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Aleksandr-060686 [28]
2 years ago
5

Solve the following: You purchase a set of Bluetooth earbuds for $45 and use a $5 off manufacturer's coupon. If sales tax is 8.2

5%, how much do you pay for the earbuds? Include the dollar sign in your answer and round to two decimal places.
Mathematics
1 answer:
xxTIMURxx [149]2 years ago
4 0

Answer:

43.3

Step-by-step explanation:

45-5=40,

0.0825*40=3.3

40+3.3=43.3

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HELP ASAP PLEASE <br> FIND THE VALUE OF X
yaroslaw [1]

Answer:

80

Step-by-step explanation:

7 0
2 years ago
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Jenny bought 0.18lb of penny candy. Will bought 0.9lb of penny candy. Who bought more?
Natasha2012 [34]

Answer:

will

Step-by-step explanation:

jenny bought 18/100

will bought 9/10

3 0
3 years ago
The value of the solid's surface area is equal to the value of the solid's volume. Find the value of x. We know the length is 9
Lerok [7]

Given:

The value of the solid's surface area is equal to the value of the solid's volume.

Length(l) = 9 units

width(b) = 4 units

Height(h) = x units

To find:

The value of x.

Solution:

Solid's surface area is

Area=2(lb+bh+hl)

Area=2(9\times 4+4\times x+x\times 9)

Area=2(36+4x+9x)

Area=2(36+13x)

Area=72+26x

Volume of solid is

Volume=l\times b\times h

Volume=9\times 4\times x

Volume=36x

Solid's surface area = Volume of solid

72+26x=36x

72=36x-26x

72=10x

Divide both sides by 10.

7.2=x

Therefore, the value of x is 7.2.

4 0
3 years ago
Write algebraically:seven times the sum of a number and three is at most 23??<br>​
Lena [83]

Answer:

7 * x + 3 < 23

Step-by-step explanation:

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5 0
2 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

6 0
3 years ago
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