Option A
The simple interest earned is $ 105
Solution:
Given that, $300 at 5% annual interest for 7 years
Therefore,
Principal = $ 300
Rate of interest = 5 %
Number of years = 7
The simple interest is given by formula:
[tex]Simple\ Interest = \frac{p \times n \times r }{100}[/tex]
Where,
p is the principal
r is the rate of interest
n is the number of years
Substituting the values in formula,
[tex]Simple\ Interest = \frac{300 \times 7 \times 5 }{100}\\\\Simple\ Interest = 3 \times 7 \times 5\\\\Simple\ Interest = 105[/tex]
Thus simple interest earned is $ 105
Evaluate using the order of operations.
3/4 + 5/6 ÷ 2/3
What is the answer?
Answer: Its 2
Step-by-step explanation: PEMDAS Keep.Change.Flip.
5/6×3/2=15/12=1 3/12
1 3/12+3/4(3/3)
1 3/12+9/12=1 12/12=2. BOOM!
What is 12.5% written as a fraction in simplest form?
Answer:
1/8
Step-by-step explanation:
Check: 12.5 * 8 = 100
Answer:
1/8 is the simplest form
Step-by-step explanation:
12.5% = 12.5/100 = 125/1000
125/125 = 1
1000/125 = 8
= 1/8
What is the final elevation if a butterfly starts at 20 m and changes -16 m
Answer:
Therefore the final elevation of the butterfly is 4 m.
Step-by-step explanation:
i) initial elevation = 20 m
ii) change in elevation = -16m
iii) therefore final elevation = initial elevation + change in elevation
= 20 m + (-16 m)
= (20 - 16) m
= 4 m
Therefore the final elevation of the butterfly is 4 m.
Answer:
4
Step-by-step explanation:
MARKING BRAINLIST | What is the value of y?
Answer: y = 5
Step-by-step explanation:
This triangle is isosceles.
So, ∠ABC = ∠ACB = 75°
Now,
sum of interior angles of a triangle = 180°
∠ABC + ∠ACB + ∠BAC = 180°
75° + 75° + (4y + 10)° = 180°
160° + 4y° = 180°
4y° = 20°
y = 5
What fraction of 56 is 21
Answer:
[tex]\frac{8}{3}[/tex]
Step-by-step explanation:=
= [tex]\frac{56}{21}[/tex] ( Divide both sides by 7)
= [tex]\frac{8}{3}[/tex]
21 is 3/8 fraction of 56.
What is fraction?A fraction describes a part of a whole. For example, one slice of a pizza is a fraction of the whole pizza.
Given that, what fraction of 56 is 21,
Finding the fraction, we get,
21 / 56 = 7(3) / 7(8)
= 3 / 8
Hence, 21 is 3/8 fraction of 56.
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Timed test: Will give Brainliest to correct answer. Answer ASAP Please!
The system of equations is graphed on the coordinate plane.
y=x−1
y=−2x−4
A graph with a blue line passing through coordinates (-2, 0), (-1, -2) and (0, -4) and a red line passing through coordinates (-1, -2), (0, -1) and (1, 0).
Answer:
The solution of the system is the point (-1,-2)
Step-by-step explanation:
The question is
Enter the coordinates of the solution to the system of equations
we have
[tex]y=x-1[/tex] ----> red line
[tex]y=-2x-4[/tex] ----> blue line
Solve the system by graphing
Remember that the solution of the system of equations is the intersection point both graphs. The solution is a point that satisfy both equations
using a graphing tool
The intersection point is (-1,-2)
The intersection point satisfy both equations
therefore
The solution of the system is the point (-1,-2)
see the attached figure to better understand the problem
Boyle's Law says that the volume of a gas varies inversely with the pressure. When the volume of a certain gas is 5 L, the pressure is 304 kPa (kilopascals). What is the volume when the pressure is 80 kPa ?
Answer:
19 L
Step-by-step explanation:
Given that the volume (V) varies inversely with the pressure (P) then the equation relating them is
V = [tex]\frac{k}{P}[/tex] ← k is the constant of variation
To find k use the condition V = 5 when P = 304
k = VP = 5 × 304 = 1520
V = [tex]\frac{1520}{P}[/tex] ← equation of variation
When P = 80, then
V = [tex]\frac{1520}{80}[/tex] = 19 L
What is the answer to (20÷4)-3
Answer:
2
Step-by-step explanation:
(20÷4)-3
20÷4=5
5 x -3= 2
Answer:
2
Step-by-step explanation:
20 /4=5
5-3=2
How to complete a square
Answer: Step 1. Divide all terms by a (the coefficient of x2).
Step 2. Move the number term (c/a) to the right side of the equation.
Step 3. Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
Step-by-step explanation:
In a town there are 1349 families. If there are on average two children attending elementary school from each family and each school can accommodate 220 children, the minimum number of elementary schools need in the region is?
Answer:
13
Step-by-step explanation:
First find the number of children attending elementary school
= 1349*2
= 2698 children
Now each school can accommodate 220 children so divide the number of children by 220
=
= 12.26 which is the closest to 13 in the options so the answer is 13
Step-by-step explanation:
Convert the decimal to a fraction.
0.6 repeating
Answer: 2/3
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!
Answer:
If the input is n then the output f(n) will be 4n - 8.
Step-by-step explanation:
Let the input of the function is denoted by x and the output is denoted by y.
Then, two ordered pairs of the linear function i.e.(x,y) are (2,0) and (3,4).
Therefore, the relation between x and y i.e. the equation of the straight line will be given by
[tex]\frac{y - 4}{4 - 0} = \frac{x - 3}{3 - 2}[/tex]
⇒ y - 4 = 4(x - 3)
⇒ y = 4x - 8
⇒ f(x) = 4x - 8
Therefore, if the input is n then the output f(n) will be 4n - 8. (Answer)
i will mark brainliest, just please help me T-T
The hypotenuse length is D. 2√29
Step-by-step explanation:
Here apply the Pythagorean relationship were the sum of squares of the sides equals the square of the hypotenuse.
Mathematically,
a²+b²=c²
a=10 ,b=4 ,c=hypotenuse
10²+4²=c²
100+16=c²
116=c²
√116=c
√4*29=c
√4 *√29=c
2√29 =c
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Joyce lost 26 lbs on her diet. During vacation she gained 4 lbs. How much was her overall loss?
3 less than 7 times a number
Answer:
7-3n
Step-by-step explanation:
3 less than 7.................. 7-3
times a number ............ n
Together ......................... 7-3n
Write an algebraic expression for the phrase.
7 inches shorter than 6 times the length x of a table in inches
7x + 6
6x + 7
7x – 6
6x – 7
Step-by-step explanation:
To find, an algebraic expression for the given phrase = ?
6 times the length x = 6x
and
7 inches shorter than 6 times the length x
= 6x - 7
∴ 7 inches shorter than 6 times the length x of a table in inches = 6x - 7
Hence, the required "option d) 6x – 7" is correct.
Complete the conversion. 104 km = ______ m A. 10.4 m
B. 104 m
C. 10,400 m
D. 104,000 m
Answer:
The area of a the parallelogram is 88meers squared
The slope of the line below is 2. Use the coordinates of the labeled point to
find a point-slope equation of the line. (1,9)
O A. y-9 = 2(x - 1)
O B. y+9 = -2(x + 1)
O C. y+ 9 = 2(x+1)
O D. y-9=-2(x - 1)
Answer:
Step-by-step explanation:
y - y1 = m(x - x1)
(1,9)...x1 = 1 and y1 = 9
slope(m) = 2
now we sub
y - 9 = 2(x - 1) <===
The point-slope equation of the line with slope 2 that passes through the point (1, 9) is y - 9 = 2(x - 1).
Explanation:To find the point-slope form equation of a line with a given slope and a point, use the formula y - y1 = m(x - x1),
where (x1, y1) is the point on the line and m is the slope.
In this case, the slope is given as 2 and the point is (1,9).
Substituting these values into the point-slope form formula yields the equation y - 9 = 2(x - 1), which represents the linear relationship between x and y corresponding to the described line.
a machine can produce 6 yards of fabric in 2 minutes. how much fabric can the machine produce in 7 days?
Answer:
30,240 yards
Step-by-step explanation:
6*30 in an hour
6*30*24 in a day
6*30*24*7 in a week, solve for 30240
Kyle swan 450 yards in 5 minutes. What is the average number of yards he swam per minute?
Answer:
90 yards a minute
Step-by-step explanation:
The way to figure this out is simple. Just do the amount of yards he or she did total, which is 450, then divided it by the amount of time it took him or her to do so, which is 5 minutes, meaning the equation is 450 divided by 5 equaling 90.
Answer:i think its 90
Step-by-step explanation:
450 / 5 = 90
Li’s garden is shaped like a rectangle. The area of the garden is 232 meters. If the length is 8 meters, what is the perimeter?
16 m
29 m
58 m
74 m
Answer: 29 m
Step-by-step explanation: First find the width
Since Area = Length x Width
Width = Area/Length = 232/8 = 29
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Determine the range of the function f(x)=x^2-2/2 when the domain is {0, 2}.
HELP
The range of function is { -1, 1 }
Solution:
Given that, the function is:
[tex]f(x) = \frac{x^2-2}{2}[/tex]
Domain is {0, 2 }
We have to find the range of function
The domain refers to the set of possible input values
The range is the set of possible output values
Here domain is x = 0 and x = 2
Substitute x = 0 in given function
[tex]f(0) = \frac{0-2}{2}\\\\f(0) = \frac{-2}{2}\\\\f(0) = -1[/tex]
Substitute x = 2 in given function
[tex]f(2) = \frac{2^2-2}{2}\\\\f(2) = \frac{4-2}{2}\\\\f(2) = \frac{2}{2} = 1[/tex]
Thus the range of function is { -1, 1 }
Given the line below.
Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (-2, 2). Use the box provided to submit all of your calculations and final answers.
Answer:
The equation of the line in point slope form is equal to
[tex]y+2=(x+2)[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
(-2,-2) and (2,2)
substitute the values
[tex]m=\frac{2+2}{2+2}=1[/tex]
step 2
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=1\\(x1,y1)=(-2,-2)[/tex]
substitute the values in the formula
[tex]y-(-2)=(1)(x-(-2))\\y+2=(x+2)[/tex]
What is the fraction Simplify 300/220
Answer:
15/11
Step-by-step explanation:
Because the GCF is 20
Hope this helps:)
Answer:
15/11
Step-by-step explanation:
a village having a population of 4000, requires 150 litres of water per head per day. it has a tank measuring 20m x 15m x 6m. for how many days will the water of this tank last?
The water will last for 3 days
Solution:
Given that, village having a population of 4000, requires 150 litres of water per head per day
Let us first find the volume of tank
The tank measuring 20m x 15m x 6m
Length = 20 m
Breadth = 15 m
Height = 6 m
[tex]volume\ of\ tank = length \times breadth \times height[/tex]
[tex]Volume\ of\ tank = 20 \times 15 \times 6 = 1800[/tex]
Thus volume of tank is 1800 cubic meter
From given,
Water required per person per day = 150 liters
Therefore, water required for 4000 people per day is:
[tex]\rightarrow 4000 \times 150 = 600000 \text{ liters }[/tex]
Convert to meters
[tex]600000 \text{ liters } = 600000 \times \frac{1}{1000}\ m^3\\\\600000 \text{ liters } = 600\ m^3[/tex]
How many days will the water of this tank last?
[tex]\text{Number of days water will last } = \frac{\text{volume of tank}}{\text{total water required per day}}[/tex]
[tex]\text{Number of days water will last } = \frac{1800}{600} = 3[/tex]
Thus the water will last for 3 days
6) Janelle has 150 surveys she has to hand out. She conducts 11 surveys
an hour, x. Which equation models the situation?
Answer:
y = 150 - 11x
Step-by-step explanation:
Janelle is starting out with 150 surveys and if she is conducting 11 surveys an hour, then that means you need to subtract 11x from 150 because that will give you how many surveys she has left.
Four times a number, n, added to 3 is 47
Answer:
4 x 11 + 3 = 47
Step-by-step explanation:
n = 11
The equation that represents the situation will be 4n + 3 = 47. And the solution of the equation is 11.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Four times a number, n, added to 3 is 47. Then the equation is given as,
4n + 3 = 47
Simplify the equation, then we have
4n + 3 = 47
4n = 47 - 3
4n = 44
n = 11
The equation that represents the situation will be 4n + 3 = 47. And the solution of the equation is 11.
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how to do multiplication
Context?
??????????????
Change 6 1/8 into an improper fraction.
Step-by-step explanation:
To find a improper fraction, you must multiply the denominator by the whole number, then add the numerator to the product.
6 x 8 = 48 + 1 = 49.
Our numerator for the improper fraction is 49, we keep the denominator as the same as the whole number fraction, which is 8.
Therefore, your improper fraction is 49/8.
The improper fraction equivalent of 6 1/8 is 49/8.
Given that a mixed fraction 6 1/8, we need to convert it into improper fraction,
To change a mixed number like 6 1/8 into an improper fraction, you need to convert the whole number and the fraction into a single fraction.
Step 1: Multiply the whole number by the denominator of the fraction.
6 x 8 = 48
Step 2: Add the product from Step 1 to the numerator of the fraction.
48 + 1 = 49
Step 3: Write the result from Step 2 over the original denominator.
The original denominator is 8.
Therefore, the improper fraction equivalent of 6 1/8 is 49/8.
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What is the volume of the figure below?
Answer:
420 cm
Step-by-step explanation: