Answer:
6.2+6^4
6.2+1.296
7.496
Autumn wants to invest $1000. The table below shows the value of her investment under two different options for three different years:
Number of years 1 2 3
Option 1 (amount in dollars) 1100 1200 1300
Option 2 (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your reasoning. (4 points)
Part B: Autumn wants to invest in an option that would help to increase her investment value by the greatest amount in 7 years. Will there be any significant difference in the value of Autumn's investment after 7 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 7 years for each option if the equation for option 1 is f(x)=100x + 1000 and the equation for option 2 is g(d) = 1000(1.1)d
Answer:
See belowStep-by-step explanation:
Part AAccording the table, the yearly amount increases by 100 dollars in option 1 and 1.1 times in option 2.
It means the function is linear in option 1 and exponential in option 2.
Part BCalculate the amount of total value in each case substituting x or d by 7 and compare the amounts:
f(7) = 100*7 + 1000 = $1700g(7) = 1000*(1.1)^7 = $1948.72 (rounded)As we see the option 2 is better choice and the difference is:
$1948.72 - $1700 = $248.72Find the 82nd term of the arithmetic sequence —8, 9, 26, ...
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY. A wire is needed to support a vertical pole 8 feet tall. The cable will be anchored to a stake 6 feet from the base of the pole. How much cable is needed?
Answer: The answer is 10 feet of cable.
What is the cash payment of a article costing RS.2020 allowing a discount of Rs.20 and levying 13% VAT?
The cash payment for the article is RS. 2,260.
A discount reduces the price of an item. The article becomes cheaper after the discount.
Cost of the article after the RS. 20 discount = RS. 2020 - 20 = RS 2000
VAT means value added tax. VAT increases the price of an item. The cost of the article increases by 13% after the VAT is levied,
Cost of the article = (100 + 13%) x 2000
1.13 x 2000 = RS 2,260.
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helppppppppppppppppppppppppppppppppppppppp
Help me with this pleassssseeeedeeeeeeee..
Can someone help me with these 2 problems I’ve been stuck on them for a very long time :’) tysm!!
Answer:
Christmas How many pouds this proportion to solve
Pls help! Will mark Branliest!! 50 points for whoever answers!!!!!!
Answer: See below
Step-by-step explanation:
Isolate x for x-2y+2z=9
3x=9+2y
[tex]x=\frac{9+2y}{3}[/tex]....(1)
Substitute (1) into the 2nd equation
[tex]\begin{bmatrix}-\frac{9+2y}{3}+3y=-4\\ 2\cdot \frac{9+2y}{3}-5y+3z=16\end{bmatrix}[/tex]
[tex]\frac{3\left(-9+7y\right)}{3}=3\left(-4\right)[/tex]
7y=-3
y=-3/7
Substitute y=-3/7
[tex]\begin{bmatrix}3z+\frac{18-11\left(-\frac{3}{7}\right)}{3}=16\end{bmatrix}[/tex]
[tex]\begin{bmatrix}3z+\frac{53}{7}=16\end{bmatrix}[/tex]
Isolate z by substituting it
[tex]3z+\frac{53}{7}=16[/tex]
[tex]\frac{3z}{3}=\frac{\frac{59}{7}}{3}[/tex]
[tex]z=\frac{59}{21}[/tex]
For x =9+2y/3 substitute z=59/21 and y=-3/7
[tex]x=\frac{9+2\left(-\frac{3}{7}\right)}{3}[/tex]
[tex]x=\frac{19}{7}[/tex]
[tex]x=\frac{19}{7},\:z=\frac{59}{21},\:y=-\frac{3}{7}[/tex]
Answer:
(1, - 1, 3 )
Step-by-step explanation:
x - 2y + 2z = 9 → (1)
- x + 3y = - 4 → (2)
2x - 5y + 3z = 16 → (3)
Add (1) and (2) term by term to eliminate x
y + 2z = 5 → (4)
Multiply (2) by 2
- 2x + 6y = - 8 → (5)
Add (3) and (5) term by term to eliminate x
y + 3z = 8 → (6)
Subtract (6) from (4) term by term to eliminate y
- z = - 3 ( multiply both sides by - 1 )
z = 3
Substitute z = 3 into (4)
y + 2(3) = 5
y + 6 = 5 ( subtract 6 from both sides )
y = - 1
Substitute y = - 1, z = 3 into (1) and solve for x
x - 2(- 1) + 2(3) = 9
x + 2 + 6 = 9
x + 8 = 9 ( subtract 8 from both sides )
x = 1
solution is (1, - 1, 3 )
What is the slope of this graph?
0.3
-3
los
1
3
3
1
2 3 4 5
Answer:
A
Step-by-step explanation:
Use the formula rise/run. The rise, in this case, was 3 and the run was 1. There for it would be 3/1 which is simplified to 3.
what is 2/3 x 9/8 as a fraction in simplest form
Answer: [tex]\frac{3}{4}[/tex]
Have attached the picture for explanation...
The product of the fraction in the simplest form is 3/4
What is a fraction?A fraction is a figure that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.
What is the product of the fraction?2/3 x 9/8 = 18/24 = 3/4
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How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve this using unitary method ~
[tex] \sf3 \: seconds = 63 \: meters[/tex][tex] \sf1\: second= 63 \div 3 \: meters[/tex][tex] \sf1\: second= 21 \: meters[/tex][tex] \sf5\: seconds= 21 \times 5 \: meters[/tex][tex] \sf5\: seconds= 105 \: meters[/tex]Therefore , the ostrich will run 105 meters in 5 seconds.
Math is multi-cultural, analytical, timeless and hands-on. Provide a piece of mathematical concept, hypothesis, law, paradox, rule or theorem to prove this statement.
It should be noted that mathematics is multicultural. This implies that mathematics applies to different cultures.
Mathematics is multicultural and it's neutral from the issues of races, gender, class, etc. Also, it should be noted that mathematics is analytical.Furthermore, mathematics is timeless and hands-on. This implies that students need to touch and feel what they're learning through a concrete experience.Learn more about mathematics on:
https://brainly.com/question/12798024
= 3 and 1/2 × 3 and 1/2
Step-by-step explanation:
please mark me as brainlest
Classify the number -5
Integer
1. Whole Number
2. Irrational Number
3. Natural Number
Answer:
1. Whole number
Step-by-step explanation:
It's a negative number, but it is not a decimal, therefore it is a whole number.
(1, 5), (2, 7), (3, 10), (4, 12) solve for domain
D={5, 7, 10, 12}
D={1, 2, 3, 4}
D={1, 5, 2, 7}
Cannot be determined
1) Find the probability of rolling a
number greater than 3 on a standard
number cube.
Answer:
50%
Step-by-step explanation:
Lester has 2 toy cars. Ivan has t times as many toy cars as Lester. Write an expression that shows how many toy cars Ivan has
Answer:
I=2t
Step-by-step explanation:
ivan has 2 times t
round 0.006772 to 1 significant figure
Answer:
0.007
Step-by-step explanation:
0's before other numbers are non-significant. Then you just round your number.
Hope that helps
What is -7w-4-5w+13 simplified?
You are virtually racing against your friend who lives on Spain where they use the metric system. You measured that you ran 430 feet per minute and your friend measured that they ran 6.5 kilometers per hour. Which of you is faster?
ANSWER PLZZ NO LINKS PORFA
How many miles longer is Trail A than Trail B?
benny uses 2/5 grams (G) of toothpaste each time he brushes his teeth. If benny buys 30-g tube, how many times will be able to brush his teeth?
Answer:
75
Step-by-step explanation:
First divide 2/5 to get 0.4. Then divide 30 by 0.4 to get the answer. A simple way to think about it is how many 0.4 grams are in 30 gram tube.
solve for x and explain the steps:
3x-6=4(2-3x)-8x
Answer: x = 14/23
Step-by-step explanation:
3x-6=4(2-3x)-8x
3x-6=8-12x-8x --> Expand 4(2-3x)
3x-6=8-20x --> Collect like terms
3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side
3x=-20x+14
3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side
23x=14
[tex]\frac{23x}{23}=\frac{14}{23}[/tex] --> Divide both sides by 23
x = 14/23
5(x-2)-3= 5x-13
help me plz
Quien me ayuda? pls!!!
Answer:
The answer is B
Step-by-step explanation:
You need to find the derivitive of the equation and ,ultiply by B!!!
WHAT DOES AN ANIMAL BREEDER DO?????????
I LITERALLY NEED HELP ON THIS ONE!!
Some school commercial thingy.
Answer:
Breeders cross animals of the same species with desirable traits to create desirable offspring.
Step-by-step explanation:
Help plz im on a timer at school
Answer:
it is reduction so the answer is B.
Step-by-step explanation:
Simplify (y²z⁴)³ and explain answer
Answer:
y^6 z^12
Step-by-step explanation:
When the bases are the same that means that the powers on the inside can be multiplied by whatever is outside.
Hope this helps :)
Jeremy got a haircut and paid 15% as a tip. What percent of the cost did Jeremy pay the barber, including the tip?
The percentage of the cost that Jeremy will pay including the tip paid is 115% of the cost.
Assuming the cost was $100 and Jeremy gave a 15% tip. The total he would pay is:
= 100 + tip
= 100 + (100 x 15%)
= $115
In percentage this is:
= 115/100 x 100%
= 115%
In conclusion, Jeremy would pay 115% of the tip.
Find out more at https://brainly.com/question/22444616.
A boat can travel 120 kilometers on 60 liters of gas. How far can it travel on 197 liters
Answer:
394 km
Step-by-step explanation:
197 is 197/60 times as much as 60
so the distance is also that much more: 120 km * 197/60 = 394