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2 years ago

12

Emma invested $750 in an account paying an interest rate of 1.9% compounded quarterly. Assuming no deposits or withdrawals are m

ade, how long would it take, to the nearest tenth of a year, for the value of the account to reach $910?

2 answers:

DedPeter [7]2 years ago

4 0

Answer: 10.2

Step-by-step explanation:

storchak [24]2 years ago

3 0

Answer:

10.2

Step-by-step explanation:

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Glenn Andrews recently bought a new motorbike for $3,950. If he had to pay 6 percent sales tax on the bike, what was the total c

madam [21]

<span>The total cost for Glenn Andrews is the value of the motorbike plus the sales tax. The sales tax is found multiplying the value times the percent sales tax rate, divided by 100. This is, tax sales = $3950 * 6% = $ 3950 * 6 /100 = 237. And the total cost was $ 3950 + $237 = $4187.</span>

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3 years ago

which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1

lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. $y=\sec x$

B. $y= \tan x$

C. $y= \cot x$

D. $y= \csc x$

Answer:

A. $y=\sec x$

D. $y=\csc x$

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: $y=\sec x$

We know that, the $\sec x=\frac{1}{\cos x}$

The range of $\cos x$ is from -1 to 1 given as [-1, 1]. So,

$|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the secant function as:

$\sec x\leq -1\ or\ \sec x\geq 1\\$

Therefore, the range of $y=\sec x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

Choice B: $y= \tan x$

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: $y= \cot x$

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: $y=\csc x$

We know that, the $\csc x=\frac{1}{\sin x}$

The range of $\sin x$ is from -1 to 1 given as [-1, 1]. So,

$|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

$\csc x\leq -1\ or\ \csc x\geq 1\\$

Therefore, the range of $y=\csc x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

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3 years ago

Let a and b be non-zero integers

r-ruslan [8.4K]

Answer:

The correct answer is d

Step-by-step explanation:

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3 years ago

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Use the details of Osborn's new credit card to answer the question that follows.

Fittoniya [83]

530(1+.144/12)(.06) = 32.18 so even that is less than 35
So the answer is 31.80

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3 years ago

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If a projectile is modeled by a parabola, what could the x-intercepts represent?

Mars2501 [29]

Answer: The x-intercepts represents the points at which the parabola crosses the axis of x.

Step-by-step explanation:

If it exist then the x-intercepts represent the zeros, roots, or quadratic function, the values of x at y = 0. Then the parabola does not cross the x-axis, so it has no zeros.

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3 years ago