Answer: 12.63 years
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
A = P (1 + r) t
Where:
p = original price
r = increasing rate (decimal form)
t= years
A = price after t years
10= 3 (1 + 10/100) t
10= 3(1.1)^t
10/3= 1.1^t
log 10/3 = log 1.1^t
log 10/3 = t log 1.1
log (10/3)/ log 1.1 =t
t = 12.63 years
Feel free to ask for more if needed or if you did not understand something.
help plz will mark brainliest :)
Answer:
c
Step-by-step explanation:
subtract b from both sides
divide by x
Please help picture included!!
Use the circle to answer the question.
The formula to find the circumference of a circle is C = 2xr. Use 3. 14 for a.
4 in.
What is the approximate circumference of the circle?
A. 6.3 in.
B. 9.1 in.
C. 12.6 in.
D. 25 in.
E. 50.2 in.
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a) From where Jacob and his family have set up camp to the base of the mountain is 2,000 feet.
The angle of elevation formed from the campsite to the top of the mountain is 54. How tall
is the mountain?
b)
Jacob and his dad end up hiking up to the top. If the base of the mountain is 2.600 feet wide,
what is the total distance that Jacob and his dad hiked from their campsite to the top of the
mountain?
c)
From the top of the mountain, Jacob sees a building at an angle of depression of 24 to the
bottom of the building. How far away from the campsite is the building?
Answer:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
Step-by-step explanation:
A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54 degrees
Using SohCahToa, to calculate the height
Tan 54 = height/2000
Height = 2000 tan54 = 2752.8 feet
B.) Given that the base of the mountain is 2600 feet wide.
Let use pythagorean theorem to find the slant length
Adjacent = 2600/2 = 1300 feet
Slant length = root ( 1300^2 + 2752.8^2)
Slant length = 3044.3 feet
The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be
3044.3 + 2000 = 5044.3 feet
C.) Given that the angle of depression is 24 degrees while the height is 2752.8 feet
Using pythagorean theorem again
Tan 24 = 2752.8/distance
Distance = 2752.8/tan24
Distance = 6182.9 feet
The height of the mountain for the following conditions are as follows:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
What is Angle of Elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54⁰
To calculate the height
Tan 54⁰ = height/2000
Height = 2000 X tan54⁰ = 2752.8 feet
B.) Given that the base of the mountain is 2600 feet wide.
Let use pythagorean theorem to find the slant length
Adjacent = 2600/2 = 1300 feet
Slant length = √ ( 1300^2 + 2752.8^2)
Slant length = 3044.3 feet
The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be
3044.3 + 2000 = 5044.3 feet
C.) Given that the angle of depression is 24⁰ while the height is 2752.8 feet
Using Pythagorean theorem again
Tan 24⁰ = 2752.8/distance
Distance = 2752.8/tan24⁰
Distance = 6182.9 feet
Thus, the height of the mountain for the following conditions are as follows:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
Learn more about Angle of Elevation from:
https://brainly.com/question/16716174
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Hey anybody plz help me
thanks
Answer:
D or 11/12
Step-by-step explanation:
5/8 + 3/4 / -2/3 - 5/6
= 11/8 / -9/6
= 66/72
= 22/24
= 11/12
Mr. Morris asked Rob to shovel the snow from his driveway every day that it snowed during the month of January. He agreed to pay Rob $0.01 for the first day, $0.02 for the second day, $0.04 for the third day, $0.08 for the fourth day, and so on. If it snowed for 13 days in January, how much would Mr. Morris pay Rob on the 13th day?
Do not answer if you do not know. Only good answers with explanations.
Answer:
Total amount to be paid on 13th day is $40.96.
Step-by-step explanation:
Mr. Morris pays Rob $0.01, $0.02, $0.04 ..... on 1st, 2nd , 3rd .... day respectively.
We can clearly see that the next number is becoming double of the previous value.
The above sequence of numbers are in a Geometric Progression with
First term, a = 0.01 and
Common ratio, r = 2
We have to find the total amount paid on 13th day.
We know that the [tex]n^{th}[/tex] term of a GP is given by:
[tex]a_{n} =ar^{n-1}[/tex]
Where, a is the first term of GP
r is the common ratio
We have to find the [tex]13^{th}[/tex] term of the GP as per question statement.
Putting the values in the formula above:
n = 13
a = 0.01 and
r = 2
[tex]a_{13} = 0.01 \times 2^{13-1}\\\Rightarrow 0.01 \times 2^{12} \\\Rightarrow 0.01 \times 4096\\\Rightarrow 40.96[/tex]
Total amount to be paid on 13th day is $40.96.
A rectangular flower garden in Samantha's backyard has 100 feet around its edge. The width of the garden is 20 feet.
What is the length of the garden?
Answer:
Step-by-step explanation:
Total= 100 Ft
Width= 20
Length=?
Total - Width = Length
100 - 20 =
80 Length Of the Garden
How to solve this equation and check it. a - 2.5 = 4.5?
Answer:
Step-by-step explanation:
a - 2.5 = 4.5
2.5 = 2.5
a = 7.0 or 7
7.0 - 2.5 = 4.5
4.5 = 4.5
9) A cooler contains eight bottles of sports
drink: four lemon-lime flavored and four
orange flavored. You randomly grab a
bottle and give it to your friend. Then,
you randomly grab a bottle for yourself.
You and your friend both get lemon-lime.
Are the events independent or dependent?
What is the probability?
Answer:
dependent. 2/8=1/4
Step-by-step explanation:
asapppp
What is the lateral area of the rectangular prism
shown below?
a. 128 ft2
b. 135 ft2
c. 238 ft2
d. 504 ft2
each Stone in Ali's collection weighs about 4 oz her collection way about 24 lb in all how many stones are in Ali's collection
Answer:
The answer is 96
Step-by-step explanation:
4 oz = 0.25 lb so 0.25*24 = 96
At the amusement park each students is given $16 dollars for food. This covers the cost of 2 meals plus $4 for snacks. how much money does the school expect each student to spend per meal. Which equation can be used to represent this situation? plz help now if u can
Answer:
16 = 2x + 4
Step-by-step explanation:
The total amount of money they are given is $16. That is split up into 2 equal groups with 4 left over. So you'd have to subtract 4 from both sides. Then divide both sides by 2. This will give you the answer to how much money they expect the students to spend on food.
I need answers , I don’t know this math??
When Lori was born she weighed 7 1/2 pounds. There
are 16 ounces in every pound. What was Lori's weight
in ounces? Solve this problem any way you choose.
Answer:
Lori weight in ounces is 120
Step-by-step explanation:
(7 x 16)+ (1/2 x 16) = 120
need answer as soon as possible
Answer:
I think it would be 65 degrees
Step-by-step explanation:
If the side of Line q and line k is 115 degrees and its the same for line m and line k, then all you have to do is take 180 and subtract 115 from it to get the other side of the angle.
05.01 MC)
What is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? (5 points)
Question 4 options:
1)
y − 5 = −3(x + 2)
2)
y − 5 = 3(x + 2)
3)
y − 11 = −3(x − 2)
4)
y − 11 = −3(x + 2)
Find the area of the kite.
56 mm 2
40 mm 2
30 mm 2
80 mm 2
Answer:
30 mm 2
Step-by-step explanation:
If a wiggling string has a natural frequency of 34.5 Hz to produce 4 harmonics, what is the period of the string?
Answer:
[tex] T = \frac{1}{f}[/tex]
And replacing we got:
[tex] T = \frac{1}{34.5 Hz}= 0.0290 s[/tex]
And then we can conclude that with the conditions given the period of the string would be 0.0290 s
Step-by-step explanation:
For this case we know the frequency associated to the 4 harmonic.
We know that by definition the frequency is the inverse of the period:
[tex] f= \frac{1}{T}[/tex]
If we solve for the period we got:
[tex] T = \frac{1}{f}[/tex]
And replacing we got:
[tex] T = \frac{1}{34.5 Hz}= 0.0290 s[/tex]
And then we can conclude that with the conditions given the period of the string would be 0.0290 s
"Julie has six photos that she has taken, framed and are hanging in a row on the wall. If she wants to rearrange them so that the middle two photos stay in place, how many different ways can she arrange the photos?"
Answer:
Julie has 6 photos that she wants to rearrange.
Two of them are fixed at the middle position.
=> There are 4 photos left for rearranging.
=> This is the permutation with n = 4, k = 4.
=> The number of ways Julie can arrange the photos:
N = 4 x 3 x 2 x 1 = 24 ways
Hope this helps!
:)
I will give you all five stars ⭐⭐⭐⭐⭐
Answer:
omg really;O
Step-by-step explanation:
SOLVED
its 160
The table shows the number of mobile cellular subscriptions per 100 people in Australia for different years.
Year | Cellular subscriptions / 100 people
1993 | 4 12 25 33 57 72 90 101 101 108
1995 | 12
1997 | 25
1999 | 33
2001 | 57
2003 | 72
2005 | 90
2007 | 101
2009 | 101
2011 | 108
The quadratic regression equation using the years since 1990 for the input variable and the number of cellular subscriptions for the output variable is y=−0.107x^2+9.008x−28.851
What is the predicted number of cellular subscriptions per 100 people in Australia in 2030?
Round your answer to the nearest whole number. Enter your answer in the box.
Nvm its 160
Answer:
160
Step-by-step explanation:
x represents the years since 1990, so at 2030, x = 2030 - 1990 = 40. Replacing this value into the quadratic regression equation, we get:
y = -0.107(40)^2 + 9.008(40) - 28.851 = 160
which is the predicted number of cellular subscriptions per 100 people in Australia in 2030
Find the measure of x.
15(x+2)
X=-1
x = 7
X = 9
x=13
Answer:
x=7
Step-by-step explanation:
7+2 = 9. 9*15 = 135 degrees
Find the area of the shape shown below.
Answer:
42
Step-by-step explanation:
12+(5(12))/3
42
Answer:
42
Step-by-step explanation:
[tex]A = \frac{a+b}{2} h[/tex]
[tex]A = \frac{1+6}{2} 12[/tex]
[tex]A = \frac{7}{2}12[/tex]
[tex]A=7*6[/tex]
[tex]A = 42[/tex]
What is the length of AR if the radius of the circle is 6 cm?
Step-by-step explanation:
[tex]arc \: length \: = \frac{theta}{360} \times 2\pi \: r \\ here \: theta \: = 105 \: degrees \: \: \: \: and \\ radius \: = 6 \: cm \\ on \: substituting \: the \: values \: in \: formula \\ = \frac{105}{360} \times 2\pi \: \times 6 \\ = \frac{105}{360} \times 12\pi \\ = \frac{105}{30} \times \pi \\ = 3.5 \times \pi \\ = 3.5 \times 3.14 \\ = 10.99 \\ arc \: length \: = 11.0 \: \: (approximately)[/tex]
Makayla has 90 minutes to answer 36 questions on a school survey. How many minutes per
question does she have?
Answer:
Makayla has 2 and a half minutes to answer each question.
Step-by-step explanation:
To get two and half you will have to divide 90 from 36 then you get 2 and a half minutes. hope this helps =D
By using division as mathematical operation,
Makayla need 2 and half minutes to answer each question
What is division?"The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication. In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items. It is an operation used for equal grouping and equal sharing in mathematics."
We have
Number of minutes to answer 36 questions = 90
We have to divide 90 by 36
= [tex]\frac{90}{36}[/tex]
= 2.5 minutes
Hence, By using division as mathematical operation, Makayla need
2 and half minutes to answer each question.
Learn more about division here
https://brainly.in/question/5910014
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Find the area of the shape shown below.
Answer:
44.5
Step-by-step explanation:
(1 x 12) + (5 x 13)/2 = 44.5
Answer: 44,5 cm2
Step-by-step explanation:
Rektangel:
1 × 12 = 12 cm2
triangel:
13 × 5 = 65 cm2
78 ÷ 2 = 32,5 cm2
Area:
32,5 + 12 = 44,5 cm2
FIND the Perimeter of this composite figure.
Answer:54
Step-by-step explanation:54
may someone help me out, i having a little bit of trouble.
Which values satisfy the inequality? 2 ≥ y/5 -1
Choose all answers that apply:
A: y=15
B: y=20
C: y=25
Answer:
A is correct, B and C are not!
Step-by-step explanation:
2 ≥ y/5 -1 means 2 is greater than or equal to the number on other side
So try those answers (15, 20, and 25) as y
2≥ 15/5-1
2≥3-1
2≥2
True! So A, 15, works
2≥20/5-1
2≥4-1
2≥3
False! So B, 20, does NOT work!
2≥25/5-1
2≥5-1
2≥4
False! So C, 25, does NOT work!
Hope this helps! Please mark brainiest :)
PLEASE HELP!!! will give brainliest
Pythagorean Theorem: Find the diagonal length of the soccer field.
Answer:
6600 yrds
Step-by-step explanation:
sorry if its wrong
Which table of ordered pairs represents a proportional relationship?
Answer:
The first table
Step-by-step explanation:
Because both side -1 every time.
Answer: C
Step-by-step explanation:
It represents a proportional relationship because each time they add two
