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4 years ago

The two-way table shows the number of students in a school who have bikes and/or skateboards at home:

Mathematics

1 answer:

Tpy6a [65]4 years ago

3 0

If you are looking at the total of just people who have just bikes that's 40 and people who have just skateboards that's 10 so 30 but if its the total of bikes that's 72 and the total of skateboards that's 42 which is also 30. My best guess seeing as i don't know what math class you are in is 30.

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How many years will it take an account to double in value, assuming a 5.2% interest rate compounded quarterly? Round your answer

zhuklara [117]

The money account is doubled at an interest rate of 5.2 % compunded quarterly, that is, under the model of compound interest in a time period of about 3.5 years.

<h3>How to determine the doubling time of money account</h3>

The compound interest takes into account the change of money deposited in time in contrast with the simple interest, which only takes the initial amount of money into account. Please notice that four quarters equals a year.

The compound interest formula is described below:

C = C' · (1 + r/100)ⁿ (1)

Where:

r - Interest rate
n - Number of periods
C' - Initial money amount
C - Current money amount

If we know that C = 2 · C' and r = 5.2, then the doubling time is:

n = /㏒ C/C'/㏒ (1 + r/100)

n = ㏒ 2/㏒ 1.052

n ≈ 13.674

To learn more on compound interests, we kindly invite to check this verified question: brainly.com/question/14295570

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2 years ago

Determine (without solving the problem) an interval in which the solution of the given initial value problem is certain to exist

charle [14.2K]

Answer: t = - 5 ∈ $I_{1}$ = ( -∞ , -4 )

Step-by-step explanation:

The standard form of O.D.E is written as :

$y^{1}$ + $p(t) = g(t)$

Equation given :

$(16-t^{2} )y^{1}$ + $9ty$ = $5t^{2}$ , $y(-5) = 1$

The first thing to do is to write the O.D.E in standard form , that is we will divide through by $16 - t^{2}$ , so we have

$y^{1} + \frac{9ty}{16-t^{2}}=\frac{5t^{2}}{16-t^{2}}$

With this , we can see that $p(t)$ and $g(t)$ are both continuous in the same domain. Therefore , the intervals are :

$I_{1}$ = ( -∞ , -4 )

$I_{2}$ = ( - 4 , 4 )

$I_{3}$ = ( 4 , -∞ )

recall that y(−5) = 1 , then t = -5

This means that :

t = - 5 ∈ $I_{1}$ = ( -∞ , -4 )

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3 years ago

sosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is and measures 24 centimeters. What is the me

pogonyaev

The measure of ? is 36, because if the perimeter of the triangle is 96 and there are 3 sides subtract the base length of 24 from 96 getting you 72 and divide 72 by 2 getting you 36 because there are 2 other sides that are the same length.

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