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3 years ago

What is the relationship among proportional relationships, lines, rates of change, and slope?

1 answer:

8 0

For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.

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Austin borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 5% the total interest

Reika [66]

Given:

Rate of simple interest = 5%

Time = 4 years

Total interest = $160

To find:

The amount borrowed by Austin from a credit union.

Solution:

The formula for simple interest is:

$I=\dfrac{P\times r\times t}{100}$

Where, P is principal, r is the rate of interest and t is the number of years.

Putting $I=160,r=5,t=4$ in the above formula, we get

$160=\dfrac{P\times 5\times 4}{100}$

$160=\dfrac{20P}{100}$

$160=\dfrac{P}{5}$

Multiply both sides by 5.

$800=P$

Therefore, Austin borrowed $800 from a credit union for 4 years.

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2 years ago

listed in the table is the percentage of students who choose each type of milk at lunchtime. use the table to determine the meas

sladkih [1.3K]

Answer:

i cant see the picture its blocked

Step-by-step explanation:

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2 years ago

Scientists modeled the intensity of the sun, I, as a function of the number of hours since 6:00 a.m., h, using the

MAVERICK [17]

The functions are illustrations of composite functions.

<em>The soil temperature at 2:00pm is 67</em>

The given parameters are:

$\mathbf{I(h) =\frac{12h - h^2}{36}}$ ---- the function for sun intensity

$\mathbf{T(I) =\sqrt{5000I}}$ -- the function for temperature

At 2:00pm, the value of h (number of hours) is:

$\mathbf{h = 2:00pm - 6:00am}$

$\mathbf{h = 8}$

Substitute 8 for h in $\mathbf{I(h) =\frac{12h - h^2}{36}}$ , to calculate the sun intensity

$\mathbf{I(8) =\frac{12 \times 8 - 8^2}{36}}$

$\mathbf{I(8) =\frac{32}{36}}$

$\mathbf{I(8) =\frac{8}{9}}$

Substitute 8/9 for I in $\mathbf{T(I) =\sqrt{5000I}}$ , to calculate the temperature of the soil

$\mathbf{T(8/9) =\sqrt{5000 \times 8/9}}$

$\mathbf{T(8/9) =\sqrt{4444.44}}$

$\mathbf{T(8/9) =66.67}$

Approximate

$\mathbf{T(8/9) =67}$

Hence, the soil temperature at 2:00pm is 67

Read more about composite functions at:

brainly.com/question/20379727

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2 years ago

I am a multiple of 10. My factors included and even number and an odd number.im greater than 15 and but less than 28. What numbe

Ymorist [56]

Answer:

Step-by-step explanation:

Multiples of 10 are: 10, 20, 30, 40, 50, ... and so on.

Only one of them: 20 falls between 15 and 28.

Other conditions are also true for 20 - it has a factor that is an even number (all its even factors are: 2, 4, 10, 20) and it has a factor that is an odd number (all its odd factors are: 1, 5).

8 0

3 years ago

Read 2 more answers

Alonzo Kelly has a checking account with the Central Bank. He earns 0.7% per month. If he maintains a balance of $1000, his chec

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I'm sorry i can't awenser i

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3 years ago