Answer:
24 years old
Step-by-step explanation:
let x = age of abraham, y = age of sylvia
x = 3y
x + 8 = 2y+16 => (2(y+8))
3y + 8 = 2y + 16
y = 8
x = 3(8)
x = 24
Lesson 4.03
Madame Dumas has a rather extensive art collection and the overall value of her collection has been
increasing each year. Three years ago, her collection was worth $250,000. Two years ago, the value of the
collection was $525,000 and last year, the collection was valued at $1,102,500.
Assume that the rate at which Madame Dumas's art collection's value increase remains the same as it has
been for the last three years. The value of the art collection can be represented by a geochetric sequence.
The value of the collection three years ago is considered the first term in the sequence.
A) Write an explicit rule which can be used to determine the value of her art collection n years after that.
B) Use this rule to determine the value of her collection 9 years after she started tracking its worth rounded
to the nearest dollar
Using a geometric sequence, it is found that:
a) The explicit formula is: [tex]a_n = 250000(2.1)^{n-1}[/tex].
b) The value of her collection 9 years after she started tracking is of $94,557,148.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
Item a:
Three years ago, her collection was worth $250,000, hence the first term is [tex]a_1 = 250000[/tex].
In two years, the collection was valued at $1,102,500, hence the common ratio is:
[tex]q^2 = \frac{1,102,500}{250,000}[/tex]
[tex]q^2 = 4.41[/tex]
[tex]q = \sqrt{4.41} = 2.1[/tex].
Hence, the explicit formula is:
[tex]a_n = 250000(2.1)^{n-1}[/tex]
Item b:
[tex]a_9 = 250000(2.1)^{9-1} = 94557148[/tex]
The value of her collection 9 years after she started tracking is of $94,557,148.
More can be learned about geometric sequences at https://brainly.com/question/11847927
MATH: If Mang Mario have 36 ducklings and 24 chicks. What is the greatest number of each pet that he put inside the basket, if the basket has the same number of pets? Find its Greatest Common Factor (GCF) using Prime Factorization.
Answer:
I don't know because I can't understand English language
Answer:
12.
Step-by-step explanation:
Prime factors:
36 = 2*2*3*3
24 = 2*2*2*3
Picking out the commo factors:
GCF = 2*2*3 = 12.
Marisols bedroom has an area of 29. 76 square meters. the length of the room is 6. 2 meters. what’s is the width
Answer:
4.8 m
Step-by-step explanation:
The area of a rectangle is the product of length and width. This relation can be used to find any of the dimensions when the other two are known.
__
Here, we know area and length, so we can find width.
A = LW
W = A/L = (29.76 m²)/(6.2 m) = 4.8 m
Mariosol's bedroom is 4.8 meters wide.
help me please thank you soo much
The ordered numbers from least to greatest are 33/100 = 0.33, 4/10 = 0.4, 5/10 = 0.5, 6/100 = 0.06, 3/4 = 0.75.
How do you convert fractions to decimals?Divide the top number or numerator into the bottom number or denominator.
6/100 = 0.065/10 = 0.54/10 = 0.43/4 = 0.7533/100= 0.33How to organize the numbers?When organizing decimal numbers you need to follow the same rules than when organizing regular numbers. For example, 0.5 is greater than 0.4 because 5 is greatest than 4.
Based on this, the correct order is:
33/100 = 0.334/10 = 0.45/10 = 0.56/100 = 0.063/4 = 0.75Learn more about numbers in: https://brainly.com/question/17429689
014pts)
con
(3x+10)
(2x +20)
CA
B
What does x equal?
What does < ABC equal?
What does
(2pts)
(18+)
(18+)
Show ur work 30 points
Answer:
What does x equal ? 30
What does < ABC equal? 100
What does < DBC equal? 80
Step-by-step explanation:
[tex](3x + 10) + (2x + 20) = 180 \\ 5x + 30 = 180 \\ 5x = 180 - 30 \\ 5x = 150 \\ x = \frac{150}{5} \\ \\ x = 30[/tex]
[tex]3x + 10 = 3(30) + 10 = 90 + 10 = 100[/tex]
[tex]2x + 20 = 2(30) + 20 = 60 + 20 = 80[/tex]
Find the missing sides (pls)
Step-by-step explanation:
27° + c = 180° ( supplementary angle )
c = 180° - 27
c = 153°
Now,
b = c ( vertically opposite angle )
b = 153°
How long to have 1 bitcoin when you put in 1 a day with a growing rate of 3.3% per 3 months. Current price of bitcoin 39,110. Each mont is 30 days.
Answer:
5 years
Step-by-step explanation:
Tyler bought a wedge. He measured the arc length of the wedge to be 12 centimeters and the radius to be 8 centimeters. Priya bought a wedge that came from a circular cheese block with radius 9 centimeters. The block was cut into 6 congruent sectors. Whose wedge is larger? Explain or show your reasoning.
The wedge is an illustration of arc lengths, and Tyler's ledge is larger than Priya's wedge
How to determine the larger wedge?From the question, the arc length of Tyler's wedge is:
L = 12 cm
For Priya's wedge, we have the following highlights:
Radius = 9 cm
Angle = 60 degrees i.e. the angle when a circle is divided into 6 sectors
Priya's arc length is then calculated as:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
This gives
[tex]L = \frac{60}{360} * 2 * 3.14 * 9[/tex]
Evaluate
L = 9.42
By comparing the arc lengths 9.42 and 12 cm, we have 12 cm > 9.42 cm
Hence, Tyler's ledge is larger than Priya's wedge
#SPJ1
Read more about arc lengths at:
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I need help on this question
Answer:
c
Step-by-step explanation:
I think its c because there is no relation between 2x-1 and 4-x ,it is not equals its + because there is no equals in a straight angle
- Select the equivalent expressions. 71-9y and (7x - y) (9) 5 (3t - 6) and 15 - 30 4 (6a +86) and 10a + 126 16 + 72n and (2 + 9n) (8)
Answer:
D. 16 + 72n and (2 + 9n) (8)
Step-by-step explanation:
Select the equivalent expressions.
71 - 9y and (7x - y) (9) 5(3t - 6) and 15 - 30 4(6a +86) and 10a + 126 16 + 72n and (2 + 9n) (8)Distribute to find the equivalent expressions:
A.
71 - 9y and (7x - y) (9)
71 - 9y = 9(7x) + 9(-y)
71 - 9y = 63x - 9y
Not equivalent
B.
5(3t - 6) and 15 - 30
5(3t) + 5(-6) = 15 - 30
15t - 30
Not equivalent (it's missing the variable - t)
C.
4(6a + 86) and 10a + 126
4(6a) + 4(86) = 10a + 126
24a + 344 = 10a + 126
Not equivalent
D.
16 + 72n and (2 + 9n) (8)
16 + 72n = 8(2) + 8(9n)
16 + 32n = 16 + 72n
Equivalent
Therefore the correct answer is D
Hope this helps!
Can someone help me understand on how to simplify this ?
Answer:
So first you have to make all the denominaters (bottom #s) the same so we would get 12/20-8/20+5/20 and you would solve this to equal 9/20 and to divide it by 1/6 would equal 2 7/10.
Hope this helps! (pls read the comment for free gift cards)
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
An item is regularly priced at $25 . It is now priced at a discount of 60% off the regular price. What is the price now?
Step-by-step explanation:
sp = mp-d%*mp
= $25-60/100*$25
=$10
now the price of an item is $10.
1. Find the values of a and b. The diagram is not to scale. 121 354
Answer:
3 or it could also be 1 ( also like demon slayer me tooo )
How do I find the lengths of JK and JM?
Answer: Jk is 5 units and JM is 6 units. Have a great day.
Answer: j k is 5 and j m is 6 I think
Step-by-step explanation:
PLEASE PLEASE HELP! I NEED IT TO BE CORRECT!
Answer:42.83 i think
Step-by-step explanation:
Answer:
42.83
Hope this helps and have a great day!!!
ENJOY!
Simplify 4x2−−−√.
the simplified expression is
Answer:
8
Step-by-step explanation:
chose the measurement that is about 12 feet.
the height of a house
the length of a 5 dollar bill
the width of a bed
Answer:
'12 feet'
Step-by-step explanation:
Of these threee measurements, '12 feet' is closest to the height of a house.
If the original price of an item on a sale was $21 and this price was reduced by 20% for the sale what is the price in the sale?
Answer:
$16.8
Step-by-step explanation:
Discount amount
21 x .2 = 4.2
Discount
21 - 4.2 = 16.8
Answer:
16.8
Step-by-step explanation:
What is −1/8÷7/24?
Enter your answer in the box as a fraction in simplest form.
How do I know if a score is good or not on a math map test
Answer:
on the math and reading test, 240 (reading) and 250 (math) are typical top scores.
Step-by-step explanation:
A parking garage charges a fixed amount of money for each hour that it is used.
-8 (-3.3) Multiply (-3.3) how many times? Move from 0 to where? Product:
8 times
I hope this helps you
:)
A worksheet contains over 400 rows. The first 10 rows contain input data, and functions containing summary statistics are in the last 10 rows. What is the most efficient method to see the input area and summary statistics at the same time without having to scroll back and forth between sections?.
The most efficient method to see the input area and summary statistics is to use the split command.
What is statistics?It should be noted that statistics is the branch of mathematics that deals with data collection, organization, and presentation.
In this case, the most efficient method to see the input area and summary statistics is to use the split command and adjust one pane to see the input section and another pane to see the summary statistics.
Learn more about statistics on:
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The prime factorization of 100 is 4 X 25. Show a
factor tree!
Answer: hope this helps
Step-by-step explanation:
please help me find m<G
Answer:
m∠G = 60°
Step-by-step explanation:
This is a kite, so its angles sum to 360 degrees. Write an equation adding all of the angles and make them equal to 360:
m∠H + m∠F + m∠E + m∠G = 360
90 + 150 + m∠E + m∠G = 360
Since this is a kite, m∠E = m∠G, so the equation can be represented as:
90 + 150 + 2(m∠G) = 360
Finally, solve by isolating m∠G:
2(m∠G) = 120
m∠G = 60°
HELP PLEASE URGENT!!!!!
Answer:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
θ=π/4+2πn, 3π/4+2πn, for any integer n
Step-by-step explanation:
The volume of a cylinder is 256pi in3. and the height of the cylinder is 1 in. What is the radius of the cylinder?
Answer:
9.03
Step-by-step explanation:
the formula is V=pir2h
(pi, radius squared, and height)
Solve for x and round to nearest tenth please:)
Answer:
Step-by-step explanation:
[tex]Sin \ 23^ \circ = \dfrac{opposite \ side}{hypotenuse}\\\\[/tex]
[tex]\sf 0.3907 = \dfrac{ x}{7}\\\\\\0.3907*7 =x[/tex]
x = 2.7
Answer:
x = 2.7 to nearest tenth.
Step-by-step explanation:
sin 23 = x / 7
x = 7 sin 23
x = 2.735
Zack looks at the clock and sees the hands have made a 90° angle. He realizes he has 2 hours before basketball practice starts. Which could be the angle formed by the hands of the clock when practice starts?
The angle formed by the clock is its degree measure
The angle formed by the hands of the clock when practice starts is 30 degrees
How to determine the possible angle?The current angle is given as:
Angle = 90 degrees
The basketball practice starts at:
Practice = 2 hours earlier
An hour in time represents 30 degrees.
So, the angle formed when the practice starts is
Angle = 90 degrees - 2 * 30 degrees
Evaluate
Angle = 30 degrees
Hence, the angle formed by the hands of the clock when practice starts is 30 degrees
Read more about angle measures at:
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