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OleMash [197]
3 years ago
10

PLEASE HELP BEEN STUCK FOR 20 MINS NOW!! i am struggling

Mathematics
1 answer:
topjm [15]3 years ago
8 0
Circle = 360°

sector C = 0.35 · 360° = 126°
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What is the exact time t, in years, needed for the balance of an account that earns 5% annual 8. Interest compounded continuousl
Brums [2.3K]

Answer:

It takes 22.52 years for the balance to triple in value.

Step-by-step explanation:

Continuous compounding:

The amount of money earned using continuous compounding is given by the following equation:

A(t) = A(0)(1+r)^t

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

Interest rate of 5%.

This means that r = 0.05, and thus:

A(t) = A(0)(1+r)^t

A(t) = A(0)(1+0.05)^t

A(t) = A(0)(1.05)^t

Time for the balance to triple?

This is t for which A(t) = 3A(0). So

A(t) = A(0)(1.05)^t

3A(0) = A(0)(1.05)^t

(1.05)^t = 3

\log{(1.05)^t} = \log{3}

t\log{1.05} = \log{3}

t = \frac{\log{3}}{\log{1.05}}

t =  22.52

It takes 22.52 years for the balance to triple in value.

3 0
3 years ago
Find the number of letters from the word MAXIMUM where two consonants cannot occur. (Permutation)​
Hunter-Best [27]

Answer:

4!

Step-by-step explanation:

In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.

So, we have to put vowels at each even position; only then the condition will be satisfied.

We can put this in 3! ways (permutations of A, I & U).  

For odd positions we can put 3-M's & a X. Total ways is 4!/3!   (as repetitions of M).

Hence, the answer is 4!/3! x 3! = 24 ways.  

24=4!.

5 0
3 years ago
20 POINTS!!!!!
Rom4ik [11]

Answer:

5/the number of socks he has

8 0
3 years ago
PLEASE HELP!! WILL GIVE BRAINLIEST IF UR RIGHT!!
Cerrena [4.2K]
<span>ratio of the surface area of the sphere to the surface area of the cube
=
</span>4nr^2 / <span>24r^2 = n/6

answer

</span><span>A.
n/6</span>
3 0
3 years ago
A swimming pool had 2.5 liters of water in it. Some water evaporated, and then the pool only had 2 million liters of water in it
djyliett [7]
Hi!

If I have done this correctly, then the answer is:

2 million is 80% of 2.5

That means that 20% of the water evaported.
5 0
3 years ago
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