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Sever21 [200]
3 years ago
13

What is the value of x when the Richter scale rating is 7.9 round your answer to the nearest

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
4 0
If no base is stated, then assume base 10
log(x)=log_{10}(x)
rememer
a=log_b(c) translates to b^a=c


so
r=log(x) or
r=log_{10}(x) translates to 10^r=x

so when r=7.9, what is x
10^r=x
10^{7.9}=x
79432823.472428=x
round to nearest ???
thousanth? 79432823.472=x
hundreth? 79432823.47=x
tenth? 79432823.5=x
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4. For graduation, Diamond was able to buy her first car for $24,000. Her parents gave her a present and made a
s344n2d4d5 [400]

Answer:

$403.15

Step-by-step explanation:

Principal loan amount is the total amount minus down-payment:

Principal=24000-1000\\\\=23000

Knowing that n=12\times 6=72,P=23000, r=7.99\%/12=0.006658, the monthly payments can be calculated using the formula:

M=P[\frac{r(1+r)^n}{(1+r)^n-1}]\\\\=23000\frac{(0.006658(1.006658)^{72}}{1.006658^{72}-1}\\\\=403.15

Hence, the monthly payment is $403.15

3 0
3 years ago
Last month he sold 50 chickens and 30 duck fir $550. This month he sold 44 chickens and 36 ducks for $532
natali 33 [55]
Chicken - $8
Duck - $5

Work:
50c+30d=550
44c+36d=532
8 0
3 years ago
Anderson Systems is considering a project that has the following cash flow and WACC data. What is the project's NPV? Note that i
AURORKA [14]

Answer:

$265.65

Step-by-step explanation:

Given :

WACC: 9.00%

Year 0 1 2 3 Cash flows (-$1,000) $500 $500 $500

The NPV is calculated thus :

Initial cashflow + Σ additional cash flows / (1 + r)

Rate, r = 9% = 0.09

(1 + r) = (1 + 0.09) = 1.09

NPV = - 1000 + (500 / (1.09)¹ + (500 / 1.09)² + (500 / (1.09)³

NPV = - 1000 + 458.71559 + 420.83999 + 386.09174

NPV = 265.64732

NPV = 265.65 (2 DECIMAL PLACES)

5 0
3 years ago
How does 0.008 compare to 0.08
Aleonysh [2.5K]
0.008 would equal to 8/1000 while 0.08 would be 8/10. That would mean 0.008 is much smaller than 8/10. You use the idea of base 10.
8 0
3 years ago
Write 5 to the power of 8 as a quotient of two exponential terms with the same base in four different ways. use negative or zero
ryzh [129]
So, we are given 5^8. It was happy and content. But then... we had to write it as a quotient of two exponential terms with the same base in four different ways and use negative or zero exponents and ahhhhhh!!!

... anyways...

We'll build a quotient of two exponential terms with the same base 5. Something like this:

5^a / 5^b

We need them to make 5^8 when we are done. I'll first use a zero exponent.

[1] Now, zero exponents are nice since they make things equal 1. Like 5^0 = 1. Well, obviously, 5^8 / 1 = 5^8. So, our first quotient can be:

5^8 / 5^0

Done.

[2] Let's try this on its head. This one's a little weird. Remember that negative exponents flip things upside down. So 5^-8 = 1/5^8    and   1/5^-8 = 5^8 for example. In fact... that's the answer!

5^0 / 5^-8 = 5^8

Done.

[3] Let's try to not use 0s or 8s. We can be clever and do something like this:

5^-1 / 5^-9

What the heck is that? Well, we just flip them and get:

5^-1 / 5^-9 = 5^9 / 5^1 = 5^8

Done.

[4] Can you come up with one last trick on your own? Try it!
3 0
3 years ago
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