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marissa [1.9K]
3 years ago
5

When 3 + 3x - 5 - 8x is simplified, the result is:

Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0

Answer:

A

Step-by-step explanation:

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A vendor sells ice cream from a cart on the boardwalk. He offers vanilla, chocolate, strawberry, blueberry, and pistachio ice cr
Agata [3.3K]

Answer:

The different single-scoop ice-cream cones can you buy from this vendor=12

Step-by-step explanation:

Given that a  vendor sells ice cream from a cart on the boardwalk. He offers vanilla, chocolate, strawberry, blueberry, and pistachio ice cream, served on either a waffle, sugar, or plain cone.

Different types of icecreams are 4

Types of cones are 3

For each ice cream say we can have either waffle, sugar or plain cone.

i.e. for each type of ice cream, we have 3 different cones.

Hence for 4 types of ice creams we have 3*4=12 different single scoop ice creamcones.

7 0
3 years ago
An acorn falls from the branch of a tree to the ground 25 feet below. The distance, S, that the acorn is from the ground as it f
Hunter-Best [27]

Answer:

0

Step-by-step explanation:

We are given that,

The fall of the acorn is represented by the function,

S(t) =-16t^2+25

Equating S(t) to 0 gives,

0=-16t^2+25

i.e. 16^2=25

i.e. t^{2}=\frac{25}{16}

i.e. t=\pm \frac{5}{4}

Since, time cannot be negative.

So, t=\frac{5}{4} i.e. 1.25 seconds is the time when the acorn will reach the ground.

Thus, from the figure below, we see that,

The interval in which the acorn is in the moving air is 0.

7 0
3 years ago
Read 2 more answers
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
One of u guys helped me but they keep returning it saying show your work>:(​
Rom4ik [11]

Answer:  She will need 36 yards of material.

Step-by-step explanation:

16 × 2¹/₄ can be done different ways,

First multiply ¹/₄ times 16. that is the same as dividing 16/4 = 4

Then multiply 2 times 16  2×16 = 32

Add 32 + 4 = 36

Another way is to change 2¹/₄ to an improper fraction and multiply

⁹/₄ × 16

   16

  <u> ×9</u>

   54  

<u> +9   </u>

 144

 

144/4 = 36

<u />

6 0
2 years ago
Read 2 more answers
Two lines that have the same slopes, when will they intersect
taurus [48]

Answer: No. If two lines have the same slope they are parallel lines (or they are the same line), so they cannot intersect at one point. Because the triangles are congruent, the angles where the lines meet the x-axis are congruent. Because the lines form the same angle with the x-axis, they are parallel.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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