work out
a. 1 (meaning whole number) 1/5 + 3 (whole number) 2/5
b. 4 (whole number) 1/2 - 1 (whole number) 1/3
Answer:
4
Step-by-step explanation:
hbjhb
Find the measure of Angle A in the image below:
142°
А
Answer:
38
Step-by-step explanation:
180-42
Answer:
38
Step-by-step explanation:
A + 142 = 180 {Linear pair}
A = 180 - 142
A = 38
If a bank account doubles in size every 5 years, then by what percent does it grow after only 3 years?
Answer:
1.516
Step-by-step explanation:
A Person Places Rs 500 in a Accout that is intrest compounded continuously Assuming no additional deposits or withdrawals, How much will be in the Account After seven years If the interest rate is Constant 8.5 percent for the first four year and a constant 9.25 percent for the last three years. So you get The percent 1.516
Here is an expression: 4•3^x
a. Evaluate the expression when x = 2
b. Evaluate the expression when x = 4.
Answer:
First one is 36 and second one is 324!!!
Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
Answer:
3.8 months
Step-by-step explanation:
Question: Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
First step! What is 5.3% of 36k?
1,908
Second Step! Divide
51,800/1,908= 27.1488469602
Third Step! Round
27.1488469602= 27.1
27.1 weeks.
7 weeks in a month.
12 months in a year.
27.1/7= 3.8
3.8 months
The number of years for the amount of compound interest to reach $51,800 is given by b = 7 years
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the number years be represented as b
where the amount after b years is = $ 51,800
The initial principal amount P = $ 36,000
The number of times the compound interest is applied = quarterly = 4
Now , the equation is
A = P ( 1 + r/n )ⁿᵇ
On solving for the number of years b , we get
b = ln ( A / P ) / n [ ln ( 1 + r/n ) ]
b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln ( 1 + 0.053/4 ) ] )
On further simplification , we get
b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln (1 + 0.01325 ) ] )
b = 6.911 years
On rounding to the nearest year , we get
b = 7 years
Therefore , the value of b is 7 years
Hence , the number of years is 7 years
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1+1
(You don't have to answer its for talking)
Answer:
Step-by-step explanation:
1 +1 = 2 g a y n i g g a s
Quadratic functions “q” and “w” are graphed on the same coordinate grid the vertex of the graph of “q” is 11 units below the vertex of the graph of “w”. Which pair of functions could have been used to create the graphs of “q” and “w”
A. Q(x) = 11 x^2 and w(x) = x^2
B. Q(x) = x^2 +11 and w(x) = x^2
C. Q(x) = -11x^2 and w(x) = x^2
D. Q(x) = x^2 -11 and w(x) = x^2
h(1)= 9
h(n)=h(n−1)⋅(-3)
Find an explicit formula for h(n).
h(n)= ?
Given:
[tex]h(1)=9[/tex]
[tex]h(n)=h(n-1)\cdot (-3)[/tex]
To find:
The explicit formula for h(n).
Solution:
We have,
[tex]h(n)=h(n-1)\cdot (-3)[/tex] ...(i)
It is the recursive formula of a geometric sequence. It is of the form
[tex]a(n)=a(n-1)\cdot r[/tex] ...(ii)
where r is the common ratio.
On comparing (i) and (ii), we get
[tex]r=-3[/tex]
We have, [tex]h(1)=9[/tex] so the first term of the geometric sequence is [tex]a=9[/tex].
The explicit formula for a geometric sequence is:
[tex]h(n)=ar^{n-1}[/tex]
Substitute a=9 and r=-3 to get the explicit formula for the given sequence.
[tex]h(n)=9(-3)^{n-1}[/tex]
Therefore, the required explicit formula is [tex]h(n)=9(-3)^{n-1}[/tex].
A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle.
True or false??
Given:
The given statement is "A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle."
To find:
Whether the given statement in true or false.
Solution:
Area of circle is
[tex]A=\pi r^2[/tex]
Where, r is the radius of the circle.
Let [tex]r_1[/tex] be the radius of the original circle. So, the area of the circle is
[tex]A_1=\pi (r_1)^2[/tex]
The circle is dilated by a scale factor of 1.5 to create a new circle. So, the radius of the new circle is:
[tex]r_2=1.5r_1[/tex]
The area of the new circle is
[tex]A_2=\pi (r_2)^2[/tex]
[tex]A_2=\pi (1.5r_1)^2[/tex]
[tex]A_2=2.25\pi (r_1)^2[/tex]
[tex]A_2=2.25A_1[/tex]
The area of the new circle is 2.25 times the area of the original circle.
Therefore, the given statement is false.
PLS I NEED HELP QUICKLY
Answer:
b + b + h + h and since you have two of each you can say 2b + 2h.
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3y - 40 = 9
Answer:
3y=49
Step-by-step explanation:
yeppp I'm pretty sure
I need help with this please, i need it fast
Answer:
angle equals 15.466 so Answer A, 15.47
A hotel currently has enough room to accommodate at most 200 guests per night. It plans to expand its capacity by 12 guests every year. To make a profit, the hotel must have at least 40 guests staying in the hotel. The hotel manager expects that threshold to increase by 10% every year.
The manager modeled this situation with a system of linear inequalities, where x is the time from today, in years, and y is the number of guests. Which ordered pairs represent viable solutions of this system?
Answer:
(20,280) and (10,300)
Step-by-step explanation:
It was the correct answer on the practice question
Answer:
Edmentum/Plato
Write all the factors of S 35. Use commas to senarate them 。
Answer:
All of the positive integers that can divide evenly into 35 (they are the factors) are:
1, 5, 7, 35
All others, like 2, 3, 13, ... create a remainder that is not 0.
Now, you may (or soon will be) learning about the prime factors of 35 (not 1, and only divisible by itself and 1). They are:
5, 7
Step-by-step explanation:
Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest
Answer:
x=-2
Step-by-step explanation:
add 18 to both sides, simplify, add 6x to both sides, simplify, divide both sides by -12.then simplify again... I hope that helps...
You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat?
Answer:
11.1 feet
Step-by-step explanation:
person = B cat = C
C
/ |
/ | x
B /_48]________ ______|
|____10ft____|
since we know the adjacent side but want the opposite side, we can use tan(angle)=opp/adj to solve. (make sure to be in degrees lol)
tangent ( 48) = x/10
10 * tan(48) = x
11.1 = x
The cat is 11.1 feet high.
Ms. Hannah goes bowing with her friends. The bowing shoe rental for the group costs $22. Each game the group bows costs $7 25.
1.Write an equation for the total cost cof the outing related to the number of games played g.
2. How much will cost to bow 3 games?
Scott wants to make orange juice he is going buy boxes of oranges
PLEASE HELP THIS IS DUE IN 20 MINUTES
Describe fully the single transformation that maps shape A onto shape B.
y
4
A
2
1
B
-5 -4 -3 -2 -1 0
-1
1
2 3 4
X
5
-2
-3
-41
Total marks: 2
Answer:
I think shape A is just reflected, and make Shape B.
The reflection line is on 2 of the y axis
Step-by-step explanation:
The sales tax in your city is 4.4% and an item costs $3 before tax. How much tax would you pay on that item. (round to nearest hundredth or cent.)
Answer: 0.13
3 times 0.044 =0.13
Step-by-step explanation:
Which measurement is the same length as 1 meter
Answer:
3 feet
Step-by-step explanation:
From the option available the measurement 1 meter is equal to 100 centimeters.
What is unit conversion?The same attribute is expressed using a unit conversion but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
given the measurement is 1 meter
1 meter is equal to 100 centimeters
From unit conversion:
1 meter is also equal to 3.2808 feet
1 meter is also equal to 39.3701 inch
1 meter is also equal to 1000 millimeters
1 meter is also equal to 1.093 yards.
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Complete question:
The cost of 3 quarts of milk is $6.75. How many quarts can you buy with $20.25?
Multiply −47(−35)(−73). Simplify your answer.
Answer:
-47(-35)(-73)
1645×-73
-120 085
ans: -120 085
Answer:
-47(-35)(-73)
1645×-73
-120 085
ans: -120 085
Step-by-step explanation:
What is the slope of the line?
Answer:
1
Step-by-step explanation:
Two ordered pairs that can be seen are (0,1) and (1,2)
Using delta y/ delta x,
(2-1)/(1-0) = slope
slope = 1/1
slope = 1
Answer:
slope = 1
Step-by-step explanation:
To find the slope of the line, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], in which [tex]m[/tex] represents the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point.
Thus, locate two points on the line. We can see that the line intersects (-1,0) and (0,1), thus we can use them for the formula. (Any other two points that are also on the line will also work.) Substitute their x and y values into the appropriate places in the formula and solve:
[tex]m = \frac{(1)-(0)}{(0)-(-1)}\\m = \frac{1-0}{0+1} \\m = \frac{1}{1} \\m = 1[/tex]
Thus, the slope is 1.
What is the area of a semicircle that has a radius of 20 feet?
Answer:
[tex]200\pi[/tex] or 628.3185
Step-by-step explanation:
Area of a semicircle is equal to [tex]\frac{\pi r^{2}}{2}[/tex]. So, when the radius is 20, the area of the semicircle will be [tex]\frac{\pi (20)^{2} }{2} =\frac{400\pi }{2} =200\pi =628.3185[/tex].
Estimate the sum by rounding each number to the nearest half or whole.
2 1/2 + 5 5/8=
O 8 1/2
O 8
O 7
O 7 1/2
please please complete it
Answer:
1. 14
2. 11
3. 19.5
4. 16
5. 76
6. 10
7. 2.5
8. 4.5
9. Mean: 10, Median: 9, Mode: 7
10. Mean: 6, Median: 7, Mode: 8,5
11. Mean: 10, Median: 11.5, Mode: 12
Step-by-step explanation:
Plsss help guys
Ill give brainly points to who ever answers this question plsss
Solve for X. Please help ASAP. I have no idea how to do this and it’s due really soon!!
Answer:
x=4
Step-by-step explanation:
14=3x+2
Move all terms that don't contain x to the right side and solve.
Please help I’ll give brainliest if correct
Answer:
(-1, -13) is the correct answer