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natta225 [31]
3 years ago
8

-7x + 2y = -5 y = -7x + 8 explain how please

Mathematics
1 answer:
Fiesta28 [93]3 years ago
7 0

Answer:

x = 1 and y =1

Step-by-step explanation:

y = -7x + 8

sub into other eq

-7x + 2(-7x + 8) = -5

-7x - 14x + 16 = -5

-21x = -21

x - 1

y = -7(1) + 8

y = 1

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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.

7 0
3 years ago
What is the answer to this
klio [65]

Answer:

yes, the centroid is where the medians meet

<em>hope this helps!</em>

<em>have a great day :)</em>

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3 years ago
A furniture store pays a wholesale price for a mattress. Then, the store marks up the retail price to 150% of the wholesale pric
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Part A:

Given that <span>the mattress is sold for 50% off of the retail price, let the retail price of the mattress be x, then

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Therefore, </span><span>the retail price of the mattress, before the discount is $2,400.



Part B:

Given that </span><span>the store marks up the retail price to 150% of the wholesale price. Let the whole sale price be p, then

(100% + 150%) of p = 2400
250% of p = 2400
2.5p = 2400
p = 2400 / 2.5 = 960.

Therefore, </span><span>the wholesale price, before the markup was $960</span>
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