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MArishka [77]
2 years ago
10

Gladys has just purchased a new home. The house was priced at $105,000, and she chose a 40-year mortgage at 5.2%. What will her

total cost be?
Mathematics
2 answers:
cluponka [151]2 years ago
8 0

Answer:

Monthly Payment: $520

Total Interest paid: $144,740

Total Paid: $249,740

Step-by-step explanation:

Hope this helped :) let me know if you need an explanation because its kinda confusing so i just put in the answers

Alex_Xolod [135]2 years ago
5 0

Answer:

Her total cost will be 797,661.98

Step-by-step explanation:

The total cost of the mortgage is simply the accumulated value of the loan amount, 105000 at the end of the 40 year term at an effective rate of interest  of 5.2%. We incorporate the compound interest formula; A = P(1+r)^n; A = 105000(1+5.2/100)^40 = 797,661.98

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The speed of sound is approximately 340 m / s. How long will it take for the sound to travel from the batter to a spectator who
iris [78.8K]
The first answer is 3/34 sec and the second answer is 15/34 sec.

Set up a proportion for these problems.  For the first question,
340/1 = 30/x

Cross multiply:
340*x = 1*30
340x = 30

Divide both sides by 340:
340x/340=30/340
x = 30/340 = 3/34

For the second question,
340/1 = 150/x

Cross multiply:
340*x = 150*1
340x=150

Divide both sides by 340:
340x/340 = 150/340 
x = 150/340 = 15/34
4 0
2 years ago
HURRY PLEASE When 5 and 6 are multiplied by the same factor, how do the ratios compare to the ratio 5:6? The ratios are equivale
erma4kov [3.2K]

Answer:

The ratios are equivalent.

Step-by-step explanation:

If you multiply both 5 and 6, the ratio stays the same.

5:6 = 10:12 = 15:18 = 20:24 etc.

You can try this by dividing the larger number by the smaller number. You'll always get 1.2 as the "relationship", or ratio, is preserved.

24/20 = 1.2

15/18 = 1.2

10/12 = 1.2

6/5 = 1.2

6 0
2 years ago
Casey needed to move 23 huge boxes from his truck to the loading dock. His forklift could only hold three boxes at once. How man
miss Akunina [59]

Answer:

8

Step-by-step explanation:

Since the forklift has a maximum capacity of three boxes per trip, simply divide the total number of boxes (23 boxes) by three and round up to the nearest whole unit to find the number of trips required:

n=\frac{23}{3}=7.667

Casey had to visit the dock 8 times. He moved three boxes in seven trips and two boxes in one trip.

6 0
2 years ago
Find all the zeros of the equation 12x^2-64=-x^4
Natalija [7]

Answer: all the zeroes of the above equation will be

(x-4)(x+4)(x-2)(x+2)

Step-by-step explanation:

Since we  have given that

12x^2-64=-x^4\\\\x^4+12x^2-64=0

We need to find the zeroes of the above equation.

So, we will use  "Split the middle terms" :

x^4+12x^2-64=0\\\\x^4+16x^2-4x^2-64=0\\\\x^2(x^2-16)-4(x^2-16)=0\\\\(x^2-4)(x^2-16)=0\\\\x^2-4=0\ or\ x^2-16=0\\\\\text{ "Using }a^2-b^2=(a+b)(a-b)"\\\\x^2-4=x^2-2^2=(x-2)(x+2)\\\\x^2-16=x^2-4^2=(x+4)(x-4)

So, all the zeroes of the above equation will be

(x-4)(x+4)(x-2)(x+2)

7 0
2 years ago
Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-
Rufina [12.5K]
To make a positive profit p(x)>0 we need to make:
-100 x^{2} +350x-150 \ \textgreater \  0

Now we solve this for x:
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We have:
a = -2
b = 7
c = -3

We will use formula for quadratic equation:
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We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3
5 0
2 years ago
Read 2 more answers
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