Of each side of a equilateral triangle has a measure of 14 units what is the measure of the altitude (1 point)
Consider a 15-year mortgage at an interest rate of 8% compounded monthly. The amount to be mortgaged is $130,000. After the first month's payment, what is the new outstanding principal?
To find the new outstanding principal after the first month's payment on a 15-year mortgage at an 8% interest rate compounded monthly, we calculate the monthly interest and subtract it from the original principal.
Explanation:To find the new outstanding principal after the first month's payment, we need to calculate the monthly interest and subtract it from the original principal. Here are the steps:
Convert the annual interest rate to a monthly rate by dividing it by 12: 8% / 12 = 0.67%.Convert the mortgage amount to a decimal: $130,000Calculate the interest for one month: $130,000 × 0.67% = $871.67Subtract the interest from the original principal: $130,000 - $871.67 = $129,128.33Therefore, the new outstanding principal after the first month's payment is $129,128.33.
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A survey finds that 40% of students ride in a car to school. Eri would like to estimate the probability that if 3 students were randomly selected, only 1 rides in a car. To simulate this probability, she lets the numbers 0, 1, 2, and 3 represent a student who rides in a car to school and then 4, 5, 6, 7, 8, and 9 represent a student who does not ride in a car to school. She then has a computer randomly select 3 numbers. She repeats this process for 20 trials. The results of these trials are shown in the table. 468 380 120 220 553 945 935 607 473 490 074 981 692 518 408 954 943 389 594 569 Based on this simulation, what is the estimated probability that only 1 of 3 randomly selected students rides in a car to school? Enter your answer, as a decimal, in the box.
The estimated probability that only 1 of 3 randomly selected students rides in a car to school is 0.4 or 40%.
Explanation:The estimated probability that only 1 of 3 randomly selected students rides in a car to school can be calculated by dividing the number of trials where only 1 student rides in a car by the total number of trials. In this case, there were 8 trials where only 1 student rides in a car out of a total of 20 trials.
Therefore, the estimated probability is:
8 / 20 = 0.4
So, the estimated probability is 0.4 or 40%.
Which expressions are equivalent to 3(x + 3y + 2x − y )?
3(3x + 2y) and 9x + 6y
3(3x + 4y) and 9x + 12y
3(x + 4y) and 3x + 12y
3(x + 2y) and 3x + 6y
HELP ASAP
Hello,
The correct answer is A) 3(3x + 2y) and 9x + 6y
Hope this helps!!!! (:
does the orders pair (2,14) lie on the graph of y=12x?
classify the scatter plot as having a negative or no correlation. HOMEWORK DUE TOMORROW
The table shows the membership of two scout troops.
a. What is the percent of change in membership from 2010 to 2011 for Troop A? Round to the nearest tenth of a percent, if necessary.
b. What is the percent of change in membership from 2010 to 2011 for Troop B? Round to the nearest tenth of a percent, if necessary.
c. Which troop has the better record in terms of the number of new members?
d. Which troop has the better record in terms of the percent of change in membership?
Answer:
a. What is the percent of change in membership from 2010 to 2011 for Troop A?
[tex]\frac{16-14}{14}*100[/tex] = 14.28%
b. What is the percent of change in membership from 2010 to 2011 for Troop B?
[tex]\frac{24-21}{21}*100[/tex] = 14.28%
c. Which troop has the better record in terms of the number of new members?
Troop B.
d. Which troop has the better record in terms of the percent of change in membership?
Both have the same percentage change.
Lines a and b are parallel. What is the measure of angle b? Enter your answer in the box. b = ∘ Two horizontal lines the top line labeled a and the bottom labeled b with an angled line intersecting both making eight angles, top right angle labeled seventy nine degrees and the bottom right angle labeled X degrees
Answer:
It's 79 I took the test
Stay Alive ~ T∅P I-/
Step-by-step explanation:
Answer:
The measure of [tex]m{\angle}b[/tex] is [tex]79^{\circ}[/tex].
Step-by-step explanation:
Given: Lines a and b are parallel to each other.
To find: The measure of the angle b.
Solution: It is given that Lines a and b are parallel to each other, thus using the parallel lines properties, we have
[tex]m{\angle}a=79^{\circ}[/tex] (Vertically opposite angles)
Now, [tex]m{\angle}a[/tex] and [tex]m{\angle}b[/tex] forms the corresponding angle pair, thus they are congruent.
Hence, [tex]m{\angle}a[/tex]=[tex]m{\angle}b[/tex]=[tex]79^{\circ}[/tex].
Therefore, the measure of [tex]m{\angle}b[/tex] is [tex]79^{\circ}[/tex].
IF Mary had 500.004 in the bank and earns an annual interest rate of 2%, how much will she earn in one year?
4w^3−8w+12
factor the polynomial
5t^2+20t+50
factor the polynomial
Read the following statement: Line segment AB is congruent to line segment QR. Which of the following is an equivalent statement?
AB overbar is similar to QR overbar
AB overbar equals QR overbar
AB overbar is an element of QR overbar
AB overbar is congruent to QR overbar
Answer: [tex]\overline{AB}[/tex] is congruent to [tex]\overline{QR}[/tex].
OR
AB overbar is congruent to QR overbar.
Step-by-step explanation:
The given phrase : Line segment AB is congruent to line segment QR.
We know that to represent a line segment MN we write it in the below notation:-
[tex]\overline{MN}[/tex] (By putting a bar on the name)
Similarly , Line segment AB can be written as [tex]\overline{AB}[/tex] and Line segment QR can be written as [tex]\overline{QR}[/tex]
Therefore , we write the given phrase as : [tex]\overline{AB}[/tex] is congruent to [tex]\overline{QR}[/tex].
If a scientist knows the relative age of a fossil, he can also know A. the type of climate from which it came. B. the relative age of the rock where it was found. C. how it became extinct. D. how long the organism was alive.
its science but it made me pick math
Answer:
the relative age of the rock where it was found.
Explanation:
Study Island
a line inintersects at triangle at least once, but not at any of its vertices. What is the maximum number of sides that a line can intersect a triangle? similarly, a square? a convex quadrilateral? A quadrilateral , in general?
2. Jamie is the starting pitcher for his baseball team. The coach recorded the number of pitches he threw in one game. Each pitch is either a ball, strike or hit. The coach recorded that 54 pitches, or 60%, were strikes. What is the total number of pitches that Jaime threw in this game?
Answer:
90
Step-by-step explanation:
:)
find the area of the trapezoid with a base of 19 inches, height 12.6 inches and base 29.2 inches
please help me
The perimeter of a rectangle is 141 feet, and the length is twice the width. What are the dimensions of the rectangle?
What's the width of the rectangle and what's the length?
To find the width and length of the rectangle, we used the perimeter formula and the given relationship between length and width. The width of the rectangle is 23.5 feet and the length is 47 feet, which are found by dividing the perimeter by the sum of the multipliers of width and then multiplying the width by 2 to find the length.
Explanation:The student asked for help with finding the dimensions of a rectangle given its perimeter and a relationship between its length and width. To find the dimensions of the rectangle, we can use algebra.
Firstly, we know the formula for the perimeter (P) of a rectangle is P = 2l + 2w, where l is the length and w is the width. Since we are given that the perimeter is 141 feet and the length is twice the width (l = 2w), we can set up the following equation:
141 = 2(2w) + 2w
Simplifying the equation, we get:
141 = 4w + 2w
141 = 6w
w = 141 / 6
w = 23.5 feet
Since the length is twice the width, the length (l) is:
l = 2 × 23.5 feet
l = 47 feet
Therefore, the dimensions of the rectangle are a width of 23.5 feet and a length of 47 feet.
Can someone help please........ thanks
Sam owns a small business. There was a loss of $16 on Thursday and a loss of $9 on Friday. On Saturday there was a loss of $5, and on Sunday there was a profit of $27. Find the total profit or loss for the 4 days.
Alicia is making a triangular sign for the school play. The area of the sign is 558 in. The base of the triangle is 36in. What is the height of the triangle?
Answer:31 in
Step-by-step explanation:558 ×1/2 ×36 × h = 31 in
Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made
86 chocolate chip cookies and
42 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?
Answer:
2
Step-by-step explanation:
To be able to find the greatest number of identical packages that Shaquira will be able to make, we first need to find the prime factors of the Chocolate Chip Cookies and Sugar Cookies.
86 Chocolate Chip Cookies
42 Sugar Cookies
Let's take the 86 Chocolate Chip Cookies first.
[tex]86 \left \{ {{2} \atop {43}} \right.[/tex] or 86 = 2 x 43
Now let's take the Sugar Cookies.
[tex]42 \left \{ {{2} \atop {21\left \{ {{3} \atop {7}} \right. }} \right.[/tex] or
42 = 2 x 3 x 7
Now that we have the prime factors, we then look for the Greatest Common Factor between the sets of prime factors.
2 x 3 x 7 = 42
2 x 43 = 86
2 = Total number of identical packages.
Answer:
2
Step-by-step explanation:
the diagram shows the shape of the green of a miniature golf hole. what is the area of the green?
The area of green of golf course can be found by summing the area of pieces like that given rectangles and triangles.
The resultant area of the green of the golf course is given by:
100 sq. feet
Composing the area:You have to calculate the area of those smaller pieces to find the total area of the green of the golf course.
Total area = sum of area of trapezoid and parallelogram.The trapezoid in left of figure has height of 4 feet and parallel sides of 8 feet and 12 feet respectively.
Thus:
Area of trapezoid = [tex]\dfrac{1}{2}.\text{sum of parallel sides} \times height[/tex]
Area of trapezoid = [tex]\dfrac{1}{2}.4.(12+8) = 40 \: \rm feet^2[/tex]
The parallelogram on left has height 4 feet and base is of 15 feet.
Thus:
Area of parallelogram = [tex]\text{base} \times \text{height}[/tex] = [tex]4 \times 15 = 60 \: \rm feet^2[/tex]
Thus,
Total area = 40 + 60 = 100 sq. feet.
The resultant area of the green of the golf course is given by:
100 sq. feet
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Members at a yoda school pay $11 per class plus a one-time $96 membership fee. Non members pay $14 per class. How many classes would a member have to take to save money compared to taking classes as a non-member?
Eleven is 20% of _______?
Answer: the answer is 55, eleven is 20% of 55
which of the following sets of numbers will form a right triangle A. 12,13,14 B. 15,16,18 C. 5,6,9 D.5,12,13
Two consecutive odd numbers are such that seven times the smaller, subtracted from nine times the bigger, gives 144. Find the numbers.
The smaller odd number is 63, and the next consecutive odd number is 65.
To find the consecutive odd numbers, an algebraic equation is set up and solved, yielding the smaller odd number as 63 and the next consecutive odd number as 65.
To find two consecutive odd numbers meeting the stipulated condition, we will set up an algebraic equation. Let the smaller odd number be represented by n, then the next consecutive odd number is n + 2. The given condition is that seven times the smaller odd number subtracted from nine times the bigger odd number equals 144. This can be expressed as the equation 9(n + 2) - 7n = 144.
Solving the equation:
Expand the equation: 9n + 18 - 7n = 144Combine like terms: 2n + 18 = 144Subtract 18 from both sides: 2n = 126Divide both sides by 2: n = 63Therefore, the smaller odd number is 63, and the next consecutive odd number is 65.
Let f(x)=81+3e−0.7x .
What is the value of f(−3) ?
Round the answer to the nearest hundredth.
Answer:
[tex]f(-3)=91.25[/tex]
Step-by-step explanation:
Given :f(x)=81+3e−0.7x
To Find: Value of f(−3)
Solution:
[tex]f(x)=81+3e−0.7x[/tex]
Putting x = -3
[tex]f(-3)=81+3e−0.7*(-3)[/tex]
[tex]f(-3)=81+3e+2.1[/tex]
[tex]f(-3)=83.1+3e[/tex]
Since the defined value of e = 2.718
⇒[tex]f(-3)=83.1+3*(2.718)[/tex]
⇒[tex]f(-3)=83.1+8.154[/tex]
⇒[tex]f(-3)=91.25[/tex]
Thus the value of [tex]f(-3)=91.25[/tex]
Answer:
5.85
Step-by-step explanation:
Use a strategy to solve this problem. (Note: I seriously need help and this is due on Sunday!!)
Ian is given some red licorice that is wrapped in a coil. Upon flattening the licorice, Ian discovers that the total length is 60 cm. He then cuts the licorice into two pieces so that the ratio of the lengths of the two pieces is 7:3. Each piece is then bent to form a square. What is the total area of the two squares?
can someone help me with this
convert 35/8 to a decimal using long division
what are alternate interior angles??