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Lelechka [254]
3 years ago
12

Lilly took out an 80/20 mortgage to buy a house costing $100,000. The first

Mathematics
2 answers:
adoni [48]3 years ago
8 0

Answer:

$442.1 per month

Step-by-step explanation:

Lilly took 80/20 mortgage to buy house costing $ 100000

80% × 100000 = 80000 for the first at 4.75%

80000 × 4.75% = 80000 × 0.0475 = $ 3800 as interest per year,

20% × 100000 =  20000 for the second mortgage

20000 × 7.525% = 20000 × 0.07525 = 1505 as interest per year

add the first interest and the second interest

3800 + 1505 = 5305

divide the answer by 12 months to find the monthly payment

5305 / 12 = $442.1 per month

Zielflug [23.3K]3 years ago
8 0

Answer:

First mortgage is $417.32

Second mortgage is $140.19

Step-by-step explanation:

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Harrizon [31]
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3 0
3 years ago
Two Social Security numbers (see Exercise 8.12) match zeros if a digit of one number is zero iff the corresponding digit of the
Roman55 [17]

Answer:

Proved

Step-by-step explanation:

From the given parameters, we have:

n = 9 i.e. the length of each security numbers

r = 2 i.e. 2 security numbers

Required

In 513 security numbers, 2 must have matching zeros

To do this, we make use of Pigeonhole principle.

First, we calculate the number of all security numbers not having matching zeros.

Each of the 9 digits can be selected in 2 ways.

2 ways implies that each digit is either 0 or not

So, total selection is:

Total = 2^9

Total = 512

Apply Pigeonhole principle

The principle states that: suppose there are n items in m containers, where n>m, then there is at least one container that contains more than 1 item.

This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.

512 + 1 = 513

8 0
3 years ago
you are asked to solve for y in the equation -3=5y-2x , given that x= -4 what is the first step you will take
Genrish500 [490]
First step is replacing x with -4. => -3=5y+8 => 5y= -8-3 => y =-11/5
8 0
3 years ago
-6(-4u+4)-6u=2(u-5)-8
MrRissso [65]

Answer:

u=0.375

Step-by-step explanation:

First we can write the equation down, -6(-4u+4)-6u=2(u-5)-8. First what you want to do is distribute -6 to (4u+4) and 2 to (u-5). This would result in        24u-24-6u=2u-10-8. Next add up all like terms and you will get 18u-24=2u-18. Next you would want to add 24 on both sides so that you get 18u=2u+6 then subtract 2u from both sides to get 16u=6. You the divide 16 on both sides to get u=0.375.

6 0
4 years ago
Jacob the dog eats dry food that contains 324kcal/cup. Jacob eats 3.5 cups a day. The food contains 3.6 g of fat in 100 kcals of
PtichkaEL [24]

Answer:

His daily fat intake is 40.824g.

His daily Vitamin D intake is 290.304 IU.

Step-by-step explanation:

The first step to solve this problem is finding the daily kcal intake of the dogs.

Each cup has 324 kcal, and he eats 3.5cups a day. So:

1 cup - 324 kcals

3.5 cups - x kcals

x = 324*3.5

x = 1134 kcals.

His daily intake is of 1134 kcals.

The food contains 3.6 g of fat in 100 kcals of energy. what is his daily fat intake?

There are 3.6g of fat in 100 kcals of energy. How many g of fat are there in 1134 kcals?

3.6g - 100 kcals

xg - 1134 kcal

100x = 1134*3.6

x = \frac{1134*3.6}{100}

x = 11.34*3.6

x = 40.824g

His daily fat intake is 40.824g.

The food contains 25.6 IU of Vitamin D3 in 100 kcals of energy. what is his daily Vitamin D inake?

Similar logic as above.

25.6IU - 100 kcals

x IU - 1134 kcal

100x = 1134*25.6

x = \frac{1134*25.6}{100}

x = 11.34*25.6

x = 290.304IU

His daily Vitamin D intake is 290.304 IU.

7 0
3 years ago
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