Dominique used the inequality below to find the maximum number of sweatshirts she could purchase with her savings.

1 answer:

6 0

We just have to find the closest number that can be multiplied by 32 and still be under 300. Do this by following this step:

Divide by 32 on both sides.

x < 9.375

We can't buy 9.375 sweatshirts though, and we can't add more decimals or it will go over 300, so you round down to 9.

Dominique can buy 9 sweatshirts without going over $300!

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Daniel invests $2,037 in a retirement account with a fixed annual interest rate of 6% compounded 6 times per year. What will the

notka56 [123]

Answer:

$\$5294.72$

Step-by-step explanation:

GIVEN: Daniel invests $\$2,037$ in a retirement account with a fixed annual interest rate of $6\%$ compounded $6$ times per year.

TO FIND: What will the account balance be after $16$ years

SOLUTION:

Amount invested by Daniel $=\$2037$

Annual interest rate $=6\%$

Total amount generated by compound interest is $=P(1+\frac{r}{n})^n^t$

Here Principle amount $P=\$2037$

rate of interest $r=6\%$

number of times compounding done in a year $n=6$

total duration of time $nt=16\text{ years}$

putting values we get

= $2037(1+\frac{6}{6\times100})^1^6$

$=2037(\frac{101}{100})^1^6$

$=\$5294.72$

Hence the total balance after $16\text{ years}$ will be $\$5294.72$

4 0

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One serving of Mike’s crackers has 150 calories and a mass of 30 grams. How many calories are in 6 grams of the crackers?

Elodia [21]

$\bf \begin{array}{ccll}
calories&grams\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
150&30\\
c&6
\end{array}\implies \cfrac{150}{c}=\cfrac{30}{6}\implies \cfrac{150\cdot 6}{30}=c$