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2 years ago

An art teacher needs to buy at least 60 brushes for her class. The brushes are sold in packs of 8.

Mathematics

1 answer:

kari74 [83]2 years ago

4 0

Answer:

The art teacher needs to buy at least 8 packs of 8 brushes.

Step-by-step explanation:

Every pack has 8 brushes. She needs AT LEAST 60 so she cannot have less than 60 brushes but can have more than 60. 8 x 8 =64 so she would have 4 bushes left over. She needed to buy 8 packs so she can have at least 60.

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Gareth has $2,000 to invest. Putting the money in a savings account at his local bank will earn him 2.2% annual interest and giv

strojnjashka [21]

Gareth has $2,000 to invest. Putting the money in a savings account at his local bank will earn him 2.2% annual interest.

Interest earned in local bank = 2000 * 22.2% = 2000 * 0.022 = 44

Putting the money in an online savings account will earn him 4.85% annual interest

Interest earned in online account = 2000 * 4.85% = 2000 * 0.0485 = 97

He will be charged $3 every time he makes an ATM withdrawal.

In online account, the interest is 97 . If he withdraws 18 times then

Total ATM fee is 18 * 3= 54 . so 97 - 54 = 43

43 is lower than 44 that is interest of local account.

Therefore, 18 ATM withdrawals make local savings account to be a better deal than the online savings account every year.

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2 years ago

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The average blood alcohol concentration (bac) of eight male subjects was measured after consumption of 15 ml of ethanol (corresp

Neporo4naja [7]

Answer:

After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.

Step-by-step explanation:

The average blood alcohol concentration (bac) is modeled by the following function.

$c(t) = 0.0225te^{-0.0467t}$

In which t is measured in minuted.

How rapidly was the BAC increasing after 5 minutes?

This is c'(t) when t = 5.

Using the derivative of the product.

Derivative of the product:

$c(t) = f(t)*g(t)$

$c'(t) = f'(t)*g(t) + f(t)*g'(t)$

In which problem:

$f(t) = 0.0225t$

$g(t) = e^{-0.0467t}$

$c'(t) = 0.0225e^{-0.0467t} - 0.0225*0.0467*te^{-0.0467t}$

$c'(5) = 0.0225e^{-0.0467*5} - 0.0225*0.0467*5e^{-0.0467*5} = 0.0137$

After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.

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2 years ago

Caroline, Colin & Sarah share some money.

julia-pushkina [17]

Answer:

2/9

Step-by-step explanation:

After Caroline's share,

1 - 1/9 = 8/9 is left

Sarah gets:

1/(1+3) of 8/9

1/4 × 8/9

2/9

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2 years ago

. James has 16 ounces (oz.) of cookie dough. If he uses 0.56 oz. of cookie dough for each

Anna71 [15]

Step-by-step explanation:

<u>Step 1: Find the reasonable estimate</u>

<u /> $Total\ Amount\ of\ Dough / Dough\ Per\ Cookie$

$16 / 0.56$

$28.571...$

The closest number to 28 out of the option is 30. Therefore, the correct option is D.

Answer: Option D

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2 years ago

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Antony has a net spendable income of $1,950 per month. What is the maximum recommended amount of money that he should budget for

REY [17]

The max budget for food is 17%

.17 x 1950 = 331.5

The answer is $332

Just took this test and got it right

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2 years ago

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