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myrzilka [38]
3 years ago
12

18) Find the interest earned on an account with $498 invested at 8.5%

Mathematics
1 answer:
erastovalidia [21]3 years ago
6 0
I think it would be B
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<img src="https://tex.z-dn.net/?f=if%20%5C%3A%20%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%5E%7B6%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B16%7
zhenek [66]

Answer:

2

Step-by-step explanation:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}

\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}

3^{-4} \cdot 4^{4}=4^{x+2}3^{-(x+2)}

This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

4 0
3 years ago
What is the value of |−32|?<br><br> Numerical answer expected
Sever21 [200]

32

The absolute value takes the distance from zero, it doesn’t matter weather it is positive or negatively

4 0
3 years ago
Read 2 more answers
Answers need help!!!!!!
Gala2k [10]
<h3>Step-by-step explanation:</h3>

<u>Pythagorus theorum:</u>

9² = 3² + YZ²

81 - 9 = YZ²

√72 = YZ

∴YZ= 8.48 ≈ 8.5

<u>Trigonometry:</u>

We have adjacent as 3, and hypotenuse as 9

cos X = 3/9

X= cos∧-1 (3/9) → <em>[cos inversed]</em>

∴X= 70.5°

We have opposite as 3 and hypotenuse as 9

sin Z= 3/9

Z= sin∧-1 (3/9)→<em> [sin inversed]</em>

∴Z= 19.47 ≈ 19.5

4 0
3 years ago
Myq-eimh-otm<br><br> a.l.l<br> a.l.o.u.l.d
Orlov [11]
Yesssssssssssssssssssssssssss
7 0
3 years ago
sharmar spent at least 30 minutes playing his guitar on saturday he spent 10 minutes longer playing his guitar on saturday than
Nataly_w [17]
20 minutes
Because-


If he did ten more minutes then friday just do 30 - 10 whih 20 mins
4 0
2 years ago
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