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Troyanec [42]
3 years ago
13

You want to buy a $230,000 home. You plan to pay 20% as a down payment, and take out a 30 year fixed loan for the rest. Round al

l answers to the nearest cent as needed.
Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0

Amount of down payment = $46000

Mortgage needs = $184000

<u>Solution:</u>

From the given,

Cost of the house = \$230000

Percentage of down payment = 20\%

Number of years of fixed loan = 30

\text { Total down payment }=\text { cost of the house } \times \text { Percentage of down payment }

\Rightarrow \frac{230000 \$\times 20}{100} \rightarrow 46000 \$

\text {Mortgage needs}=\text { Total cost - Total down payment }

\Rightarrow 230000 \$-46000 \$=184000 \$

It can be concluded that the total down payment for the house and mortgage needs would be \$46000 \text{ and } \$184000

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There are (n r) different linear arrangements of n balls of which r are black and n-r are white. give a combinatorial explanatio
Vanyuwa [196]

Answer:

\frac{n!}{r!(n-r)!}

Step-by-step explanation:

Combinatorial explanation:

The n balls have to be arranged in n positions and the only distinction is where are the black and where white balls are.

We can choose the position of black balls in \binom{n}{r} ways, therefore, white ones are on the remaining positions.

Using binomial we can have explanation written below:

The balls can be arranged in n! possible permutations.

To be precise one particular arrangement includes r!(n-r)! permutations. Since r black balls can be permuted in r! ways and white balls in (n-r)! different orders.

So basically it yields,

r! \times (n-r)! permutations.

So the actual amount is,

\frac{r!}{(n-r)!}= \binom{n}{r}=\binom{n}{n-r}

6 0
4 years ago
Alexander is a stockbroker. He earns 14% commission each week. Last​ week, he sold ​$5,400 worth of stocks. How much did he make
Vlada [557]

Answer:

In that one week, his commision was $896, over all 52 weeks, he made $46592

Step-by-step explanation:

So, he makes 14% commision on any stock he sells. This week, he sold $6,400 worth of stocks, and, hes going to make 14% on it. So, take 6400 and divide that by 14%, and what do you get? $896! So, he made $896 that week. Now, say he made that amount EVERY WEEK. so, all you have to do is know how many weeks are in a year (52) and multiply that by 896, which gives you 46592.

5 0
3 years ago
Multiply (3a + 5)2<br>A9a2 + 30a + 25<br>B 25a2 + 15a + 9<br>C a2 + 3a + 25<br>D 5a2 + 15a + 9​
oksano4ka [1.4K]

Answer:

9 a^2 + 30 a + 25 the anwser is A

Step-by-step explanation:

Expand the following:

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Answer: 9 a^2 + 30 a + 25

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