The simple interest on 1600 with a 6% interest rate for 2 years is $192.
What is the simple interest?The simple interest simply means the method that's used to calculate the interest that's charged on a loan or money given out.
In this situation, we want to calculate the simple interest on 1600 with a 6% interest rate for 2 years. This will be calculated thus:
Simple interest = Principal × Rate × Interest
Simple interest = $1600 × 6% × 2
Simple interest = $1600 × 0.06 × 2
Simple interest = $192
The interest is $192.
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Complete question
Calculate the simple interest on 1600 with a 6% interest rate for 2 years.
Aarav has budgeted $300 to spend on hanging planters and raised garden beds. Each hanging planter costs $16, and a raised bed costs 1. 5 times as much as a hanging planter
Hence, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.
What is the cost?
The concept of cost is a key concept in Economics. It refers to the amount of payment made to acquire any goods and services.
Here given that,
Aarav has budgeted $ [tex]300[/tex] to spend on hanging planters and raised garden beds. Each hanging planter costs $ [tex]16[/tex], and a raised bed costs [tex]1. 5[/tex] times as much as a hanging planter.
So,
The total cash he used to buy the hanging planter is [tex]16(1.5)=24[/tex]$.
So, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.
Hence, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.
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does anyone know this?
Answer:
10
Step-by-step explanation:
subtract 14 from 24 or 24 from 14
On Saturday, Pam spent 1 hour and 15 minutes working on a puzzle. On Sunday, she spent 48 minutes on the puzzle. How many seconds did Pam work on the puzzle in all?
900 seconds
2,880 seconds
3,600 seconds
7,380 seconds
I’m giving 20 points
Pam worked on puzzle for 7380 seconds.
What is unit conversion?Conversion of unit is a multi-step process which involves multiplication or division by a numerical factor. In it one unit of the quantity is changed to another unit of same quantity.
Given,
Pam spent 1 hour and 15 minutes on puzzle, on Saturday.
She spent 48 minutes on puzzle on Sunday.
Total time spent on puzzle by Pam
= 1 hour 15 minutes + 48 minutes
∵ 1 hour = 60 minutes
Total time spend in minutes
= 60+15+48
= 123 minutes
now, 1 minute = 60 seconds
Total time spend in seconds
= 123 × 60
= 7380 seconds.
Hence, 7380 seconds is the total time spend by Pam on the puzzle.
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PLEASE HELP
Find the missing ange:
RPQ= _____
The value of angle RPQ in the circle is 115 degrees.
How to find the angle in the circle?The intersecting chords theorem, also known as the chord theorem, is an elementary geometry statement that describes a relationship between the four line segments formed by two intersecting chords within a circle.
If two chords intersect inside a circle, then the measure of the angle formed is one-half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Therefore,
∠RPQ = 1 / 2 (arc angle RQ + arc angle SA)
arc angle RQ = 175 degrees
arc angle SA = 55 degrees
Hence,
∠RPQ = 1 / 2 (175 + 55)
∠RPQ = 1 / 2 (230)
∠RPQ = 115 degrees.
The angle is 115°.
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I need the equation to solve this problem
What equation to solve what problem?
There are 12 boys and 18 girls in Mr. Spano's
math class. If he randomly calls on three
students for answers to an assignment, what
s the probability that all three are girls?
Assume he does not call on the same
tudent more than once.
Write as many figure names as possible for the book cover
K
The mean percent of childhood asthma prevalence in 43 cities is 2.38%. A random sample of 31 of these cities is selected. What is the probability that the mean childhood asthma
prevalence for the sample is greater than 2.8 % ? Interpret this probability. Assume that o=1.40%.
The probability is
(Round to four decimal places as needed.)
#
#
√i
S
i
(0,0)
3
More
033
Exit session
Dec 2 2:44 O
Answer:
P(X > 2.6) = 0.0475 = 4.75%
Step-by-step explanation:
Let X is the random variable that represents percent of childhood asthma prevalence.
We want to find out the probability that the mean childhood asthma prevalence for the sample is greater than 2.6%
The z-score corresponding to 1.67 is 0.9525
P(X > 2.6) = 1 - 0.9525
P(X > 2.6) = 0.0475
P(X > 2.6) = 4.75%
Therefore, there is 4.75% probability that the mean childhood asthma prevalence for the sample is greater than 2.6%
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.6)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.67 then go for 0.07 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.
Write an equation that represents the line. Use exact numbers
Answer: [tex]\boxed{y=\frac{3}{4}x- \frac{9}{2} }[/tex]
Step-by-step explanation:
Given the points: (2, -3) and (-2, -6)
using the slope formula, lets calculate the slope,
[tex]\frac{-6+3}{-2-2} =\frac{3}{4}[/tex]
Using point-slope form lets solve,
[tex]y+3=3/4(x-2)\\\\\boxed{y=\frac{3}{4}x- \frac{9}{2} }[/tex]
Rectangle is36 square centimeter and it’s length 9 centimeter
The width of a rectangle when it's area is 36 square centimeter and it’s length 9 centimeter is 4vm.
What will the width be?From rte information, the rectangle is 36 square centimeter and it’s length 9 centimeter. It should be noted that the the area of a rectangle is calculated thus:
Area = Length × Width
36 = Length × Width
Width = 36 / Length
Width = 36 / 9
Width = 4.
The width of the rectangle is 4cm
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Complete question
A Rectangle is36 square centimeter and it’s length 9 centimeter. Fund the width.
Will give brainliest
Answer:
f(4) = 99
Step-by-step explanation:
22 times 4 is 88, 88 plus 11 is 99.
Find the length of LK. Show or Explain your work.
Answer:
3
Step-by-step explanation:
LK is around half of AB, which is 6. Half of 6 is 3.
BRAINLIEST PLEASE!y=-9x+3 complete ordered pairs
Answer:
I think its (0,3), (1,-6), (2,-15)
Step-by-step explanation:
In a lottery daily game, a player picks four number from 0 to 9 (without repetition). How many different choices does the player have?
a) If order matters?
B)If order did not matter?
What's the domain of f(x)=log(5x+10)+3?
The domain of a function is the set of all possible input values that the function can take without breaking. In the case of f(x) = log(5x+10) + 3, the domain is all real numbers x such that 5x+10 is greater than 0. This is because the log function is not defined for values less than or equal to 0.
To find the domain of f(x), we need to solve the inequality 5x+10 > 0. We can do this by subtracting 10 from both sides of the inequality, which gives us 5x > -10. Dividing both sides by 5 gives us x > -2. Therefore, the domain of f(x) = log(5x+10) + 3 is all real numbers x such that x > -2.
PART A.By 6:00 A.M., the temperature had dropped 4 F, and then the temperature raised 10 F by noon.What is the temperature at noon?
PART B.What represents zero in this situation? Explain.
A. The temperature at noon will be 6°F.
B. The thing that represents zero in this situation is when the temperature is neither raised nor dropped and it's at the initial stage.
How to calculate the temperature?Temperature is the measure of how hot or cold something is expressed in terms of one of several scales, which include Fahrenheit and Celsius. The direction in which heat energy will spontaneously flow is indicated by temperature.
A. From the information, by 6:00 A.M., the temperature had dropped 4 F, and then the temperature raised 10 F by noon.
The temperature at noon will be:
= -4°F + 10°F
= 6°F
The temperature at 0 simply means the initial temperature.
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Tessa has t times as many comic books as Joseph. Joseph has 14 comic books. Write an expression that shows how many comic books Tessa has
The expression that shows how many comic books Tessa has is 14t
How to determine the expression?From the question, we have the following parameters that can be used in our computation:
Tessa = t times as many as Joseph
Joseph = 14 comic books
These parameters means that
Tessa = t times Joseph
So, we have
Tessa = t * Joseph
Substitute the known values in the above equation, so, we have the following representation
Tessa = t * 14
Evaluate
Tessa = 14t
Hence, the expression is 14t
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Solve the equation by using the Square Root Property. (Enter your answers as a comma-separated list.)
x²
6
X=
= 24
Answer:
12 is the answer of this equation
multiply 2y (1/4y+ 3/4).
After multiplying the given expression, we are left with the following as our solution:
SOLUTION:
[tex]\frac{y^2}{2}+ \frac{3y}{2}[/tex]
Hope this helps!
A fish descends 4 meters per minute for 2 minutes. Then it ascends 3 meters per minute for 3 minutes. What is the total distance, in meters, the fish traveled?
The fish's total distance traveled is 17 meters in 5 minutes based on multiplication and addition operations.
How is the total distance traveled determined?The total distance the fish traveled can be determined using mathematical operations, especially multiplication and addition.
We know that distance is the product of speed and time, i.e. d = st, where s is speed, t is time, and d is distance.
In this situation, we separately find the distance the fish traveled during its descent and ascent by multiplying time and speed.
The results are added to obtain the total distance the fish traveled for both activities.
The fish's descent speed = 4 meters per minute (MPM)
The total time for the descent = 2
The total distance for the descent = 8 miles (4 x 2)
The fish's ascent speed = 3 meters per minute (MPM)
The total time during ascent = 3 minutes
The total distance for the ascent = 9 miles (3 x 3)
The total distance the fish traveled for descent and ascent = 17 meters (8 + 9)
Thus, we can mathematically conclude that the fish traveled 17 meters.
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Which expression is equivalent to square root 36/25 ? 6/25, 5/6
Answer: 6/25
Step-by-step explanation: To find the equivalent expression, we can use the property of square roots that says that the square root of the quotient of two numbers is the quotient of the square roots of the numbers. This property is given by the following equation: sqrt(a/b) = sqrt(a) / sqrt(b)
In this case, the expression we are trying to simplify is sqrt(36/25), which we can rewrite using the property of square roots as follows: sqrt(36/25) = sqrt(36) / sqrt(25)
Then, we can use the property of square roots that says that the square root of a perfect square is the number itself to simplify the expression as follows: sqrt(36/25) = 6 / sqrt(25)
Finally, we can use the property of square roots that says that the square root of a perfect square is the number itself to simplify the expression even further: sqrt(36/25) = 6 / 5
Therefore, the equivalent expression to sqrt(36/25) is 6/25. This means that the correct answer is 6/25, not 5/6.
Can someone please help me with this problem. And educate me on how to get the answer.
Answer: A, B and C
Step-by-step explanation:
Step-by-step explanation:
Given any three side lengths of a right triangle, the longest side is the hypotenuse.
The side lengths of a right triangle must satisfy the Pythagorean Theorem.
Pythagorean Theorem:
Option A:
True
Option B: 2.5, 6, 6.5
Option C:
Since all are true, the side lengths in Options A, B and C forms a right triangle,
Answer:
Side lengths a , b , c form a right triangle if, and only if, they satisfy a² + b² = c² . We say these numbers form a Pythagorean triple
Step-by-step explanation:
Determine the equation of the line that passes through the given point and is parallel to the given line Point: (3,-4) Line: y=-2/3x-2
Answer:
y=-2/3x+2
Step-by-step explanation:
multiply -2/3 by the x coordinate (3) and set up your equation in y=mx+b format using the y coordinate (-4=-2+b) -4/-2 is 2. Now keep your original slope and your equation is y=-2/3x+2
Please answer ASAP
Dorothy is trying to prove that △PQR is a right triangle.
The vertices of △PQR are at P(-2,5), Q(-1,1), and R(7,3).
Which TWO slope calculations can she use to correctly show that △PQR is a right triangle?
Select TWO of the answers below.
A Dorothy is trying to prove that △PQR is a right triangle.
The vertices of △PQR are at P(-2,5), Q(-1,1), and R(7,3).
Which TWO slope calculations can she use to correctly show that △PQR is a right triangle?
Select TWO of the answers below.
Responses
Dorothy is trying to prove that △PQR is a right triangle.
The vertices of △PQR are at P(-2,5), Q(-1,1), and R(7,3).
Which TWO slope calculations can she use to correctly show that △PQR is a right triangle?
Select TWO of the answers below.
Responses
Dorothy is trying to prove that △PQR is a right triangle.
The vertices of △PQR are at P(-2,5), Q(-1,1), and R(7,3).
Which TWO slope calculations can she use to correctly show that △PQR is a right triangle?
Select TWO of the answers below.
Responses
Dorothy is trying to prove that △PQR is a right triangle.
The vertices of △PQR are at P(-2,5), Q(-1,1), and R(7,3).
Which TWO slope calculations can she use to correctly show that △PQR is a right triangle?
Select TWO of the answers below.
Responses
Dorothy is trying to prove that △PQR is a right triangle.
The vertices of △PQR are at P(-2,5), Q(-1,1), and R(7,3).
Which TWO slope calculations can she use to correctly show that △PQR is a right triangle?
Select TWO of the answers below.
Responses
A. slope of PQ = y2 - y1 / x2 - x1 = -1 - (-2)/1-5 = -1/4
B. Slope of QR = y2 - y1 / x2 - x1 = 7 - (-1) / 3 - 1 = 8/2 =4
C. Slope of PQ = y2 - y1 / x2 - x1 = 1 - 5 / -1 - (-2) = -4/1 = -4
D. slope of QR = y2 - y1 / x2 - x1 = 3 - 1 / 7 - (-1) = 2/8 = 1/4
The solution that correctly shows the slope calculation to enable Dorothy show that △PQR is a right triangle
C. Slope of PQ = (y₂ - y₁) / (x₂ - x₁) = (1 - 5) / (-1 - (-2)) = -4/1 = -4D. slope of QR = (y₂ - y₁) / (x₂ - x₁) = (3 - 1) / (7 - (-1)) = 2/8 = 1/4How to find slope of a lineRight triangles are triangles with have perpendicular relationships
The lines will be checked for perpendicularity by calculating the slopes, if any two slopes are negative reciprocals then they are perpendicular and the triangle is a right triangle
Using point PQ
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 5) / (-1 - -2)
m = -4
Using point QR
m = (y₂ - y₁) / (x₂ - x₁)
m = (3 - 1) / (7 - -1)
m = 2/8 = 1/4
Comparing the slopes shows that slopes calculated are negative reciprocals
-4 and 1/4
Therefore the triangle is a right triangle
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Set up the equation for the following word problem and solve the equation. Let y be the unknown number.
If a number divided by 3 is increased by 38, the result is 96.
If y is the unknown number, the equation of the line for the given condition is y/3+38=96 and the value of y will be 228.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the condition is "If a number divided by 3 is increased by 38, the result is 96".
Let y be the unknown number.
The equation for the following word problem is,
y/3+38=96
The equation is solved in further steps,
(y+114)/3=96
y+114=96×3
y+114=342
y=342-114
y=228.
Thus, if y is the unknown number, the equation of the line for the given condition is y/3+38=96 and the value of y will be 228.
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Select whether the pair of lines is parallel, perpendicular, or neither. y−4=3(x+5), y+3=−13(x+1)
Answer:
neither
Step-by-step explanation:
parallel lines will have the same number next to the x
perpendicular lines will have the negative reciprocal number next to the x
(for example 2 and -1/2 are negative reciprocals)
y−4=3(x+5)
parenthesis first
y−4=3x+15
y=3x+19
y+3= −13(x+1)
y+3= −13x−13
y= −13x−16
3x and −13x are neither the same nor negative reciprocals of each other so
the answer is neither
Find the missing angle:
FRT=_____________
What type of variation does the following equation represent:
R = kst / v²
Direct
Joint and Inverse
Inverse
Direct and Inverse
Joint
The correct option is Joint variation, because there is not only diect variation or inverse variation.
What is variation in mathematics?
It gives the relationship between a set of variables with the other set of variables.
Consider the given equation.
R = kst / v²
In this question, details of variables is not given hence, consider k is constant and s, t, and v are variables.
Direct variation: When one variable is directly proportional to the other variable then the relation is known as direct variation.
Joint variation: When a variable depends directly or inversely on 2 or more than two variables then the variabtion is known as Joint variation.
Inverse: When a variable varies inversaly with respect to other variable then the the variation is known as inverse variation.
In the equation, there are 3 variables, R varies directly as s and t and varies inversely as [tex]v^2[/tex].
Hence, the correct option is Joint variation, because there is not only diect variation or inverse variation.
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Consider the polynomial shown
p(x)=2x^4-8x^3+6
The zeroes for the given polynomial will be 1 and 3.
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
It is given that the polynomial is, p(x)=2x⁴-8x³+6
[tex]=2x^4-8x^3+6 \\\\ =2\left(x^4-4x^3+3\right) \\\\ =2\left(x-1\right)\left(x^3-3x^2-3x-3\right) \\\\ 2(x-1)+x^2(x-3)-3(x-3) \\\\ x =1 \\\\ x = 3[/tex]
Thus, the zeroes for the given polynomial will be 1 and 3.
The question is incomplete the complete question is"Consider the polynomial p(x)=2x⁴-8x³+6
a. Graph p(x)=2x⁴-8x³+6, and find the real zero of polynomial p.
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Two angles of a triangle have the same measure and the third one is 54 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
Answer:
Step-by-step explanation:
obtuse.