Answer: 8 years
Step-by-step explanation:
You can find this out use the Rule of 72. By dividing 72 by the fixed interest rate, you can estimate the amount of time it will take for an investment to double in size:
= 72/10
= 7.2 years
= 8 complete years
Example:
Assume they invested $1,000. Interest rate is 10%.
Amount after 8 years will be:
= 1,000 * (1 + 10%)⁸
=$2,143.59
Investment is now more than double.
Find the inverse of the function f(x) = 2x - 4.
Answer:
f⁻¹(x) = 1/2 x + 2
Step-by-step explanation:
f(x) = 2x - 4 y=2x - 4
swap x and y: x = 2y - 4
solve y: 2y = x + 4
y = 1/2 x + 2
Inverse notation: f⁻¹(x) = 1/2 x + 2
Line segment AB is divided by point C in the ratio 1:2. Point A is at (-6, 6) and point C is at (2, 4). What are the coordinates of point B?
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Answer:
B(10, 2)
Step-by-step explanation:
The division by point C means ...
B -C = 2(C -A)
B = 3C -2A . . . . . add C and simplify
B = 3(2, 4) -2(-6, 6) = (3·2 -2(-6), 3·4 -2(6)) . . . . fill in the coordinate values
B = (6+12, 12-12)
B = (18, 0)
Please I dont wanna fail :( help me
Answer:
f = 132 degrees
Step-by-step explanation:
The total angle measure of this is 360 degrees. We know 2 of the angles, so subtract them from 360 to get 198. The sum of f and g must equal 198 degrees. Since we know that f = 2g, we can divide 198 by 3 to get 66. So, we know g = 66. To find f, multiply 66 by two to get 132. So, g = 66 and f = 132
A figure is composed of four squares of the same size and four triangles of the same size. Each square has a side length of 5.9 cm, as shown 5.9 cm 5.9 cm Which of these is closest to the area, in square centimeters, of the figure? a. 71 b. 94 С. 209 d. 278
Answer:
c
Step-by-step explanation:
2(x + 3) + 5(x + 7)
Simplified
Answer:
7x + 41
Step-by-step explanation:
2(x + 3) + 5(x + 7) ← distribute both parenthesis
= 2x + 6 + 5x + 35 ← collect like terms
= 7x + 41
While attempting to multiply the expression (2-5i)(5+2i) a student made a mistake.
(2-5i)(5+2i)= 10+4i -25i - 10i^2
=10+4(-1)-25(-1) - 10(1)
=10-4+25-10
=21
What is the error?
Answer:
The left side of the equation is ignored
i is treated as -1, which it is not, it is instead the square root of negative 1.
To solve it properly we get:
(2 - 5i)(5 + 2i)
= 10 + 4i - 25i - 10i²
= 10 + 21i + 10
= 20 - 21i
Answer:
The error is that, the student replaced i with -1 which is wrong as i = √-1
And he has replaced i^2 with 1 while i^2 = -1
Step-by-step explanation:
Given two numbers that are being multiplied are:
(2-5i)(5+2i)
We will solve the question to get the right result so that the error can be detected.
So, multiplying both
[tex]= 2(5+2i)-5i(5+2i)\\=10+4i-25i-10i^2\\=10-21i-10(-1)\ \ \ as\ i^2 = -1\\=10-21i+10[/tex]
The error is that, the student replaced i with -1 which is wrong as i = √-1
And he has replaced i^2 with 1 while i^2 = -1
The figure to the right has its Congruent segments marked. AB=__ meters
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Answer:
20 meters
Step-by-step explanation:
The single hash mark on AB matches the single hash mark on AC, so AB = AC. AC is marked as 20 meters, so AB is 20 meters.
A marketing manager wants to package 48 promotional items into 1 supervalue pack and 10 smaller promotional packs. He uses 8 items for the supervalue pack and equally divides the rest into the smaller packs. How many items will be in each of the smaller packs?
A. 2 items
B. 4 items
C. 38 items
D. 40 items
Suppose y varies directly with x. Write an equation if y = 4 when x = 0.4.
A rectangle has a length of (3x-1) and a width of (x - 2). What is equation to determine the area?
(Recall that area comes in the form of length time width)
Answer:
x-5
Step-by-step explanation:
Jose rides his bike to school every day. It takes him 11.7 minutes to ride from home to school. When he rides from school to home, it takes him 2.2 more minutes. How many minutes does Jose ride his bike every day?
Answer:
25.6 minutes
Step-by-step explanation: add 11.7 and 2.2 then add 11.7 again
10(g+5)=2(g+9).
please help
Answer:
g=-4
Step-by-step explanation:
Which table represents a linear function?
Answer:
the second one
Step-by-step explanation:
The table that represents a linear function is the first one, where the values of y are obtained by multiplying the corresponding values of x by a constant factor of 5.
The first table:
x: 1,2,3,4,5
y: 5,20,45,80,125
In this table, the values of y are obtained by multiplying the corresponding values of x by a constant factor of 5.
The relationship between x and y is consistent and can be expressed by the equation y = 5x, which is a linear function.
The second table:
x: 1,2,3,4,5
y: 5,25,125,625,3125
In this table, the values of y are obtained by raising the corresponding values of x to increasing powers of 5.
The relationship between x and y is not consistent and cannot be expressed by a linear function.
Learn more about the Linear functions here:
https://brainly.com/question/13738061
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On Wednesday, Larry ran 3 miles at 7 mph. How long did it take him to run the 3 miles?
Find the slope of the line that passes through (10,9) and (1,1).
Answer:8/9
Hope this helps!!!!!!!
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pls helppppppppppp
Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?
Answer:
okkk
Step-by-step explanation:
Answer:
I'm gonna say either 3/4 or 7/8. Don't quote me on it tho?!
Step-by-step explanation:
Which ordered pair is not a solution to the equation y = 2x?
Answer:
Step-by-step explanation:
Y=1/2y
4-3y+(-7y)+6.9=
Fast PLZ!
Use exponents to write each expression.
6 x 6 x 6 =
Answer:
6×6×6 = 6³
Step-by-step explanation:
Answer:
6 x 6 x 6 = 216 I believe that's right
what's the length of line AB if point A is at (6,3 and point B is at (8,-8)
Answer:
Step-by-step explanation:
Solution,
Here,
A=(6,3) (x1,x2)
B=(8,-8) (y1,y2)
AB=?
Now,
(AB)^2=(x2-x1)^2+(y2-y1)^2
Now putting the value of x1,x2,y1,y2
=(3-6)^2+(-8+8)^2
= (-2)^2+(0)^2
= (-4,0)
AB=(-4,0)
Hope it helped you.
Plz mark me brainliest.
Which is the better value?
A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70
Answer:
B
Step-by-step explanation:
2.16/6 = 0.36 cents per 1 ounce
2.70/10 = 0.27 center per 1 ounce
Therefore B. 10 ounces of hot Cheetos for $2.70
Find the value of x.
Answer:
110 degrees
Step-by-step explanation:
The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.
Now, add up all the angles that you know and subtract that from 900 to find the value of x.
900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees
The table shows the colors of marbles in a bag.
hat is the ratio of green marbles to the sum of red and yellow marbles in the bag?
Answer:
12:18
Step-by-step explanation:
Answer:
2:3
Step-by-step explanation:
green marbles: 12
red+yellow: 18
12:18
(divide by 6 on both sides)
2:3
On a trip , Joel drove 24 miles more than Rita drove . Together they drove 340 miles . How many miles did Joel drive
Answer:
U didn't say how many miles Rita drove.
SOMEONE PLEASE HELP!!!
Three friends went to the batting cage. Cameron made 36 hits, Austin made 14 hits, and Jordan made 24 hits. How many hits did the three make in all?
A.
60
B.
50
C.
38
D.
74
Answer:
36+14+24=74
Step-by-step explanation:
How i figured it out is if you add 36+14 that equals 50 and 50+24=74
that is your answer.
hope this helps;)
Select the correct answer.
In which table does y vary directly with x?
Answer:
Option C.
Step-by-step explanation:
y and x have a Direct variation if the function looks looks like y = mx (b is equal to zero). The only option that can be written like that is option C. And it can be written as
y = 26x
7.0 x 10^3 + 2.0 x 10^2
Answer:
7200
Step-by-step explanation:
Find the exponents first.
10^3 = 1000
10^2 = 100
So..
7 x 1000 + 2 x 100
Do the multiplication first (BEDMAS - Brackets Exponents Division Multiplication Addition Subtraction).
7000 + 200 = 7200
MARKING BRAINLIST!!! In a couplet one statement is _____ and one is ______
A. Agreeing and rejecting
B. Deciding and Acting
C. Informing and Agreeing
Some number was divided into 42. This quotient was then multiplied by 8,after which the resulting product was added to 10. Given this sum totalled to 34,find the initial number.
Answer:
126
Step-by-step explanation:
In order to find the initial number, we need to create the expression that is being mentioned and solve for the initial value by applying the opposite expressions to isolate the variable.
(((x / 42) * 8) + 10) = 34 ... subtract 10 from both sides
((x / 42) * 8) = 24 ... divide both sides by 8
(x / 42) = 3 ... multiply both sides by 42
x = 126
Finally, we can see that the initial value was 126
