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adell [148]
3 years ago
5

Write as an expression " 6 times smaller than 42"​

Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

Answer:

42/6 or 7

Step-by-step explanation:

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Find the solution of the given initial value problem. ty' + 6y = t2 − t + 1, y(1) = 1 6 , t > 0
gtnhenbr [62]

Answer:

Step-by-step explanation:

Given is a differential equation as

ty' + 6y = t^2 - t + 1, y(1) = 1 6 , t > 0

Divide this by t to get in linear form

y'+6y/t = t-1+1/t

This is of the form

y' +p(t) y = Q(t)

where p(t) = 1/te^(\int 1/tdt) = t

So solution would be

yt = \int t^2-t+1 dt\\= t^3/3-t^2/2+t+C

siubstitute y(1) = 16

16 = 16^3/3-128+1+C\\C = -1206

4 0
3 years ago
Peter borrowed a sum of R12 850.00 at the beginning of a year with a certain simple interest rate. After 14 quarters, in a diffe
ladessa [460]

The original annual simple interest rate, rounded to two decimal places, is 3.79%

What is the formula for simple interest?

The simple interest on a loan or deposit is determined as the principal multiplied by the simple interest rate and time

I=PRT

The first loan:

P=12 850.00

R=r(assume it is r)

T=4 years

I=12 850.00*r*4

I=51400r

The second loan was taken after 14 quarters the first was taken out, which is the same as after 3.5 years, hence, the interest on the second loan is only for a half a year

P=3 273.00

R=0.5r( half of the interest on the first loan)

T=0.5 years

I=3 273.00*0.5r*0.5

I= 818.25r

Total interest=51400r+818.25r

Total interest=52218.25r

total interest paid=1 980.00

1 980.00=52218.25r

r=1 980.00/52218.25

r=3.79%

Find out more about simple interest on: brainly.com/question/1115815

#SPJ1

5 0
2 years ago
Jace's average gross pay is $1,630.00 bi-weekly. Determine how many years it will take Jace to earn his first million dollars.
vesna_86 [32]

The number of years it will take to earn his first million is 24 years

Average bi-weekly gross pay = $1,630

Bi-weekly = 2 weeks

Number of 2 weeks(bi-weeks) in a year = 26 bi-weeks

The least million he can earn is $1,000,000

Let the number of years = n

We could use the equation :

Least million = gross pay × (Number of bi-weeks × number of years)

1000000 = 1630 × (26n)

1000000 = 42380

Divide both sides by 34230

1000000 / 42380 = n

n = 23.59

The least number of years is 24.

Learn more : brainly.com/question/18796573

6 0
3 years ago
The values of a, b and c for the equation 8x2 - 2x = 1 are:
meriva

Answer:

The values are B

a= 8,b = -2 c= -1

7 0
3 years ago
A blue whale has a length of 28578 mm. What is the length of a blue whale in km? Show work.
vitfil [10]

move the decimal to the left 6 times and you'll get .028578

7 0
3 years ago
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