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Goryan [66]
1 year ago
12

What is the value of n if 5.69× 10n = 5690000

Mathematics
1 answer:
emmasim [6.3K]1 year ago
3 0

Answer:

100000

Step-by-step explanation:

Let's solve your equation step-by-step.

(5.69)(10)n=5690000

Step 1: Simplify both sides of the equation.

56.9n=5690000

Step 2: Divide both sides by 56.9.

56.9n /56.9

=

5690000 /56.9

n=100000

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Lou started his savings account with 50$ he now only has 31$. What percent of change did his savings account have?
vladimir1956 [14]

Answer:

Step-by-step explanation:

50 - 31 = 19

38%

4 0
1 year ago
Frank invests $1,000 in simple interest investment account that pays 8% a year. After a number of years, he withdraws his balanc
ASHA 777 [7]
For the answer to the question above asking <span>how many years was his money invested? The for the answer above is simple, it is I = Prt
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the answer is 15 years.
I hope my answer helped you. Have a nice day!

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7 0
1 year ago
Read 2 more answers
If h(x) = 6 – x, what is the value of (h circle h) (10)?
Marta_Voda [28]

Answer:

10

Step-by-step explanation:

hoh(x) = h(h(x)) = 6 - h(x) = 6 - (6-x) = 6 - 6 + x = x

then

hoh(x) = x

then

hoh(10) = 10

5 0
1 year ago
World wind energy generating1 capacity, W , was 371 gigawatts by the end of 2014 and has been increasing at a continuous rate of
Sunny_sXe [5.5K]

Answer:

a) W(t) = 371(1.168)^{t}

b) Wind capacity will pass 600 gigawatts during the year 2018

Step-by-step explanation:

The world wind energy generating capacity can be modeled by the following function

W(t) = W(0)(1+r)^{t}

In which W(t) is the wind energy generating capacity in t years after 2014, W(0) is the capacity in 2014 and r is the growth rate, as a decimal.

371 gigawatts by the end of 2014 and has been increasing at a continuous rate of approximately 16.8%.

This means that

W(0) = 371, r = 0.168

(a) Give a formula for W , in gigawatts, as a function of time, t , in years since the end of 2014 . W= gigawatts

W(t) = W(0)(1+r)^{t}

W(t) = 371(1+0.168)^{t}

W(t) = 371(1.168)^{t}

(b) When is wind capacity predicted to pass 600 gigawatts? Wind capacity will pass 600 gigawatts during the year?

This is t years after the end of 2014, in which t found when W(t) = 600. So

W(t) = 371(1.168)^{t}

600 = 371(1.168)^{t}

(1.168)^{t} = \frac{600}{371}

(1.168)^{t} = 1.61725

We have that:

\log{a^{t}} = t\log{a}

So we apply log to both sides of the equality

\log{(1.168)^{t}} = \log{1.61725}

t\log{1.168} = 0.2088

0.0674t = 0.2088

t = \frac{0.2088}{0.0674}

t = 3.1

It will happen 3.1 years after the end of 2014, so during the year of 2018.

7 0
1 year ago
Announcements for 84 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean len
Marina86 [1]

Answer:

Step-by-step explanation:

Hello!

You need to construct a 95% CI for the population mean of the length of engineering conferences.

The variable has a normal distribution.

The information given is:

n= 84

x[bar]= 3.94

δ= 1.28

The formula for the Confidence interval is:

x[bar]±Z_{1-\alpha/2}*(δ/n)

Lower bound(Lb): 3.698

Upper bound(Ub): 4.182

Error bound: (Ub - Lb)/2 = (4.182-3.698)/2 = 0.242

I hope it helps!

6 0
2 years ago
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