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3 years ago

7

Yesterday, 180 visitors at a national park hiked up to a waterfall, and 270 visitors did not hike up to a waterfall. What percen

tage of the visitors did NOT hike up to a waterfall?

1 answer:

Akimi4 [234]3 years ago

6 0

60%
explanation:
you add 180+270 then look up 270/450 as a percent and bam you get 60 :>

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The answer to this is 3 3/4

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A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha

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Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

$\frac{dB}{dt} = rB-k$

$\Rightarrow \frac{dB}{dt} - rB=-k$ .......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor $=e^{\int p(t) dt$

$=e^{\int (-r)dt$

$=e^{-rt}$

Multiplying the integrating factor the both sides of equation (1)

$e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}$

$\Rightarrow e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt$

Integrating both sides

$\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt$

$\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C$ [ where C arbitrary constant]

$\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}$

Initial condition B=7864 when t =0

$\therefore 7864= \frac{k}{r} - Ce^0$

$\Rightarrow C= \frac{k}{r} -7864$

Then the general solution is

$B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}$

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

$B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}$

$\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0$

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Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

=$1573.17

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3 years ago

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It is upside down, can't see it properly!

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3 years ago

The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years a. Write an exponen

Alex Ar [27]

For the answer to the question above,
<span>V(n) = a * b^n, where V(n) shows the value of boat after n years.
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n = 0
V(0) = a * b^0 = 3500
a = 3500

V(2) = a * b^2
2000 = 3500 * b^2
b = sqrt (2000/3500)
b ≈ 0.76

V(n) = 3500 * 0.76^n

We can check it for n = 1 which is close to 2500 in the graph:
V(1) = 3500 * (0.76)^1
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And in the graph we have V(3) ≈ 1500,
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3 years ago

Read 2 more answers

On Melissa's 6th birthday, she gets a $2000 CD that earns 7% interest compounded quarterly. If the CD matures on her 13th birthd

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Answer:

$A\simeq3250.83$

Step-by-step explanation:

The amount formula in compound interest is:

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

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $2000

$r = 7\% = \frac{7\%}{100\%}=0.07$

t = 7 (number of years from 6th to 13th bday)

n = 4 (quarterly in a year)

Then,

$A=2000(1+\frac{0.07}{4} )^{(4)(7)}\\\\A=2000(1+\frac{0.07}{4} )^{28}\\\\A=3250.825792\\\\A\simeq3250.83$

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