James deposited $575 into a bank account that earned 5.5% simple interest each year. If no money was deposited into or withdrawn from the account, how much money was in the account after ​ ​ 2 ​ ​ years? Round your answer to the nearest cent. Enter your answer in the box.

Answer: [tex]y = 2x + 6[/tex]

Step-by-step explanation:

Let x represents the number of days .

Given : There are 6 quarters in a jar.

Jill adds 2 quarters to the jar every day.

Then, the number of quarters added in x days = 2x

Now, the total number of quarters in the jar after x days = 2x+6

Hence, the linear equation represents the total amount of quarters in the jar after x days will be:-

[tex]y = 2x + 6[/tex]

Answer:

C. 14

Step-by-step explanation:

I just answered it correct

Answer:

∠ NLO ≅ ∠ NPM Corresponding Parts of Congruent Triangles Are Congruent

Step-by-step explanation:

It's on my chart on the test this is 100% right

Final answer:

Hector used the Angle-Angle-Side Postulate to show congruency between two triangles. Therefore, the corresponding angles are congruent with the CPCTC principle. Thus, option 3 is correct.

Explanation:

Hector claims that ΔLNO ≅ ΔPNM is based on the Angle-Angle-Side Postulate.

Since the triangles are congruent, their corresponding parts must also be congruent.

Therefore, the statement that ∠NLO ≅ ∠NPM is supported by the principle that Corresponding Parts of Congruent Triangles Are Congruent (CPCTC).

Final answer:

The total interest on a ten-year, 6.1% loan with a principal of $32,000 is $19,520.

Explanation:

To find the total interest, we need to use the formula:

Interest = Principal × Rate × Time

Given that the principal is $32,000, the interest rate is 6.1%, and the time is 10 years, we can substitute these values into the formula to calculate the total interest:

Principal: $32,000

Rate: 6.1%

Time: 10 years

Interest = $32,000 × 0.061 × 10 = $19,520

Therefore, the total interest on a ten-year, 6.1% loan with a principal of $32,000 is $19,520.

Answer:

its A if you are taking the unit test

Step-by-step explanation:

Answer:

[tex]p=\dfrac{49}{40}a^2-88a+\dfrac{13579}{8}[/tex]

Step-by-step explanation:

Let premium p for age of a , (p,a)

# An insurance company charges a 35-year old non-smoker an annual premium of $118 for a $100,000 term life insurance policy.

(35,118)

# An insurance company charges a 45-year old non-smoker an annual premium of $218 for a $100,000 term life insurance policy.

(45,218)

# An insurance company charges a 55-year old non-smoker an annual premium of $563 for a $100,000 term life insurance policy.

(55,563)

Let quadratic model be p=Aa²+Ba+C

Substitute the points into equation

[tex]118=35^2A+35B+C[/tex]

[tex]118=1225A+35B+C[/tex] -------------(1)

[tex]218=45^2A+45B+C[/tex]

[tex]218=2025A+45B+C[/tex] -------------(2)

[tex]563=55^2A+55B+C[/tex]

[tex]563=3025A+55B+C[/tex] -------------(3)

Solve system of equation and find out A, B and C using calculator.

[tex]A=\dfrac{49}{40},B=-88,C=\dfrac{13579}{8}[/tex]

Quadratic model:

[tex]p=\dfrac{49}{40}a^2-88a+\dfrac{13579}{8}[/tex]

By the definition of the functions of trigonometry, the sine of  is equal to the -coordinate of the point with polar coordinates , giving . Similarly, , since it is the -coordinate of this point. Filling out the rest trigonometric functions then gives

Robin's basket is heavier than Ted's basket by 2 ounces.

To determine whose basket is heavier, we need to find the total weight of each basket.

Ted's basket contains 5 apples, each weighing 8 ounces. Therefore, the total weight of Ted's basket is 5 * 8 = 40 ounces.

Robin's basket contains 6 apples, each weighing 7 ounces. Therefore, the total weight of Robin's basket is 6 * 7 = 42 ounces.

Since Robin's basket weighs 42 ounces and Ted's basket weighs 40 ounces, Robin's basket is heavier by 2 ounces.

The question is about finding the first and second derivatives of y with respect to x. The first derivative dy/dx is found to be (1+t)e^-2t, and the second derivative d2y/dx2 is found to be -2e^-2t.

The derivatives are found by differentiating each function with respect to t first, using the product and chain rules, respectively: the derivatives dy/dt and dx/dt are dy/dt = e^-t - te^-t and dx/dt = e^t. Then, dy/dx can be found as (dy/dt)/(dx/dt), and the second derivative d2y/dx2 can be obtained by differentiating dy/dx with respect to x, which will utilize the quotient rule. Specifically, dy/dx = (e^-t(1+t))/(e^t) which simplifies to (1+t)e^-2t, and after a relatively complex differentiation for d2y/dx2, we get -2e^-2t.

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Out of 400 students in school, 200 students would want sandwich in school.

The question is asking to predict how many students would want sandwiches for lunch in a school of 400 based on a sample of 24 students where 12 wanted a sandwich.

Calculate the proportion of students in the sample wanting a sandwich: 12/24 = 0.5

Apply the proportion to the larger school: 0.5 x 400 = 200 students.

we know that

a) A box of ground nutmeg weighs [tex]1 1/3[/tex] ounces

b) There are [tex]20[/tex] teaspoons of nutmeg in the box

Step 1

Convert mixed number to an improper fraction

[tex]1\frac{1}{3} \ ounces= \frac{1*3+1}{3}= \frac{4}{3}\ ounces[/tex]

Step 2

By proportion

Find the weight of one teaspoon

[tex]\frac{(4/3)}{20} \frac{ounces}{teaspoons} =\frac{x}{1} \frac{ounces}{teaspoon} \\ \\x= \frac{4}{20*3}\\ \\x= \frac{4}{60}\ ounces\\\\x=\frac{1}{15}\ ounces[/tex]

therefore

the answer is the option

[tex]\frac{1}{15}\ ounces[/tex]

Answer:$352.16

Im in a rush so cant add explaination

The slope intercept form of the given equation of a line is y= -3/2 x -15.

The given equation of the line is -3x-2y=30.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Now,

-3x-2y=30

⇒ -2y=3x+30

⇒ y= -3/2 x -15

Therefore, the slope intercept form of the given equation of a line is y= -3/2 x -15.

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Answer: Olivia needs 110 points on her final exam in order to earn at least a B in Math.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

Here, given that,

Olivia must earn 475 points out of 550 to receive a b in math.

so far she had earned 240 test points

85 quiz point

and 40 homework points.

Solution: 240 + 85 + 40 = 365

Now, we get,

475 - 365 = 110

Hence, Answer: Olivia needs 110 points on her final exam in order to earn at least a B in Math.

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The number 9 can be expressed as a power of 3 by finding the appropriate exponent that, when raised to the base 3, equals 9. This exponent is 2, making 9 written as a power of 3 to be 3².

To write the number 9 as a power of the base 3, we look for an exponent that can be raised to the base 3 to result in the number 9. This is achieved by recognizing that 3 squared (3²) equals 9. So, 9 expressed as a power of 3 is 3².

When raising a number to a power, such as generating the cubing of exponentials, you cube the digit term normally and multiply the exponent by 3. However, in this case of 9 as a power of 3, we are not cubing but rather finding which power results in the number 9 when using the base 3. The process involves simple experimentation or recollection that 3¹ = 3, 3² = 9, and so on.

In mathematics, writing numbers in exponential form is essential, as it simplifies operations and understanding of scale. It's a useful concept, not only for integer powers but also when dealing with decimal or negative exponents.