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Lostsunrise [7]
3 years ago
7

If you want to compare two numbers and see which is greater, is it easier to use a decimal or a fraction? Group of answer choice

s fraction decimal
Mathematics
1 answer:
Rudiy273 years ago
7 0

Answer:

Decimal

Step-by-step explanation:

When using decimals the bigger number is greater.

Example) .3 > .2

If there are more 0's in front of the number in a decimal it is smaller.

Example) .003 > .0003

The reason why it is harder to visualize that a fraction is greater is because there are two numbers to look at. You basically have to take an extra step and divide.

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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

6 0
3 years ago
General admission to the Fair is $10.00. Each ride costs $4.75. If Lisa has $75.00 to spend at the Fair, what method can be used
stira [4]

Answer:

subtraction

Step-by-step explanation:

:)

4 0
3 years ago
Keelah clothing store buys coats for $50 and then sells them for $80. What is the percent of markup on the price of the coat?
REY [17]

50*x=80 (x=percent in decimal form)

x=1.6 (divide both sides by 50)

Doubke check:

50*1.6=80

80=80

Convert 1.6 into a percent:

1.6 -> 160%


4 0
3 years ago
What fraction of the students in the class named baseball their favorite sport
mojhsa [17]

now, let's take a peek at the denominators, we have 3 and 8 and 12, we can get an LCD of 24 from that.

Let's multiply both sides by the LCD of 24, to do away with the denominators.

so, let's recall that a whole is "1", namely 500/500 = 1 = whole, or 5/5 = 1 = whole or 24/24 = 1 = whole.  So the whole class will yield a fraction of 1/1 or just 1.

\bf ~\hspace{7em}\stackrel{\textit{basketball}}{\cfrac{1}{3}}+\stackrel{\textit{soccer}}{\cfrac{1}{8}}+\stackrel{\textit{football}}{\cfrac{5}{12}}+\stackrel{\textit{baseball}}{x}~=~\stackrel{\textit{whole}}{1} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{24}}{24\left(\cfrac{1}{3}+\cfrac{1}{8}+\cfrac{5}{12}+x \right)=24(1)}\implies (8)1+(3)1+(2)5+(24)x=24 \\\\\\ 8+3+10+24x=24\implies 21+24x=24\implies 24x=3 \\\\\\ x=\cfrac{3}{24}\implies x=\cfrac{1}{8}

4 0
3 years ago
Can someone solve this real quick and show their work please. don’t answer if you don’t know how to do it:(
kifflom [539]

Answer:

m<b is 62

AB is 14 mi

BC is 7 miles

m<b is 66

AC is 29.3 miles

BC is 7 miles

Step-by-step explanation:

For the measure part triangles have a measure of 180 degrees 90+28 is 118 180- 118 is 62, for the second part you would just add four since its minus four

for the lengths you look at the congruent sides on the opposing triangles

and dont go calling me a nerd, i just like learning, i literally play starting varsity for three sports

6 0
3 years ago
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