A $20,000 deposit was placed in a bank paying 5.75% interest compounded quarterly. After 12 months, how much interest was earned.
Answers
The value of the investment is (20,000) times (1 + 0.0575/4) to the 4th power.
(1 + 0.0575/4) = 1.014375
That number to the 4th power is 1.05875... (rounded)
The interest alone is (20,000) times (0.05875...) = $1,175.04
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If the hypotenuse of a right triangle is 20 cm and one of the legs is 16 cm, how long is the other leg? 2.81224144
Answers
add 1
4c^2-8c=1
divide by 4 to make leading coeficient 1
c^2-2c=1/4
take 1/2 of linear coeficient and square it
-2/2=-1, (-1)^2=1
add that to both sides
c^2-2c+1=1/4+1
factor perfect squaer and add
(c-1)^2=5/4
square root both sides
c-1=+/-(√5)/2
add 1
c=1+/-(√5)/2
c=2.12 or -0.12
Answers
Answer:
6 training sessions.
Step-by-step explanation:
Let there be x training sessions at both the gyms.
At silver gym,
Total cost = membership + personal training session
= 25+45x ...(1)
At Fit Factor,
Total cost = 85+35x ....(2)
If the total cost at the two gyms equal,
25+45x=85+35x
Taking like terms together,
45x-35x=85-25
10x=60
x = 6
Hence, Sarah must buy 6 training sessions.
Answers
If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²
What is Rectangle?
A rectangle is a quadrilateral with four right angles
The area of Rectangle is length times of width.
Given that Ms. Luna is waterproofing the top of a rectangular wood deck.
The width of the deck is 3 m less that the length.
Width=Length-3
Length=8
Area of rectangle=Length×Width
=Length×(Length-3)
=8×(8-3)
=8×5
=40 m²
Hence, If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²
To learn more on Rectangle click:
#SPJ2
Answer:
40 m
Step-by-step explanation:
First we have to find the width. the width is 3 less than the length, which is 8... so the width is 5. Area is found by multiplyign length times width to get 40 m.
The standard deviation is about_________
Answers
Mark Brainliest Please
Answer:
Answer is gicen in the image attached.
Step-by-step explanation:
Standard deviation (SD) measured the volatility or variability across a set of data. It is the measure of the spread of numbers in a data set from its mean value and can be represented using the sigma symbol (σ). The following algorithmic calculation tool makes it easy to quickly discover the mean, variance & SD of a data set.
For more help check Khan academy video
https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/sample-standard-deviation/v/sample-standard-deviation-and-bias
Answer:
2.6
Step-by-step explanation:
To calculate standard deviation:
(1) Find the mean - 4.33
4 + 5 + 9 + 1 + 2 + 5 = 26 26 / 6 = 4.333... ≈ 4.33
(2) Subtract the mean from each value and square each result
(3) Find a new mean with the new values from the previous step
0.1089 + 0.4489 + 21.8089 + 11.0889 + 5.4289 + 0.4489 = 39.3334
39.3334 / 6 = 6.555566667
(4) Take the square root of the new mean.
2.560384086 rounded to the nearest tenth is: 2.6
Answers
Answer:
The Answer is D
Step-by-step explanation:
K12
Answers
Answer:
Step-by-step explanation:
let the number of rows=x
seats in each row=3x
so number of seats=x(3x)=3x²
3x²=675
x²=225
x=15
number of rows=15
and seats in each row=15×3=45
Answer: 15 rows with 45 seats each
Step-by-step explanation:
Let x = the number of rows, then 3x= the number of seats in a row.
seats × row= total
3x × x=675
3x²=675
x²=225
x=15