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3 years ago

The explicit rule for a sequence and one of the specific terms is given. Find the position of the given

Mathematics

1 answer:

AlekseyPX3 years ago

7 0

Answer:

14th term

Step-by-step explanation:

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Help please I need the right answer

Nataly [62]

96000000 times bigger. in scientific notation 9.6×10 to the 7th power

5 0

3 years ago

A carpenter has 16 1/2 m of wood. He cuts the wood into pieces that are each 2 3/4 m long.

mario62 [17]

So your question is how pieces are there?? If it is:
Its 2 pieces plus a 0.36m leftover

6 0

3 years ago

Choose the correct graph of the function y= -8(2^x)

andriy [413]

Answer:

The graph should have a y-intercept of -8

Step-by-step explanation:

It seems like your question is incomplete, i can't see any options of graphs.

3 0

3 years ago

For the following amount at the given interest rate compounded continuously, find (a) the future value after 9 years, (b) the

Stella [2.4K]

Answer:

(a) The future value after 9 years is $7142.49.

(b) The effective rate is $r_E=4.759 \:{\%}$ .

(c) The time to reach $13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of $P$ dollars is invested at a rate of interest $r$ compounded continuously for $t$ years, the compound amount is

$A=Pe^{rt}$

(a) From the information given

$P=4700$

$r=4.65\%=\frac{4.65}{100} =0.0465$

$t=9 \:years$

Applying the above formula we get that

$A=4700e^{0.0465\cdot 9}\\A=7142.49$

The future value after 9 years is $7142.49.

(b) The effective rate is given by

$r_E=e^r-1$

Therefore,

$r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}$

(c) To find the time to reach $13,000, we must solve the equation

$13000=4700e^{0.0465\cdot t}$

$4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88$

3 0

2 years ago

Find the value of x in the given<br> right triangle.<br> 10<br> х

ki77a [65]

Answer:

44.4

Step-by-step explanation:

Since we have a right triangle, we can use trig functions

sin theta = opp / hyp

sin x = 7/10

Taking the inverse sin of each side

sin^-1 (sin x) = sin^-1(7/10)

x = 44.427

Rounding to the nearest tenth

x = 44.4

4 0

2 years ago