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3 years ago

Explain how you would use a number line to find the absolute value of –12.

2 answers:

7 0

This is kind of hard to explain, but I'm going to try. Feel free to comment questions if what I'm going to say doesn't make sense.

Absolute Value
∞ # of spaces away from zero
∞ how far away a number is from zero

1). Draw a number line.
2). Label it from -12 to 0.
3). Count on the number line from -12 to 0 and see how many units to the right you have to go to reach zero. The answer is 12, so that is the absolute value.
|-12| = 12

just olya [345]3 years ago

6 0

The absolute value is 12. I don't know how you would use the number line to your advantage but that's because that's not how they taught me in school.

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If you invest $100,000 in an account earning 8% interest compounded annually, how long will it take until the account holds $300

Monica [59]

We have been given that you invest $100,000 in an account earning 8% interest compounded annually. We are asked to find the time it will take the amount to reach $300,000.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

$8\%=\frac{8}{100}=0.08$

$300,000=100,000(1+\frac{0.08}{1})^{1\cdot t}$

$300,000=100,000(1.08)^{t}$

$\frac{300,000}{100,000}=\frac{100,000(1.08)^{t}}{100,000}$

$3=(1.08)^{t}$

$(1.08)^{t}=3$

Let us take natural log on both sides of equation.

$\text{ln}((1.08)^{t})=\text{ln}(3)$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$t\cdot \text{ln}(1.08)=\text{ln}(3)$

$\frac{t\cdot \text{ln}(1.08)}{\text{ln}(1.08)}=\frac{\text{ln}(3)}{\text{ln}(1.08)}$

$t=\frac{1.0986122886681097}{0.0769610411361283}$

$t=14.274914586$

Upon rounding to nearest tenth of year, we will get:

$t\approx 14.3$

Therefore, it will take approximately 14.3 years until the account holds $300,000.

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3 years ago

ASAP I need with this question

il63 [147K]

Answer:

the answere is 3.6

Step-by-step explanation: it would be the third one

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4 years ago

3. Wanda bought a share in Tasty Ice Cream for $25 on March 1. On June 13, Tasty Ice Cream's shares were trading

Gnesinka [82]

Answer:

D) Wanda will receive $23.50 for her share, meaning she lost $1.50 on the investment.

Step-by-step explanation:

Identify what you know:

1) Wanda bought a single share in Tasty Ice Cream for $25.00 on March 1st.

2) Tasty Ice Cream's stock price dropped to $23.50 (-1.50).

When investing in the stock market, you are always attempting to make a profit. So, you buy a stock when it's "low," and buy it when the prices go up. In reality, Wanda shouldn't sell her share yet, because she will lose $1.50. However, there is nothing stopping her, if she wanted to. Since the share is worth $23.50, Wanda will make $23.50 if she sells her share on June 13th.

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3 years ago

Which steps could be used to solve this story problem? Caren had 20 oranges and 25 apples. She shared the fruit equally among 5

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Your answer is C. Hope this helps

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3 years ago

Find the breadth of the rectangle whose<br>perimeter is 360 cm & whose length is<br>100 cm.

Ghella [55]

Answer:

Step-by-step explanation:

perimeter P= 2L+2W

360=2(L+W) divide by 2

180=L+W

we know the L=100

180=100+W

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3 years ago