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Naddik [55]
3 years ago
9

The price of apples at a farm is $1.99 per pound. Which equation can be used to determine c, the total price of n pounds of appl

es? (5 points) c= 1.99/n c = 1.99n c = 1.99 + n c = 1.99 − n
Mathematics
1 answer:
Ivan3 years ago
5 0
C = 1.99n. The total price is $1.99 times n, pounds of apples.
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Factorise<br> 24p2 + pq - 23q²​
Novosadov [1.4K]

<em>24p² + pq - 23q² = </em>

<em>= 24p² + 24pq - 23pq - 23q²</em>

<em>= 24p(p + q) - 23q(p + q)</em>

<em>= (p + q)(24p - 23q)</em>

<em />

<em />

3 0
4 years ago
Consider a home mortgage of ​$225,000 at a fixed APR of 4.5 ​% for 30 years. a. Calculate the monthly payment. b. Determine the
White raven [17]

<u>The formula for the monthly payment</u>.....

M= \frac{P(1+r)^nr}{[(1+r)^n] -1} , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate =\frac{4.5\%}{12}= 0.375\% = 0.00375

Total number of months = (30*12)months=360 months

Also given that, the principal amount is $225000

a.  So, the monthly payment will be.....

M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140

Thus, the monthly payment will be approximately $1140


b. The <u>total amount paid</u> over the term of the loan will be: \$ 1140*360 months = \$ 410400


c.   As the principal amount was $225000 , so the amount of interest = (\$ 410400- \$ 225000)= \$ 185400

So, the percentage of amount that is paid toward the principal =\frac{225000}{410400}*100\% =54.82\%

and the percentage of amount that is paid toward the interest =\frac{185400}{410400}*100\%=45.18\%

4 0
3 years ago
A triangle has angle measurements of 53°, 27°, and 100°. What kind of triangle is it?
Artist 52 [7]

Answer:

Step-by-step explanation:

It's an obtuse.  A triangle is considered acute if all 3 angles are acute; it is considered obtuse if one of its angles is obtuse.  Ours has a 100 degree angle, so it is obtuse.

4 0
3 years ago
15. Before oil is added to a certain road surface material, the other ingredients are mixed. The mixture contains
mojhsa [17]

Answer:

sand = 3450 pounds

3/4 inch stones =6750 pounds

1 inch stones =4800 pounds.

Step-by-step explanation:

The mixture composition is :

45% three-quarter inch stones

32% inch stones and

sand for balance

The percent here is by mass of material used.

Weight of mixture is 15,000 pounds before oil addition.

Use the percent by weight for the two types of stones and calculate real values in pounds

Formula to apply is:

Mass percent = (mass of a material/ total mass of mixture) * 100

For 3/4 inch stones it will be:

0.45= \frac{x}{15000} *100\\\\0.45=\frac{x}{150} \\0.45*150=x\\x=6750

The 3/4 inch stones weigh 6750 pounds

The 1 inch stones will be

32/100 * 15000 =4800

The 1 inch stones weigh = 4800 pounds

Total for the two items : 4800+6750 =11550 pounds

The sand used weighs : 15000 - 11550 = 3450 pounds

8 0
4 years ago
What is the inverse function of f(x) = x/x-2
kherson [118]

Answer:

The answer is:

y =  x/x  −2

6 0
3 years ago
Read 2 more answers
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