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kherson [118]
3 years ago
12

If the third term in a geometric sequence is 20, and the fifth term in the sequence is 5, what is the ratio (multiplier)?

Mathematics
1 answer:
Talja [164]3 years ago
5 0
Term:    3     4      5
 Value  20    ..      5
            20  20r  20r^2
So 20r^2 = 5
         r^2 = 1/4
           r  =  1/2
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Manuel borrowed $1,500 from his bank and signed a
Mice21 [21]

Answer:

The total interest to pay back on the loan is $122.40

Step-by-step explanation:

Here. we want to get the amount of interest on the loan

We are going to use the compound interest formula here

A = P(1 + r/n)^nt

where A is the amount to be paid back

P is the amount borrowed called the principal which is $1,500

r is the interest rate which is 4% annually

This is same as 4/100 = 0.04

n is the number of times the interest will be compounded per year ; annually means yearly and so for this case, n = 1

t is the number of years = 2

So we have;

A = 1500(1 + 0.04/1)^(2)(1)

A = 1500(1.04)^(2)

A =$ 1,622.40

So the amount of interest is the difference between the amount borrowed and the value to pay back

That will be;

$1,622.40 - $1,500

= $122.40

3 0
2 years ago
Hamish and Harry work as plumbers. Harry earns a dollar more than the amount Hamish earns per hour. The amount Harry earns per h
natulia [17]

Answer:

Hamish and Harry work as plumbers. Harry earns a dollar an hour more than 5/4 the amount hamish earns per hour. harry earns per hour is 2$ less than 7/5 the amount hamish earns per hour. how much do each of them make an hour

Step-by-step explanation:

Let

x is the  amount Harry earns 

y is the amount Hamish earns 

x=(5/4)y+1 ⇒ (x-1)*4/5 = y-------- equation 1

x=(7/5)y-2⇒ (x+2)*5/7 = y-------- equation 2

equals 1 and 2

(x-1)*4/5 = (x+2)*5/7

(4x-4)/5 = (5x+10)/7

(4x-4)*7 = (5x+10)*5

28x-28 = 25x+50

28x-25x = 50+28

3x = 78

x = 26

substitute x = 26 for y=(x-1)*4/5

y = (x-1)*4/5

y =  (26-1)*4/5

y = 20

the answer is

<h3>Harry earns $26 an hour</h3><h3>Hamish earns  $20 an hour</h3>
7 0
3 years ago
Read 2 more answers
May anyone help please
lapo4ka [179]

Depending on how flexibly you interpret "about 20 times larger" to mean, the answers are B and D.

Check the ratios of the larger number to the smaller number:

A: (2.01 x 10^7)/(4.25 x 10^6) = 2.01/4.25 x 10^1 = 20.1/4.25 = 4.729

B: (8.21 x 10^-3)/(4.13 x 10^-4) = 8.21/4.13 x 10^1 = 82.1/4.13 = 19.879

C: (4.91 x 10^6)/(5.09 x 10^3) = 4.91/5.09 x 10^3 = 4910/5.09 = 964.637

D: (5.97 x 10^4)/(3.12 x 10^3) = 5.97/3.12 x 10^1 = 59.7/3.12 = 19.135

4 0
3 years ago
Help please, I really need to get this test passed
ad-work [718]

Answer:

the secound ansewr

Step-by-step explanation:ik

3 0
3 years ago
Can someone slove this please
Morgarella [4.7K]
Hope this helps u.!!!

8 0
3 years ago
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