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krok68 [10]
3 years ago
14

The first three terms of an arithmetic sequence are x-1, 3x-2 and 5x-3. Which of the following expressions represents the 15th t

erm in the arithmetic sequence
Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0

Answer:

29x-15

Step-by-step explanation:

fifteenth term=x-1+14(2x-1)

=x-1+28x-14

=29x-15

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a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long
QveST [7]

Answer:

10.1 years.

Step-by-step explanation:

It is given that,

Principal = 9000

Rate of interest = 5%

No. of times interest compounded = 2 times in an year

Amount after certain time = 14800

The formula for amount:

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

where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.

Substitute the given values in the above formula.

14800=9000(1+\frac{0.05}{2})^{2t}

\frac{14800}{9000}=(1+0.025)^{2t}

1.644=(1.025)^{2t}

Taking log both sides.

\log(1.644)=\log(1.025)^{2t}

\log(1.644)=2t\log(1.025)    [\because \log a^b=b\log a]

\frac{\log(1.644)}{2\log(1.025)}=t

t=10.066

t=10.1

Therefore, the required time is 10.1 years.

3 0
3 years ago
PLEASE HURRY! What is the rate of change of the function? -2 - 1/2 1/2 2<br> Thank you.
svetlana [45]

Answer: -2

Step-by-step explanation: The line has a slope of -2/1, which is just -2.

6 0
3 years ago
Read 2 more answers
If melba rode her bike 7/8 miles in 1/4hour. what is the unit rate in miles per hour
kari74 [83]
3.5 miles per hour. 7/8 (.875) divided by 1/4 (.25)  equals 3.5. Hope this helps!
4 0
3 years ago
Brainliest to correct !!!
dalvyx [7]

I’m not sure if I am correct ,

Informally, each hour of overtime is like 2.5 hours of regular time, so 8 hours of overtime is like 8*2.5 = 20 hours of regular time.

So her $1470 earnings are for 40+20 = 60 hours of work.

Her regular hourly wage is 1470$/60=24.5 dollars

40(x)+8(2.5x)=1470
40x+20x=1470
60x=1470
X=1470/60
X=24.5 dollars

Answer =24.5$
4 0
3 years ago
The population of Boomtown is currently 2000 and expected to grow by 3% over the next year. What will its population be by then?
Sliva [168]
2000
2000 + (2000 \times .03) = 2060
6 0
3 years ago
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