Answer:
a = 1m/s²
Step-by-step explanation:
Given the formula
s=ut+1/2at²
Given
s=30
u=2
t=6
Required
a=?
Substitute
A = 2(6) + 1/2a(6²
30 = 12 + 36a/2
30-12 = 18a
18 = 18a
Swap
18a = 18
a = 181/18
a = 1m/s²
Lancelot deposited $5000 each into 2 different savings accounts. Account A earns 8% simple interest. Account B earns 8% interest compounded annually. What is the sum of the balances of both accounts at the end of 6 years?
Answer:
$15,334.37
Step-by-step explanation:
Lancelot deposited $5000 each into 2 different savings accounts.
Step 1- For simple Interest
Amount of money in the account
Account A earns 8% simple interest.
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 5000(1 + (0.08 × 6)) = 7400
A = $7,400.00
Step 2- For Compounded Interest
Account B earns 8% interest compounded annually.
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.08/1)(1)(6)
A = 5,000.00(1 + 0.08)(6)
A = $7,934.37
The sum of the balances of both accounts at the end of 6 years is calculated as:
$7,934.37 + $7,400.00
=$15,334.37
To the nearest tenth, find the area of a circle with diameter of 6m. Use 3.14
Answer: 28.3 squared
Step-6 divided by 2= 3 then 3x3=9 then 9x3.14=28.26 then round 28.3
Jamie uses exactly 18 inches of dental floss every time she flosses her teeth. The package of dental floss she just bought contains 27 yards. How many times can Jamie floss her teeth with the amount of floss in this package?
Answer:
54 times
Step-by-step explanation:
36 inches = 1 yard
Since there are 27 yards, you multiply 36 by 27 = 972
If you use 18 inches each time, you would divide 972 by 18.
972/18= 54
So, Jamie could flow her teeth 54 times.
The dimensions of a rectangle can be expressed as x−1 and x+5. If the area of the rectangle is 91 square inches, what are the dimensions of the rectangle? Make sure to enter BOTH dimensions.
Answer:
13 x 7
Step-by-step explanation:
area = L x W
91 = (x - 1)(x + 5)
x² + 5x - x - 5 = 91
combine like terms:
x² + 4x - 5 = 91
subtract 91 to each side of the equation:
x² + 4x - 96 = 0
factor:
(x + 12)(x - 8)
x = 8
x - 1 = 7
x + 5 = 13
Shen made $25,000 in taxable income last year.
Suppose the income tax rate is 10% for the first $7000 plus 15% for the amount over $7000.
How much must Shen pay in income tax for last year?
Answer:
3400
Step-by-step explanation:
25000
- 7000 x .10= 700 calculate 10% tax
——————
=18000 x .15 =2700 calculate tax over 7000 at 15%
total tax. = 3400
find the length of the segment from A to B, round to the nearest tenth.
Answer:
Length AB = square root [5^2 + 3^2]
AB = square root [34]
AB = 5.8309518948
= 5.8 rounded
Step-by-step explanation:
plsss help with this question lolz
Answer:
for output: 4, 6, 8, 10
Input: (i think) 1,5,5,1
Step-by-step explanation:
Find the slope of a line parallel to this given line: -10y + 3= -6x
Answer:
Y=3/5 x +3/10
Step-by-step explanation:
Is r = 9 a solution to the inequality below?
72r
yes
no
Submit
Explain how to solve problems like this please
Answer:
No.
Step-by-step explanation:
For the inequality 7 ≥ r, 9 is not a solution. This inequality states that seven is greater than or equal to r, but 7 is not greater than or equal to 9. So this makes 9 not a solution for this inequality.
The terminal side of θ in standard position contains the point (–4, 3). Find the exact values of the six trigonometric functions of θ. (show all of your work) *
Answer:
When we have a rectangular point (x, y), the angle between the x-axis and a ray that connects the origin with this point is given by:
Tan(θ) = y/x.
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
So for the point (-4,3) we have:
x = -4
y = 3
√( (-4)^2 + 3^2) = √(16 + 9) = √25 = 5
Then:
Tan(θ) = 3/-4 = -(3/4)
Sin(θ) = 3/5
Cos(θ) = -4/5
And for the other 3 trigonometric functions (the inverses of the 3 above ones) we have:
Ctg(θ) = 1/Tan(θ) = -4/3
Csc(θ) = 1/Sin(θ) = 5/3
Sec(θ) = 1/Cos(θ) = -4/5
Triangle A'B'C' is the image of ABC under a rotation about point P.
Determine the angle of rotation.
-75
-45
45
75
Answer:
its 45
Step-by-step explanation
It's right I did it on khan
Which of the following lines bets fits the data shown in the scatter plot?
f(x)= x g(x)=x+1 graph f/g
Answer:
Step-by-step explanation:
x
(f/g)(x) = -----------
x + 1
Notice that x cannot be -1, which would lead to division by zero. Thus, x = -1 is the vertical asymptote. Also notice that if x grows increasingly large, the fraction shown tends towards x/x, or 1, so we know that the horizontal asymptote is y = 1.
Draw a set of x-y axes and graph y = 1 and x = -1. Plot (0, 0). Again, note that the graph of this function never touches/crosses x = -1. So, for (-1, 0) the graph is a curve caught between x = -1 and x = 0 that increases as x increases. For (0, infinity), the graph heads upward at a slow pace and then levels off nearly parallel to y = 1 (the horizontal asymptote).
As x increases from left to right, y starts out slightly greater than y = 1 and then (while still in Quadrant II) curves upward and approaches the vertical asymptote x = -1.
Earth is approximately 9.3 × 107 miles from the sun. Saturn is approximately 8.87 × 108 miles from the sun. About how much farther is Saturn from the sun than Earth is? A. 7.94 × 107 miles B. 7.94 × 108 miles C. 4.3 × 107 miles D. 4.3 × 108 miles
Answer:
B. 7.94 × 10^8 miles
Step-by-step explanation:
Given that
Earth is approximately 9.3 × 107 miles from the sun.
Saturn is approximately 8.87 × 108 miles from the sun.
We need to find out how much farther is saturn from the sun than earth is
So,
Earth - Sun = 9.3 × 10^7 miles
Saturn - Sun = 8.87 × 10^8 miles
Now
= 8.87 × 10^8 - 9.3 × 10^7
= 88.7 × 10^7 - 9.3 × 10^7
= 79.4 × 10^7
= 7.94 × 10 ^8
= 794,000,000 miles
Hence, saturn is 7.94 × 10^8 miles farther from Sun than Earth is
Find the volume of the prism
Answers:
1.) 1/9 m cubed
Explanation: The formula is l x w x h. So 1/3 x 1/2 x 2/3.
2.) 15/16 ft cubed
Explanation: 5/4 x 3/2 x 1/2.
Hope it helps :)
Calinda is painting the design on her bedroom wall. The large circle has a diameter of 32 inches. To the nearest square inch, how much paint swill she need for the shared reign on
Answer:
804 inches
Step-by-step explanation:
Amount of paint she would need is equal to the area of the circle
Area of a circle = πr²
π = 3.14
r = 32/2 = 16
The diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x 16² = 804 in
what kind of triangle is shown
Answer:
right isosceles triangle.
Answer:
right scalene
Step-by-step explanation:
right angle - if one angle is 90 degree
scalene triangle- if all sides are of different lengths
Sylvie needs $110.75 for a concert ticket. She already has $16 and she can earn the rest by working 10.5 hours at her job. Write an equation that can be solved to find h, Sylvie′s hourly earnings.
Answer:
110.75 = 16 + 10.5h
Step-by-step explanation:
PLEASE HELP WITH ONE I NEED THE WORK FOR IT!! 20 POINTS AND BRAINLIEST
Answer:
too blurry
Step-by-step explanation:
Answer:
1. Missing length-8.48528137424
2. Missing length- 13.9283882772
3. Missing length-17.3205080757
4. Missing length- 14.7986485869
A random variable X follows a Binomial distribution; i.E. X ~ B(12, p) with a variance of 1.92. Compute the possible values of p
==================================================
Explanation:
Any binomial distribution has two unique components to it: The number of trials n, and the probability of success p.
We're given n = 12, and we need to find p.
The variance of a binomial probability distribution is given by the formula n*p*(1-p). Plug in n = 12 and set this equal to 1.92
So the equation to solve is 12p*(1-p) = 1.92
Solve for p using a graphing calculator or you could apply the quadratic formula. Either way, you should get the two results of p = 0.2 and p = 0.8
Note that if p = 0.2, then 1-p = 1-0.2 = 0.8, and things flip around when p = 0.8.
hey could someone help me with this question immediately!! i’ll mark brainiest if it’s correct.
the thousands placeeee
The measurement of angle D is _____ degrees
Answer:
157
Step-by-step explanation:
Someone plz help me giving brainliest
Answer:
B. 5 2/5
Step-by-step explanation:
Use the long division solution to convert the original fraction ( 27/ 5 ) to a mixed number. The whole number portion of the mixed number will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction ( 5 ) , and the fraction portion of the mixed number will be the remainder of the original fraction division ( 2 ) over the denominator of the original fraction ( 5 )
Jada lives 1 3/10 miles from school. Lin lives 1/4 mile closer to school than Jada. How far does Lin live from school? Type in the number of your answer AND type a sentence that explains how you found it.
Answer:
Lin lives 1 1/20 miles away from school
Step-by-step explanation:
1 3/10 becomes 1 6/20
1/4 becomes 5/20
1 6/20 - 5/20
= 1 1/20
Find the surface area of the
regular hexagonal prism.
4 cm 12 cm
3.5 cm
Answer:
the surface of hexagonal prism is 12 cm
Is (-2, 4) a solution of the graphed inequality?
Answer:
No
Step-by-step explanation:
the point (-2,4) is in the white section of the graph which is not part of the inequality.
evalute the expertion (-5)(7)+4=
Answer:
(-5)(7)= -35
-35+4=-31
your answer is -31
who ever can solve this gets 20 points
I NEED ANSWERS SOON PLS!!!
Answer:
100 - 1/20 = 99.95
99.95 - 45 = 54.95
54.95 x 18/100 = 9.891, 54.95 - 9.891 = 45.059
45.059 - 12 = 33.059
33.059 divided by 2.50 = 13.2236, about 13 games
A manager of a telemarketing firm is trying to increase his employees' productivity. The table shown indicates the number of months the employees have been working and the number of calls they successfully complete with customers per day.
a. Construct a scatter plot of the data.
b. Based on the shape of the scatter plot, is a linear regression appropriate? What type of correlation appears to be present?
c. W rite a function c(m) to represent the line of best fit. Then interpret the function in terms of the problem situation.
d. Compute and interpret the correlation coefficient.
e. Calculate the residuals for the data and create a residual plot of the data.
f. Based on the residual plot, is a linear model appropriate for the data? Explain your reasoning.
g. Should the manager use a linear regression equation to predict how many successful calls an employee will make if they have been employed for 36 months? Explain your reasoning.
i got it right cus im smart
What is the area of the rectangle above?
A. 24 square units
B. 22 square units
C. 11 square units
D. 32 square units
Answer:
The answer is
a. 24 square units