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igomit [66]
3 years ago
11

Bill made 5 gallons of fruit punch. If 1/4 of the punch was cranberry juice, how much cranberry juice did he use?

Mathematics
2 answers:
Temka [501]3 years ago
4 0
1.25
---------------
.................
elena55 [62]3 years ago
3 0
5 divided by 1/4 is 1.25

Bill used 1.25 parts cranberry juice.
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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
What is longer1/3 minute or3/4 min
alekssr [168]
What is longer  1/3 minute or 3/4 minute your answer should be 3/4 minute
3 0
3 years ago
 A jar contains only​ pennies, nickels,​ dimes, and quarters. There are 25 ​pennies, 21 ​dimes, and 29 quarters. The rest of the
OlgaM077 [116]
<h3>Answer:  </h3><h3>There are 75 coins that aren't nickels. </h3><h3>One equation you could use is 75+n = 92</h3>

(This solves to n = 17 meaning there are 17 nickels)

=====================================================

Explanation:

"There are 25 ​pennies, 21 ​dimes, and 29 quarters", so there are 25+21+29 = 75 coins so far. This is the amount of coins that aren't nickels. The rest are nickels, which is some amount n. This adds to the 75 to get 75+n. Set this equal to 92 because there are 92 coins in all. That's how we end up with 75+n = 92.

-----

Extra info

The equation 75+n = 92 is the same as n+75 = 92. Subtract 75 from both sides to isolate n. You should get n = 17 after doing so.

3 0
3 years ago
Which of the b-values satisfy the following inequality?5 &lt; b - 3Choose all the answers that apply: A.) b = 8B.) b = 9C.) b =
dusya [7]
[tex]\begin{gathered} \text{The inequality is,} \\ 5
4 0
1 year ago
We want to compare the quality of three Tablet products: Tablet Product A has a Mean Time Between Failures (MTBF) 10,000 hours,
skelet666 [1.2K]

Answer:

The Availability of tablets A,B and C are equal

Step-by-step explanation:

Computation for Which tablet has better Availability

Using this formula

Availability of Tablet=MTBF/ ( MTBF + MTTR)

Where,

MTBF represent Mean Time Between Failures

MTTR represent Mean Time To Repair

Let plug in the formula

Availability of Tablet A = 10,000hrs/(10,000hrs + 10hrs)

Availability of Tablet A= 0.999

Availability of tablet B = 11,000hrs/( 11,000hrs + 11hrs )

Availability of Tablet B= 0.999

Availability of Tablet C = 12,000hrs/ ( 12,000hrs + 12hrs)

Availability of Tablet C= 0.999

Based on the above calculation the Availability of all the 3 tablets are equal

Therefore the Availability of tablets A,B and C are equal.

3 0
2 years ago
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