Graph each equation by using the x- and y-intercepts
If inflation is 4% a year compounded annually, what will it cost in 20 years to buy a house currently valued at $75,000.00?
Compound interest is the interest that is made from the principal and the interest as well in consecutive years.
The cost of the house in 20 years valued currently at $75,000 is $1,64,250.
What is compound interest?Compound interest is the interest that is made from the principal and the interest as well in consecutive years.
The formula for amount compounded anually:
A = P [tex](1 + \frac{R}{100})^{n}[/tex]
We have,
Principal = $75,000
Rate = 4%
Time = n = 20 years
The amount after 20 years:
A = P [tex](1 + \frac{R}{100})^{n}[/tex]
A = 75,000 [tex](1 + 0.04)^{20}[/tex]
A = 75,000 x [tex]1.04^{20}[/tex]
A = 75,000 x 2.19
A = $1,64,250
Thus,
The cost of the house in 20 years valued currently at $75,000 is $1,64,250.
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which of these ordered pairs is a solution to the inequality 4x+y>-6
The ordered pair is (1, -1) a solution to the inequality 4x+y>-6. which is the correct answer would be option (C).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We must determine if the inequality holds for a certain set of ordered pairs in order to determine which ordered pairs constitute the answer to the inequality.
We have been given inequality is:
⇒ 4x + y > -6
Option (A) (1, -12)
⇒ 4x + y > -6
Substitute x = 1 and y = -12 in the inequality, we get
⇒ 4(1) + (-12) > -6
⇒ -8 > -6
This is false.
Option (B) (0, -9)
⇒ 4x + y > -6
Substitute x = 0 and y = -9 in the inequality, we get
⇒ 4(0) + (-9) > -6
⇒ -9 > -6
This is false.
Option (C) (1, -1)
⇒ 4x + y > -6
Substitute x = 1 and y = -12 in the inequality, we get
⇒ 4(1) + (-1) > -6
⇒ 3 > -6
This is true.
Hence, the correct answer would be an option (C).
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1. Daniel served Dinner for table 14. The check came to $100. The customers tipped him 25%. How much was his tip?
2. Sammy served lunch for table 7. The total came to $55. The customers gave a 15% tip to Sammy. How much was his tip?
3. Cat served dessert for table 3 The total cost was $20. The customers give a tip of 12% to cat. How much was your tip?
At the Yum Yum Cafe , the waiters come binder tips and divide the total by the number of waiters. Today’s tip total is $132, and three waiters are working. How much money in tips does each waiter get?
Daniel, Sammy, and Cat receive $25, $8.25, and $2.40 respectively in tips. The total tip amount for the day is $132, and with three waiters working, each waiter gets an equal share of $44 in tips.
Calculating Tips for Waiters
To calculate the tip for each waiter, we will multiply the total bill amount by the percentage of the tip and then convert that percentage into a decimal. Here are the step-by-step solutions for each waiter:
Daniel's Tip: For Table 14, the bill was $100. A 25% tip is calculated as $100 x 0.25 = $25.
Sammy's Tip: For Table 7, the bill was $55. A 15% tip is calculated as $55 x 0.15 = $8.25.
Cat's Tip: For Table 3, the bill was $20. A 12% tip is calculated as $20 x 0.12 = $2.40.
To find out how much each waiter gets from the total tips, we add up all the tips: $25 + $8.25 + $2.40 = $35.65. Since the total tip amount for the day is $132, we divide this by the number of waiters working, which is three: $132 / 3 = $44. Therefore, each waiter gets $44 in tips.
Graph ƒ(x) = -x + 2. Click on the graph until the graph of ƒ(x) = -x + 2 appears.
Answer with Step-by-step explanation:
We have to graph f(x) = -x + 2
When x=0 , f(x) = 2
When f(x)=0 , x=2
Hence, the graph passes through the points:
(0,2) and (2,0)
So, the correct graph of f(x) = - x + 2 is the last one which is shown below
The sum of 6 consecutive odd numbers is 204. What is the fourth number in this sequence?
204 /6 = 34
29 +31 +33 + 35 +37 +39 = 207
4th number = 35
The fourth number is 35
Please help me i really need help
What number is 30% of 150?.
Zack is purchasing a bag of apples. The cost of apples is proportional to the weight of the apples in pounds as shown on the graph. Which statements are true about the cost of the apples?
Which statements are true about the cost of the apples?
Select each correct answer
1 lb of apples will cost Zack $2.50.
10 lb of apples will cost Zack t $4.
4 lb of apples will cost Zack $10.
2.5 lb of apples will cost Zack $1.
Answer:
1 lb of apples will cost Zack $2.504 lb of apples will cost Zack $10Step-by-step explanation:
The graph axesand common sense tell you that each ordered pair represents ...
(weight, cost)
So the ordered pairs (1, 2.50) and (4, 10) mean ...
1 lb of apples will cost Zack $2.50
4 lb of apples will cost Zack $10
A and C should be the correct answers if I'm not mistaken
Let f(x)=8^x.
Which function represents a transformation of f(x) by a vertical stretch with factor 2??
A- g(x)=1/2*8^x
B- g(x)=8^2x
C- g(x)=2*8^x
D- g(x)=8 1/2^x
Please help and give reasoning with your answer. I’m very unsure.
The function that represents a vertical stretch of factor 2 of f(x) = 8^x is g(x) = 2 * 8^x.
Explanation:The function that represents a vertical stretch of factor 2 of the function f(x) = 8^x is g(x) = 2 * 8^x.
To understand why, consider that a vertical stretch by a factor of 2 means that every y-coordinate in the graph is multiplied by 2. So, if we want to stretch the function f(x) = 8^x vertically by a factor of 2, we multiply the function by 2 to get g(x) = 2 * 8^x.
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What is the equation in point slope form of the line that passes through the point (−1, −3) and has a slope of 4?
y−1=4(x−3)
y+3=4(x+1)
I agree with the second answer. Was this correct?
PLEASE HELP
simplify the expression
2. 10r^(-7)t^3
Jackson can lay 6000 ft² of tile in 3 h. What is Jackson’s tile-laying rate?
divide 6000 by 3
6000 / 3 = 2000
so he can do 2000 sq ft per hour
The answer by musiclover10045 is correct - 2000 is the answer. I got it right on my quiz.
Lester has sold $51 worth of sports drinks at his concession stand today. Each drink sells for $3. He hopes to sell at least $300 worth of drinks over the course of the entire day. Let x be the number of drinks he will sell over the rest of the day. Which inequality precisely represents the condition of Lester meeting his goal?
A.51 + 3x ≥ 300
B.51 + 3x > 300
C.3x ≥ 300+ 51
D. 3x > 300 + 51
What is f(-4) if f(x)=|7x-3|
Calvin cleans 3/5 of his bathroom with 1/3 of a bottle of cleaning solution how much solution would he use if he cleaned the whole bathroom
A triangle has sides of lengths 6, 2, 7. Is it right triangle?
The number 1.258201... can be classified as which of the following? Select all that apply. Real, rational, irrational, whole, integer ,natural
Its a multiple choice question
The number can be classified as both real and irrational
The given number:
= 1.258201
A real number is any number that can represent a distance along a line
A rational number is a real number that can be expressed in form a ratio, it usually have terminating decimals.
An irrational number is any real number that cannot be expressed in form of ratio, it doesn't have terminating or repeating decimals.
A whole number does not contain fractions, it is usually positive integers.
Integers are whole numbers that includes negative and positive numbers.
The given number is a real number but it doesn't contain terminating or repeating decimals. Hence it is irrational number.
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Megan has a bag of beads. She uses 28 beads to make each necklace. She makes 12 necklaces. Megan has 135 beads left over.
The following triangle FOX is transformed using a rotation: Triangle FOX is shown. F is at negative 1, 1, O is at negative 2, 3, X is at negative 3, 0. Which could be coordinates of F'O'X' after the rotation? (4 points)
The answer is F=(1,1), O=(3,2), X=(0,3)
Julie yard is rectangular.One side of the yard is 100 feet wide. The total area of the yard is 3,000 square feet. What is the length of the other side of the yard?
If y = 2x - 3, then which of the following ordered pairs lies on the graph?
x(x+8) = 256 square yards
solve for x
im having a lot of trouble please help
When multiplying numbers in scientific notation you blank the coefficients and substract the exponents?
We start with triangle ABC and see that angle ZAB is an exterior angle created by the extension of side AC. Angles ZAB and CAB are a linear pair by definition. We know that m∠ZAB + m∠CAB = 180° by the . We also know m∠CAB + m∠ACB + m∠CBA = 180° because . Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA. Therefore, we conclude m∠ZAB = m∠ACB + m∠CBA using the .
To prove that m∠ZAB = m∠ACB + m∠CBA, we start with triangle ABC and use the fact that angles in a triangle add up to 180°. Angle ZAB and CAB are a linear pair, so they add up to 180°. By substitution, we can conclude that m∠ZAB = m∠ACB + m∠CBA.
Explanation:To prove that m∠ZAB = m∠ACB + m∠CBA, we start with triangle ABC. Angle ZAB is an exterior angle created by the extension of side AC. Angle ZAB and CAB are a linear pair, which means they add up to 180°. We also know that angle CAB + angle ACB + angle CBA = 180° because the angles in a triangle add up to 180°. Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA. Therefore, we can conclude that m∠ZAB = m∠ACB + m∠CBA using the fact that the angles in a triangle add up to 180°.
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Do the dimensions of 9 cm, 40 cm, and 41 cm form a right triangle? explain.
When applying for a loan, you should _____.
What is the function
Which of the following are the factors of t4 – 81? A. (t – 3)(t + 3)(t2 + 9) B. (t – 3)2(t + 3)2 C. (t – 3)(t + 3)2 D. (t2 – 9)(t2 – 9)
Un número entero de tres dígitos es igual a 25 veces la suma de sus dígitos. Si los tres dígitos se invierten, el número que resulta excede al número dado por 198.
El dígito de las decenas en uno menos que la suma de los dígitos de las centenas y de las unidades. Encuentra el número.