Answer:
132
Step-by-step explanation:
it is
Simple interest is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is given as,
SI = (P x R x T) / 100
P = Principal
R = rate
T = time in years
The interest that will be paid after 3 years with 8% interest is $132.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is given as,
SI = (P x R x T) / 100
P = Principal
R = rate
T = time in years
We have,
P = $550
R = 8%
T = 3 years
SI = (P x R x T) / 100
SI = (550 x 8 x 3) / 100
SI = $132
Thus,
The interest that will be paid after 3 years with 8% interest is $132.
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A large water tank holds 600 gallons of water. It is losing water at the rate shown in the table.
Answer:
Part A - The answer is C
Part B - a.true, b.true, c.false, d.true.
Step-by-step explanation:
Part A
The slope shown on the table is -60 because the table shows that after each hour, the Gallons of Water decrease by 60.
Part B
a. The slope is -60 not -600, this was established on Part A.
b. We start off with 600 gallons of water. The equation is y = 600 - 60x. If we input 7 as x, we get 600 - 420 which is 180.
c. The initial value was 600, -60 is the slope.
d. As mentioned in b. of part B.
A linear function changes by a constant rate.
The slope is -60, and it represents the rate at which the amount of water changes hourly.The true statements are (b) and (d)The false statements are (a) and (c)Two points on the table are given as:
[tex](x,y) = (0,600)\ (1,540)[/tex]
The slope (m) of the points is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{540 - 600}{1-0}[/tex]
[tex]m = \frac{- 60}{1}[/tex]
[tex]m = - 60[/tex]
So, the slope is -60, and it represents the rate at which the amount of water changes hourly.
The function of the table is represented as:
[tex]y = -60x + 600[/tex]
So:
(a) is false, because the slope is -60
(b) is true, because y = 180 when x = 7
(c) is false, because the initial value is 600
(d) is true
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A skating rink changes one admission price for adults and a different admission price for children. The total admission price for a group of 4 adults and 10 children is $57. The total admission price for a group of 3 adults and 7 children is $41. What are the admission prices for an adult and for a adult?
Given:
The total admission price for a group of 4 adults and 10 children is $57.
The total admission price for a group of 3 adults and 7 children is $41.
To find:
The admission prices for an adult and for a children.
Solution:
Let the price of an adult be x and price of children be y.
According to the question,
[tex]4x+10y=57[/tex] ...(i)
[tex]3x+7y=41[/tex] ...(ii)
Multiply equation (i) by 3.
[tex]12x+30y=171[/tex] ...(iii)
Multiply equation (i) by 4.
[tex]12x+28y=164[/tex] ...(iv)
Subtract (iv) from (iii).
[tex]12x+30y-12x-28y=171-164[/tex]
[tex]2y=7[/tex]
Divide both sides by 2.
[tex]y=3.5[/tex]
Put y=3.5 in (i).
[tex]4x+10(3.5)=57[/tex]
[tex]4x+35=57[/tex]
[tex]4x=57-35[/tex]
[tex]4x=22[/tex]
Divide both sides by 4.
[tex]x=5.5[/tex]
Therefore, the price for an adult is $5.5 and price for a child is $3.5.
James calculated the height of a cylinder that has a volume of 324 pi cubic inches and a radius of 12 inches. His work is shown below. V = B h Step 1: 324 pi = pi 12 squared h Step 2: 324 pi = 24 pi h Step 3: StartFraction 324 pi over 24 pi EndFraction = StartFraction 24 pi over 24 pi EndFraction h Step 4: h = 13.5 pi inches What is the first error that James made when calculating the height of the cylinder? In step 1, he substituted into the volume formula incorrectly. In step 2, he calculated 12 squared incorrectly. It should be 144 rather than 24. In step 4, the Pi should have canceled, making the correct answer 13.5 cm. James calculated the height of the cylinder correctly.
Answer:
I believe the answer is B let me know if it's wrong
Answer:
(B) In step 2, he calculated 12 squared incorrectly. It should be 144 rather than 24.
{(2,-2),(4,-2),(5,0),(5,2),(9,2),(9,4)} Domain: Range: Function:
Answer:
Domain: {2,4,5,9}
Range: {-2,0,2,4}
Function: No
Step-by-step explanation:
Domain = x
Range = y
Domain: {2,4,5,9}
Range: {-2,0,2,4}
Function: No
Answer:
domain = { 2, 4, 5, 9 }
range = { -2, 0, 2, 4 }
function = one-to-many
Determine the measurement of angle Y if the measure of angle X is 55 degrees.
Question 4 options:
55 degrees
110 degrees
125 degrees
250 degrees
Answer:
110
Step-by-step explanation:
the measurment is more than 90 but not by much
On her way to visit her relatives, Jessica drives 180 miles in 4 hours. What is her average rate of speed in miles per hour?
ASAP!!!
Answer:
It is 50 mph
Step-by-step explanation:
Given the table on the right, what is the slope?
Answer:
hi
Step-by-step explanation:
The sum of the angles of a triangle is 180°, what are the two unknown angle measures
in the triangle below? (We know that one angle is 40°)
Answer:
28 and 112
Step-by-step explanation:
4n+n=5n. 5n+40=180 5n-40=140. 140/5= 28. 28* 4=112
A square piece of paper is folded in half along a line of symetry. The resulting shape is then folded in half along line of symetry of the new shape. This process is repeted until n folds have been made, given a sequence of n+1 shapes.If we do not distinguish between congruent shapes, find the number of possible sequences when
(a) n=3
(b) n=6
(c) n=9
Simplify the expression (-5)(4)(-2)(-3)
Answer:
-120
Step-by-step explanation:
-5(4)=-20
-20(-2)=40
40(-3)=-120
Joanna is 152cm tall .Kristal is 8cm shorter what is the sum of heights.
Answer:
296 cm
Step-by-step explanation:
Joanna is 152cm tall
Kristal is 152 - 8 = 144 cm
The sum of the heights is
152 + 144 =296 cm
Liam scored 2 goals out of 5 tries. What percent
did he score?
Answer:
40%
Step-by-step explanation:
because im just built different
Sharon makes bracelets and necklaces to sell at the school fair. She makes a total of 40 bracelets and necklaces. She makes 3 times as many bracelets as necklaces. Which system of equations can be used to determine how many bracelets, x, and how many necklaces, y, she m
Answer:
So, the system of equations are
x+y=40
x= 3 y
Step-by-step explanation:
Let's make system of equations for the given information.
Let x number of bracelets and y number of necklaces made.
So, for the information
She makes a total of 40 bracelets and necklaces, we can set up equation as
x+y=40
Now, for she makes 3 times as many bracelets as necklaces, we can set up equation as
x=3 y
15 is what % of 60:(
Answer:
25%
Step-by-step explanation:
WILL MARK BRAINLIEST
One number is 0.9 of another number. Their sum is 0.038. Find each number.
Answer: .018 and .02
Step-by-step explanation:
X=.9Y
X+Y=.038
X=.9Y
X=-Y+.038
-Y+.038=.9Y
-1.9Y=-.038
Y=.02
X+.02=.038
X=.018
what is the value of 9^-1/2
Answer:
81-1/2
80/2
40 and right than say
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]
[tex]a^{\frac{1}{2} }[/tex] ⇔ [tex]\sqrt{a}[/tex]
Given
[tex]9^{-\frac{1}{2} }[/tex]
= [tex]\frac{1}{9^{\frac{1}{2} } }[/tex]
= [tex]\frac{1}{\sqrt{9} }[/tex]
= [tex]\frac{1}{3}[/tex]
Rose how r u doing with Sofie???
Add the Fractions: Simplify if possible
10 1/3 + 1 2/3 =
Answer:
I believe the answer is 12
Answer:
the correct answer would be 12
Step-by-step explanation:
10 1/3 + 1 2/3
31/3 + 1 2/3
31/3 + 5/3
=12
Hope this helps, happy holidays!!
Helpp!!
At Charles School, 1/5 of the 75 students in seventh grade play in the jazz band. how many seventh graders play in the jazz band?
Answer:
15
Explanation
1/5x75=75/5 =15
15 seventh graders play in the jazz band as per the given ratio.
What is the ratio?One quantity can be expressed as a fraction of other quantities using a ratio, which is a number. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given At Charles School, 1/5 of the 75 students in seventh-grade play in the jazz band.
In the form of a ratio
1/5 the students out of 75 play in the jazz band
Total students play in the jazz band = 75* 1/5
Total students play in the jazz band = 15
Therefore, The jazz band has 15 seventh graders playing according to the ratio.
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Write the word sentence as an equation. Then solve.
The product of 15 and a number x is −75.
Equation:
Solution: x=
Answer:
Equation: 15x= -75
x= -5
Step-by-step explanation:
15x= -75
Divide both sides by 15 to isolate the variable x
-75÷15= -5
Check
15× -5= -75
Hope this helps!
Need help with 20-23 please. geometry
Answer:
20) 5X3=15 15h
21) 12X15=18 180
22) IDEK
23) IDEK
Step-by-step explanation:
A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch, which is due west, at 7 kilometers per hour. Simultaneously, the cows began moving away from him, too, headed due east at 2 kilometers per hour. How long did it take for the herd and the ranch hand to be 4 kilometers apart?
Answer:
4 kilometrs
Step-by-step explanation:
if you add the 2 to another 2 you get four
Answer:
4 kilometres
Hope this helped!
i need this due at 9 30
Answer:
First, we are given that line segments AB and ED are congruent and that AE and BD bisect each other. This means that AC and CE are congruent, and they are also congruent to BC and CD. Next, angle ACB and angle DCE are congruent because of the vertical angles theorem. This means that triangle ABC and triangle EDC are congruent by the Side-Angle-Side congruency theorem, and also the Side-Side-Side theorem.
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If trapezoid Q’U’A’D’ is diluted by the factor of 3/4 with respect to the origin to create trapezoid Q”U”A”D” what are the coordinates of A”?
A. (2,-4)
B.(-2,4)
C. [3/2, -3]
D. [-3/2,3]
Find the value of y.
Answer:
B
Step-by-step explanation:
What is 22 minus ( 22 times 22 ) divided by 0.000000000000000009 times 1084840280424024
Answer:
-5.5688467e+34
Step-by-step explanation:
Calculator :) P.S Can I have brainliest?
Answer:
-5.83403e+34
Step-by-step explain
z = -400i - 44.5
What is the imaginary part of z?
Answer:
-400i
General Formulas and Concepts:
Algebra II
Complex Form: a + biStep-by-step explanation:
Step 1: Define
z = -400i - 44.5
Step 2: Identify
Treat imaginary i as a variable. The imaginary part of z would be the entire term of i. Therefore, our answer is -400i
WHY DOES NODBODY HELP ME PLZZ HELP
Answer: your answer is A.
From the graph, we can find the y-intercept, or where the line intercepts the y-axis, and the slope of the line to formulate our equation.
y-intercept = 3slope = -5With this information, we can write the equation of the line:
C. y = -5x + 3
*Note: the slope-intercept formula for a line is y = mx + b, where m is slope and b is the y-intercept.
Ahhff DF nfkemebebwjdbbdnsjwjxjdnddf
Answer:
0 is the surface of the sea
Step-by-step explanation:
Here, we want to know what zero represents
From the question, we are told that jumping 5 ft below the sea surface represents the depth
-5 ft is same as going 5 units below zero
So therefore, we can have zero representing the sea level
The zero in this case is the surface of the sea
Answer:
B. the surface of the sea
Step-by-step explanation:
have nice day
Please explain how to do this!!!!!
Answer:
The answer is D: y - 3 = -1/7 (x+3)
Step-by-step explanation: