The following statement are true:
An investment of $5,000 will double in 6 years at an annual compound interest rate of 12%.An investment of $350 will double in 9 years at a compound interest rate of 8%. An investment of $2000 will double at a simple interest rate of 5% in 20 years.What is rule 72?It's an easy way to calculate just how long it's going to take for your money to double. Just take the number 72 and divide it by the interest rate you hope to earn. That number gives you the approximate number of years it will take for your investment to double.
Using the formula
time for doubling money= 72/R
First, An investment of $5,000 will double in 6 years at an annual compound interest rate of 12%.So, 72/12 = 6 years
Thus, It will take 6 years to double the investment. This statement is true.
Second, An investment of $1000 will double at an annual compound interest rate of 18% in 6 years.So, 72/18 = 4 years
Thus, It will take 4 years to double the investment. This statement is not true.
Third, An investment of $350 will double in 9 years at a compound interest rate of 8%.so, 72/8= 9 years.
Thus, It will take 9 years to double the investment. This statement is true.
Fourth, An investment of $2000 will double at a simple interest rate of 5% in 20 years.So, interest = PRT/100
I = (2000 × 0.05 × 20)
I = $2000
Thus, This statement is true.
Fifth, An investment of $700 will double in 12 years at a simple interest rate of 6%Interest = ( 700 × 0.06 × 12 ) = $504
Amount after 12 years
=700 + 504
= $1204.
Thus, This statement is not true.
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solve 3cosx = 2+cosx
x= 0.
Step-by-step explanation:1. Write the expression.[tex]3cosx = 2+cosx[/tex]
2. Divide both sides by 3.[tex]\frac{3cosx}{3} = \frac{2+cosx}{3} \\\\\frac{3cosx}{3} = \frac{2}{3} +\frac{cosx}{3} \\ \\cosx=\frac{2}{3} +\frac{cosx}{3}[/tex]
3. Subtract [tex]\frac{cosx}{3}[/tex] from both sides.[tex]\frac{3cosx}{3} = \frac{2+cosx}{3} \\\\\frac{3cosx}{3} = \frac{2}{3} +\frac{cosx}{3} \\ \\cosx-\frac{cosx}{3}=\frac{2}{3} +\frac{cosx}{3}-\frac{cosx}{3}\\ \\\\cosx-\frac{cosx}{3}=\frac{2}{3}[/tex]
4. Simplify the fraction subtraction.[tex]\frac{3cosx}{3} -\frac{cosx}{3}=\frac{2}{3}\\ \\\frac{3cosx-cosx}{3}=\frac{2}{3}[/tex]
5. Multiply both sides by 3.[tex]3*\frac{3cosx-cosx}{3}=\frac{2}{3}*3\\ \\3cosx-cosx=\frac{6}{3}\\ \\3cosx-cosx=2[/tex]
6. Solve the subtraction.[tex]2cosx=2[/tex]
7. Divide both sides by 2.[tex]\frac{2cosx}{2} =\frac{2}{2} \\ \\cosx=1[/tex]
8. Take [tex]cos^{-1}[/tex] from both sides.[tex]cos^{-1}(cosx) =cos^{-1}(1)\\ \\x=cos^{-1}(1)\\ \\x=0.[/tex]
2(4x - 3) - 8 = 4 + 2x
Answer: x=3
Step-by-step explanation:
2(4x - 3) - 8 = 4 + 2x
8x - 6 - 8 = 4 + 2x
8x - (6 + 8) = 4 + 2x
8x - 14 = 4 + 2x
8x - 14 + 14 = 4 + 14 + 2x
8x = 18 + 2x
8x - 2x = 18 + 2x - 2x
6x = 18
6x/6=18/6
x=3
x = 3
first you want to distribute 2 to 4x and -3
8x-6 -8 = 4 +2x
then you subtract the numbers on the left side
8x-6-8
8x-14= 4 +2x
then we want to rearrange the 4 and 2x
8x - 14 = 2x+4
the add 14 to each side and move 2x to both sides
6x=18
then divide
x=3
if this helps Brainliest me on this answer thanks :)))
Write the following expression using the fewest possible terms.
(−8 + 2.7p) + (13.6p − 2)
16.3p + (−10)
16.3p + (−6)
10.9p + (−6)
1.63p + (−10)
Answer:The answer would be 16.3p +(-10)
Step-by-step explanation: 13.6p + 2.7p is 16.3
-8-2 is -10
so the answer would be 16.3p +(-10)
A light bulb manufacturer did an inventory count
on the last day of the corporate financial year
It showed they had 2000 bulbs in the warehouse
Each bulb had been purchased at a delivered
cast of £2 with a average delivery cost of f0:30
per bulb and light bulbs have selling price of
£2.20 what is the value of the inventory.
The value of the inventory will be 4000
Bulbs in the warehouse: 2000 bulbs
Cost of each bulb to the manufacturer: 2
Average delivery cost = 0.30
The selling price of the bulb = 2.20
Value of inventory: The monetary value assigned to the items in inventory at the end of an accounting period is known as inventory valuation. The inventory is valued based on the expenses incurred to get it and prepare it for sale.
The biggest current business assets are inventories. You can assess your cost of goods sold (COGS) and, ultimately, your profitability, thanks to inventory valuation.
The value of the inventory is calculated on the cost price, therefore the value of the inventory will be:
= Cost of each bulb*Number of bulbs
= 2000*2
= 4000
So, the value of the inventory will be 4000
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what is42089 divided by 8
Answer:
5261
Step-by-step explanation:
your welcome
Whitney buys two submarine sandwiches for an after-school party. One sandwich is 45 inches long and the other sandwich is 20 inches long. Whitney wants to cut servings of the same length from both sandwiches, without having any sandwich left over. What is the greatest length serving that Whitney can cut?
Answer:
5 inches
Step-by-step explanation:
Whitney wants the greatest length that is an even divisor of both 45 inches and 20 inches.
Greatest common factorThe length Whitney is looking for is called the "greatest common divisor" (GCD) or "greatest common factor" (GCF) of the two numbers 45 and 20. There are a couple of different ways this can be found.
FactoringThe prime factors of the two numbers are ...
45 = 3×3×5
20 = 2×2×5
The only factor common to the two products is 5. It is the greatest common factor.
Whitney can cut lengths of 5 inches.
Euclid's algorithmAnother way to find the GCD is to use Euclid's algorithm. That has you ...
Divide the larger number by the smaller and keep the remainder.If the remainder is not zero, replace the larger number with it and repeat.If the remainder is zero, the smaller number is the GCD.Using this algorithm, we have ...
45/20 = 2 r 5
20/5 = 4 r 0 . . . . . The GCD is 5
Whitney can cut lengths of 5 inches.
EAY QUESTION 20 POINTS
Answer:
is it a im not sure im probably wrong
Answer:
B
Step-by-step explanation:
2^4 x 7^4 = (2 x 7)4 = 14^4
Find the a) down payment, and b) amount of the mortgage loan. 2. Alvira and Barry Gomez purchased a home priced at $280,000. They put down 40%.
The down payment is $112,000.
And, Amount of the mortgage loan is $168,000.
Here,
Alvira and Barry Gomez purchased a home priced at $280,000.
They put down 40%.
We have to find down payment.
And, Amount of the mortgage loan.
What is Down payment?
A sum of money that a buyer pays in the early stages of purchasing an expensive good or service is called down payment.
Now,
Alvira and Barry Gomez purchased a home priced at $280,000.
They put down 40%.
Hence, The down payment = $280,000 x 40%
= $280,000 x 40 / 100
= $112,000
And, Amount of the mortgage loan = Total amount - Down payment
= $280,000 - $112,000
= $168,000
Therefore, The down payment is $112,000.
And, Amount of the mortgage loan is $168,000.
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4(xy)² – 2x + 5y for x = 6 and y
=2
Answer:
574
Step-by-step explanation:
Can you help make a 10 help you add 7+4+5 explain
Answer:
16
Step-by-step explanation:
Graph the compound inequality 6x+2y<12 or x-6y>6
The graph of the compound inequalities with intersection points
(2.21, -0.63) is given below.
Please see the graph attached.
What is compound inequality?A compound inequality has two inequality statements joined either by the "or" or “and.”
We have,
6x+2y<12 or x-6y>6
We can graph each inequality.
And we also need to see the intersection between the inequalities.
Let,
6x + 2y = 12____(1)
x - 6y = 6_______(2)
From (1)
x = (12 - 2y ) / 6 put in (2)
(12 - 2y) / 6 - 6y = 6
2 - 1/3y - 6y = 6
2 - 6 = (1/3)y + 6y
-4 = 19y / 3
y = -12 / 19
y = - 0.63 put in (1)
6x + 2 x (-0.63) = 12
6x = 12 + 1.26
x = 13.26 / 6
x = 2.21
The point of intersection on the graph is (2.21, -0.63).
Thus the graph of the compound inequalities with intersection points (2.21, -0.63) is given below.
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-Solve for b
3b-5>-8 or b-4≤0
Answer: -1<b≤4
Step-by-step explanation:
3b-5>-8 or b-4≤0
3b>-3 or b≤4
b>-1 or b≤4
-1<b≤4
Hey y’all, 10 pm now :( got one more question and then I’ll be gone so pls help
Answer:
x=27 or x= -8
Step-by-step explanation:
rearrange the terms
convert the expression
simplify the expression
rewrite the equation
solve the equation
formulate new equations
I can't show the full steps since there's no image
Answer:
this is answers
scan and see
Question 4 true or false?
Answer:
True.Step-by-step explanation:
Solve equation:
1/5 / 2 = 1/10= 0.2 / 2 = 0.1=0.1 = 1/100.1 = 0.1 = 1/10This is true.Answer: true
0.1=[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]\frac{1}{5}/2[/tex]
Express [tex]\frac{1}{5}/2[/tex]
as a single fraction.
[tex]\frac{1}{5*2}[/tex]
Multiply 5 and 2 to get 10.
[tex]\frac{1}{10}[/tex]
FACTOR
[tex]\frac{1}{2.5}[/tex] =0.1
help is appreciated!!!! NEED HELP ASAP.
Answer: wouldn't that be 10 feet and 8 feet?
Step-by-step explanation:
because they both are the same size on both sides
and i have no clue if that helped
Answer:
Area of two rooms is 357 square feet
Length of the baseboards = 89.5 ft
Step-by-step explanation:
Area and perimeter of rectangular room:Area of the room = length * width
Area of the two rooms = area of bigger room + area of smaller room
= 19 * 15 + 8 * 9
= 285 + 72
= 357 square feet
To find the length of the baseboard, we need to subtract the width of the opening (5 feet) and width of the entry (2 1/2 feet) from the perimeter of the bigger room and subtract the width of the opening (5 feet) from the perimeter of the smaller room.
Bigger room:
length = 19 ft
Width = 15 ft
Width of the entry = 2 1/2 ft = 2.5 ft
Width of the opening between two rooms = 5 ft
Perimeter of bigger room = 2l + 2w - 5 - 2.5
= 2*19 + 2*15 - 7.5
= 38 + 30 - 7.5
= 60.5 ft
Smaller room:
length = 8ft
Width = 9 ft
Width of the opening = 5 ft
Perimeter of the smaller room = 2*8 + 2*9 - 5
= 16 + 18 - 5
= 29 ft
Length of the base board = 60.5 + 29
= 89.5 ft
Find the area of the parallelogram:
Answer:
36 unit^2.
Step-by-step explanation:
Area = base * perpendicular height
= 6 * 6
= 36.
(6x²y − 7) − (3xy² + x²y² − 2)
Answer:
-x^2y^2+6x^2y-3xy^2-5
Step-by-step explanation:
It kind of depends on what you are planning to do with the following expression. However, if you are looking to simplify the expression, the solution is:
[tex]6x^2y-3xy^2+x^2y^2-9[/tex]
Hope this helps! If not, feel free to comment below and I will see what else I can do to help. If it did help, lmk! Thanks and good luck!
5- b = 2t Solve for t or f I give extra points
Answer:
[tex]t = - \frac{1}{2} b + \frac{5}{2} [/tex]
EASY QUESTION 20 POINTS 20 MiNUTS LEFT
Answer:
10.125 i know it hope thisbhelps
Step-by-step explanation:
Solve |p + 2| = 10
{-8, 8}
{-12}
{-12, 8}
Answer:
{-12, 8}
Step-by-step explanation:
Let's solve your equation step-by-step.
|p+2|=10
Solve Absolute Value.
|p+2|=10
We know eitherp+2=10orp+2=−10
p+2=10(Possibility 1)
p+2−2=10−2(Subtract 2 from both sides)
p=8
p+2=−10(Possibility 2)
p+2−2=−10−2(Subtract 2 from both sides)
p=−12
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
5y2 - 8y = 2
The solution of y are 1.82 and -0.22
The general expression for quadratic equation is given as :
ax² + bx + c = 0
The quadratic formula of the above equation is given as
x = -b ± √b²-4ac / 2a
According to the question we have been the expression as
5y² - 8y = 2
Converting it into general expression we get
5y² - 8y - 2 = 0
Putting the required value in above quadratic formula we get
y = -(-8) ± √(8)² - 4*5*(-2) / 2*5
y = 8 ± √64 + 40 / 10
y = 8 ± √104 / 10
y = (8 ± 10.2)/10
y = 8 + 10.2 / 10 and y = 8-10.2 / 10
y = 18.2 / 10 and y = -2.2/10
y = 1.82 and y = -0.22
Hence the solution of y are 1.82 and -0.22
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what is the perimeter of a regular, triangular yield sign with aside length of 15 in
45 inches s the perimeter of a regular, triangular yield sign with aside length of 15 in
What is perimeter?The perimeter of a shape is the sum of the lengths of all its edges. For example, a triangle has three edges, so its perimeter is equal to the sum of those three lengths.
The perimeter of a square can be easily calculated if one side and all other sides are given as being the same length; for example, a square with sides measuring 5 inches long has a perimeter of 20 inches because 5 x 4 = 20. By multiplying the sum of the length and width by two, one can determine a rectangle's perimeter.
We will use the simple perimeter formula as yield sign is equilateral triangle
So, 15 × 3 = 45 inches
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If x varies directly as y and when x = 5, y = 20. Find the relationship between x and y.
the relationship between x and y when x varies directly is 4 x = y.
We know that when x varies directly with y, then:
x = k y
Now, we have x = 5 and y = 20
Substituting the values in the expression, we get that:
5 = 20 k
k = 5 / 20
k = 1 / 4
So, we get the relation as:
x = 1 / 4 y
4 x = y
Therefore, the relationship between x and y when x varies directly is 4 x = y.
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Seventy-seven million people were born between 1946 and 1964. The us census classifies this group of individuals as baby boomers. It is said that today and
Please help me solve this I’ll give you brainliest!
Answer:
b. x = -3
Step-by-step explanation:
3x + 6 = -3
- 6 | - 6 (isolate variable)
3x = -9
/3 | /3 (isolate variable_
x = -3
express 7.065 as a mixed number
Answer: [tex]7 \frac{13}{200}[/tex]
Step-by-step explanation:
7.065=
[tex]7 \frac{65}{1000}[/tex]= ==> GCF of 65 and 1000 is 5
[tex]7 \frac{65/5}{1000/5}[/tex]=[tex]7 \frac{13}{200}[/tex]
A golf course has 18 holes. A guidebook provided to golfers includes useful information about each hole. The individuals in this data set are shown below.
A 4-column table with 6 rows. Column 1 is labeled hole number with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled yards with entries 312, 530, 147, 350, 410, 185. Column 3 is labeled bunkers with entries 2, 5, 1, 0, 2, 1. Column 4 is labeled difficulty level with entries moderate, moderate, easy, moderate, hard, moderate.
Which of the variables in the data set is a categorical variable?
hole number
yards
bunker
difficulty level
The categorical data in the table is the number of holes (option 1).
What is a categorical data?Categorical variables are variables that can only take on a fixed or a limited number of values. Categorical variables are examples of qualitative data.
Categorical variables can be binary. This mean that they can either have two values. An example of categorical variable is yes or no. Binary variables can also be called dichotomous variable. A categorical variable is polytomous if can have more than two values.
In this question, the maximum hole number possible is 18 holes. The number of holes cannot exceed this number. Thus, the hole number is limited or fixed. Thus, hole number is a categorical data.
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How much cardboard will Jayden need to make the box?
OA 60 ft²
OB. 96 ft²
OC. 128 ft²
OD. 144 ft²
Jayden needs (C) 128 ft² cardboard to make a box.
What are parallelograms?A parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposite or facing sides are of equal length, and its opposite angles are of equal measure. The congruence of opposite sides and angles is a direct result of the Euclidean parallel postulate, and neither condition can be proven without resorting to the Euclidean parallel postulate or one of its equivalent formulations.The net is made up of six parallelograms, each representing one of the box's faces.
Four rectangular faces with dimensions of 6 ft × 4 ftThe other two faces are square in shape, with side lengths of 4 feet.The area represented by the net can be used to estimate how much cardboard Jayden will need to make the box.
The calculations are as follows:
Rectangular faces: length × height = 6 ft × 4 ft = 24 ft²Square faces: side length² = (4 ft)² = 16 ft²So, our rectangles and two squares:
4 × 24 ft² + 2 × 16 ft² = 96 ft² + 32 ft² = 128 ft².Therefore, Jayden needs (C) 128 ft² cardboard to make a box.
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Find three consecutive even integers such that the square of the third is 52 more than the square of the second.
The Three consecutive numbers will be 24.5, 25.5, 26.5
We have to take three consecutive numbers. Let the first number be 'x' and the consecutive two numbers be (x + 1), and (x + 2).
It is given that the square of the third number is greater than the square of the second number by 52. We need to create an equation that represents this situation. So, we get :
=> (x + 2)² = (x + 1)² + 52
=> x² + 4x + 4 = x² + 2x + 1 + 52
=> x = 49/2 => x = 24.5
We get value of x = 24.5. Putting this value of x in consecutive numbers we get the first, second, and third numbers as 24.5, 25.5, and 26.5 respectively.
Hence, we get the three consecutive numbers: 24.5, 25.5, and 26.5
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mayas penny bank is 1/2 full. after she adds 120 pennies,it is 2/3 full. How,many pennis can mayas bank hold?
Answer:
720
Step-by-step explanation:
We are looking for the difference between 2/3 and 1/2, which we know to be 120. To subtract fractions of different denominators, we need to find the common denominator (this can be found by finding the LCM of both denominators)
120 = 2/3 - 1/2 = 4/6 - 3/6
1/6 = 120
We can multiply 120 by 6 to find the value of the full bank.
1/1 = 720