The account has an annual interest rate of 6.80%, compounded continuously.
What is interst rate?Interest is the cost associated with the boring money or to return on for lending money it is typically expressed as a percent of the principal amount borrowed or lent and usually the paid periodically over the life of loan interest can also be on from investment such as saving account bonds and the other financial instrument.
The interest rate of the account can be calculated as follows:
Rate = ln(1,698.49/1,051)/(8×ln(1))
Rate = 0.0680 or 6.80%
This means that the account has an annual interest rate of 6.80%, compounded continuously.
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Solve for 4|u-2| +6 < 42
Someone please help me
The value of 1 unit = 11/8
The value of 5 units = 11/8 × 5 = 55/8
The value of 5 units as a mixed fraction= 6 7/8
What is rate?A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.
If 8 units = 11
therefore 1 unit will be ;
8 units/8 = 11/8
1 units = 11/8
Therefore 5 units = 11/8 × 5 = 55/8
5 units in improper fraction is 55/8
= 6 7/8
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Find the volume of the figure. Express answers in terms of pi
, then round to the nearest whole number.
Answer:
36π in.³
113 in.³
Step-by-step explanation:
V = (4/3)πr³
V = (4/3)π(3 in.)³
V = 36π in.³
V ≈ 113 in.³
Using Pythagorean Theorem, Find the area of the right triangle.
Be sure to include the correct unit in your answer.
20 m
25 m
Answer:
Step-by-step explanation:
Cual es el producto de x(x+1)?
Answer:
x² + x
Step-by-step explanation:
x(x+1) →
[a(b + c) = ab + ac]
x (x) + x (1) →
[x • x = x²] + [x • 1 = x] →
x² + x
How many quarts of pure antifreeze must be added to 2 quarts of a 30 % antifreeze solution to obtain a 40 % antifreeze solution ?
( blank )quart ( s ) of pure antifreeze must be added
( Round to the nearest tenth as needed )
Answer:
x = 2
Step-by-step explanation:
To obtain a 40% antifreeze solution, we need to add more antifreeze to the 30% solution. Let's call the amount of pure antifreeze that needs to be added x. Then, the amount of antifreeze in the solution will be 2 + x quarts.
The concentration of antifreeze in the solution will be:
(0.30 * 2) + (0.100 * x) = 0.40 * (2 + x)
Solving for x:
0.60 + 0.100x = 0.40 * (2 + x)
Expanding the right-hand side:
0.60 + 0.100x = 0.80 + 0.40x
Solving for x:
0.100x = 0.20
x = 2
So, 2 quarts of pure antifreeze must be added to obtain a 40% antifreeze solution.
Sheridan Industries had sales in 2021 of $7,752,000 and gross profit of $1,254,000. Management is considering two alternative budget plans to increase its gross profit in 2022.
The cost of sales for Sheridan Industries, given the gross profit and the sales, is $ 6, 498, 000
How to find the cost of sales ?The cost of sales refers to the amount that the company invested to be able to make the sales they did. This includes the cost of purchases of goods which were then sold ( or their cost of manufacturing ).
The cost of sales to Sheridan Industries can be found by the formula :
= Sales - Gross profit
The cost of sales is therefore :
= 7, 752, 000 - 1, 254, 000
= $ 6, 498, 000
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The full question is:
Sheridan Industries had sales in 2021 of $7,752,000 and gross profit of $1,254,000. Management is considering two alternative budget plans to increase its gross profit in 2022. To do this this, management first needs to determine its cost of sales. Find the cost of sales for 2021.
The following frequency distribution presents the batting averages Major League Baseball players who had 300 or more plate appearances during recent season; Batting Average Frequency 0.180-0.199 0.200-0.219 0.220-0.239 0.240-0.259 0.260-0.279 0.280-0.299 0.00-0.319 0.320-0,339 0.340-0.359
The construction of the graph is shown here.
Also cumulative frequency in the table form mentioned here. This can be solved using the concept of frequency distribution.
What is frequency distribution?Tables or charts of frequency distributions are used to represent them. Frequency distributions can display the proportion of observations or the actual number of observations that fall inside each range. The distribution is known as a relative frequency distribution in the latter case.
Relative frequency distributions and cumulative frequency distributions are the two primary forms of frequency distributions utilised in data analysis. Both depend on frequency, which is the amount of times something happens inside a specific data set in descriptive statistics.
Class Frequency Cumulative frequency
0.180-0.199 2 2
0.200-0.219 10 12
0.220-0.239 39 51
0.240-0.259 56 107
0.260-0.279 60 167
0.280-0.299 49 216
0.300-0.319 27 243
0.320-0.339 12 255
0.340-0.359 1 256
The construction of the graph is shown below:
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The complete question is as follows:
An item is regularly priced at $47. Joe bought it at a discount of 65% off the regular price. Use the ALEKS calculator to find how much Joe paid.
Winston installs a fence post every eight yards after the first post he installs 25 more how long is the fence that he builds
The length of the fence that Winston installs is 200 yards
What is an equation?An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either be linear, quadratic, cubic, depending of the degree of the variable.
Winston installs a fence post every eight yards after the first post he installs 25 more, therefore:
The length of the fence = 8 yards * 25 post = 200 yards
The length of the fence is 200 yards
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Composition of Functions
f(x)=-4x+9,g(x)=x^(2)-x-10, find the value of fog(5)
Answer: Given f(x) = -4x + 9 and g(x) = x^2 - x - 10, the composition of functions fog(x) is defined as fog(x) = f(g(x)).
To find the value of fog(5), we need to evaluate g(5) first:
g(5) = 5^2 - 5 - 10 = 20
Now that we have g(5) = 20, we can substitute it into f(x) to find fog(5):
fog(5) = f(g(5)) = f(20) = -4 * 20 + 9 = -79
So, the value of fog(5) is -79.
Step-by-step explanation:
A bean plant measures 1.5 cm and grows 0.1 cm per day. A tomato plant of 0.85 cm grows steadily too. How much can it grow each day knowing that it will have the same height as the bean plant in no more than 10 days?
Answer:
Let's call the growth rate of the tomato plant "g". We know that the height difference between the tomato plant and the bean plant decreases by 0.1 cm per day, so we can write the following equation:
1.5 - 0.85 - (10 * g) = 0
Solving for g:
g = (1.5 - 0.85) / 10 = 0.065 cm/day
So the tomato plant grows at a rate of 0.065 cm per day, and will reach the height of the bean plant in no more than 10 days.
The tomato plant will grow 0.165 cm per day.
Solution:
Given,
Height of bean plant = 1.5 cm
Height of tomato plant = 0.85 cm
The growth rate of bean plant = 0.1 cm/ day
The bean plant will grow 1.5 + (0.1* 10) in 10 days = 2.5 cm
So, the tomato plant will have to grow (2.5 - 0.85) cm in 10 days = 1.65 cm
Since, the tomato plant will grow steadily,
Hence, 1.65/ 10 = 0.165
Therefore, the tomato plant will grow at a rate of 0.165 cm per day
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URGENT URGENT URGENT !!!
If I make $12 per hour, how many hours must I work to make $30
Answer:
2 hours and a half
Step-by-step explanation:
What is the slope of the line passing through the points (2, 5) and (-1,-4)?
Answer:
m=3
Step-by-step explanation:
slope of the line is 3
mark me the brainliest
Please help me I’m stuck-
Answer:
No
Step-by-step explanation:
to be right angled triangle,
h^2=p^2+b^2
,15^2=12^2+8^2
,225=144+64
,225=208
Since 225 is not equal to 208
It is not a right angled triangle
F(x)=[[x]]. What is f(10)
Translate this sentence into an equation. 171 is the product of 9 and Rhonda’s height. Use the variable R to represent Rhonda’s height
Answer:
171=9R
Hope this helped! :)
Answer:Rx9=171
Step-by-step explanation:
Stefany's salary at her company, Horizon Logistics starts at a base salary of $60,000. The table below shows her salary g(x) after x years. Write an explicit rule for the g(x).
help lssssa
The explicit rule for the g(x) is g(x) = 54000 + 6000x
How to determine the explicit ruleThe definition of the function is given as
Initial = 60000
And the table of values
The definitions from the table imply that we simply add 6000 to the previous term to get the current term
This means that
Common difference, d = 6000
The sequence is then represented as
f(x) = a + (x - 1)d
So, we have
f(x) = 60000 + (x - 1) * 6000
Evaluate
f(x) = 54000 + 6000x
Hence, the equation is f(x) = 54000 + 6000x
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for a list of positive numbers, it is possible for the standard deviation to be greater than the mean? if so, give the example. if not, explain why not.
It is possible that the standard deviation is greater than the mean for a list of positive numbers.
What is standard deviation?
The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.
Take into consideration, the list of numbers -
1,2,3,4,5,20
The mean formula is - Number of observations / Total observations.
Substitute the values in the equation -
Mean = 1 + 2 + 3 + 4 + 5 + 20 / 6
Mean = 35 / 6
Mean (x') = 5.833
The number of observations is n = 6
The variance is the sum of squared deviations from the mean divided by
n−1.
The standard deviation is the square root of the variance -
s = {√(1 - 35/6)² + .... + (20 - 35/6)²} / (6-1)
s = 7.0828
Therefore, the standard deviation is higher than the mean.
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Determine the simple interest. The rate is an annual rate. Assume 360 days in a year.
According to the previous sentence, simple interest is equivalent to $157.92.
Just curious: What is it?With only the starting principal and a fixed interest rate, simple yearly interest of government debt interest is calculated. Compounding, which results in borrowers paying tax on both the principal and interest across a number of payment intervals, is not included. To calculate simple interest, multiply the original by the timeframe, rates of return, and duration.
Due to it,
P = $582.09
R = 8.3%
T = 89 days
Now, Simple Interest = P*R*T/100
Simple Interest = 582.09 * 8.3 * 89/100
Simple Interest = 4299.89
Simple Interest would be $4299.89 as a result.
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The subtotal for Abdiel's takeout order is $21.50. What will Abdiel's total be if he uses a coupon for 10% off the subtotal and leaves a 20% tip before the discount? (2 points)
$22.15
$27.95
$23.22
$23.65
Answer:
Abdiel's total would be $23.22, which is the answer choice C.
Step-by-step explanation:
The total cost of Abdiel's order would be calculated as follows:
Calculate the tip before the discount: $21.50 x 20% = $4.30
Add the tip to the subtotal: $21.50 + $4.30 = $25.80
Calculate the discount: $25.80 x 10% = $2.58
Subtract the discount from the total cost: $25.80 - $2.58 = $23.22
So, Abdiel's total would be $23.22, which is the answer choice C.
Find the value of t0.025 for a t-distribution with 15
degrees of freedom. Round your answer to three decimal places, if necessary.
The value of t for a t-distribution with 15 degrees of freedom is -2.131.
What is z-score?A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values.
Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.
Given:
Degree of freedom df = 15
and area to the left of t = 0.025
Hence, area right of t = 1-0.025 = 0.975
From the table of t-distribution for the area left of t = 0.025 and 15 degrees of freedom, the corresponding value of t is -2.131.
Hence, t = -2.131
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How many solutions does this system have
X+3y=0
Y=-8+2
Answer: x=18 and y=-6
Step-by-step explanation:
y=-6; x+3y=0
graph this equation on the graph then, use the check step to prove the solution works in both equations. show all work
y = -x + 4y = -4
y = 1/2x - 2
check:
Answer:
see attached for a graph; see below for the check
Step-by-step explanation:
You want to solve this system of equations by graphing, then check the result.
GraphThe graph of the equations is attached. The fist has a slope of 1/4 and a y-intercept of -1; the second has a slope of 1/2 and a y-intercept of -2.
The solution is seen to be (x, y) = (4, 0).
CheckIn the first equation:
-4 +4(0) = -4 . . . . . true
In the second equation:
0 = 1/2(4) -2 . . . . . true
Find the missing number.
The missing number is 20.
What is percentage?An amount of something often expressed as a number out of hundred. It is denoted by the symbol '%'.
25% of 20 = [tex]\frac{25}{100}*20[/tex]
=5
Then the another number is 20+5=25
The percentage to the number 25 becomes 20 is,
[tex]\frac{x}{100} *25=20[/tex]
⇒x=[tex]\frac{20}{25} *100[/tex]
⇒x=80%
Hence, the missing number is 20 and the missing percentage is 80%.
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How can I find the perimeter of rectangle
Answer:
19
Step-by-step explanation:
top = bottom so 4x-4y = 3x+5y so x = 9y
left = right so 2-2y = x-3y so x= y+2
so 9y = y+2
8y = 2
y= 0.25
x=2.25
so just add them all up
2*(4x-4y) + 2*(2-2y )
= 8*(x-y)+4*(1-y)
=16+4*0.75
=19
What percentage of the budgeted food is the actual food?
Budgeted: 200
Actual: 230
The actual food is 115% of the budgeted food.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The data is given in the question, as follows:
Budgeted: 200
Actual: 230
To determine the percentage of the budgeted food that is the actual food, we can divide the actual amount by the budgeted amount and multiply by 100.
Percentage = (Actual / Budgeted) * 100
Percentage = (230 / 200) x 100
Percentage = 1.15 x 100
Apply the multiplication operation, and we get
Percentage = 115%
So, the actual food is 115% of the budgeted food.
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Please Help ASAP willgive brainliest
Answer:
B, C, D
Step-by-step explanation
bascially flip the figure upside down. whatever was parallel before stays parallel
Find the volume of each solid. Round to the nearest tenth if necessary. There’s to questions so there is two answers. 1=? 2=?
The volume of the sphere with radius 5 yd rounded to the nearest tenth is 523.3 yd³.
What is the volume of the sphere?The volume of a sphere is expressed as;
V = 4/3 × π × r³
Where r is radius and constant pi π = 3.14.
Given the data in the question;
Radius r = 5 ydVolume V = ?To find the volume of the sphere, plug the given value into the above formula and simplify.
V = 4/3 × π × r³
V = 4/3 × 3.14 × ( 5 yd )³
V = 4/3 × 3.14 × 125 yd³
V = 523.3 yd³
Therefore, the volume of the sphere is 523.3 yd³.
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The blocks in a city are all perfect Squares.
A friend gives you.
the following directons
to
a good resturant; "go north 3 blocks
turn East and go sblocks,
and go 76locks,
Turn South
turn West and go
3 blocks" How far away (Straight line
distance) is the resturant ?
The straight line distance is 13 blocks.
How do you get the straight line distance?We know that we can be able to obtain the straight line distance by looking at the information that has been provided by the question. We are told in the question that; you go north 3 blocks turn East and go blocks, and go 7 blocks turn South turn West and go 3 blocks.
We know that the distance is not a vector quantity as such, we do not look at the direction of the movement. We would only be concerned about the magnitude of the distance.
Thus we have the straight line distance as; 3 + 7 + 3 = 13 blocks
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