Tom borrowed $35,000 to remodel his house. At the end of 5-year loan, he had repaid a total of $46,375. At what simple interest rate did he borrow the money? How can I find the answer to this?
Select the points you need to calculate the average rate of change from the beginning of the slide to when the slide has covered a horizontal distance of 15 feet.
A (0, 80)
B (5, 40)
C (10, 20)
D (15, 10)
Answer: The correct options are A and D.
Explanation:
If we want to find the average rate of change from the beginning of the slide to when the slide has covered a horizontal distance of 15 feet, the we have to find the initial point and point where horizontal distance is 15 feet.
In the given graph x axis represents the horizontal distance and y axis represents the height of the slide.
From the figure it is crealy noticed that the coordinates of the points are (0,80), (5,40), (10,20), (15,10) and (20,5).
Since at the initial point the horizontal distance is 0, so the coordinates of initial point is (0,80).
The coordinates of the point where horizontal distance is 15, are (15,10).
Therefore to find the slope or average rate of from the beginning of the slide to when the slide has covered a horizontal distance of 15 feet the required points are (0,80)and (15,10). So option A and D are correct.
Answer:
A and D
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
Find the angles of the rhombus if the ratio of the angles formed by the diagonals and the sides is 4:5.
Answer: The angles are 100 degrees, and 80 degrees.
Here's an explanation:
It says that the ratio of the angles are 4:5. In a rhombus, the opposite angles are equal to each other. So, the it would be (4*2)+(5*2) = 360 degrees, since the ratio symbolizes the angle measurements. So, if you calculate that, then 18 units is 360 degrees. 4 units is 80 degrees, and 5 units is 100 degrees.
A rhombus is a quadrilateral. The angles of the rhombus are 80°, 100°, 80°, and 100°.
What is a rhombus?A rhombus is a quadrilateral such that the pair of opposite sides of the quadrilateral are parallel, and all the sides of the quadrilateral are equal.
As we know that if the ratio of the angles formed by the diagonals and the sides is 4:5, then the ratio of the angles of the rhombus is also 4:5. Also, the pair of opposite angles of a rhombus are equal to each other. Therefore, the angles of the rhombus are 4x, 5x, 4x, and 5x.
Now, as the sum of adjacent angles of a rhombus is 180. Therefore, we can write the sum as,
[tex]4x+5x=180\\\\ 9x=180\\\\x=20[/tex]
Further, the measure of the angles can be written as,
[tex]4x = 4(20) =80^o\\\\5x = 5(20) =100^o\\\\4x = 4(20) =80^o\\\\5x = 5(20) =100^o\\[/tex]
Hence, the angles of the rhombus are 80°, 100°, 80°, and 100°.
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Alex has 11 apples. He needs 5 apples to make 1 pie. If he has to make 5 pies how many more apples does he need
John is constructing a triangle with two sides 5 cm and 7 cm and the included angle is 70°. First, John draws a 5 cm segment on his paper. He is not sure how to construct the 70° angle. What should he do?
A boy flying a kite lets out 150 feet of string that makes an angle of 64 degrees w/ the ground if the stringforms a straight line how high is the kite above the ground
The height of the kite above the ground is approximately 134.82 feet.
To find the height of the kite above the ground, we can use trigonometry. The string of the kite forms a right triangle with the height of the kite as the vertical side and the length of the string as the hypotenuse. We can use the sine function to find the height. sine(64°) = height/150. Rearranging the equation, we get height = 150 * sine(64°).
Using a calculator, we find that sine(64°) ≈ 0.8988. Therefore, height ≈ 150 * 0.8988 ≈ 134.82 feet.
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If the equation y = x + 4 is changed to y = x - 2, how will the graph of the equation change?
A) The original graph will shift 2 units down.
B) The original graph will shift 6 units down.
C) The original graph will shift 6 units to the left.
D) The original graph will shift 2 units to the left.
Answer:
The original graph will shift 6 units down.
Step-by-step explanation:
Given : If the equation y = x + 4 is changed to y = x - 2.
To find : How will the graph of the equation change.
Solution : We have given
Original graph equation : y = x + 4.
Transformed equation : y = x -2.
y = x + 4 →→ y = x - 2.
If we subtract the 6 from 4 it become - 2
We can see x + 4 -6 = x -2 .
So , y = x +4 -6 →→ y = x - 2.
By the transformation rule : f(x) →→ f(x) - k it mean graph shifted down by k units.
Then the original graph will shift 6 units down.
Therefore, The original graph will shift 6 units down.
Cassandra ordered sandwich platters for a party. There were 6 different kinds of sandwiches with 5 of each kind on a platter. Cassandra ordered 5 platters in all. Part A. What is the total number of sandwiches Cassandra ordered? Explain in detail.
Part B. Each platter was shared equally by 10 guests. Cassandra says each guest will get 15 sandwiches. Is Cassandra Correct ? Explain. How many sandwiches will each guest get?
Martha tries to exercise at least 30 minutes eac day write an inequality to represent the number of minutes Martha exercises each day
This is a picture of a cube and the net for the cube. What is the surface area of this cube. Enter your answer in the box.
___ ft^2
The value of the surface area of this cube is,
⇒ 1536 feet²
What is mean by Cuboid?A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
Given that;
One side of a cube = 16 feet
We know that;
the surface area of this cube is,
⇒ 6 × (side)²
Here, Side = 16 feet
Thus, The value of the surface area of this cube is,
⇒ 6 × (side)²
⇒ 6 × (16)²
⇒ 6 × 256
⇒ 1536 feet²
Thus, The value of the surface area of this cube is,
⇒ 1536 feet²
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WILL GIVE THE BRAINLIEST!!!
PLEASE HELP!!!
The graph shows the payh of a rider on a ride ate the amusement park.
What does the x-coordinate of the vertex represent?
This should get you a hundred on the 4.11 quiz. :)
Jake carries a green a yellow and a black guitar pic in his pocket he randomly chooses a guitar pic from his pocket before every concert what is the probability he will select the same color pic for two concerts in a row
Answer:
1/3 :)
Step-by-step explanation:
if you do the math it eqals 2/6 but if you simplify it its 1/3 i did this test and got 100% ur welcome
A sugar solution was made by mixing 3 gal. of a 50% sugar solution and 9 gal. of a 30% sugar solution. Find the concentration of the new mixture.
Determine which of the following situations requires the distributive property in order to simplify the expression. Select all situations that apply.
x(2y)
9(x ∙ y)
9(x + y)
(7 ∙ a)(b)
(7 - a)(b)
(2 ∙ x) ∙ y
*(OML PLEASE HELP ME ON THIS IT'S DRIVING ME NUTS!)*
9(x ∙ y), the distributive property is not used because (x ∙ y) = xy which means that only one term can be multiplied by the term outside the parenthesis.
(7 ∙ a)(b), the distributive property is not used because (7 ∙ a) = 7a which means that only one term can be multiplied by the term outside the parenthesis.
96470000 in scientific notation
Answer: The answer is 9.647*10^7
Step-by-step explanation: in scientific notation or in standard form the expression can be written as.
9.647*10^7
This was achieved by counting one decimal place after the first digit and multiplying the the whole number by 10 raised to the power of the number counted from the write to the decimal point
The number 96,470,000 in scientific notation is written as 9.647 × 10⁷.
Given is a number we need to write it into scientific notation,
In scientific notation, a number is expressed as a product of two parts: a coefficient and a power of 10. The coefficient is a number between 1 and 10, and the power of 10 indicates the number of places the decimal point needs to be moved to obtain the original number.
To convert 96,470,000 to scientific notation, we start by moving the decimal point to the left until we have a coefficient between 1 and 10. In this case, we need to move the decimal point 7 places to the left, which gives us 9.647.
The next step is to determine the power of 10. Since we moved the decimal point 7 places to the left, the power of 10 is 7.
Therefore, we can express 96,470,000 in scientific notation as 9.647 × 10⁷.
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This floor has a grape juice stain. Tyler wants to cover the stain with the green carpet. Perform a series of two or more transformations to cover the stain. You must use at least two of the following types of transformation: reflection, rotation, translation, dilation.
Does the equation y=14x represennt a proportinal relationship?
The gas tank of your car is 40% full. There are 8 gallons of gas in the tank. What is the capacity of the gas tank? (How many gallons cam your tank hold?)
Please explain!
The capacity of the gas tank is 20 gallons
.To determine the capacity of the gas tank, we can set up a proportion based on the information given. We know that the tank is 40% full and contains 8 gallons of gas. Let's denote the total capacity of the tank as C gallons.Since 40% of the tank's capacity is equal to the 8 gallons of gas currently in the tank, we can write the following equation: [tex]\[ 0.40 \times C = 8 \[/tex]. To find the total capacity C, we divide both sides of the equation by [tex]0.40:\[ C = \frac{8}{0.40} \[ C = 20 \].[/tex] Therefore, the capacity of the gas tank is 20 gallons. This means that when the tank is completely full, it can hold 20 gallons of gas.
during the 8-month shrimping season in the Gulf mexico, 325 shrimpers caught 4,913,977 pounds of shrimp and sold the shrimp $2 per pound. if that money was split evenly between each of the shrimpers, how much money would each receive? (round your answer to the nearest dollar) and show ur work plzzzzzz
Volunteer has 12 pounds of birdseed to put in bird feeders in all of the city parks. There are 3/1/4 cups of birdseed in a pound and each bird feeder holds about 3/4 cup of birdseed. How many birdfeeders can the volunteer fill completely
20 PTS HELPPPPPPP PLEASE
Solve the system of equations using the linear combination method.
{4x−3y=12
7x−3y=3
Enter your answers in the boxes.
x =
y =
Answer:
ummm, ohhh i just realized that i entered in the wrong question and i was so confused lol
Step-by-step explanation:
in mrs marshall's classroom 6/7 of the students play sports. of the students who play sports, 4/5 also play an instrument. if there are 35 students in her class how many play sports and an instrument?
Round 165,454 to the nearest hundred thousands place
Emma wrote the expression 2(3w-6) to represent the amount of money that Juan spent.Is she correct?Explain
Total money earned by Juan = 3w-6
Now Juan saved 1/3 of the money.
So money Juan spent will be 2/3 of what he earned.
Money Juan spent :
[tex] \frac{2}{3} (3w-6) [/tex]
Simplifying we get :
2w-4
Emma wrote the expression as 2(3w-6) which is not equal to 2w-4.
So we can say that the expression found by Emma was incorrect .
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Principal Jenkins has a portion of the basketball court that needs to be repaved. This portion of the court has been split into three sections. Use the drawing of the damaged section below to complete the statements that follow.
The area of section 1 is_________ square feet, the area of section 2 is________
square feet, and the area of section 3 is_____________ square feet.
The area of the basketball court that needs to be repaved is
square feet.
a rock band has 5 members, and 2/5 of the members play string instruments. Also, 0.4 of the members sing. does the band have the same number of string instrument players as singers?
Thurston wants to retire in Nevada when he is 80 years of age. Thurston, who is now 55, believes he'll need $400,000 to retire comfortably. To date, he has set aside no retirement money. To get an interest rate of 6% compounded annually, he'll have to invest today. Using the tables found in the textbook, determine how much he must invest.
To have $400,000 for retirement in 25 years with an annual interest rate of 6% compounded annually, Thurston must invest $93,171.77 today.
Explanation:Thurston must calculate how much he needs to invest today to have $400,000 when he is 80 years old, given that he is currently 55 years old and the investment will yield 6% interest compounded annually. To find this amount, we use the formula for the present value of a lump sum, which takes into account the future value desired, the interest rate, and the number of compounding periods. The formula is:
PV = FV / (1+r)n
Where PV is the present value, FV is the future value, r is the annual interest rate, and n is the number of years until retirement.
In Thurston's case:
FV = $400,000 (the amount he needs for retirement)r = 0.06 (6% interest rate)n = 80 - 55 = 25 years (number of years until retirement)Plugging these values into the formula gives us:
PV = $400,000 / (1+0.06)25
PV = $400,000 / (1.06)25
PV = $400,000 / 4.29187072
PV = $93,171.77 (rounded to two decimal places)
Thus, Thurston must invest $93,171.77 today to retire with $400,000 in 25 years at an annual interest rate of 6% compounded annually.
Name the angle that is supplementary to < COB 1. AOF 2.COD 3.BOF 4.DOC
To find the angle supplementary to <COB, we must look for an angle that adds up to 180 degrees with <COB. Assuming <COD is adjacent and forms a straight line with <COB, option 2. COD would be the supplementary angle.
The subject of this question is Mathematics, and it requires an understanding of angle relationships, particularly supplementary angles. Supplementary angles are two angles whose measures add up to 180 degrees.
Based on the given theorems and proofs, we must assume that the angles are situated such that finding the angle supplementary to <COB involves identifying an angle that, when combined with <COB, equals 180 degrees.
Given the options provided:
1. AOF2. COD3. BOF4. DOCThe correct answer to find the angle supplementary to <COB is 2. COD, assuming that <COB and <COD are adjacent angles forming a straight line.
this year cornell's class took one more than three times as many field trips as last year's class. this year, cornell's class took a total of 7 trips. How many fields trips did bis class take last tera
Cornell's class took 2 field trips last year. This is determined by setting up and solving the equation based on the given information.
Explanation:To solve this problem, we need to set up an equation. Given in the problem that Cornell's class took one more than three times as many field trips as last year's class, we can represent this as 3x + 1 = y, where x is the number of field trips last year and y is the number of field trips this year. We know that y is 7 so we can substitute this into our equation getting 3x + 1 = 7.
To find x, you would subtract 1 from both sides of the equation giving 3x = 7 - 1, which simplifies to 3x = 6. Finally, dividing both sides of the equation by 3 gives us x = 2, so Cornell's class took 2 field trips last year.
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Create an expression that is equivalent to 8 x 24z