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3 years ago

A student drove 9,500 miles in his car last year. Fixed costs totaled $1,215.

Mathematics

1 answer:

Dafna11 [192]3 years ago

3 0

Answer: $7,81; $4.78 per mile

Step-by-step explanation:

To get the cost per mile we have to divide 9,500 by the cost.

(The total cost annual was $3,200)

9,500 divided by $1,215 = $7.81

9,500 divided by $1,985 = $4.78

I hope this helps!

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A rain storm came through Clifton park and it was accumulating 2/3 inches of rain/hour. How many inches of rain would fall in 6

nlexa [21]

4 inches of rain would fall in 6 hours

<h3><u>Solution:</u></h3>

Given that, A rain storm came through Clifton park

And it was accumulating $\frac{2}{3}$ inches of rain/hour

So amount of rain accumulated in 1 hour = $\frac{2}{3}$

Thus amount of rain accumulated in six hours is calculated by multiplying the amount of water accumulating per hour and 6

Amount of water accumulated in 6 hours = Amount of water accumulated in 1 hour $\times$ 6

$\text { Amount of water accumaulated in 6 hours }=\frac{2}{3} \times 6=4$

<em><u>Another way:</u></em>

Let "n" be the amount of rain accumulated in 6 hours

1 hour ⇒ $\frac{2}{3}$ rain accumulated

6 hours ⇒ "n"

By cross multiplication, we get

$6 \times \frac{2}{3} = 1 \times n\\\\n = \frac{2}{3} \times 6 = 4$

Hence, 4 inches of rain would fall in 6 hours.

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3 years ago

CASEY HAS A BACKYARD THAT IS A 50-BY-50 FOOT SQUARE. SHE TURNED OVER AN IRREGULARLY-SHAPED PLOT OF SOIL TO PLAN A GARDEN. TO FIN

ser-zykov [4K]

Given the description of the irregular garden, the area will be given by:
Area=(regular points)+1/2(irregular points)
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irregular points=420
thus
Area=1500+1/2(420)
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2 years ago

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Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots

olga2289 [7]

Answer:

f(x) = $3x^{3} - 6x^{2} - 15x + 30$

Step-by-step explanation:

If $\sqrt{5}$ is a root, then so is - $\sqrt{5}$

f(x) = 3(x + $\sqrt{5}$ )(x - $\sqrt{5}$ )(x - 2)

= $3(x^{2} - 5)(x - 2)$

= 3( $x^{3} - 2x^{2} - 5x + 10$ )

= $3x^{3} - 6x^{2} - 15x + 30$

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3 years ago

What is the surface area of the figure below in square meters?

valina [46]

Answer:

40 m²

Step-by-step explanation:

square area = 4x4 = 16 m²

4 triangles area = 4x3x0.5x4 = 24 m²

16 + 24 = 40 m²

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3 years ago

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Suppose that $4000 is placed in a savings account at an annual rate of 6.4%, compounded quarterly. Assuming that no withdrawals

s2008m [1.1K]

Answer:

3.25 years (nearest hundredth)

Step-by-step explanation:

<u>Compound Interest Formula</u>

$\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}$

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Given:

A = $4916
P = $4000
r = 6.4% = 0.064
n = 4 (quarterly)

Substitute the given values into the formula and solve for t:

$\implies \sf 4916=4000\left(1+\frac{0.064}{4}\right)^{4t}$

$\implies \sf 4916=4000\left(1.016\right)^{4t}$

$\implies \sf \dfrac{4916}{4000}=\left(1.016\right)^{4t}$

$\implies \sf \dfrac{1229}{1000}=\left(1.016\right)^{4t}$

$\implies \sf \ln \left(\dfrac{1229}{1000}\right)=\ln \left(1.016\right)^{4t}$

$\implies \sf \ln \left(\dfrac{1229}{1000}\right)=4t \ln \left(1.016\right)$

$\implies \sf t=\dfrac{\ln \left(\frac{1229}{1000}\right)}{4\ln \left(1.016\right)}$

$\implies \sf t=3.247594892...$

Therefore, it will take 3.25 years (nearest hundredth) for the account to grow to $4916.

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