Answer
$79.45
Use the simple interest formula
A= P(1+rt)
A = 70(1+0.045×3)
And you solve, which gives you 79.45
Answer:
$79.45
Step-by-step explanation:
To find the total amount of money in her account, we can use the following formula:
\(\boxed {A = P(1 + rt)}\)
where:
A = final amount (?)
P = principal (original) amount ($70.00)
r = interest rate (4.5% = 0.045)
t = time (3 years).
Substituting the values into the formula:
\(A = 70(1 + 0.045 \times 3)\)
= \(70(1.135)\)
= $79.45
∴ She has $79.45 in her savings account at the end of three years.
Make a the subject of the formula v = u + at.
Hence, find the value of a when t = 4, u = 10 and v=50.
Step-by-step explanation:
v = u + at
v-u = at
a = (v -u)/t
When t = 4, u=10, v=50
a = (50-10)/4
a= 40/4
a = 10
It was removed for some reason but please help. Show work too pls
Melanie and noah are baking a birthday cake for franceca. The recipe call for 3/4 meauring cup and noah ha a 1/8 meauring cup. Which cup hould they ue
They should use 6 cup of Noah's measuring cup
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Recipe call = 3/4Noah's cup = 1/8Number of cup = ?Calculating the number of cup the should use:
Number of cup = Recipe call / Noah's cup
Number of cup = (3/4) / (1/8)
Number of cup = 3*8 / 4*1
Number of cup = 24/4
Number of cup = 6
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Correctly written question:
Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?
–7.37 + 9.5v = 2.9v + 2.29 + 8.7v
Answer:
the answer of v is -4.6 of the question
Answer:
Your question has already being answered.
I am just here to ask for brainliest please.
sorry for the interruption
Nicole wrapped 28 gifts. Nicole wrapped 4 times as many gifts as Lamar. Let g be the number of gifts that Lamar wrapped
Answer:
Lamar wrapped 7 gifts
Step-by-step explanation:
Lamar wrapped = g
then Nicole wrapped = 4g
then 4 g = 28
g = \(\frac{28}{7} \) = 7
∵Therefore, Lamar wrapped 7 gifts
what is the simplest form of the radical expression sqrt 2+sqrt 5/sqrt 2-sqrt 5
Therefore, the simplest form of the radical expression is (-7 + 2sqrt(10)).
To simplify the expression, we can use the conjugate of the denominator to rationalize the denominator:
(sqrt(2) + sqrt(5)) / (sqrt(2) - sqrt(5)) * (sqrt(2) + sqrt(5)) / (sqrt(2) + sqrt(5))
= (2 + 2sqrt(10) + 5) / (2 - 5)
= (-7 + 2sqrt(10))
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At the deli, 2 turkey subs and 5 veggie subs cost $29. 4 turkey subs and 3 veggie subs cost
$30.
a) Create a linear system to model the equation. Include let statements
b) Solve the linear system to find the cost of a turkey sub and the cost of a veggie sub.
Answer:
4/9 of sales are veggie 5/9 are turkey
4/(4+5)=4/9
5/(4+5)= 5/9
4/9 x 27 = 12
5/9 x 27 = 15
12 veggie subs sold and
15 turkey subs sold
12+15=27 total sold
Step-by-step explanation:
someone pls answer this I'll give whoever answers brainlist!
Leandros resting heart rate is 14 beats in 15 seconds.
A) heart rate is often expressed in beats per minute (bpm).
write Leandros heart rate in nom
b) how many minutes does it take for Leandros heart to beat 1512 times?
help me out please been stuck for a while!!! xC
help please i’ll give u a brainliest
Answer:
1. 36m squared
2. 60 m squared
3.288 m 2
4. 154m 2
Step-by-step explanation:
iq scores are normally distributed with a mean of 100 and a standard deviation of 15. what is the probability of selecting a person at random having an iq between 100 and 120
6.78 is the probability of selecting a person at random having an IQ between 100 and 120 when iq scores are normally distributed with a mean of 100 and a standard deviation of 15.
The given data is as follows:
z = (x-μ)/σ
μ is the population mean = 100
σ is the population standard deviation = 15
For x = 100
z = 101 - 100/15
z = 0.053
Probability value from Z-Table:
P(x = 100) = 0.502
For x = 120
z = 120 - 100/15
z = 1.33
Probability value from Z-Table:
P(x= 120) = 0.0678
Therefore, 6.78 is the probability of selecting a person at random having an IQ between 100 and 120.
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lcd of 2/3 and 3/4 ?
Answer:
The LCD of 2/3 and 3/4 is 12.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Least common denominator is the common denominator, which is the bottom number, that two fractions share.
\(2/3 = 2/3 \cdot 4/4 = 8/12\\3/4 = 3/4 \cdot 3/3 = 9/12\)
➲ Hope this helps.
On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3) crosses the x-axis at (negative 4, 0) and crosses the y-axis at (0, negative 3).
Which statement is true about the graphed function?
F(x) < 0 over the interval (–∞, –4)
F(x) < 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –4)
Answer:
Step-by-step explanation:
It's the last choice because that's the only place where the graph is above the x-axis, making f(x) > 0 or positive.
Answer:
D
Step-by-step explanation:
solve pls brainliest
Answer:
Mixed Number: 5 \(\frac{7}{10}\)
Improper Fraction:\(\frac{57}{10}\)
Step-by-step explanation:
A mixed number is when you express the decimal as a fraction, 0.7 is the same as \(\frac{7}{10}\), so 5\(\frac{7}{10}\) is your answer.
An improper fraction is a fraction where the numerator is bigger than the denominator, to do this you multipy the whole number 5, which can be written as \(\frac{5}{1}\), by \(\frac{10}{10}\).
\(\frac{5}{1}\)·\(\frac{10}{10}\)=\(\frac{50}{10}\)
Then add 0.7, or \(\frac{7}{10}\).
\(\frac{50}{10}\)+\(\frac{7}{10}\)=\(\frac{57}{10}\)
Would you please mark my answer brainliest if it helped you? :D
Solve the problem. Round dollar amounts to the nearest cent. Use ordinary interest (360 days in a year) unless otherwise indicated. Chris Owens bought a new computer system. To pay for the system, he borrowed $3,290 from the credit union at 10(1/3)% interest for 110 days. Find the interest.
To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:
Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)
Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.
A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.
It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.
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answer this: 25/x = 7/3
The solution to the proportional equation in this problem is given as follows:
x = 75/7.
How to solve the proportional equation?The proportional equation in the context of this problem is defined as follows:
25/x = 7/3.
The equation is proportional, meaning that we can obtain the value of x applying cross multiplication as follows:
7x = 25 x 3
7x = 75
x = 75/7.
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Entering Numerical Answers This question asks for a number answer. Acceptable answers include whole numbers, integers (negative numbers), and decimal values. (These questions will normally require you to do calculations by hand or with a computer before you enter a final answer.) In special cases, you may need to enter DNE for "Does not exist", oo for infinity, or -oo for negative infinity. If your answer is not an exact value, you'll want to enter at least 3 decimal places unless the problem specifies otherwise Try it out Enter the number 41.2751 below exactly (no rounding) Enter the number 41.2751 rounded to the nearest hundredth (two decimal places) Enter the result of 41.2751 0
The number 41.2751 entered exactly (no rounding) is 41.2751. The number 41.2751 rounded to the nearest hundredth (two decimal places) is 41.28. The result of 41.2751 multiplied by 0 is 0.
In the first case, when the number 41.2751 is entered exactly without rounding, the value remains as 41.2751. This means that no rounding or approximation has been made, and the number is presented in its precise form.
In the second case, when the number 41.2751 is rounded to the nearest hundredth (two decimal places), it becomes 41.28. Rounding to the nearest hundredth means considering the digit in the thousandth place (5) and rounding up if it is 5 or greater. Since the digit is 5, the preceding digit (7) is rounded up to 8, resulting in 41.28.
Finally, when the number 41.2751 is multiplied by 0, the result is 0. Any number multiplied by 0 equals 0, as any quantity multiplied by zero will always result in zero. Therefore, the product of 41.2751 and 0 is 0.
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The equation of the plane containing the point (2,3,7) and perpendicular to the line with direction vector ⟨7,5,2⟩.
The equation of the plane containing the point (2,3,7) and perpendicular to the line with direction vector ⟨7,5,2⟩ is 7x + 5y + 2z = 39.
To find the equation of a plane, we need a point on the plane and a normal vector to the plane. We are given the point (2,3,7), which lies on the plane. Now, we need to find the normal vector.
The direction vector ⟨7,5,2⟩ of the line is parallel to the plane, and any vector perpendicular to this line will be normal to the plane. To find a normal vector, we can take the cross product of the direction vector of the line and any other vector not parallel to it.
Let's choose the vector ⟨1,0,0⟩ as a second vector. Taking the cross product of ⟨7,5,2⟩ and ⟨1,0,0⟩, we get the normal vector ⟨0,2,-5⟩.
Now, using the point-normal form of the equation of a plane, we have:
0(x - 2) + 2(y - 3) - 5(z - 7) = 0
Simplifying the equation, we get:
2y - 4 + 5z - 35 = 0
2y + 5z - 39 = 0
Rearranging the equation, we obtain the final form:
7x + 5y + 2z = 39
The equation of the plane containing the point (2,3,7) and perpendicular to the line with direction vector ⟨7,5,2⟩ is 7x + 5y + 2z = 39.
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Chloe divide a 40-pound bag of potting soil equally among 7 flowerpots how many pounds of potting soil chloe put in each pot, the number of pounds of potting soil chloe put in each pot falls between which two whole numbers?
Chloe put approximately 6 pounds of potting soil in each pot.
To find out how many pounds of potting soil Chloe put in each pot, we need to divide the total weight of the bag (40 pounds) by the number of flowerpots (7).
Using division, we have: 40 ÷ 7 = 5.7142857
Since we're dealing with whole numbers, we need to round the decimal to the nearest whole number. In this case, the decimal is closer to 6 than 5, so we round up to 6.
The two whole numbers between which the number of pounds of potting soil falls are 5 and 6.
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Which equation can be used to find 40 percent of 25? StartFraction 25 divided by 1 Over 40 divided by 1 EndFraction = StartFraction 25 Over 40 EndFraction StartFraction 100 times 4 Over 40 times 4 EndFraction = StartFraction 400 Over 16 EndFraction StartFraction 40 times 4 Over 25 times 4 EndFraction = StartFraction 160 Over 100 EndFraction StartFraction 40 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 10 Over 25 EndFraction
Answer:
d
Step-by-step explanation:
Answer:
I think it's D
Step-by-step explanation:
Sorry if im wrong.
f(x) = √√72x³ + 144 Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form. L(x) = Use the tangent line to approximate (1.1). L(1.1)= Compute the actual value of (1.1). What is the error between the function value and the linear approximation? Answer as a positive value only. [error] = (Approximate to at least 5 decimal places.)
To find the error between the function value and the linear approximation, we calculate the absolute difference:
[error] = |f(1.1) - L(1.1)|.
To find the equation of the tangent line to the graph of the function f(x) at x = 1, we first need to find the derivative of f(x) and evaluate it at x = 1.
Given f(x) = √√(72x^3 + 144), we can rewrite it as f(x) = (72x^3 + 144)^(1/4) and take the derivative.
Taking the derivative of f(x) using the chain rule, we get:
f'(x) = (1/4) * (72x^3 + 144)^(-3/4) * 3 * (72x^2).
Simplifying, we have:
f'(x) = 3 * (72x^2) / 4 * (72x^3 + 144)^(3/4).
Evaluating f'(x) at x = 1, we get:
f'(1) = 3 * (72(1)^2) / 4 * (72(1)^3 + 144)^(3/4)
= 216 / (288)^(3/4).
Now we have the slope of the tangent line. To find the equation of the tangent line, we can use the point-slope form:
y - y1 = m(x - x1), where (x1, y1) is the point of tangency.
Plugging in x1 = 1 and y1 = f(1), we get:
y - f(1) = f'(1)(x - 1).
Now we need to evaluate f(1) and substitute the slope f'(1) into the equation.
Calculating f(1), we have:
f(1) = √√(72(1)^3 + 144)
= √√(216 + 144)
= √√360
= √6.
Substituting f(1) = √6 and f'(1) = 216 / (288)^(3/4) into the equation of the tangent line, we get:
y - √6 = (216 / (288)^(3/4))(x - 1).
Simplifying, we have:
y - √6 = (216 / (288)^(3/4))x - (216 / (288)^(3/4)).
Rearranging the equation to the mx + b form, we get:
L(x) = (216 / (288)^(3/4))x - (216 / (288)^(3/4)) + √6.
To approximate L(1.1), we substitute x = 1.1 into the equation:
L(1.1) = (216 / (288)^(3/4))(1.1) - (216 / (288)^(3/4)) + √6.
To compute the actual value of f(1.1), we substitute x = 1.1 into the original function:
f(1.1) = √√(72(1.1)^3 + 144).
Finally, to find the error between the function value and the linear approximation, we calculate the absolute difference:
[error] = |f(1.1) - L(1.1)|.
Please note that the exact numerical calculations may vary depending on the specific values of √6, (216 / (288)^(3/4)), and f(1.1) obtained.
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what are the angle measures given the figure is a rhombus??
Answer:
28° at top and 1° at bottom
Step-by-step explanation:
If you look at it u can see that it's even so you would know it would be the same answer on each side.
What is the axis of symmetry and vertex?
y=-3x2-24x-42
Can someone help me pls
Answer:
okay can you tell me if the first -3x and second 24x are multiply or are just letters and I than I will post the answer
Luis created a spreadsheet of his expenses for three months. Which of Luis's expenses are variable expenses
utility bill
Expenses Jan Feb Mar
rent
$1,250,00 $1,250,00 $1,250,00
$124. 11 $108. 72 $121. 69
car loan payment $384. 00 3384,00 $384. 00
Insurance payment 397. 18 597. 18 $97. 18
groceries
$315,43 $367. 25 $341. 04
clothing
$72. 18 $152. 74 $0. 00
fuel
$108. 71 $117. 46 $127. 34
Variable expenses are expenses that fluctuate from month to month, and are typically not a fixed amount. Examples of variable expenses include groceries, fuel, clothing, and entertainment. These expenses can be influenced by various factors such as personal choices, seasonality, and external events.
In Luis's expenses, the following expenses are variable expenses:
Groceries: The amount spent on groceries changes from month to month depending on the types of food Luis purchases and the quantity he buys.Clothing: This expense is variable because Luis only spent money on clothing in January and February, and did not spend anything on clothing in March.Fuel: The amount spent on fuel changes from month to month depending on how often Luis drives and the price of gasoline.On the other hand, the following expenses are fixed expenses:
Rent: This expense is fixed because Luis pays the same amount for rent every month.Car loan payment: This expense is fixed because Luis is required to pay the same amount for his car loan every month.Insurance payment: This expense is fixed because Luis is required to pay the same amount for his insurance every month.Utility bill: The utility bill could be either a variable or fixed expense, depending on the type of utility. For example, if the utility bill is for electricity, it may be a variable expense because the amount of electricity used can fluctuate from month to month. However, if the utility bill is for a fixed service such as internet, it would be a fixed expense.To learn more about “utility” refer to the https://brainly.com/question/14729557
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Answer:
groccieries is the answer for plato 2023
Jan invests $2,000 in an account that compounds continuously at 4%. How long will it take to quadruple her money?
Answer:
Compound interest is calculated by the given formula
Principle× (1+r/100)^n
Therefore after substitution we get
2000(1+5/100)^4 = $24310
We are asked to find the amount after the compound interest, which will be obtained by subtracting the principle
We get,
24310-2000= $22310
Step-by-step explanation:
The number of pints of water in the bucket is given by the formula P(t) = t + 5, where P(t) is the number of pints of water in the bucket, and t is the number of seconds Christopher ran the hose into the bucket. What does the slope of the formula represent?
The number of pints of water in the bucket is given by the formula P(t) = t + 5, where P(t) is the number of pints of water in the bucket, and t is the number of seconds Christopher ran the hose into the bucket. The slope of the formula P(t) = t + 5 represents the rate of change of water level in the bucket with respect to time.
The formula P(t) = t + 5, where P(t) is the number of pints of water in the bucket, and t is the number of seconds Christopher ran the hose into the bucket. The formula shows that the number of pints of water in the bucket is increasing linearly with respect to time. That is, for every one-second increment in time, Christopher puts one more pint of water in the bucket.
The formula, therefore, describes a linear relationship between the volume of water in the bucket and the time Christopher spends running the hose. It means that the slope of the formula represents the rate at which the water level in the bucket changes with respect to time.
The slope is 1 or 1/1, which means that the water level in the bucket increases at the rate of one pint per second. Therefore, the slope of the formula represents the rate of change of water level in the bucket with respect to time (or the speed of filling of the bucket with water).
Conclusively, the slope of the formula P(t) = t + 5 represents the rate of change of water level in the bucket with respect to time.
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Create an equation that models the number of tiles in a given stage.
The number of tiles (y) at any x stage is given by the equation y = 2x - 1
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
From the table, the number of tiles increases by 2 for every additional stage. Let y represent the number of tiles and x represent the stage, hence:
y = 1 + (x - 1)2
y = 2x - 1
The number of tiles (y) at any x stage is given by the equation y = 2x - 1
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f(x)=x\(x^{2}\)for f(-8)
The value of the function f(-8) is -512
What is a function?A function is defined as an expression, rule or law that shows the relationship between two variables;
The dependent variablesThe independent variablesGiven the function:
f(x)= x × x²
To determine the function f(-8), we substitute the value of x as -8 in the function
With this, we have;
f(-8) = (-8) × (-8)²
expand the bracket
f(-8) = -8 × 64
Multiply through
f(-8) = - 512
The value of the function is -512
Thus, the value of the function f(-8) is -512
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a concert started at 5:22pm on friday. the concert ended at 7:04 pm. how long did the concert last?
Answer:
1 hour and 42 min
Step-by-step explanation:
Which test statistic should be used when computing a confidence interval given only the number in a sample, the sample mean and sample standard deviation?.
T test is used to compute the confidence interval, when the mean and standard deviation is given.
What is Standard Deviation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be very close to the set mean. The lower case Greek letter (sigma), again for population standard deviation, or even the Latin letter s, again for sample standard deviation, are most frequently used in mathematical texts and equations to represent standard deviation. Standard deviation may be abbreviated as SD. A random variable, specimen, statistical population, data set, as well as probability distribution's standard deviation is equal to the square root of its variance. When the number in a sample, sample mean and sample standard deviation is given, the test statistic that should be used when computing a confidence interval is t test
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