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Hitman42 [59]
3 years ago
7

Ratios that show the same relationship are

Mathematics
2 answers:
olchik [2.2K]3 years ago
8 0
Equivalent because they are the same
iVinArrow [24]3 years ago
6 0
Equivalent
because <span>If two ratios have the same value, then they are equivalent</span>
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You are doing marketing research to find out the purchasing potential of students in the community. Based on the latest census,
Angelina_Jolie [31]
Number of students = 9860
Total Population = 62,400

Percentage of students in the population can be calculated by:

(Number of students/Total population) x 100%

Using the values, we get:

Percentage of students = (9860/62400) x 100% = 15.80%

Thus, students constitute 15.80% of the entire population
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3 years ago
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How do I solve -4 times the square root of 1/10
schepotkina [342]

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Step-by-step explanation:

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3 years ago
Lenny and Lisa have obtained a 30-year, fixed rate mortgage for $675,250 with a 7.25% interest rate. They purchased 3 points and
Vikentia [17]

Answer:

119 months

Step-by-step explanation:

In this question, we are asked to calculate the amount of time it would take for a break-even point on a mortgage, if there is a factoring in the cost of points.

We proceed to answer the;

Mathematically,

The Break Even Point = Amount Paid for purchasing Discount Points divided by Monthly savings in the interest payments

We lost out the important values given in the question as follows:

Amount of Mortgage - $675,250

Tenure - 30 Years

The Rate of interest without points = 7.25%

The number of points = 3 points

The rate of interest with the 3 points = 6.875%

The amount to be paid for purchasing the discount point is now calculated below;

Since 1 discount point = 1% of mortgage value;

Therefore, 3 discount points = 3% of mortgage value

The amount paid is thus = 3% of $675,250 = $20,257.5

To calculate Monthly payment without points, we use the mathematical formula;

M = P[r(1+r)^n/((1+r)^n)-1)]

Where M

Is monthly payment, r is the interest rate, n is the number of months.

According to the question M = 675,250, r = 7.25% = 7.25/100 = 0.0725 , n= 30 * 12 months = 360 months

M = 675,250[0.0725(0.0725+1)^30/(1+0.0725)^360)-1) = $4606.40

To get the monthly payment with points, we simply use the formula again but this time interest rates will be 6.875% = 0.06875 I.e r = 0.06875

Inputting the terms in the formula will yield a value of $4435.91. This means monthly payment with discount will be $4435.91

Savings in monthly payments after purchasing the discount points = $4,606.40 - $4,435.91 = $170.48

Break Even = Purchase cost of Discount Points / Monthly savings

= $20,257.5 / $170.48

= 119 Months

Hence, the number of months it will take Lisa and Lenny to break-even point on their mortgage will be 119 months

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3 years ago
F(x) = x^2 What is g(x)?
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D

graph becomes slimmer, so definitely be multipled 1/2

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The three vertices of a triangle drawn on a complex plane are represented by 0 + 0i, 4 + 0i, and 0+ 3i. The length of the hypote
nirvana33 [79]
Once you have the points they make a 3-4-5 triangle. The two legs are 3 and 4, so the hypotenuse has to be 5. Or you could use the pythagorean theorem a² + b² = c² 3² + 4² = c² 25 = c² c = 5
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1/2(3*4)
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3 years ago
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