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Effectus [21]
4 years ago
6

I have trouble finding the nth term of a linear sequence

Mathematics
1 answer:
qaws [65]4 years ago
4 0

Linear Sequences - increases or decrease by the same amount each time


2(n) : 2(1),2(2),2(3),2(4)

2n:2,4,6,8

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Jo and Pete have collected some aluminum cans to be recycled. Pete has 47 pounds of cans and Jo has 52 pounds. They can get $0.2
Ksenya-84 [330]

Answer:

Step-by-step explanation:

Total weight of aluminum cans that Pete collected for recycling is 47 pounds.

Total weight of aluminum cans that Jo collected for recycling is 52 pounds.

They can get $0.21 per pound for the cans. Therefore,

The total amount that Pete will get for collecting 47 pounds of aluminum would be

0.21 × 47 = $9.87

The total amount that Jo will get for collecting 52 pounds of aluminum would be

0.21 × 52 = $10.92

The total amount of money that they would get is

9.87 + 10.92 = $20.79

3 0
3 years ago
If f = {(2,5), (3, 2) (4, 6), (5, 1), (2, 2)), then f is a function.
KiRa [710]

Answer:

false

Step-by-step explanation:

f is not a function because you can see that two of the points are (2,5) and (2,2). A function can only have one corresponding y-coordinate for every x-coordinate and since this is not the case here, f is not a function.

8 0
3 years ago
A club has 15 members and needs to choose 2 members to be co-presidents. In how many ways can the club choose its co-presidents?
PilotLPTM [1.2K]

Answer:

15 choose 2 = 105

=\frac{15!}{2!\left(15-2\right)!}

Step-by-step explanation:

4 0
3 years ago
11. Mr Lee bought a second hand car for
Marrrta [24]

Answer :

Depends on the rate compound interest is accrued. See answers.

Step-by-step explanation:

We need the compound interest formula which is:

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

A =  final amount

P =  initial principal balance

r =  interest rate

n =  number of times interest applied per time period

t =  number of time periods elapsed

It doesn't say how frequently the interest is compounded, so we will do monthly, quarterly, and yearly.

MONTHLY

So we know the car costs $25,480 and he made a down payment of $10,000. By subtracting the down payment from the purchase price we find the loan amount.

$25,480 - $10,000 = $15,480

P = 15,480

r = 4.75% = .0475

n = 12  (12 months in a year)

t = 2  

Plug everything into the compound interest formula.

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

A = 15480(1+\frac{.0475}{12})^{12*2}

A = 15480(1+\frac{.0475}{12})^{24}

A = 15480(1+.00396)^{24}

A = 15480(1.00396)^{24}

A = 15480*1.0992

A = $17016.14

Mr. Lee paid $17,016.14 when the bill came due at 2 years with interest compounded monthly.

QUARTERLY

P = 15,480

r = 4.75% = .0475

n = 4  (4 quarters in a year)

t = 2  

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

A = 15480(1+\frac{.0475}{4})^{4*2}

A = 15480(1+\frac{.0475}{4})^{8}

A = 15480(1+.0119})^{8}

A = 15480(1.0119)^{8}

A = 15480*1.099

A = 15480(1.099)

A = 17013.20

Mr. Lee paid $17,013.20 when the bill came due at 2 years with interest compounded quarterly.

YEARLY

P = 15,480

r = 4.75% = .0475

n = 1  

t = 2  

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

A = 15480(1+\frac{.0475}{1})^{1*2}

A = 15480(1+\frac{.0475}{12})^{2}

A = 15480(1+.0475})^{2}

A = 15480(1.0475)^{2}

A = 15480*1.0973

A = 16985.53

Mr. Lee paid $16,985.53  when the bill came due at 2 years with interest compounded yearly.

4 0
4 years ago
What is the area of a 5 ft diameter
Contact [7]
Area of a circle:

A = πr² = πd²/4

Answer:

r = 2.5 ft
C = 15.707963267949 ft
A = 19.634954084936 ft<span>2</span>
6 0
3 years ago
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