that is Angle M
A circular garden has a diameter of 10 feet. Approximately how much edging trim is needed to surround the garden by placing the trim all along the garden's circumference?
Answer:
31 feet
Step-by-step explanation:
circumference = pi × diameter
pi × diameter = 31.4 (10×3.14)
Answer: 31 ft
Step-by-step explanation:
circumference = pi × diameter
pi × diameter = 31.4 (10×3.14)