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lubasha [3.4K]
1 year ago
12

Connor borrows $8,000 at a rate of 19% interest per year. What is the amount due at the end of 7 years if the interest is compou

nded continuously?
Mathematics
2 answers:
goldenfox [79]1 year ago
5 0
19 * 7 = 133 * 8,000 = $1,064,000
luda_lava [24]1 year ago
4 0
0.19 * 7 = 1.33 * 8,00 = 10,640
You might be interested in
4) Sophie checks her bike for repairs every 9 days and Susan check hers every 12 days.
musickatia [10]

Answer:

20

Step-by-step explanation:

12+9=20

6 0
2 years 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
2 years ago
Fernando evaluated the expression below. StartFraction 5 (9 minus 5) over 2 EndFraction + (negative 2) (negative 5) + (negative
Rzqust [24]

Answer:

Fernando incorrectly found the product of –2 and –5.

Step-by-step explanation:

Fernando evaluated the numerator of the fraction incorrectly.

Fernando simplified StartFraction 20 over 2 EndFraction incorrectly.

Fernando incorrectly found the product of –2 and –5.

Fernando evaluated (negative 3) squared incorrectly.

Fernando's calculation

5(9-5) / 2 + (-2)(-5) + (-3)^2

= 5(4) / 2 - 10 + 9

= 20/2 - 10 + 9

= 10 - 10 + 9

= 9

Correct calculation

5(9-5) / 2 + (-2)(-5) + (-3)^2

= 5(4) / 2 + (10) + 9

= 20/2 + 10 + 9

= 10 + 10 + 9

= 29

Therefore,

Fernando's error was multiplying (-2)(-5) to be equal to -10 instead of 10

Fernando incorrectly found the product of –2 and –5.

5 0
2 years ago
Read 2 more answers
A population of 550 rabbits is increasing by 7.5% each year. in about how many years will the population be over 1000?
Furkat [3]

I believe this would take the form of an exponential equation:

A = Ao (1 + r)^t

where A is final population, Ao is initial population, r is rate of growth and t is time

 

A / Ao = (1 + r)^t

log A / Ao = t log (1 + r)

t = (log A / Ao) / log (1 + r)

t = [log (1000 / 550)] / log (1.075)

t = 8.27 years

 

SO the answer is B) about 9 years

5 0
1 year ago
5{-3.4k-7} + {3k+21}
nekit [7.7K]
First step is to do distributive property.
 
so you multiply 5 by -3.4k and -7 

your equation now is -17k-35+(3k+21)
 
Then you add like terms 

add -17k+3k to give you -14k-35+21 
 
then you add like terms again

add -35+21 to give you -14

so now your equation is -14k-14 

So that is your answer simplified 
6 0
2 years ago
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