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2 years ago

8

In oak valley the cost of gas averaged $3.50 per gallon qt the start of April the rose 6% during April and dropped 10% during Ma

y. What was the cost of a gallon of gas at the end of May?

1 answer:

andreev551 [17]2 years ago

8 0

Answer:

$ 3.34

Step-by-step explanation:

3.50 * 1.06 cost at end of April then find 90% of this to find end of May

3.50 * 1.06 * .9 = $ 3.34

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Sonja's house is 4 blocks west and 1 block south of the center of town. Her school is 3 blocks east and 2 blocks north of the ce

adoni [48]

Answer:

The answer is √58 = 7.62

Step-by-step explanation:

So, if you draw this down, you will see that the direct distance is hypotenuse c of a right triangle which sides are 3 blocks (1 south and 2 north) and 7 blocks (4 west and 3 east).

Use the Pythagorean theorem:

c² = a² + b²

a = 3

b = 7

c² = 3² + 7²

c² = 9 + 49

c² = 58

c = √58

c = 7.62

8 0

3 years ago

Read 2 more answers

sally works 38 hours er week her weekly wage is £355.68 she recieves a pay increase of 23p per hour whats her new weekly wage

zhenek [66]

Answer:

£364.42

Step-by-step explanation:

Weekly wage = £355.68
Work week = 38 hours

<u>Hourly pay is:</u>

£355.68/38 = £9.36

<u>New payment per hour:</u>

£9.36 + £0.23 = £9.59

<u>New weekly wage is:</u>

£9.59*38 = £364.42

4 0

3 years ago

Which ordered pairs make the equation true?

Nata [24]

(-4,-2)
You just plug in the numbers from the ordered pair, into your equation. Remember, the formula for ordered pairs are (x,y). :)

6 0

3 years ago

Read 2 more answers

Please help with #7!!!

ioda

Answer:

44

Step-by-step explanation:

Given a polynomial f(x) divided by (x + h) then the remainder is f(- h)

Here f(x) is divided by (x + 4), thus remainder is calculated as

f(- 4) = (- 4)³ + 5(- 4)² - 7(- 4)

= - 64 + 5(16) + 28

= - 64 + 80 + 28 = 44 ← Remainder

8 0

3 years ago

3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d

pychu [463]

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
$\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}$

Where <em>A</em> is the final amount, <em>P</em> is the initial amount, <em>r</em> is the interest rate, <em>n</em> is the number of times compounded per year, and <em>t</em> is the number of years.

To obtain $4000 after two years, let <em>A</em> = 4000 and<em> t</em> = 2.

Because the account pays 3% interest compounded monthly, <em>r</em> = 0.03 and <em>n</em> = 12.

Substitute and solve for <em>P: </em>

<em /> $\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}$

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

$\displaystyle A = Pe^{rt}$

Where <em>e</em> is Euler's number.

Hence, let <em>A</em> = 4000, <em>r</em> = 0.04 and <em>t</em> = 2. Substitute and solve for <em>P: </em>

<em /> $\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}$

In conclusion, about $3692.47 should be deposited.

8 0

2 years ago