I need the complete answer to this problem, please circle the final answer and what I should write

Mathematics

1 answer:

goblinko [34]3 years ago

5 0

Answer:

$f(t) = 8400(1.0018)^{12t}$

2.22%

Step-by-step explanation:

$8400 is invested in an account earning 2.2% interest (APR), compounded monthly.

So, the value of the account after t years will be given by

$f(t) = 8400 (1 + \frac{2.2}{12 \times 100} )^{12t} = 8400(1.0018)^{12t}$ {Rounded to the four decimal places} (Answer)

Now, for t = 1 year, f(1) = $8586.67

So, the percentage of growth per year (APY) = $\frac{(8586.67 - 8400) \times 100}{8400} = 2.22$ % {Rounded to the nearest hundredth of percent} (Answer)

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Pls help me i just need help

Ray Of Light [21]

Step-by-step explanation:

the total cost is, of course, first the cost to buy the copier, and then the running costs per copy made.

it is really that easy.

the equations just put this into mathematical form :

y = 0.02×x + 800

y = 0.06×x + 600

please notice, we put $600 or $800 in as constant term, because these costs are the starting costs that we have, even if we never make a single copy (x = 0).

and then the total cost goes up with every copy we make.

I cannot draw here.

so, to find the number of copies where both copier systems would cost the same, means we have to say both equating deliver the same result :

0.02×x + 800 = 0.06×x + 600

200 = 0.04×x

x = 200 / 0.04 = 5000

when making 5000 copies both costs are the same.

4 0

2 years ago

Lines L and M are parallel. Lines t^1 and t^2 are transversals. What is m<1 if m<4=65*? Justify your answer. (Ps- there is

Diano4ka-milaya [45]

The complete question in the attached figure

we know that
m∡4=65°
m∡4=m∡2---------> by internal alternate angles
m∡5=m∡3---------> by internal alternate angles

m∡1=180°-m∡2---------> 180°-65°--------> m∡1=115°

the answer is
m∡1=115°