The parabola y=<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="absmiddle" class

You take out a student loan for $80,000 with 2.75% annual interest to pay for your first year of college. This loan will cover a

yKpoI14uk [10]

Exponential growth equation would be

Amount= 80,000 (1+2.75/100) ⁴

At the end of 4 years I would have to repay an amount of $ 89,169.70

Step-by-step explanation:

Since, the amount is loaned it would vary exponentially i.e. in a compounding manner.

We know that for compound interest, the equation is written as-

Amount= principal(1+r/100) ˣ

Where r- rate of interest which is 2.75% annually

And x= time period= 4 years as in the question

Principal= $ 80,000

Therefore, Equation becomes-

Amount= 80,000(1+2.75/100) ⁴

On solving this Amount would equal $ 89,169.70

Hence, at the end of 4 years I would have to repay an amount of $ 89,169.70.

6 0

3 years ago

If 8 x 3 = 24 what does 24/3 equal

zimovet [89]

Answer:

Very easy! It is equal to 8.

8 0

2 years ago

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Fifteen telephones have just been received at an authorized service center. Five of these telephones are cellular, five are cord

viktelen [127]

Answer:

a) The probability of getting all (ﬁve) cordless phones among the ﬁrst 10 is 0.0839.

b) The probability of having exactly two types in the last five is 0.24975.

c) To pick a sample of size 6 which contains two of each type of phone. The probability of selecting 2 phones from each type is 0.199800.

Step-by-step explanation:

a) The ﬁrst ten serviced (without regard to order within the ﬁrst ten) constitute a random sample without replacement of size 10 from 15 phones.

So, such samples are: (Using Combination "C")

(15C10) $=3003\\$

We now regard the phones as of just two types: cordless or not-cordless. The not-cordless phones are the cellular and regular phones, and there are 10 such phones.

So, The number of ways to pick 5 cordless and 5 non-cordless is

(5C5) $*\\$ (10C5) $=252$

Thus the probability of getting all (ﬁve) cordless phones among the ﬁrst 10 is

$\frac{252}{3003} =0.0839$

b) Regard the last 5 phones (without regard to order within the last 5) as a sample with replacement from the 15 phones.There are (15C5) such samples.

Thus

There are (3C2)= 3 ways to choose the two types. For each such choice there are (10C5)= 252 possible ways to get a sample of size 5 from only these two types of phones.

also as the 2 of these samples contain all phones of same type so,

252-2 = 250

250 ways are to pick from these two types, having both type restricted.

then the probability will be

$\frac{3*(250)}{15C5} =0.249756$

c) We want to the ﬁnd the probability that two phones of each type are among the ﬁrst six serviced. The ﬁrst six serviced can be regarded, when ignoring the order among the ﬁrst 6, as an unordered sample of size 6 from 15 objects. so, there are (15C6) samples.

And there are $(15C2)^3$ ways to pick from each 3 types of phones.

Thus the probability of selecting such a sample is

$\frac{(15C2)^2}{(15C6)}=0.199800$

7 0

2 years ago

A farmer has 100 gallons of 70% pure disinfectant. He wishes to mix it with disinfectant which is 90% pure in order to obtain 75

quester [9]

33.33 Gallons.

Hope this helps! :D

5 0

2 years ago

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What's the answer? Plz explain.

STALIN [3.7K]

To find the solutions to the system, we need to find exactly when one expression is equal to the other. We can do this by setting both of the right sides equal to each other, so that

$(x-5)(x+6)=x+6$

Subtracting x+6 from either side, we find

$(x-5)(x+6)-(x+6)=0$

factoring out an x+6:

$(x+6)(x-5-1)=(x+6)(x-6)=0$

$x=\pm6$

The x-coordinates of our solutions will therefore be 6 and -6. Since the question only asks for the <em>x-coordinate</em> of the midpoint, we simply need to find the number exactly halfway between 6 and -6, which is 0.

7 0

2 years ago

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