Answer:
$1.51 is in the account after 10 years.
Step-by-step explanation:
Step 1: Identify the Type of Problem
We can see that this is a compound interest problem due to the phrase "earns 1.15% interested compounded" in the problem.
The formula for compound interest is as follows:
\(A=P(1+\frac{r}{n})^{n*t}\) where:
A = final amount P = principal amount (in other words, the initial or first investment)r = interest rate (as a decimal)n = number of times interest is compounded per yeart = time (in years)Step 2: Identify what we Know
Now that we have the formula we'll be working with, let's see what we know. From the problem, we can see:
A = ? (this is what we are solving for)P = $1.35r = 1.15% → 0.0115n = 2 (semi-annually means twice a year)t = 10 yearsStep 3: "Plug and Chug"
Now, all we have to do is substitute the above values into our formula. Doing so, we get:
\(A=1.35*(1+\frac{0.0115}{2})^{2*10} \\= \bf \$1.51\)
(Note: Since the answer is an amount of money, I have rounded to the hundreths place.)
Hope this helps!
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https://brainly.com/question/21270833Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?
y = 12x - 16
y = 12x + 16
y = 16x - 12
y = 16x + 12
Answer:
the first one
Step-by-step explanation:
y-y1=m(x-x1)
y-20=12(x-3)
\(y-20+20=12\left(x-3\right)+20\)
simplify:
\(y=12x-16\)
2 What is the solution set of
|4x - 1|= 3?
Answer:
Exact Form:
x = 1 , − 1/ 2
Decimal Form:
x = 1 , − 0.5
Step-by-step explanation:
QUICK MATH
Please help with math
Answer:
3.84m
Step-by-step explanation:
32*12=384
384/100=3.84
Answer:
384. hope this helps you out
Explain: 32•12=384, but for got to divide it so it equal 3.84
The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
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pls help as soon as possible
Answer:
\( \sf \implies \: - 6w - 8 + 1 -7w \\ \sf \implies \: - 6w - 7w - 7 \: \: \: \: \: \: \: \: \\ \sf \implies \: - 13w - 7 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)
Hence, option (b) - 13w - 7 is correct.
Hope it helps you mate :)
Which range contains the value of (22+8-10)?
Answer:
20
Step-by-step explanation:
22+8=30
30-10=20
ur welcome
Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year. About how long will it take for the account to be worth $9,000? (3 points) a 21 years, 1 month b 18 years, 0 months c 19 years, 10 months d 9 years, 11 months
Answer:
d 9 years, 11 months
Step-by-step explanation:
Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year.
P = $5,960.32
Rate = 4.2%
Number of years = x
Final amount=$9000
Number of times compounded= x/2
A= p(1+r/n)^(nt)
9000= 5960.32(1+(0.042*2)/x)^(x/2 *x)
9000= 5960.32(1+0.084/x)^x²/2
2(9000/5960.32)=(1+0.084/x)^x²
3.019972=((x+0.084)/x)^x²
On trial an error
The value of x is found to be approximately 9 year, 11 months
confused as heck answer?
Answer: C
Step-by-step explanation:
It's actually quite easy.
The problem says that the value of b is 0.5 and the value of c is 0.75
Substitute these values for both variables, and you see that
5b+c = 0.5*5+0.75 = 2.5+0.75 = 3.25
Final Answer = C
An AutoCAD drawing has a scale of 3/4 inches to 2 ft. If a piece of a bridge measures 15 feet, how long is that piece in the AutoCAD printout?
11.25 inches
5.625 inches
22.5 inche
51 inches
Please I really need this for tonight
Answer:
B) 5.625 inches
Step-by-step explanation:
Juanita is a 28-year old female college graduate from the South. Molly is a 28-year female college graduate from the West. Jennifer is a 28-year female college graduate from the Midwest. (i) Construct a 95% confidence interval for the difference in expected earnings between Juanita and Molly. (ii) Explain how you would construct a 95% confidence interval for the difference in expected earnings between Juanita and Jennifer.
Answer:
Hello your question has some missing information attached below is the missing information
answer :
i) ( 0.158 , - 1.018 )
ii) the difference in expected earnings can be computed as
( \(X_{6,A} - X_{5,C} ) = \beta _{0} + \beta _{6} - ( \beta _{0} - \beta _{5} ) = \beta _{6} - \beta _{5}\)
Step-by-step explanation:
i) Construct a 95% confidence interval ( between Juanita and Molly )
Expected difference in earnings = ( X\(_{6}\)\(_{,A}\) - X\(_{6.B}\)) = \(\beta _{0}\)= ( \(\beta + \beta _{6}\) )
∴ 95% confidence interval
-0.43 ± 1.96 * 0.30 = [ -0.43 ± 0.588 ] = ( 0.158 , - 1.018 ) ( hence confidence interval at 95% = 1.96 )
ii) Construct a 95% confidence interval ( between Juanita and Jennifer )
Juanita is a student from the south and Jennifer is a student from Midwest
therefore the difference in expected earnings can be computed as
( \(X_{6,A} - X_{5,C} ) = \beta _{0} + \beta _{6} - ( \beta _{0} - \beta _{5} ) = \beta _{6} - \beta _{5}\)
therefore a 95% confidence interval can be calculated with the above regression model.
Seven less than n is 11
MATHEMATICALLY THIS CAN BE WRITTEN AS:
\(n - 7 = 11 \\ n = 11 + 7 \\ n = 18\)
THAT NUMBER n IS 18
HOPE THIS HELPS
there are how many distinct website graphics to be created?
According to the question there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.
What is website?A website is a collection of related web pages, images, videos, and other digital assets that are hosted on a web server and can be accessed by users over the internet. A website is typically identified by a unique domain name and can be accessed by typing the URL into a web browser.
Using the formula for calculating the number of combinations of size k from a set of size n (n choose k), we can calculate the number of distinct website graphics that can be created by using at least four of seven different bitmap images as follows:
n = 7 (7 different bitmap images)
k = 4 (at least 4 of the 7 bitmap images)
Number of distinct website graphics = (7 choose 4) = 35
Therefore, there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.
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im not sure how to do this, could you explain how ?
In order to check what option is true, we need to look at the graph for the correct values of the function in each given value of x.
For example, f(0) means the value of the function for x = 0, which is 4, so the first option is false.
For the second option, looking at the graph, the value of f(5) is -1, so this is the correct option.
We also have f(3) = 1 and f(2) = 2, so the other options are false.
Therefore the correct option is the second one.
ten minutes later airplane 2 lands with a rate of descent of -97/8 feet per second. which airplane had the fastest rate during its landing?
Airplane 1 had the fastest rate of descent during its landing.
To compare the rates of descent of the two airplanes, we need to convert both rates to a common unit of measurement. Let's convert both rates to feet per minute (ft/min) to make the comparison easier.
Airplane 1 had a rate of descent of -130 ft/s, which is equivalent to:
-130 ft/s × 60 s/min = -7800 ft/min
Airplane 2 had a rate of descent of -97/8 ft/s, which is equivalent to:
(-97/8) ft/s × 60 s/min = -729.375 ft/min
Comparing these two rates, we can see that Airplane 1 had the faster rate of descent during its landing:
-7800 ft/min (Airplane 1) > -729.375 ft/min (Airplane 2)
Therefore, Airplane 1 had the fastest rate of descent during its landing.
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what is .65 cm as a fraction
Answer:
65/100 = 13/20
Step-by-step explanation:
To change this decimal into a fraction, we can put it over 100 since the 5 is in the hundredths. We get 65/100. We can simplify this by dividing by 5. The final simplified answer is 13/20.
I hope this helped and please mark me as brainliest!
2. Billy's Bikes charges an initial fee of $5 per day to rent a beach cruiser, plus
$2.00 per hour. Which graph models this situation? *
Graph it
A quarterback completes 44% of his passes. Show all work.
a. Construct a probability distribution table (out to n = 6) for the number of passes attempted before the quarterback has a completion?
b. What is the probability that the quarterback throws 3 incomplete passes before he has a completion?
c. How many passes can the quarterback expect to throw before he completes a pass?
d. Determine the probability that it takes more than 5 attempts before he completes a pass.
e. If he throws 8 passes on the opening drive, what is the probability that he made at least half of them?
a.The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. the probability is 0.1399.
c. the quarterback can expect to throw about 2.27 passes before completing one.
d. the probability is 0.1865.
e. the probability is 0.7349.
what is probability?The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.
a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:
P(X=k) = \((1-p)^{k-1}\)×p
where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.
The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:
P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰
= 0.56²×0.44
= 0.1399
Therefore, the probability is 0.1399.
c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:
E(X) = 1/p
where p is the probability of completion on each attempt.
In this case, p = 0.44, so the expected number of passes is:
E(X) = 1/0.44
= 2.27
Therefore, the quarterback can expect to throw about 2.27 passes before completing one.
d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:
P(X > 5) = 1 - P(X <= 5)
= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]
= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]
= 0.1865
Therefore, the probability is 0.1865.
e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:
P(X ≥ 4) = 1 - P(X < 4)
where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.
Using the binomial probability distribution table or calculator, we can find:
P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]
= 0.7349
Therefore, the probability is 0.7349.
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Who wants to do my math final it’s only gonna be on geometry I’m a freshmen btw hit me up pls it’s on Tuesday
Step-by-step explanation:
i sure will help
i will try my best to be on time and online
From the diagram below, find the length of AC. Round your answer to the nearest hundredth.
Answer:
D 11.61
Step-by-step explanation:
Arc length is
\(2\pi r(\frac{angle}{360} )\)
r=5 and angle measure is 133
\(2\pi 5(\frac{133}{360} )\\10\pi (\frac{133}{360} )=11.61\\\\\)
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of three fifths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.
A′(5.8, −3), B′(1.6, −1.5), C′(−1.6, 3), D′(2.5, 3)
A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)
A′(2.4, −3.6), B′(1.2, −1.2), C′(−2.4, 1.26), D′(−2.4, −2.4)
A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4)
If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:
Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).
Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).
Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).
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Locate the coordinates of the three highlighted points on the graph of the triangle at right and write them as
ordered pairs (x, y).
Answer: (2,1) (4,7) (6,1)
Step-by-step explanation: the x axis is the bottom line so find a point and see what number it says which is x, the first point. the y axis is the left line so find a point and see which number it says on the line, this is y of the point. you write x first and y second in the point like (x,y)
Which expression can go in the blank to make the equation true?
-4.5 + 4.4 + ? = 0
A.) −6.7+6.8
B.) −6.7+(−6.6)
C.) 7.2 + (-7.2)
D.) 7.2 + (-7.3)
please help !!
Convert 16 quarts to gallons. There are 4 quarts in a gallon.
OA. 32 gallons
OB. 64 gallons
OC. 4 gallons
OD. 8 gallons
16 quarts is equal to 4 gallons.
The correct option is C.
To convert quarts to gallons, we divide the number of quarts by 4 (since there are 4 quarts in a gallon).
Given that we have 16 quarts, we can calculate:
16 quarts / 4 quarts/gallon
= 4 gallons
Therefore, 16 quarts is equal to 4 gallons.
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\(\sqrt[4]{81}\)
Answer:you can use the calculator and when you put 4 and square roots 81, and you will get 36
Answer:3
Step-by-step explanation:
rewrite as √3^4
pull terms out from under
3
or
3 *3*3*3
3 to the fourth power is equal to 81
A rectangle that is 9 meters long has an area of 36 square meters what is the perimeter
Answer:
the perimeter of the rectangle is 26 meters.
Step-by-step explanation:
To find the perimeter of the rectangle, we need to know its width. We can find the width by dividing the area by the length:
width = area / length = 36 / 9 = 4 meters
Now we can use the formula for the perimeter of a rectangle:
perimeter = 2(length + width)
Substituting the given values, we get:
perimeter = 2(9 + 4) = 2(13) = 26 meters
Therefore, the perimeter of the rectangle is 26 meters.
Write the letter of the definition next to the matching word as you work through the lesson.
By responding to the question, we may deduce that Tangent - trigonometry A. is the ratio of the length of the leg nearest to the angle in a right triangle to the length of the leg opposite the angle.
Describe trigonometry?The study of triangular side lengths and angles is known as trigonometry. The concept first appeared during the Hellenistic era, roughly in the third century BC, as a result of the application of geometry in astronomical investigations. The area of mathematics known as exact techniques is concerned with certain trigonometric functions and possible calculations.
There are six commonly used trigonometric functions in trigonometry. The terms they go by include sine, cosine, tangent, cotangent, secant, and cosecant, among others (csc). Triangle properties, especially those of right triangles, are studied in trigonometry. Hence, the study of geometry is the analysis of the properties of all geometric forms.
The ratio of the hypotenuse length in a right triangle to the leg nearest to the angle is known as cosine-B.
function: D. a mapping or association between exactly one range element and each domain element.
The ratio of a right triangle's hypotenuse to its angle's opposite leg length is known as sine-C.
Tangent A is the proportion of a right triangle's leg nearest to the angle to the leg across from it in length.
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How do I calculate the area of the shaded figure?
After watching baking shows on T.V., Angie signs up for a cake-decorating class. To practice her new skills, she decorates a batch of cupcakes with sugar flowers. Angie puts 4 sugar flowers on each cupcake. In all, Angie puts 32 sugar flowers on the cupcakes.
Which equation can you use to find the number of cupcakes c Angie decorates?
Solve this equation for c to find the number of cupcakes Angie decorates.
Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.
To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.
4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.
To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8
Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8
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If C(-2, 4) and D(-6, -1), then what is the length of CD? Round to the nearest tenth.
9514 1404 393
Answer:
6.4
Step-by-step explanation:
The length is found from the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((-6 -(-2))² +(-1-4)²) = √((-4)² +(-5)²) = √(16 +25) = √41
d ≈ 6.4
Answer:
6.4Step-by-step explanation:
hope it helps
#GAUTHMATHNaomi's car can go a maximum
of 125 miles on 1 tank of gas.
She has already driven 5 miles
on her current tank. If it takes
her 30 miles roundtrip to get
to work, how many times can
she drive to work before she
has to fill
up
the tank?
Answer:
89 she drive to work befor she has to fill
Answer:
4 round tripes
Step-by-step explanation:
First, subtract the miles she has already driven
125 - 5 = 120
Then divide the difference of the miles she has already driven
120 ÷ 30 = 4